We are at lecture two, second day of classes in this spring 09 semester. We are in the process of kind of reviewing a little bit, it's a little bit redundant with the end of 141, but sometimes those things are covered rather quickly, so we're trying to pick back up on those things, refresh ourselves, and then get into new material in the end of chapter five, numerical integration and improper integrals. Then we go into chapter six, which is applications of integration. A lot of fun things in chapter six. And chapter seven along with the supplement is first and second order differential equations. That's not all the differential equations that most of you will get because you will get a full course math 341, or possibly two courses 341 and 401 in differential equations, but we get a little taste of it in this course, which again, attributes to the choppiness of this course. And then we'll finish the course with infinite sequences and series, which is probably pretty new for most of you in the classroom. I doubt if many of your high school classes had anything to do with infinite sequences and series. Let's wrap up trigonometric integrals today. This is, I'm going to have to rewrite this or learn how to read upside down. I'll probably rewrite it, but I give me some time and I will learn names. Four of your names I already know because you're repeating and not repeating the course. Going on to the next course in this situation I had you in the previous course, but the rest of you give me a couple of weeks and I'll try to learn names. I did find out that this actually, if you happen to be ill and you miss class, this on a delayed basis, I'm not real sure the delay factor through four days. It runs on Raleigh Cable Channel 18 and it airs at 5 a.m. Doesn't that sound fun? Let's all get up at 5 a.m. and watch 241 Calculus. My wife probably well on occasion. We've already addressed that last semester. And 5 p.m. So if you do miss class and we can figure out when this lecture, which one you missed, you can actually see it a few days later on the Raleigh Cable Channel 18. 5 a.m. and 5 p.m. Nauseating people during the dinner hour all over Raleigh. Okay, that's my goal. Let's wrap up the kind of the basic trig integral problem by looking at one that looks like this. It's got a little twist toward the end that we did not look at yesterday. When we're stuck with even powers of sine and cosine, that's where we have to use that double angle identity or that half angle, whatever you want to refer to it as. So we made a substitution yesterday. You might want to look back at your notes either from yesterday or the notes that you have from the end of 141. What did we substitute for sine squared using the half angle or double angle identity? Okay, so one half. I'll take that over two and bring it out front. One minus cosine of 2x. Is that right? And what if we're again stuck with even powers of sine and cosine, which we are? What can we plug in for cosine squared? Same deal with a plus sign in the middle. So let's see what happens here and then we encounter another situation that we didn't encounter yesterday, but I think we have all the ammunition we need. Let's bring the one fourth out in front. If we multiply the two things that remain, the two binomials, what's the first term of that? Next term. What about the middle term? There isn't any middle term, right? Because it's a minus b and a plus b, right? So we lose that middle term and what's the other term then? So we have one fourth that will stay out in front. We're going to integrate one with respect to x. I could do that. That's not the reason for looking at this problem. This is pretty simple, obviously. Here's the reason for looking at this example. We're stuck with another even power of sine or cosine. What's the derail? What do we do when we're stuck with an even power of sine or cosine? Stick. Here we've got cosine squared x and we made this substitution, right? Well, we don't have cosine squared of x. We now have cosine squared of 2x. Is there a similar substitution? Yes, would be that answer, okay? And the next question is, what is that substitution? See what happens? Actually, I'm thinking of, that's later, okay? That's when we actually begin to integrate it. Cosine squared of x, in that when we came up with this substitution, our answer was in terms of 2x, right? That's why kind of it's a double angle identity. Now our angle is 2x. What do you think is going to be the new one? 4x. 4x, okay? But it's the same concept. So I won't simplify the first part because you know how to do that. But the second piece, because again, we're stuck with an even power of sine or cosine, we can use this same, let's call it a double angle identity. So for that, I can put in, you tell me what to write down, for cosine squared of 2x. One half times cosine 4x. Does that make sense? So whatever the angle is, it gets doubled using this identity. Whatever this angle is, it's getting doubled. So then, which I think is what Nicole was addressing, so we've got a, I'm going to go ahead and put brackets around that too. So I've got brackets within brackets. That's again not the issue. I'm trying to get to the reason why I wanted us to do this problem. We've got a 1 dx and we've got a cosine of 4x dx. This is the kind of problem that if you're not doing the substitution in your head at this point in time, I'd really like for that to be a short-term goal in this class. So I think everybody probably feels reasonably comfortable that if you have cosine of u du, you can work your way back to the antiderivative of cosine of u du. What has cosine of u for its derivative? Sine of u. No substitutions are necessary there. Now, kind of think through this process in your mind. Do we really have cosine of u du in the integrand? Well, we have cosine of u because we can call u anything we want to. But do we have du? What do we need? We need a 4 and a 1 fourth or you can kind of forego the 4 by saying we have 1 fourth of what we need. Does that make sense? So if you like to kind of put the things in there that it's lacking numerically, we need a 4. Can't just manufacture a 4 without manufacturing a 1 fourth as well. So now is this cosine of u du? It is. Now it is. So that's the kind of thing that as we enter into calc 2, those are kind of things that you should be doing in your head more and more. So this part of the problem, I'll just, I don't think there's going to be any problem with that part right now. But if we're integrating cosine of u du and we get sine of u, what is u? 4x. 4x, right? Is that okay for that last integrand? And the other ones, I'm assuming are simplistic enough to kind of battle through the arithmetic and be done. Now we've still got some brackets to deal with and coefficients out in front, but I wanted us to get to that point in the problem. Most specifically, I wanted us to get to this part of the problem. Those double angle identities can be used anytime you're stuck with an even power of sine or cosine. Is that alright? Can I take that away? Any questions on that before we move it? Alright, this is a little different direction, but it is also handled in section 5.7 a little bit, not much, it's not in depth. But there are some other trigonometric integrals that we might encounter and they are not just sine squared, sine cubed, cosine to the fourth, cosine to the fifth, not just powers of sine and cosine, but powers of secant and tangent. So let's at least take a quick look of secants and tangents in the same integrand. Now the thing, there are several things that come to mind when you have sines and cosines in the same integrand. How are sines and cosines interrelated in calculus? Derivative of sine is cosine, right? That's an interrelationship. Derivative of cosine is negative sine. There's another interrelationship and we have that Pythagorean relationship, sine squared plus cosine squared equals one. So we've got some interactions between those two functions. We've got similar interactions between secants and tangents. Give me some calculus something that has secants and tangents in it. What's derivative of secant? Secant times tangent. Right? There's an interaction in calculus between secants and tangents. What's derivative of tangent? Secants squared. There's another interaction between secants and tangents. Derivative of tangent is secant squared. Give me the Pythagorean identity that interrelates secants and tangents. Secants squared plus one equals secant squared. Okay, tangent squared plus one equals secant squared. How many of you knew that right on the tip of your tongue? Okay, well, you did. I didn't, honestly. I always kind of have to think. Here's what I start with. I know this one. Sine squared plus cosine squared is one. Everybody feel reasonably good about that one. Okay? Now, we want this new one. What can I do with this old friend of mine to convert it into my new friend? Divide by cosine squared. So what's sine squared over cosine squared? Tangent squared. What's cosine squared over itself? One. And what's one over cosine squared? Secant squared. So if you don't recall it readily, you've got one that I'm sure everybody does and use that to come up with a new one. So these three things, the Pythagorean identity, and there's different versions if you want to solve it for secant squared, this is the one. If you want to solve it for tangent squared, you can move the one to the other side and make it secant squared minus one. But those will help us solve this problem. Now, in the book, at the end of 5.7, this is one of the problems. And the author gives you this suggestion, which may or may not be all that helpful, really. Let u equal the secant of x. Not necessarily that u, that secant. I'm not going to say, oh, there's u. Now, I've got to deal with the rest of it. There's a tangent cubed. We're going to do this problem as a substitution problem, and we're eventually going to let u equal the secant of x. But keep in mind, if you're going to let u equal the secant of x, we better also have a du in the integrand. You can't integrate u things unless you have a du in the integrand. We agreed on that? You can't integrate u things with respect to x or r things with respect to q and so on. So what else needs to be in that integrand if we're going to let u equal secant of x? What's du? Secant tangent. Can we come up with one of those? We're going to have to move some things around, right? Let's take one of the tangents from here, send it out there to the right, and put it with the secant, and then we've got a du sitting out there to the right. So take one of the tangents. That makes that a tangent squared. Ooh, I got an idea for that too. So that's kind of what we did yesterday with the odd powers of secant, excuse me, odd powers of sine and cosine. We took one of those and we sent it out there to the right. This is the same kind of idea, sending it out there to the right so that this becomes eventually our du. Well, if this is going to be du, keeping in mind that u is secant of x, there's du. Doesn't this have to be something in terms of u? Right. So there we go. We want to get rid of tangent squared and get something equivalent to tangent squared that has a secant in it because we need secants. We don't need tangents. So for tangent squared, what was it? Secant squared minus one? Now, if we just kind of plug in our letters that things are going to represent in the substitution, this becomes, I think, a pretty easy looking problem, easier looking. So with u being secant of x, du being secant of tangent, what does this integrand become? u squared minus one du. Good. u squared minus one and all this stuff is du. That's a much easier looking integrand. So let's go ahead and finish it. What's the antiderivative of what we have at this point? Plus c. Everybody alright with that? And let's substitute back. Every time we see a u, we should replace it with a secant of x. Does that work? Any questions for it gets moved? I'm going to give you another one with a suggestion for a substitution and let you battle it for a few moments. Another secant tangent problem. This time we're going to let u equal tangent of x. Take a few seconds and try to make a decision of how you would slide things around or rename things or how you would do this integral. Keep working but I just want to, we got two chandlers, so I'll try to kind of decide which one I'm referring to. So, okay, hopefully you've decided kind of how to start the problem. What are some things that maybe you thought about or you actually wrote down before you started taking things away or moving things in this problem? Okay, good choice. du is secant squared. We're going to need one of those. If it's not in there, we can't manufacture it because it's not numerical. Can't manufacture variable quantities inside the integrand. What's next? Okay, good. Pull out a secant squared, which leaves another secant squared. So we've got that sitting out there for the purpose of its du, right? And if that's all going to be du, then doesn't this all need to be stuff in terms of u, in terms of tangent? Okay, part of it already is. So what choice needs to be made to get rid of secant squared? Good. How many of you were to that point in this problem you had gotten in? Okay, good. You'll see many, many times in this semester that I am not needed. Okay? I'm just kind of here to, you know, make it look official. But I'm just a figurehead. Okay? You're the ones that actually need to be able to do the work. So does everybody feel good about what we have that it's a solvable problem at this point? So when we convert stuff to u's and du's, this is going to be tangent to the fourth, which is eventually going to be u to the fourth, right? Tangent squared, which is u squared, and then this stuff is du. Everybody all right with that? Okay? Questions before I move it. There's more to it, but we've kind of already done that, and this is review anyway. So, okay, let's switch. I thought actually driving in to work today, I thought I might dig up the 141 final exam that I gave, and ooh, that brought some interesting looks. Looks could kill. I'd at least be severely wounded. We're going to review partial fractions. So let's do the problem that I had on my final exam from 141. We're going to review trig substitution. Let's review by using the problem that was on the 141 exam, and let's review a trig, I'm sorry, a table of integrals problem that was on the final exam, okay? Here's the directions. Decompose into partial fractions and integrate, and then you can also see how ridiculously mean I am that I chose these ridiculously difficult problems. Not really. Okay, so that's a pretty ugly looking integrant. So we want to take kind of off the side before we do the calculus problem. We want to take this rational function that conveniently is factored for us, and we want to decompose it into partial fractions. Tell me how to write that beginning step of this decomposition. Okay, good. I heard that from a couple of you. A, which A is a number. We don't know that number yet, but A is going to be some constant over 2x minus 1. What's the nature of that factor that we chose from the, it's linear. So a linear factor, even if it's a repeated linear factor, right? Always gets a constant numerator in this decomposition. So if this had, well, we'll do some sub cases when we're done with this. But linear factor gets a constant numerator. Next part of the decomposition. Good. So the next factor is an irreducible, right? If it were reducible, factorable, we would do that because it'd be easier. The problem would be easier if it factored. It doesn't factor. So it's an irreducible quadratic, and irreducible quadratic denominators receive a linear, we don't know the numbers involved, but linear numerator. I guess I should have done this before. What's the degree of the denominator? It's x cubed, right? And we've got an x squared in the numerator, so we don't need to do any dividing first before we start this process. But x squared over 2x cubed plus some other stuff, we can go right into the partial fractions decomposition. Everybody had that, I hope, in 141? No? Okay, that's a good reason for us to start this course with it. So if we can convert this ugly integrand into things that are added together, then we can integrate each piece of the sum. Is that right? And this, I can tell you what that's going to be, regardless of what a is. A could be negative 1711th, or some horrific constant. It's still going to be a natural log, isn't it? Isn't this, when we integrate it, going to be a natural log? Where the derivative of the numerator is, for the most part, the, excuse me, the numerator is the derivative of the denominator. Anytime that happens, then that's going to be a natural log. This could be a couple of different things that will actually, probably beneficial for us to review this as well. This, by the way, is in two places in your book. It's not only in this section that we're reviewing, 5.7. It's also at the back of the book, and that is appendix G, appendix G in the back of the book. So if this was something that was not hit extremely hard in your 141, and when we're done with this problem, you need a little bit more. Not only can you look at problems here, 5.7, but also some of the background from appendix G. So what would be the next step? Get a common denominator. So we need an x squared plus 4 here. We can't do that without also multiplying the numerator by x squared plus 4. We need a 2x minus 1 here, which we can multiply the denominator by that as long as we multiply the numerator by that. So x squared plus 4 over itself is really just 1. So we're multiplying by 1. That's legal. 2x minus 1 over itself is 1. So it's another version of 1, but again, that's legal. This is a step that you can probably forego, kind of skip over it. But now we have the denominators the same, right? We've got two fractions with like denominators, so we can add them. How do you add them? You add the numerators, right? And write them over the common denominator. So that's a step that you can probably skip because obviously we were making the denominators the same. That's why we did what we did. So now the denominators are equal. It's a matter of equating the numerators, right? So you could skip this step and go right onto this step. What makes the numerator on the left side equal to this new numerator on the right side? Let's go ahead and multiply things out. So that's what? Ax squared plus 4a 2bx squared plus 2cx minus bx minus c. Does that look right? How many x squared do we have on the right side? There's a term and there's a term. So a plus 2b. So we've taken care of that. Take care of that. How many x do we have on the right side? There's our x terms 2c minus b of them. Taking care of those now. And everything that doesn't have an x squared and doesn't have an x is a constant. So let's put those together for a minus c. So notice there's no calculus going on here. None of this is calculus. This is algebra. It's probably algebra that you never really did in Algebra 2 because what would be the purpose of taking a nice single fraction and decomposing it into two pieces, didn't we do things the other way in Algebra? Didn't we take two pieces and try to put them together into a single piece? Well, the advantage is that we end up with a sum. Each of the pieces of the sum is simpler than this ugly-looking original integrand. So we can work with those pieces and hopefully they'll be easier than the original ugly integrand. So we have this equation. So we want to equate things left side and right side. Tell me what things come to mind from where we are right here. A plus 2b, the coefficient of x squared over here, has to be equal to the coefficient of x squared over here because these two sides are equal. So a plus 2b has to be 1. Tell me another equation. So there's a negative 1x and this is how many x we have here and the third equation. So here's an equation with a and b. Do we have any other equation with just a and b? No. Here's an equation with b and c. Any other with just b and c? Here's one with a and c. Any other with just a and c. So we don't have that easy route. So we're going to have to do some kind of substitution, right? From one equation into the other two. I don't care. Somebody tell me what to substitute. Okay, you want to solve for b? So using the first equation, 2b equals 1 minus a and solving for b, b is, sure you want to do this one? Solve for b in the second one? I think I like that better. I don't want to mess with fractions at this point in the problem. I know I'm going to get them later. I'm going to abandon that one when I realize I've got fractions. It'll work, but I just don't want the fractions. So the next suggestion was what? Solve this for b. So I'll move the b to the other side to make it positive and move the negative one from this side, which makes it positive over here. So that's what? 2c plus 1. And what do I want to do with that new value for b? So we've kind of used this one. Don't we want to plug that into the first one? Is that good? So instead of a plus 2b, it's a plus 2 of these. A plus 2b is supposed to be 1. So now a plus 2 of these things is 1. And the other equation is 4a minus c equals negative 21.  So I'm going to move that 2 to the other side. It makes it negative 2, which is what? Negative 1 on the other side. You can accomplish this in fewer steps and kind of writing every step. So we want to get rid of the a's or the c's. What's the quickest and easiest way? Same kind of either way. Since one of these has positive c's and negative c's and the other has negative c's, why don't we multiply the second equation by 4? Does that work? First equation, we'll leave alone. Second equation, everything times 4. The c's will drop out that way. And what is that? Negative 84. Atom, 17a. Those drop out. When you add them, that's the goal, was to get them to drop out. And what do we get here? Divide both sides by 17. And what is that? Negative 5. Now we should be able to get the other coefficients a lot more readily than we got this one. If we know a, what can we now do? Either of these, right? The equations that have a with one other letter. Well, let's see. What's the best, best approach here? Plug it back into this one. Pretty simple one. So a plus 4c is negative 1. A is negative 5. Add 5 to both sides. C is 1. And now we've got a and c, so we can kind of choose whatever equation to find the other. We substituted earlier in the problem. For b, we substituted 2c plus 1. Now we know c. So b is 3. All integers, that's pretty nice.  That's pretty nice. Right? It could have been a lot worse.  So let's go back to our original problem. That was one of our decomposed fractions. And there's the other one. So let's plug in the letters, the numbers for the letters that we now have. So a was, what was a? Negative 5. B was 3. And c was 1. So we had an integral problem to start with. We still have an integral problem. Now we want to reinsert the integral sign. We're going to integrate that with respect to x. And we're going to integrate that with respect to x. Again, this is something that if it's not a quick and easy substitution for you in your head, let's make that a short term goal. Let u equal 2x minus 1. Derivative of u is 2 dx. So this problem, I'm going to slide that negative 5 out in front. Once that negative 5 is out in front, then I've really got that. And how do I need to adapt that so that it's a workable integrand? Need a 2, right? This is u. So I'm going to have 1 over u. I better also have what? Du, which we don't have du. So I'm going to multiply by 2 and divide by 2. So this is now du over u. I don't think we've encountered that yet. We haven't had a lot of class, I guess that's why. This is du over u and what's the integral of du over u? Is that good? Remember that from 141? There'd be a plus c there. So we've got a negative 5 halves. Here's a du over u, which is natural log of u. Does that work? So the first one, we kind of benefited greatly from having this decomposed function. That's a pretty basic integral problem. Now that you've completed successfully 141, that's pretty easy problem. Now the next one we probably want to put into pieces. 3x dx and 1 over that same denominator. That's legal, isn't it? You have a summer difference in the numerator. You can break it up into two pieces over the same denominator. That would be yes. The answer to that would be yes. That's legal. We have nice microphones. We've got to put them into use so you can talk. But these are different approaches. The approach to this problem and the approach to this problem are very different. You might want to tackle one of the two and tell me what the approach is to that problem. We don't have an x on the top. If we did, if this were 1x, oh, this one. Yes, okay. There we go. In this one, we've got x squared down here. We've got the derivative of x squared kind of. We have to doctor it up a little bit. So can't this be u and the numerator be du? Okay, let's do that. I don't want the three there. You don't either. So let's move it out front. Let's not write it down. Let's think through it. What's our u? x squared plus four. What's derivative of u? 2x dx. Do we have that in the numerator? No. No, but it's correctable. So let's multiply by 2 and divide by 2. Now we're in business, right? So Chris, right? Chris said, for this one, it looks like we can tackle this one the same way we tackle this one. This is u down here. The numerator is now du. We've got a du over u, which is integrating back to a natural law. Now I could put absolute value of x squared plus four. You don't really need it, the absolute value, because it's positive anyway. Is that okay? If you're not liking that, because that's kind of too much cognition and not enough writing down, here's what we did. For u, we're calling u x squared plus four. Du would be 2x dx, and that goal was then to put it in this form, du over u. And if you don't like du over u, it's 1 over u du. Same thing. Is that all right? What's the approach on the last one? That's an inverse tangent. And the inverse tangent integrand, kind of the most generic one, is this one. When it's in that form, where this is some number squared, right? And this is some variable quantity squared. And this is the derivative of that variable quantity that's being squared. How's that going to work then? What's that? This is part of 141. Again, maybe didn't get the attention that it should have, but let's give it some attention now. 1 over a, not natural law, inverse tangent of u over a plus c. So if that looks completely new to you, you probably want to look back through earlier sections in chapter five. Where'd we first encounter that? I don't know, chapter five, somewhere before 5.7. That's also, if you want to check that out from the table of integrals, that's one of the formulas from the table of integrals as well. So here's our problem. A little actually simpler version than that one. So our u squared is really x squared, right? And our a squared is 2 squared. So what is that for us? 1 over a would be 1 over 2, inverse tangent, x over 2 plus c. Does that work? The reason I chose that problem for the final exam is it has lots of things in that same problem. So I didn't have to ask a separate natural log integrand because it's here. I didn't have to ask a separate inverse tangent integrand because it's there and the partial fractions that got us starting. So that's really about three or four problems in one. I can see that by facial expressions that this guy right here is one that's not sitting well with many of you. Let's back up before we do our next example. Let's take a look at that because if we review that and you can see what the derivative of that is, then it possibly will make it look a little nicer that the anti-derivative of that ugly thing we just did is in fact an inverse tangent. You might remember that off the top of your head. That's 1 over 1 plus x squared. Now I'm not saying that that's going to be the magical answer to this review that we're conducting. Let's back up from that just a tad. There's the function y equals inverse tangent of x and we want to find y prime. We want to find the derivative. We know what we're going to get. It's going to be this. But let's see where that comes from and maybe we can put all this together and we get this whole concept reviewed. So if we don't really know how to differentiate an inverse tangent, we have to rewrite that. So if y is the inverse tangent of x, another way of saying that is y is the angle whose tangent is x. Does that sound right? That's what inverse tangent means. y is the angle whose tangent is x. How can I rewrite that? If y is the angle that I'm going to take the tangent of to get x. Tangent of y equals x. Those two statements are equivalent. So if you don't know how to take the derivative of an inverse tangent, I feel reasonably confident that everybody in here knows how to take the derivative of a tangent, right? And this is tangent of y, but we can do implicit differentiation. What's derivative of tangent of y with respect to x? What's derivative of tangent of something? Secant squared of that thing. And then we're deriving a y thing with respect to x. Does that look familiar? That's again chapter five. No, that's earlier than five. That's implicit differentiation, which is way earlier. So we're deriving a y thing with respect to x. Every time we do that, we have to kind of acknowledge the fact and the chain rule or implicit differentiation. We're trying to do that. So derivative of tangent of y is secant squared of y dy over dx. Derivative of x, I gave the answer away, with respect to x is 1. And what do we want? We want y prime. That's dy over dx. So it's 1 over secant squared of y. What's 1 over secant squared? What's an easier way of writing 1 over secant squared cosine squared? But that's still, now we've got this answer in terms of y. And what we really want is an answer in terms of x. So let's take this guy right here, get a picture of what that statement says. Y is the angle. And when we take the tangent of y, what do we get? We get x. So how do I label some other parts of this triangle? If the tangent of y is supposed to be x. Opposite is x. And adjacent is 1. Does that diagram say the same thing that this statement says? Is the tangent of the angle y is it equal to x over 1? And if you know two sides of the right triangle, can't we figure out the third side? So these are the two legs. So x squared plus 1 squared. Take the square root. We've got the hypotenuse. x squared plus 1 squared is 1 plus x squared. Square root. So we want the cosine of y and then we want to square it. What's the cosine of y from this diagram? Adjacent over hypotenuse? Is that right? Hey, how about that? What do you get when you square that? There it is. There's the guy. The derivative of inverse cosine is what? The first one. Not squared. This one? Yeah. Derivative of inverse cosine is, now, it's got similar letters and numbers, but they're not in that same position. This is honesty now. I'll be honest with you. At this very second, I don't know what it is, but I know in about 25 seconds I could derive it. So some of those things that I've got limited space up here, probably very limited compared to you. It's what happens when you get older. So I don't want to use up limited space for that. I know I could come up with it in about 20 seconds if I needed it. But it does have similar letters and numbers, but not exactly that same order. But there is kind of the background of why derivative of inverse tangent is something that looks really strange like that. Now, if that's the derivative of inverse tangent, shouldn't we be able to anti-differentiate this back to the inverse tangent? Is that right? So let me wrap it up today with this. If this is derivative of inverse tangent, we ought to be able to anti-differentiate something that looks like this and work our way back to an inverse tangent. Right? We're done for today. I will see you tomorrow.


اپنی ایشو کے درس طرح ترمی伸 کا رہنا جو وقت ساہتا ہے جس ہم اگر قرآن بات سبری کی صرف ہم دی گا ہے لیگہ وقت کے نظرة ہمس چلی کی درس ترمی بیشتہ ہے۔ ہم جب所有 جانتے ہو کوئی بہت ریا ہے تو لگھر بات بچانے والے جو آپ کو اللہ سے بھی را لکھنے کے لئے۔ آپ کو اللہ سے چلی کو بھی را لکھنے کے لئے۔ آپ کو آپ کو اللہ سے بہتر ہے جو آپ کو اللہ سے بھی را لکھنے کے لئے۔ COMMAND chart comment شکریز میں ایک اصوص سلنی ایک ایک اصوص سلنی ایک اصوص سلنی today perhaps the pressure of society is worse than the pagan time the reason I say this at that time they oppressed women with women knowing that they were oppressed today they are they are abusing female in a way that the females look forward to the abuse that's what it is they have when they decided a long time ago when they saw that we can no longer make use of the nude women to fulfill our lusts and desires to be paraded in front of us they chose to do something more intelligent they said to themselves we will design clothing for them we will make sure that we make it the in thing by promoting it in the media and by using whether it is movies or adverts or whatever else in order to promote what they are supposed to be doing in such a way that they consider it liberation to remove their clothing so when they remove their clothing they are now liberated I remember in Africa one of the leaders was commenting about how the world has forced women through brainwashing them to remove their clothing and consider that liberation and he said we in Africa many years back before the colonialist came in we used to wear feathers and skins to cover our private parts and we used to move around with spears and daggers and here comes the colonialist and tells us that you know what this is backward this is really backward it's unacceptable you people are bushmen they called us bushmen you know may Allah ﷻ forgive us they called us bushmen and they said you people are not even clothed and they came through with beautiful clothing to be honest that covered the female and even gave her a Victorian cap which had a net they covered her so beautifully and now the same African is saying why we were liberated you took away our liberation because according to you now you have changed everything and you are now going back to where we were by saying you go back and put on the skin and put on the feathers and just cover the front and the back and you are liberated so we were already there you took us out of civilization and you brought us into degradation and now according to you you are taking us back to civilization but that's not the case it means there is something sinister it means a brain and a mind that is thinking mind will actually go and ponder and will say definitely something is wrong here something is wrong daughters are special you're not supposed to be nude just for the desires of men and people say no I'm doing it for myself no you're not cannot be I'm doing it for myself no I tell you why if you put on two pounds of weight you will cover trust me it's a fact it shows that you're enslaved total enslavement if there is a small blemish on your head you won't go out you need something make sure even if it means 30 minutes and it means 308 one one pumple worth it worth it at least when I go out there we are I remember when I first came across this beauty camera you know they have a beauty camera it takes off all your blemish has gone you know so first came across the beauty camera and I thought to myself you know if women maybe even men could actually move around with a little screen in front of them just so that when you look you can just see a filtered image already they would do so it might happen one day Subhan Allah you see little screens walking that is how enslaved we are we are embarrassed because of the normal natural pimples that we have you see we are embarrassed because of that why because we are enslaved to a certain extent it's not bad to look good Subhan Allah but within the limits remember why are you doing it Allah says don't do it for the opposite sex because it won't stop if you do it for Allah Subhan Allah for your spouse for example for a good purpose you know you want to feel good you are not going to show it to the world perhaps yes but if a person is doing it for the opposite sex it is called تبرج تبرج meaning you are too special to engage in that you're not allowed to engage in تبرج تبرج to show off to other men something that's not even theirs make them wish you know may Allah forgive us for what and like I said Allah sometimes Subhanahu و تعالی gives us these beautiful rulings in such a way that if we were to ponder over them we would realize that it's a gift for other sisters you might be gorgeous you might be Mashallah the most you know good looking so pretty everything you can show wait wait look at the others around you perhaps you are putting pressure on them perhaps you are a reason why their home is breaking because now the men are becoming used to a certain figure that they are being bombarded with all along daughters are too special for that if you want to contribute to building their homes you need to also dress appropriately that's a fact if you may not have understood what I said let me say it in a different way sometimes what happens is a person who may not be up to the tip top shape that the world wants to see would be looking at those who are exposing themselves and burning in her heart to say wallahi she doesn't know what she's doing in my marriage and in my home just by exposing I don't have that hair I don't have this I don't have that so what does she do she will go to have an operation in order to change the creation of Allah she will go because she's dissatisfied she's not happy she will go and try and change her shape completely and her face and she will go in for plastic surgery and she will still not be satisfied and she will go in for so much more just because there are a few who are Mashallah gifted by Allah but they are showing that all to create a trend and an environment of enslavement of the female that's what it is enslavement take a look at these products that we have in the market beauty products I'm not saying they are bad don't get me wrong you may want to use those that are permissible yes like I said you have every right to be looking you know presentable and good according to you but why are you doing it that's the question that's all the amount of money being used by people to try and change their complexion go and Google it check it is unacceptable why what is so bad and this is why Islam has made it clear that your complexion is chosen by Allah there is no virtue of a person coming from Africa over the one who comes from Arabia and vice versa except by their closeness to Allah so my sisters my daughters you are too special to be bothered about things that Allah has chosen for you that having been said I'm not saying just let yourself go no you know people might say okay someone husband might say you gained 20 kilos in the last two weeks well ever since that straight path talk I'm not worried anymore that's not what I'm trying to say yes you need to be fit you might want to for example you know people have asked me is it wrong to go to the gym to be honest let's change the question is it wrong to keep fit no it's not you have to where you do it how you do it what environment you do bear in mind you're a Muslim that's all سمپل I'm not saying don't have your work out every day half an hour one hour Mashallah you can work out you can do whatever سبحان اللہ but where and how and when you do it remember you're a believer you're a believing female you need to consider the fact that if I were to die here and now would Allah be pleased with me سمپل this is the speciality this is what Allah سبحان اللہ تعالی has made you special by


Okay. Bruce, do you want to go? Yeah, sure. Absolutely. Bruce Budrick, director of facilities at Amherst housing authority. Been here for a few months. So I'm jumping into this project, you know, midstream a little bit, but, you know, I think we're picking it right up. And Chad did a lot of the leg workforce before I came along. And learning as we go and trying to make sure we.  Josh from diversified construction. We're in the general contractor. I'm Gus. A dome and project manager. Linda O'Brien. I'm the wage consultant. The town of Amherst. I think Jared Gost is also here. He's going to install the siding.  He's a subcontractor. Right. So yeah, Roy is the architect Roy. Sometimes you cut out. I don't know if you feeling closer if we can hear you better, but sometimes I feel like there's a little difficulty hearing you. So I guess. And there's Pamela Rogers, the executive director of the Amherst housing authority who may join us. She's not here right now. So Josh, is there, are there other subs on the job or is it. Just the one. We might have a little bit of electrical work to do. Yeah. So what's it Jared's company. My name is construction is the company name. Okay. I'm the a hundred percent owner. Actually, this one, this is first response action. I'm sorry. I have two different companies. This one's under first response. So your first response. Okay. Well, I'm the owner and I'll be there all times throughout the whole project. I'll be there. Yeah, the one that's all exciting as well. All right. Yeah, that's important. Just, you know, Linda needs to interview every trade. Maybe we could have Linda go since that also informs some other things unless then that, you know, is there something else you want to walk through? Just general scope of work, I guess. Well, actually, it's helpful for me to hear some of that. and where we landed with everything? Yeah, sure. Watson Farms siding and actually roof. So the whole building envelope is in need of some repair. We hope to hop onto the roof next. But for the siding, quite a bit of the siding was just falling off all around the building and just in pretty bad shape. And so we have a project to replace it all. That's going to be removing of course all the siding, repairing any damage, water damage underneath because it seems like there was a period of time where the siding was off and water was able to just penetrate to the sheathing underneath. So I'm sure there's going to be some repairs. And that's why it's included in the spec. And I did have a federal React inspection in April. So what I did is in order to pass the inspection, I went ahead and had some siding work done temporarily. It was killing me to put thousands of dollars into something that I'm going to replace anyway. But you'll see that there is what we did is use some hardy board. It's not an exact match, but it's around the project here and there just to button up the areas that was falling off completely. So that's about it. We want to get it all replaced and buttoned up so we have a good building envelope. Could we back up for my benefit? Because I always think of Watson farms as like two distinct kind of developments on that property. The newer building is right by the entrance and then the smaller buildings. Which ones are we working on? Sure. So not the ones right by the entrance. Not the new ones. Not the new ones. We don't manage that. So once you pass that, go past the dumpster, the ones further back. And it also includes building 15 is the unit 15 is the one all the way down. It's almost accessed from the other street from east. I think it is. Matter of fact, you cannot access it like drive up to it from that way. There's a walkway you could get to. But that's a single unit there and that's included. So it's really multiple buildings? Yeah. So for Linda, if everyone, if you come off Main Street here, I'll just back up, it was Watson Farms Drive. So this building here and then that's Main Street Housing, which is not part of Watson Farms. So we're looking back now. And if you go and go to the left, here's another new building. Still part we call it Main Street Housing. And Watson Farms is all these single story, like one and a half story. I guess it's like two story buildings back here. So there's more than one building in Watson Farms. These are six buildings. And we're doing all six. So it's all these buildings here. Yeah. And the sheds aren't being touched, are they? Well, we're not touching the sheds because the budgets have gotten so high. So we're going to dress up the sheds with my own team, my own workers. We're going to kind of clean them up a little bit, make them look nice because we don't want to be an eyesore after everything else is all pretty. And the last building, 15, you mentioned, is this one back here, right, Bruce? It's the one that's in the back too. Yeah, that don't look like it because it's not a two story. So I don't know if you can go any further around the corner. Can you still drive up the road? I'm familiar with the site. I got Bruce was using the word building as a singular, and that's where I was getting off on exactly what's the scope of this. Yeah, well, that's that one you were talking about is further back still. Still further back. OK, is it? Yeah. Wow. Yeah, keep going. And you'll see it through that walkway. See the walkway there? It's that one up to the distance. And then you see that car in the driveway. Right. Oh, so that one too. OK. Yeah, so that building's included. If we're looking at this building, I mean, you're taking off window trim and door trim and everything, but you're not touching the actual window or doors, right? Correct. And then what about like up here, like under the roof? Are you just kind of just doing the up to the fascia or something or the? Just the trim up there. No stopping or anything. Yeah. Now, Roy, was the was the drip edge included? I thought the drip edge was part of it. No. I don't know the roof. OK. And no lead in this, right? So it's already. Yeah, it's all right. We don't touch any lead. Great. And there's no relocation or anything either. So all the tenants can remain. Yeah. All right, I can stop my share then unless. That was Andy, though. Yeah, I didn't realize Google Street View went in there. Poor person, probably thought it was a through road and then realized they had to turn around. And then we have a length of an expected time for how long this would take if, you know, it's like. I'm hoping two to two and a half months total. And so, yeah, I mean, once you have to, we still have to, you know, staff met with Roy and Bruce just the other day to talk about this. But materials still have to be ordered and everything. So we're not, I mean, there may be delays. Until you were actually on the ground. Yes. Yeah. But once you're there, you can say two to three months. All right. Yeah, I'm looking at seeing what the duration for the project is. Yeah. Yeah, I don't know. I forget what it said in the in the specs, but. Yeah, I guess. And so part of being on site, you know, one of the requirements is for the contractor to install a sign acknowledging the block grant program. And so, and then also posting the labor standards and wages. And so that can be on. Where is the sign in the bidding documents? I never, I couldn't find it the other day. I think Ben may have just emailed it at the end of his PDF. So we didn't have it. Page two of the PDF. Yeah, I saw what he sent over. I just didn't put any money in there. What if I sent it? I didn't see it in the original bidding. It was in the adepth. Oh, yeah. What are what are the requirements for this set? Like, is there any requirements for the size and material of the sign?  No, it can be.  You know, it does have to be visible. Linda, we'll take a picture.  I mean, it's just meant to last the duration of the project. But as long as we're told when it's up and we can take a nice picture of it, that satisfies our requirement. So it is something that the, you know, the block grant program really wants to know that, you know, the sign and the labor standards and everything I've been posted on the job. OK, yeah, we can make it. We'll put the labor standards or whatever, probably in the trailer or something. Is that? Well, no, probably the labor standards, OK, but the wage rates have to be at a place where the workers can go without you seeing them. They're, that's why we like to put them on the back of the sign.  Because theoretically, they shouldn't need to, you know, be in a space where they can be observed looking at. OK, better. So, yeah, this sign is in it's on page two of that packet I sent out. If you want, I can get it to you again. If you're happy to find it, I have that. I just couldn't find it in the original thing. Gotcha. Yeah. Yeah. OK, do we want to jump into wage rates and labor standards and that conversation? Yeah. OK. So there were two wage decisions in your contract and you're responsible, the contractor record is going to be responsible, ultimately, for compliance. So diversified, you know, you're going to be responsible. And they should determine what the wage rate is by which you ever one is higher. So there's a different wage rate for carpenters. Pick the higher of the two. And, you know, with the state, there are changes. So watch those on the federal side. There are some mandatory vacation. It depends on the trade. You may not hit any of those, but trades are more likely to have unions. They do have days. So if you run into this job runs into Labor Day and you're in one of those trades, you're going to provide anybody who is on site that week who fits that category needs to get a paid day off. OK. I'd like to improve for that. If if you use any apprentices, you can only you pay the apprentice wage. If you're that part of a bona fide, you know, state or federally approved apprentice program can't call somebody an apprentice and then OK, the wage rate. We have to have the backup wages should be submitted to weekly. In past authority, housing authority projects, the housing authority has liked to, as the owner, collect the original submissions. And then we found the best process is to send a electronic copy of that to me. And then I will be on top of where we're at because when your pay ret comes to Amherst to be paid, Nader Ben is going to send me an email and ask me what the status of your payroll submissions are. And I they will hold that payment until we're either current or in pretty good shape. And so I don't if these just go straight to the housing authority. Our experience has been they don't make it to me on a very timely basis. So just CC me and electronic copies in the original. Bruce, maybe you can talk with Pam and see where she wants those to go, whether it's her office or to you or whatever. I just know I there's a I sent out the my little cheat sheet on this process earlier today. And that's got my email address on it. You just email them straight to us. You need OSHA cards. Now, I will say that sometimes so proprietors are subject to prevailing wage for any of their employees.  But if any of your employees are still subject to it and so you'd have to provide, you know, pay them prevailing wage. OSHA, yeah, OSHA cards for anybody on site. I noticed that the the form that is in your contract, you have to report on the federal rate reporting form. I think since that maybe the package was put together, there's a new version of that that's out. It's got a new because that one said expired 2018. So if you look at my little cheat sheet, there's a link to the web and that'll give you the current version that you should be using for this. So can you give me an idea what kind of trades you might expecting to have on site? It's just going to be carpentry. Carpentry. Any laborers? Carpentry. What about the roofers? That's a different category. No roofing is happening. That's a project related. Oh, that roofing there. OK, someone said roofing at the beginning. I'm sorry, I did. I did. We're going to be tackling that next. Oh, OK, came out. All right. It's just siding and maybe an electrician, right? Maybe. Maybe. OK. So the state has been telling us that they want us to do multiple interviews, you know, kind of toward the beginning of the project halfway through and toward the end. So I may have to come more than once trying to catch these folks, different people. So I guess just keeping me in the loop as far as schedule. Be really helpful. Just carpenters, it'll be a dream. But like if you do get an electrician, I really need to know that they're coming to have to have an interview. They don't like us doing them over the phone. Yeah, we like to say that from the funder end of this, that side of the state, that they can't come out and look at the project and say, that's a lovely job. They don't have an expertise. So they spend their time nitpicking the paperwork. And that includes this payroll stuff and they just get into the weeds on it. And so I have to pass that tough love on to you guys. I apologize for that in advance, but I have to be really picky because it keeps the town of Amherst and good good graces with the funder. I think we did this with you on a project with Taylor Day. That's over on. Yes, you did. Yep. Yes, you guys. I know I know we got into a flow and it went really well. But yeah.  Yep. Wonderful. OK. Yeah, Linda's great. Don't she she looks nice, but she's really tough. So that's why we use her. She's no, she's really good. And it is something that the state, I mean, they really spend a lot of time monitoring the wages. It's it's ironic in terms of, you know, what they look at. But wages are really important. So we thank Linda and you for all the help and cooperation. Because it's something that, you know, if it if there is a problem, we want to make sure we we resolve it before the project is complete. You know, we don't want the state to find it after the fact and then have to come chase everyone later. I think that's it for me. All right. And then I guess, you know, Linda mentioned apprentices, but there is no are there any new hires or apprentices on this job or any anything that's happening? No, I don't think so. Correct. All right. That makes it a little easier. And then, you know, for reporting, the we have to submit quarterly reports. So the calendar quarter, they're due. You know, say, like, you know, so the first quarter of the year, it's due in April, April 15th. We ask the housing authority to send the town something by April 10th. We have to, in turn, submit it by the 15th of the state. And so, you know, typically we base it on payrolls, but also we need images of the project. And, you know, sometimes Josh, you may ask the contractor just to, you know, clarify what's been done or what's remaining. And so, you know, this is our chance just to also say that everything is going according to plan. But if it isn't, you know, for instance, say we order material and it's back ordered, you know, we want to be up front with with our funders because we could get an extension of the grant or thing. So, you know, if there are issues, I'm assuming we'll hear from Bruce or Roy as well. But, you know, it's a it's a chance to just provide an update and be honest. I mean, I think in the past, people try to sugarcoat these quarterly reports.  And they'd say, well, wow, you know, the last few reports have been really fine. And so, you know, I think we still want to make it look nice. But, you know, if there is, you know, if there are issues or something, right, if it ends up being a really rainy summer and you just can't get on site.  You know, we can say we're going over the wage and labor standards. There's this, you know, in the pack, we have a civil rights and equal opportunity thing. So I think in the big documents, there are a number of forms that need to be signed as part of the contract state and block grant forms.  You know, you have to post the labor standards on the site and have affirmative practices, which again, seems like that's all set. Yolanda did mention OSHA cards. So that can be, those can be emailed. So any, you know, I think whoever was sent an email for the pre-construction meeting, it's good if that just becomes an email chain. If there's questions or OSHA cards or other things, it keeps everyone in the loop. I'm just going through the PDF that Ben sent out. I don't really have any other immediate comments. You know, the contractor will still have to or the housing authority, you know, we still need building permits from the town or any other permitting will go through the town. So we're not, you know, that's not, we're not waiving any of those requirements. So if there is, you know, a building permit that's needed or anything else. I haven't filled in. I haven't. I haven't submitted it, but it's all filled out. All right.  We should talk about it at some point. I'm going to have to have a context box there somewhere. So yeah, if possible, we, we meet you on site sometime for that. Yeah, absolutely. OK. I don't know. I think I think that I don't know. I think we've covered everything we might need to. So in a sense, what's the idea of when this might start?  Well, I'll get to the time, maybe September, depending on the lead time, but I still have to get approvals from the mills and find the eight times there. So that's probably going to be the biggest.  We're hoping to get it done this season. So like I said, I just once I get I'll send the seminal to Roy either today or Monday, and once I get lead times, I can give you a good answer right now and just be kind of making stuff up. Because you never know. Like sometimes, you know, they'll tell me two weeks. Sometimes it could be 20. Right. So I don't want to get anybody's hopes up or crush anybody's hopes today. I'm assuming you're going to go one building at a time. Are you or are you going to? Me and Jared talked about that a little bit, but yeah, I think, you know, we'll be finishing up one and starting the next one at a time. Don't forget the big thing right now is materials coming in. I mean, they can say they're going to be in first of September and we can say go. But what I've been doing is waiting until they're actually shipped in on the ground and at the supply store, then saying go, there's a big problem with that right now. Wouldn't you say, Josh? Yeah, I agree. Like even sometimes you get material and it's like broken or broken or it's been interesting. Right. I'd rather 100 percent of the time the ground is to roll base it off of when they say it's going to. All right. Yeah, I mean, I think that's good to know just the scheduling as we get closer, especially for Linda, since she has to have job interviews with the trades. It's, you know, if there's, you know, if someone's in, you know, if an attrition is needed, they're only there for an hour, one day. Yeah, you know, we really have to coordinate that. So, you know, if it's, you know, if you're going sequentially by building by building, you know, maybe, you know, Linda, if you can't make one time, maybe there's another time or, you know, I've done interviews too and that people don't like me as much. But, you know, there's a way we have to get it done. Yeah, I'll try to, whatever, maybe we'll see how it goes. I don't know if he's going to try to do more than one service reconnect or whatever he has to do there. Right. You know, there's an order of conditions on the agenda. Is that for real? Yeah, I was going to ask that. Or is that just left over from a previous project where there was site work? I was going to say, there's no site work associated with this, is there? And I think when we did the Watson Farms Paving, there was an order of conditions, but I don't think we needed it for the siding. It's a little bit over. Yeah, good, good. Because there could be another holdup. Yeah, no, I don't. Yeah, that's not as relevant to this, just to make sure. All right. I think we've I feel like we've covered everything. I don't know if there's any other questions or. I don't think so. You know, good, I think. Yeah, and so I guess, you know, after this, you know, as part of the the block grant requirement and maybe from DHT, you know, there'll be a notice to proceed and that becomes kind of like the official start to the contract. And so that will have time of performance and the wage decisions and, you know, have an estimated start date, which could be, you know, next week, for instance. But, you know, as soon as we get the letter out, it'll be available to start.  But from our end, you know, we have a notice to proceed. And then it's just a matter of just staying in contact when, you know, things are actually happening. And so, you know, we'd like to be involved with, you know, a job site meeting at first, maybe the first two. And if everything is going smooth, you know, Ben and I from the town don't necessarily have to be there. But just as the project starts, we'd like to be involved with that. And then, you know, see that the signs and everything else are posted. And after that, we don't, you know, we're not as involved. You know, we can just be coordinating through Roy and Bruce. And as far as meeting over there, Josh and is it Jared, is that who would be meeting to work out logistics? Let me know. I think I'm on the email chain. You have my contact info and we can pick a date when you want to go over there and take a look at it and work out the logistics. Sounds good. I'll get the submittals in and we'll get that organized. And then maybe me and Jared can find a day we can meet you over there and coordinate that. All right, Linda, do you have any more questions? Are you feeling all right? OK, great. Thank you. All right, Roy, you all set too? Yes, sir. Great. All right, well, thanks, everyone. Have a good weekend. Thank you. Thanks. Take care. Bye bye.


10 historic sites in Ghana you should visit once in your lifetime. Do you know that Ghana has an incredible variety of places and structures that would blow your mind? From everyday activities, like eating at a local chop bar to specially designed recreational experiences like camping at Safari Valley, Ghana has an incredible variety of things to see, do and discover. Ghana, located along the Atlantic Ocean and the Gulf of Guinea, is known around the world for its distinct cultures, particularly the Kente. During the transatlantic slave trade, Ghana also played an important role. Some of these historic monuments and relics have been well preserved by the Ghanaian government. There will be no historic sites in Ghana for us to visit, if this does not happen. Here are 10 historic sites in Ghana you should visit once in your lifetime. Comment on this video to let us know what you think. 10. Lake Volta This lake is the largest man-made lake in the world. The location is stunning and a must-see for anyone visiting Ghana. The lake was formed when the Akosombo Dam was built across the Volta River. It also covers 3.6% of Ghana's land area. Dodi Island can be visited while visiting the area. People can either fish in certain areas of the lake or take a trip to the dam. Exotic and luxurious hotels have been built near the lake to house tourists who want to spend quality time by the natural retreat. 9. Kwamein Krumah Memorial Park Because of the great history of Ghana's first president, this park is one of the most popular tourist destinations in the country. It is dedicated to Ghanaian president Dr. Kwamein Krumah. Don Arthur designed the mausoleum, which houses the bodies of Kwamein Krumah and his wife Fafiam Krumah. The mausoleum is shaped like an upside-down sword, which is a symbol of peace in the local culture. The design was created with great Italian marble and a black star at the apex to represent unity. It is a popular tourist destination that attracts visitors from all over the world. 8. Cape Coast Castle This facility was built by the Swedes in the 15th century to facilitate gold and timber trades. However, it was later used as a slave-holding facility before being shipped to America. In the 1920s, the British Public Works Department began restoration work on the castle. Following Ghana's independence in 1957, the Ghana Museums and Monuments Board assumed responsibility for the building. The structure is now a museum that houses slave-related artifacts and documents. The rusted cannons on the walls paint a vivid picture of the facility's fortification. This is one of Ghana's historic sites that demonstrates how much Africa has endured. 7. Larabanga Mosque This is Ghana's oldest mosque, as well as one of the oldest in West Africa, and has been dubbed the Mecca of West Africa. The Larabanga Mosque is a Sudanese architectural style mosque located in the village of Larabanga. It was built in 1421 and was originally made of mud, reed, and clay, as that was the popular building material at the time. The mosque houses an old Quran, which the locals believe was given to Yiddin Barima Brahma, the Imam at the time, as a gift from heaven in 1650 as a result of his prayers. 6. Waluu Slave Defense Wall Humans have an innate survival instinct. The Waluu Slave Defense Wall is one of the historic sites in Ghana that demonstrate how far humans will go to survive. Waluu is a small town in the Upper West Region's Cicilla West District. The Gwaloo Wall was built in the 19th century. It was built by Gwaloo Koroliman, the primary goal of defending the people from slave raiders. The majority of these walls have been destroyed by environmental factors. The only remaining wall is in the border town of Gwaloo. Other important tourist attractions in Gwaloo include a traditional bone setting clinic and a crocodile pond. There is also the tomb of former President Hila Liman, 1979 to 1981. 5. Salaga Slave Market Salaga is derived from the Dogomba word solji, which means to get used to a place. The Salaga market was a vital trading route that connected the northern and southern Sahel. Its location in the east Gondja district makes it an important agricultural trading route During the transatlantic slave trade, however, it also served as a route for transporting slaves to the coast for further exploitation. In 1892, a series of events precipitated civil war. As a result, the population in this area has been decimated. If you're coming from Kumasi, you'll need to take a ferry through Yeji to get to the Salaga slave market. Because of the difficult terrain, the Salaga slave market is one of Ghana's least visited historic sites. 4. Holy Trinity Cathedral The British government provided funding for this cathedral. The Holy Trinity Cathedral is part of the Acre Anglican Diocese. This historic structure was completed in 1894, but only became a cathedral in 1909. The rectangular bell tower is the most notable feature of this fortress-like structure. The Chimich is not only a place of worship, but it is also one of Ghana's historic sites that tourists want to see. The tranquility of the residents within the walls provides a respite from the bustling city noise. 3. Forts and castles Volta, Greater Acre, Central and Western Region This is Ghana's second UNESCO World Heritage Site. Between the 15th and 18th centuries, fortified trading posts were built. These magnificent structures stretch for about 500 kilometers, sandwiched between the coasts of Bahia in the west and Qita in the east. Traders from Denmark, Britain, Germany, Holland, Portugal, Spain and Sweden were among the fort's occupants over the century. As a result, they played a significant role in the gold and slave trades. The forts in Ghana are better preserved than those in neighboring countries. This monument was designated a World Heritage Site by UNESCO in 1979. 2. The Traditional Buildings of the Ashanti Kingdom The Ashanti Kingdom was a formidable force in the 18th century and continues to exert influence in Ghana to this day. Because of their militaristic nature, they were able to control large areas with significant gold deposits. They ruled a large portion of modern-day Ghana prior to the arrival of Europeans in 1806. The Ashanti Kingdom built 13 houses on this historic site. During the European reign, a large number of Ashanti structures were destroyed. However, the remaining structures have become cultural icons. They were designated as one of Ghana's two UNESCO World Heritage Sites in 1980. The walls of these structures are made of clay or mud and the roofs are made of woven palm branches. They have a geometrical design with stylized animal emblems on them. 1. Jamestown Lighthouse Jamestown is one of Ghana's two oldest historic sites in Acre precisely. Jamestown had communities as early as the 17th century. It had already undergone significant development by the end of the 19th century. Jamestown is still useful today as a great fishing port. The original structure was built by the British as early as 1871. However, the current structure was built in the 1930s. The lighthouse in Jamestown stands 28 meters tall. From the summit, you can see the Usher Fort, the Bukong District, and the James Fort from above. Jamestown is now a popular tourist destination and one of Ghana's most important historical sites. These are just a few of Ghana's many beautiful and captivating historic sites that you should make time to visit at least once in your life. Thank you for watching to the end. To help us grow, please like this video and subscribe to our channel.


Hi everyone, this is the team randomizer for the 17 team block That will fill the 10 box pick your team hoops premium stock Half case break number three So the 17 teams that are involved in this are the pelicans grizzlies heat wizards Celtics bucks thunder calves teawalls 76ers spurs suns magics hornets blazers Pacers and raptors So this works there's 17 spots will take all 17 customer's names Randomize them then match them with the list below whatever team you match up is is what team you get in the break coming up after this So here are the here's the customer list From Matthew Shearer down to Taylor Stokes in the spot They bought straight up plus these seven spots We just gave away in a filler of chronic fat pack So however you got in thank you guys very much and good luck Here's a list of teams from the pelicans down to the raptors Okay, so actually no we don't randomize the lists. That's right. So So what we do is we actually Copy this list into a spreadsheet and only randomized customers names. That's right I knew I had the second spreadsheet open for a reason So here's the list we'll randomize all 17 names and then copy that list and paste it in here So dice roll Three and a three six times. Good luck everybody Six in final time From Matthew Shearer down to Nick Kova. So here you go So Matthew Shearer ends up at the pelicans the spot He bought straight up Steve Birch with the grizzlies and Gary Tashima with the heat Randy Lou with the wizards Joseph Petrelia with the Celtics Taylor Stokes last spot mojo with the bucks Summon Kim with the Thunder Ryan case with the calves Alex Flutie with the T Wolves Brian Lee with the 76ers Matthew Shearer with the spurs and the Suns Randy Lou with the magic Sean Maddock with the Hornets Jason Griffin with the blazers Mike Tower with the Pacers and Nick Kova with the raptors So that is the results quick trade window if anybody it wants to Maybe they have a PC team on here But if not, we'll go ahead and close that Wrap up this team randomizer and do the break itself Look like there's any talk so trade window closed. That was the team random randomizer For also allow that Ryan. So if that happens, we'll do it on the next screen or during the break For the 10 box pick your team number three hoops premium stock Half case break coming up next I'm Sean Jaspiers case breaks calm. Thanks for hanging out. We'll see you next time


Everyone, Sam here with Leighton Sports Cards from the 23 Top Scrone Baseball Jumbo HDA, eight box full case break, number 41, pick your team style. Read off the list of our names and our teams. Andrew H. Yanks, Cheng S. Tigers, Chris G. Diamondback, Chris D. Rockies, Christopher S. Dodgers, Clayton B. Marlins, Dan S. Phillies, Dawn B. with the Astros and Rangers, Gary A. Giants, Jacob H. Reds, White Sox, James J. with the Cubs, Jason S. Orioles, Jason G. with the Padres, Jeffrey H. Redsox Cardinals, such as Jeffrey HAN with the Red Sox Cardinals, Jeffrey HAZ with the Athletics. Read off Mark, how you doing, buddy? John W. Brewcrew and Pirates. We've got Mark D. with the Mets, Mark S. Guardians. Mark, thank you. Matthew C. with the Braves, Ron R. Angels, Royals, Mariners, Ryan G. with the Twins, Sean M. Nationals, Wayne P. Rays, and Blue Jays. So good luck here, everybody. Michael T. with the Spot and the Mixer. Let's go, Michael. Thank you, buddy. We've got 11 to go on our first choice case. Number 31, 11 to go. They are all on sale. We do have a full sell-out promo tonight. $500 in break credit to five lucky winners. You can win more than once. Just like it's new. Cutting through this like butter.  I know, trust, believe me. Believe me. Not come on, Adley. Because Adley, not currently in my draft. Not come on, Adley. Come on, Gunnar Henderson, if you could do anything. I feel like I'd be sick. Okay. He walks Adley. Geez, is that Chapman with back-to-back walks now? Now you understand our pain here, Rangers fans. Pain of being a Yankees fan with the role that should happen at playoffs. Francisco Lindor, it's all based right there. Go ahead, Vaughn Grissom. There's an Alvarez rookie. What's up? It's a Prism, Marcus Strohman. Alex Kahl, Refractor. We're training a new top loader today. It's his first day out late and welcome him. Matthew Batten, Rookie Auto for the Padres. Nice one there. Slam Diego, Gerrard and Karnas, the owner, Refractor. Nah, I'm just messing with you guys. This is Matt. So this is Matt from Sorting and Shipping. He is training to be a top loader. Christopher Morale, so he'll be shadowing Dylan today. Please do not make it just whatever you just, let him have it. Let him get used to what goes on here. DJ The Mayhew, Albert Pujalser, Refractor. Sega, Groshan, is that Altman? Yeah, James Altman, Rookie. What's up, Mark? There's Sandra Bogarts and Stephen Kwan. All right, Tova Adley, the guy who just walked. Marty, Carlos, I'm already sorry, Matt. We'd like to see Carl Volpe and Carol. Beatty Rookie, Casas Rookie. Prism is Max Scherzer, and a Refractor of Kodai Senga, is MLB the show legend. Kodai Senga right there. MLB the show legend is right, man. Wait till we pull a catfish hunter. There's Kodai Senga. It's your boy. Yeah, that's true of, if you ever become a breaker, you need to be wearing a hat at all times, you need some sort of facial hair. Yeah, I don't know if I don't know about the facial hair. Corey Lita, $4.99. And spray on Dylan. Nice one there, congrats to the, congrats to the Astro Salvador Perez. You got Michael T, picking up a Saturday Night Bowman mixer. Thank you, my man. Appreciate that, brother. We got an orange coming up here. Got an orange wave. Come on, let's see something big. Come on, orange wave. Taylor Ward, 20 of 25, congrats to the Angels. Too skinny to ever be a breaker, that's probably fair to be honest, dude. Mix in a burger, Jake. I almost said Jake, Matt. Come on. It's very true, man. Oh, is that a red? Yes it is, red. James Outman, one of five. Let's go, dude. Hell yeah. Card is far out, man. That's what I like to see. Hell yeah, congrats to Audrey, who's got LA. They were taken when I was here. So that was one of the more recent ones. Christopher S, let's go, Chris. Congrats, buddy. One of five on the Outman, we'll get that magged. Alec Bohm and Joe Ryan. Riley Green rookie. We've got Green Wave, Anderson Espinosa to 199. Let's go into the Padres. And Michael Grove, last pack of box one. Prism, Dalton Varshow, Marcus Simeon. That'll do it for box one. On to box two. God, dude, this freaking knife. Sharp. Weeding all of everybody's cards here. Hey, you want a red? I can catch you a red. She definitely gets you a red. Yeah. Gunner, nice one there. Adley Rushman, and T-Story. Bogots. Prism, Manoa, and Rafi Devers refractor. Riley Green rookie. Base Auto, Kyle Stowers, let's go into the Orioles. There you go, Baltimore. Very nice, very nice. No F with a, wow, with a NT Divisions. Thank you, buddy. We're not a one to go on that. Eggy Rosario, should be like one of the first sold outbreaks, guys are nuts. Guys are insane, thank you so much. That's awesome. That's insane, man. Prism, Gabriel Moreno. And a Toglia refractor rookie for the Rookies. 19 to go, five box NT football PYT over on Fnatic's Live, everybody. Masatake Yoshida, Joey Boa. Prism, Aranda, and Ozzy Albies refractor. That's gonna be kind of insane over there, man. Five boxes of NT, dude. CJ Abrams, more dude. That guy's trash. All marked down on Fnatic's as well. It's coming in here. I was hoping. Jordan Walker, on right here. Kate Cavalli, Kyle Tucker. Well, it's just a singular bot out there just roaming around clearly. Yeah. Now just A, not intelligent, just A, sort of official. Blue Raywave, David VR, that's going to the Giants to 150. Nice one there, Nolan Jones. I don't know, man. I'm just, it's too much to think about. Adley Rushman, we got a Gold Wave of Kitel Marte, a 50, nice one there. He had himself a good wild card series. Base Scott, Jacob C, picking up the Astros in both cases. Thank you, buddy. I think we're down to under 10 to go on that now. I think we're down to nine on the next one. If I'm not mistaken, Michael Harris Rookie. All good value teams as well. Teams that hit a lot in choice because they have heavy amount of autos. Max Meyer, true blue to 150. Threats on that one there. Marlins, we got a Corey Seeger. We've got two to go here now. Joseph M is taking a no huddle spot. Thank you, Joseph. Yeah, I got no huddle football later today. That stuff's been loaded. Absolutely loaded. James Altman, Rookie. Ian Hap on the negative, that's going to the Cubs, Prism of Bregman, McMahon, Volpe, Corbin Carroll, Royce Lewis, that's a baby behind the Acunia as well as it always runs. Mr. Kossus, Rookie. Prism, Miguel Vargas for the Doyers and a VR refractor going to the Giants on the box three here. That's going to be Mr. Zack D with a spot in the mixer. Thank you, buddy. Down to four to go on that now. Again, every spot you buy gets you into the full sellout promo tonight. $500 in break credit to five lucky winners and you can win more than once. Theoretically, you get $2,500 in break credit and they can use it all with me. Prism, Max Freed, nice one there for the Braves and Joe Ryan, just kidding. The Technicolor, Ohapi's, Torkelson refractor, second year for the Tigers. Adley Rochman, Rookie, Garrett Cole, Raleigh Green, Prism of Chisholm, Prism Chisholm. Yeah, get ready for that, man. You have a lot of stuff you're really going to not be happy about. I'm sure four out, man. Oh yeah. Get ready to laugh, that's all I have to say. That's Josh, young, wild and free right there. He did. That's Espartan five twos drafting lineup. That is a member. Kodai Senga to 299, there we go, Mets. Congrats, dude. One of the top international acquisitions of the year going to Mark D. That's nasty actually. Love me some Senga, Michael Barov. He's like the ace in that rotation now that everybody's gone. Show legend. Very much the show, very much tops now legend. Michael Harris, we're fanning people with that guy.  I was like, really? JD Martinez, Prism for the Dodgers and Nolan Gorman, Refractor, going to the Codinals. Vaughn Grissom, there's an Alvarez rookie. A Prism of Chris Sale, Cal Stevenson, Refractor. Jordan Walker. Base auto, Alex Kahl going to the Nats. Yeah, of course has the inscription on most of his. The top's update coming out on Wednesday. That's going to be fun, man. Jordan Carnasiano, we down two on this now. Nine, one, two, three, four, five, six, seven, eight, nine, 10. What's up, Nick? Timmy, what's up, buddy? Two, three, four, five, six, seven, eight. I'm going to put the Cubs on sale.  Hold on, everybody. I'm going to put the Cubs on sale real quick. Not wrong, dude. Eight team spots to go. Fanatics Live, PYT of NT. Very nice. Teams are like half off basically. Because hurry up, I want to see some monsters. Be patient, Carl. Be patient. Come on, Carl. Can't rush greatness. 10 to go, everybody. 10 to go on choice. Breaking next, that's a full case. Bowman Chrome choice, 36 auto for the break. Oh, Hoppy, Rafi Devers to 350. Aaron Judge, Steven Kwan. Christopher Morel, rookie. Oh, I hope he hit a sonar on this, man. Max Meyer to 99, Green Wave. Now that you see that, we're going to hit one. Oh, yeah. Next pack, boom, blue sonar. Trying to think there's a couple of schticks in this. Oh, we got a Jersey card coming off. Oh, no, that's a Jersey auto for the red. Joey Vado. Nice, dude. 23 of 40, it's kind of random, but that's sick, man. That's pretty sweet. Wait, did he turn 40 this year? I think so, yeah. That could be it. That might be legit right there, actually. Congrats, reds. That's nasty, man. Very cool. Gorman, JP Crawford, Kodai Seng. I usually just use eBay. 130 point also helps if you're looking for like best offers that have been accepted. Because eBay obviously doesn't show you that. 130 point does. Base auto steel walker, going to the Tigers. Gotcha, Mark. Anthony with a couple of mosaic spots. Nathan J with a mixer spot, thank you, buddy. Nate Eaton. Will Tangle, oh man, that's a lot riding on that. Lot riding on that. Good lord, dude. Good lord, that's scary. Prism, Ryan Nelson, one soda. Only one there is for, I mean, for a Stroud out of 49, like there's not going to be a ton of comps yet on it, because the product's so new and there's still a lot out there. Brandon, so you might have to wait a little bit to really see what the market does for that, more than anything I would say. Senga. Prism, Jimenez, Bryce Harper. I'll usually tell you what I want for the recap. Right, I know right now. No, no, no, you're good, Brandon, you're good. Yeah, since Mosaic just came out last week, there's Brett Beatty or two weeks ago, so they're still filtering in a lot of new stuff. Base auto, Shay Langlears, going to the A's, one of the last teams taken, very nice, very nice, very nice, and Ryan Nelson. That was Ryan Beyo. Tyler Freeman, refractor rookie for the Guardians. Trishon Kossas. Gunnar Henderson. Jared Walsh and Teosca Hernandez. Drew Baca with four in our Immaculate Collegiate as well as the Panthers in both Canadian Blacks. You were the man, Drew, as already known. Thank you, Drew. Refractor, Bryce Johnson-Auto to 4.99 for the Giants. Congrats, Giants. Very nice, very nice. Right, Mountcast. So again, all teams on sale for choice. That is breaking after this. Two cases of Bowman-Chrome choice. A lot of teams are cheaper than in hobby, Paul Goldschmidt. Summon Woods Richardson. Tip of Austin Hayes, that's going to the Orioles. Congrats, Baltimore. Summon Woods Richardson and Mr. Castillo. Going to the Mariners. Ooh, that's our radiant rookies, our radiating rookies. Of Shay Langlears, nice one there. Congrats on that, going to the A's. Very nice, radiating rookies. Again, those aren't numbered, but they are cool. Nolan Gorman, Riley Greene-Prism and a Ben and Andy. On your refractor on the back, Yoshida. Riley Greene-Rookie. That is a blue wave, the non-blue blue wave to 75. Josh Bella for the Guardians. And base, that looks blue to you. No, right? That's not blue. Does that look blue to you? No. Does someone say it looks blue? No, no, it's called the blue wave. Really? Yeah. That is definitely not blue. Jordan Walker-Rookie. So far, there's Elia Hernandez, the 299. Congrats on that one there. Got Michael A with the Ravens and James with a spot in I'm at Collegiate. Nice one there, Rangers. And Jared Walsh on the refractor. There we go, 15 to go. Over on Fanatics Live. That is more than halfway sold out now, which is awesome. 10 to go. This is breaking next, everybody. On sale, breaks next. Again, every spot you do purchase today gets you into the full sell out promo. All teams, Jesus, I can't type, dude, marked down on the old Facebook, snap face, and InstaChat, as what's his name would say? Gala check. InstaChat. Bucks just traded for somebody. Really? Oh, no, just, I guess not. I guess that what this face was just, the name was shocked by the Bucks trade. I just saw Bucks trade, and that's what I thought. Let's go Patrick picking up two spots in the Bowman mixer. Hell yeah, man, that's gonna be awesome. I'm so am for this Bowman mixer. Fired up, Dylan, fired up today. Fired up. Could you imagine, dude, that would be insanity. Yeah. James F with a spot in Mosaic, no huddle. Thank you, buddy. Again, very close to being under 20 in every single break across the board tonight. Again, full sell out promo applies to everything.  Potentially, potentially, of course, Arunato. Prism, Jonathan Aranda for the Rays and Ozzy Albees. Base auto, Alex Kahl again, going to the Nets. Grads Washington, very solid as always. Matt Chapman refractor, Francisco Alvarez.  Prism, Kyle Stowers. Careful. Trying, man. It's in the water, dude. All right, let's settle down over there. Settle down over there. Anthony Rizzo. Prism, Nolan Jones, in the hotel today. I think you need, I need a shiz needs to get a cherry, bro. Shiz needs to get a cherry more than anything. There's Christopher Morrell. Logan Webb. DantheBee Swanson, Prism, Jordan Groeschans refractor rookie. Yeah, just 10 to go on the next one, everybody. All they are all on sale, all on sale. That is Yenir Diaz going to the Astros, the 199. Yenir Diaz and Corey Cedar. Volpe, Carroll and Beatty. Got Brandon picking up the Tigers in 31, we're down to nine. Nine to go all of a sudden under the double-digit threshold. That's James Outman, Freddie Freeman, 399, Magenta for the Dodgers base and a Rosarana base, Refracter I could say, Kodai Senga, Purple Mini Diamonds to 299, Michael Toglia prism and a Hermon Marquez refractor. True Purple Auto, David VR going to the Giants to 250. Giants doing very well for a very inexpensive team in this break, so congrats to San Fran and Volpe refractor for the Yankees, Josh Young. Prism of Oswaldo Cabrera. That's true, true catalyst is right Mark, true difference maker, true difference maker. True catalyst, Trailblazer I may add. Nine to go, some good squads still available. Phillies hit really well in this, Stroes hit really well, Stroes are gone, so nevermind. They still do, but they're not available. Twins hit really well, Royals have like a thousand guys in the product that feels like Cardinals are solid, Nats are good. Nats for like a low key team hit really, really well in choice as well. James Outman rookie. Maybe this Ethan Solis super fracter auto be in there. Adley Rushman, who knows? And Miguel Cabrera, Yoshida Rookie, Trish and Kossus, followed by a Gunner, two cards after. Jeremy Peña and Corbin Burns. Oh, you're true, true Daredevil man, true Daredevil. Gabriel Moreno, blue, Nick Prado to 150. There are two LBBs in frame right now, two lunchbox boys.  Jeter Downs, mad cute dude. It reminds me of elementary school a little bit more again. Yeah, I am, I am because we're adults. So yes, I am gonna hit on a lunchbox. It's like a lunchbox, man. There's Josh Young, a Jacob DeGram on the prism, and Yvonne Herrera.  It's the last person to leave. Yeah. She has a father up on the menu. That's Dennis, then you might as well just say this entire chat's a Bob Lobby. There's Adley Ruchman, Riley Greene. Face Auto of Anderson Espinosa. Ooh, adding father's day packs to all remaining NT teams. Extra box of hobby, 15 to go, everybody, von Grissom. Very nice, let's go. Three NT box, come on. Yep, I heard that. Heard that right there. Now there's a father's day pack for all spots remaining. Yep. Jay Verlander. I don't know if we're just trying to give stuff away. It sounds like it. He is succeeding. Yeah, very true. Michael Harris Rookie. Have you given him any money on? Is Jordan Groeschan's the 199? Hold on, take some sandwich paste. I put it in mine. Yeah. Just so you guys know, every team that you buy, like if the team stay and doesn't sell, it goes to Forrest in the form of a bonus. So make sure you just knock his money down as much as we can. Please. Every team that doesn't sell goes to a bonus. Yeah. What an insane job that is. I know, right, dude? Make sure nobody buys anything. I'd be refunding everybody's like, nope, nope, nope. No one's dormant. $100,000 for this team. Nope, no matter what you want. Jeter Downs the 399, nice one there. And Bobby Whitt, a refractor. But yeah, what is it? 15 to go over there? Yeah. 15 to go, Ron Farnatic's alive. Jaker's in there right now. Yeah, Jaker. Okay, please get back ASAP, because that's terrifying. There's Jordan Walker.  Bass Nolan Gorman and Francisco Alvarez. Francisco Alvarez. Bass Otto, Luis Liberato going to the Padres. And Christopher Morel refractor. All right, two to go, everybody. Again, we've got nine to go in the first case of choice here, guys. Jaker probably closed it, yeah. He probably closed the door on his finger. Talking about what he did. Two boxes left in this full case of a TC Jumbo. Stuff is lit, man. James Altman rookie. You know how I know I'm like washed up now and I'm no longer young? I have to Google slang on Urban Dictionary. Oh no, what did you Google over there? I had to Google glazing when I first saw that. And now I love using that, dude. Yeah, you do glazing.  But yeah, I had to Google that. I had to fact check that one. Brett Beatty. Like, man, I used to make that stuff up. I used to be part of the people making that up. And now I'm just, I'm old and in the way now. Oswald Praza. Shrew Blue, Connor Capella to 150. Nice one, Oakland. Congrats on that. Gary with a Saturday Night Bowman Mix. Let's go, Gary, come on. Kenzie Gore. 13 to go on NT, everybody. Over on Fan Live. Kodai Senga. What do you say? Yeah, I helped him. I helped him the other day, Joe Ryan. Not something I think I could say on here, of what I helped him with. That's a break room conversation that isn't an on camera conversation. Trish and Kossas. We were talking about that because Kyle was like, what does insert phrase here mean? I told him what it meant and he was like, I was like, man, that's how I know I'm washed. I was like, the only reason I know that is because I looked it up on Urban Dictionary. God, dude. Micah Stremski. Yeah, Verlander is slinging it, man.  Base Auto of Zika Tolvar. Nice one there for the rocks. Hashtag Rocktober. It is not Rocktober this October though. Oh man, we're dropping spots here now. Dropping money. Prism of Stephen Kwan, Hunter Green Refractor. I'm gonna fall here. 55th. I dropped way out of the money and I'm gonna go to the board. Or did I win one? I'm gonna update to that quick. Yeah, that's a Riley Green. Good. No, we don't have a true blue. We have an Edwin Diaz, negative coming up. That's what it is. Base and Tolvar O'Neill. We got Keegan picking up on Immaculate Collegiate Spot. Thank you, buddy. Again, lots of breaks filling up relatively fast and we do have a full sellout promo tonight. I'm gonna keep bugging you about it. Jazz Chisholm, 2399. Masataki Oshida, Riley Green. Jordan Walker. Base Auto of Simeon Woods Richardson. That's going to the twins. Nice one there, Josh Bell Refractor. Toglia. Prism Lindore, JJ Bladet, Refractor Rookie. And we're on to the last box of the break. Good luck here, everybody. Let's do it. JV. Nicholas with a spot in the mixer. Thank you, buddy. Yoshida Rookie. Prism of Bryce Harper. Nolan Gorman, Refractor Rookie. Gorman Rookie. Purple, Miguel Vargas. Nice one there to 250. Let's go into the Dodgers. Miguel Vargas, Marcus Strowman. Jordan Walker Rookie. Prism, Mr. Trout. Nice one there. Kyle Stevens. I don't know how to answer that. Yes. Strange, bold entrance into a stream. Andrew Benintendi. Wander Refractor. Adley Rookie. And Jeremy Pena. Prism, Mikey Stremski. And Alec Bohm. That did pretty well, I would say. I mean, it all depends on the parallel. It all depends on how it looks. There's Michael Harris. I'd assume so. I don't know what the pop count on a lot of these are. James Altman, Rookie Auto. Nice one there. Congrats, Dodgers. Nate Eaton. Yeah, these are pretty solid. Pops Chrome's always pretty good. It all depends on quality control, though. Like a lot of times the surface is what knocks it down a little bit. George Springer, 2199. Hard to, no, it is hard to keep up with baseball. I feel that. Mount Castle, Erasmuson. But you gotta have someone clean it. That's the big thing. Somebody knows what they're doing. Clean the surface and you're good to go. Weer, weer, weer, blue zone. Our baby to 150 or 125. Let's go third to last pack. We have a guy, we have a guy with Rashid in chat who's, he works in Sonar for the Navy. He was like, I use Sonar every single day and he goes, you don't sound like it. God damn it, man. Christopher Morel. Vlad Sonja, Vlad or Gero Gero. Yeah, he's been pro since like 2019. Tyler Freeman, base auto. Nice one there. Free box of NT plus a father's day pack. Per spot, Josh Young. Prism, Yelich and base of Kevin Gossman. Quick recap here, everybody. Radiating rookies is Shay Langlears. Gold of Katal Marte, Orange Taylor Ward. Base autos, Kyle Stowers, Alex Kahl, Alex Kahl, Shay Langlears, Simeon Woods Richardson, Tyler Freeman, Matthew Batten, Anderson, and Spinoza. Luis Liberato, James Outman, Steel Walker, Zeke Otovar to 499, Bryce Johnson, Corey Lee to 299, Elia Hernandez, Kodai Senga to 250, Miguel Vargas and David Br. To 199, Yannard Diaz, Anderson, Simeon Ozo to 150, David Br. Max Meyer, Nick Prado, Connor Cappell to 40, is Joey Vado and James Outman, Red to five, true red. That'll do it for the break. Thank you guys again for the fill. Up next is Bowman Chrome Choice.