So, log's quiz number two says, use the log laws, now I said to you the curve ball is number four, so I'm curious, we'll see. Use the log laws to express each as a single logarithm and then evaluate, I can't do the log base four of thirty-two, it doesn't work out evenly. I can do the log base four of two, it's a half because two is the square root of four, which is four to the one-half and I could, you know what though, they're the same base, I can combine them. This is going to be the log base four of thirty-two times two. Hey, that's the log base four of sixty-four and Mr. Dewey graciously made me memorize certain exponents. I know that's a three, one mark. What base am I in question two if there's no base, what base are we? Yeah, we call it the common base, we got lazy, that's the one we're going to use generically. So this is going to be the log of four times five divided by two, which I'm pretty sure is the log of ten. What is the log base ten of ten? What is the log base five of five? What's the log base a million of a million? What's the log base gamma of gamma? It's got to be one whatever that gamma is unless gamma is a zero, which is not allowed as a base. Oh, this is the log base three of nine. We said cube root was the same as a one-third exponent and the man to the reason that's nice is I can now move that one-third to the front. This is one-third times the log base three of nine and I know that the log base three of nine is a two and I know that that's a fraction it's really two over what one I'm not going to write that and I know that to multiply fractions that's the easiest one it's top times top bottom times bottom. I'm pretty sure the answer is two-thirds. There's about three other ways you can get to that same answer that's how I would probably do it though. Question? No, oh you're looking kind of like maybe just waking up gotcha. Number five? Wait a minute Mr. Dewey, what about number four? Yeah I'm gonna do it last. Number five says evaluate okay this is the log base four of this is the log base four of there's a six on top there's a 64 on the top there's already a three on the bottom and there's gonna be an eight on the bottom as well and that's how I handle fractions by the way. By the way I'm gonna assume this is gonna work out to a four or a 16 or a 64 because otherwise why would they give me a log base four if I get an answer of 17 I've messed up somewhere. Let's see if this was on the non-calc section I would go six and three three goes into six twice and eight goes into 64 eight times really I have a two and an eight and ah good gosh this is the log base four of sixteen two. Andrew says I'm telling you every answer works out to two Mr. No just those will show up fairly often because there's only so many exponents and powers that have asked you to memorize. Example six the log base five of root 175 over root seven. Hey we did one kind of like this someone asked me about this in the homework and I said something like this what's 175 divided by seven I think 25 how did I guess 25 my base is five I'm not guessing 15 I'm not guessing 20 I'm not guessing 30 those I'm not guessing 22 those will be dumb guesses pretty sure it's 25 so if 175 divided by seven is 25 what's root 175 divided by root seven root 25 right you went to the next step but I'll write this this is the log base five of root 25 and Amanda what is 25 I could make this an exponent one half move it to the front but you know what the order that I do things in I do whatever is the most convenient sometimes I'll do the root first sometimes I'll make well here because like the cube root of nine didn't work out evenly that'll make it an exponent move it to the front this is the log base five of five which is one now before I do number four can you all do me a favor see where it says out of six at the top make it out of five because number four is gonna be a bonus question but I didn't want to tell you that I wanted you to deal with something that you thought was for marks and didn't know how to do because that may happen on the test what are you gonna do wanted to get used to that feeling of no I can do this let's see it says this log base three of four is equal to X express log base three of two in terms of X I think what I want to do is try and somehow write this as a log base three of four what's my base here Andrew what's my base here so I'm not pulling out the base change law I would if it was like a nine or a 27 or a one-third or I try base change and I'd hope to spot something what's inside my log what's inside my log not a two I see a four in disguise I think I can write this it so as is that not still technically the log base three of two now why is that nice what can I do with that exponent and I'll get one half the log base up not base four mister dude the log base three of four why is that so nice what is the log base three of four the same as when I see a log base three of four what can I replace it with when I see a log base three of four what can I replace it with when I see a log base three of four what can I replace it with I can replace it with an X what it says is a one-half in front and an X and you know what I've just done I have written this in terms of X you know what the log base three of two is it's a half X if the log base three of four is X then log base two of three base three of two is a half X and this is your final answer now first of all just out of curiosity who got that anybody didn't think so now these are fair game if they give you an if then question now the word then doesn't appear here but it's if blah blah blah then express start with the van and what you're gonna try and do is turn it into the if using log rules and then keep track of whatever extra stuff you needed to bring in to turn it into the if and move that to the front if you can or do something with it and you should be able to get an algebraic expression we're gonna spend a whole day on if then questions but that's your first one so if you be so kind as to give yourself a score not out of six but out of five that will be delightful and do wonderful and then pass them in can you turn to the back of your book where there is a blank page please can you turn to the back of the book where there is a blank page please and for the heading you can just write practice exponential equation practice exponential equations so here's what we looked at yesterday I'm gonna do this and then I'll take questions about the homework but I have a feeling by doing a couple of more examples I might answer some of the questions in the homework don't write this first one down don't write this first one down if I give you something like this don't write this down 5 to the 3x minus 2 equals 25 to the 6 minus x this one we can solve without logs how what would we do to solve this one without logs really we wrote a quiz on it quiz one okay we would write this as I'd say that's not a 25 that's a five squared I would tie it up then I would say do I have one base equals one base I would answer yes or my base is the same I would answer yes and then I would equate the exponents write this one down law 5 to the 3x minus 2 equals 15 to the 6 take away x what type of an equation is this it's an exponential you know why because the variable is sitting in an exponent how do I solve this we added one new rule to your list of equation solving rules we said there's something else that you can do to both sides of the equation you only do it when you have the variable as an exponent what do you do to both sides of the equation take the log of both sides and I yelled at you guys last class I said don't you dare take shortcuts way too much room to make dumb mistakes I'm going to be very meticulous mr. do it could I move the exponents down right away you know what you're asking for trouble and dumb mistakes because I always have a kid that does that and they almost always do it wrong and then I can't give the marks for taking the log properly because they tried doing two steps at once and since they got the step wrong I can't give them any marks for the line and they threw a half mark now I'm going to move the exponents down to the front ah but when I move these exponents down to the front what am I absolutely positively going to remember so I always make a little note like that with a little squiggly line to remind myself that they went down there you don't have to but it helps me and it's going to be 3x minus 2 log equals and in brackets 6 minus x log 15 why is that so nice what do I do now now who has solution manuals okay in the solution manual what I've noticed the author does is he actually evaluates the log of five right now as a number as a decimal and he carries it to about eight decimal places and he carries that to about eight decimal places he gets rid of the logs which is legitimate you can solve it that way but you can't get an exact value that way you can it'll take you right to the decimal value and so I'm sure the method I'm showing you gets you an exact value if it's multiple choice and you're having to just pick from an answer on a non-calculator section this is what the answer would look like so what am I going to do now I'm going to get rid of brackets and that's going to give me 3x log 5 minus 2 log 5 equals 6 log 15 minus x log 15 double check yes yes yes yes how many x terms do I have 2 are they on the same side well let's deal with that I think the easiest a man that would be plus this to that side and at the same time I'm going to plus this to log 5 over that I'm going to get all my x terms to one side and all my non x terms to the other side and I usually try and do it in such a way where I can get rid of as many negatives as possible because negatives are going to make dumb mistakes is that right by the way look up for second Sabrina you want to know the biggest most common sloppy mistake at this point people are so paranoid about the logs they let their guard down for the math 8 the number of times I see that they plus this one over they did that first and like yes I got it right and I'll just drop that there and they forget to actually plus or minus it over and then of course everything after that unfortunately as well how many x terms do I have holly I mean what I prefer one it'll be wonderful if there's some kind of a grade 9 mathematical operation that I could put on my back pocket somehow that would somehow help me turn this from two terms into one term what I can factor an x out and I'll get 3 log 5 plus log 15 equals 6 log 15 plus 2 log 5 I'm home free except for some reason I see a lot of kids freeze here because it looks ugly what's my final step how would I get the x by itself well first of all Shannon what do I want to get rid of on this side I think this big great big bracket yes what's happening between the x and the bracket so holly move it over yeah it's ugly fine but it's still math 8 I would argue x equals 6 log 15 plus 2 log 5 all over 3 log 5 plus log 15 now we're going to go to our calculator in just a second but I just want to show you different ways that this could be written could they move the 6 up there as an exponent and the 2 up there as an exponent and the 3 up there as an exponent yeah or even could they hey what's adding 2 logs the same as what's adding 2 logs the same as they could write this all as one single log of 15 to the 6 times 5 squared whatever the heck that is they could write this what's adding to log same as multiplying they could write this as one great big log of 5 to the 3rd times 50 whatever the the heck that is. I would never bother, I figure, I like this better. And I'm pretty sure on my tests, I never do do that. And I guess since there's no provincial exam this year, I don't have to worry about you guys running across that. Let's go to our calculators. How many terms on top? Brackets. How many terms on the bottom? Two brackets. I'm deliberately gonna freeze the screen. Try this on your calculator. I said, it's amazing how many kids can get to here and can't get the right answer. And then on a five mark question, you just threw away one mark out of five and it was cause you don't have to type. Not cause you can't do the math, that's silly. No, you know what? It was cause you were too lazy to practice during class. That's silly. 2.583099382, blah, blah, blah, blah, blah. Okay? Brackets around the top, Ryan. Brackets around the bottom. And every time you type a log, you have to close off a bracket for the log. There. And I'll even put what I did on my calculator. I would consider that a B level question. It's a question. What do I mean by a B level log question? Two different exponents and they're both binomials. Both two terms. What's an A level question you ask? Well, let's try one. Put an equal sign. Show you how I would make one up. Katie, give me a number between one and 10. Five. We just did five in the previous one actually. Give me a different one. Seven to the power of four minus text. I don't know. Just making up an exponent. Give me another number between one and 20 this time. 11 to the 3x plus one. Now that's the same as we just did. Two different bases, two different exponents, binomials.   Actually, I just gained you. I just fibbed to you guys just a little bit, OK? See that three on the right-hand side? See it? What's it doing to the bracket? Multiplying, which means I can move it around. I can move it to the other side if I want to. How could I move it to the other side? Divide. If they gave me, if I was dumb enough to give you this, first thing that I would do is I would say, not do it. You're not going to get me. It's not two coefficients. Really, Mr. Dewick? Really, Mr. Dewick, the question you're having is, what is six divided by three? And I'm allowed to divide because there's no exponent on the six. I'm not breaking my bed math rules. Really, the question I would give you is this, 2 bracket 7 4 minus 2x equals 11 3x plus 1. If you ever have Cassandra two coefficients, you don't move one of them over to the other side. Just deal with one coefficient. But this, I would consider an A-level question. I am going to put one of these on your written section. Two different bases, two binomial exponents, and a coefficient. What kind of an equation is this, Carson? Exponential. How do you know without having to think too hard anymore? Variables and exponent. Now, if you can't remember the name of it, that's fine. But make sure you clue in, variables and exponent. My strategy is not going to be make it equal to zero. My strategy is not going to be trying factor. My strategy, first thing I'm going to try and do is do what? What's the first step? Really, if you're not sure, if you look at the previous example, what's the first thing we'll do on the first line? Log both sides. Do you remember what I said was the most devastating, the most common mistake here on the left-hand side? People move the exponent to the front now. And if you move the exponent to the front now, what you're really saying is that exponent isn't just on the seven, it's also on the two. We can't move it to the front now. What did we have to do? We had to take this log, which has two terms in it, and break it up. What's happening between the two and the bracket? By the way, I should probably technically write this like that so that you know all of those are inside the log, otherwise you might think it was log two times seven to the blah, blah, where the seven wasn't inside the log. I should probably do that just to avoid making a sloppy mistake later on. What did you say is happening between the two and the bracket? So if I break this up, what will it be? I can't tell whether you guys are quiet and don't like volunteering answers or are just completely lost. If you're completely lost, that's okay. If you don't like volunteering answers, get over it, please. What would I do here, Steph? I'll start calling names now. What did you say? It's multiplying, what's multiplying inside a log? The same as where, outside the log. So I'm gonna go like this. Log two plus log seven to the four minus two x equals log of 11 to the three x plus one. Now, Kirsten, I can move the exponents to the front. Now I can move the exponents to the, oh brackets, brackets, brackets, brackets, brackets. Now what? I would argue that now we've turned it into the previous question, a little uglier version, but I would go find the line with brackets on the previous question and I'd say to myself, self, what did we do? Oh, and again, I said to those of you that have the solution manuals, in the solution manuals, the author makes this a decimal, makes this a decimal and multiplies the decimal into the brackets, which is perfectly fine and legal if I ask you to solve it without an exact value. I would just carry about eight decimals to make sure I don't get a rounding off, Eric, as logs are yeah. But I would argue this is actually in some ways easier. I'll get this, the log two is gonna drop down like a domino. I'll get a four log seven. I'll get a minus two x log seven equals, I'll get a three x log 11 and I'll get a one log 11. Am I gonna write the one in front of the log? No. Holy now what? Look at the x's to the same side and get the other stuff to the other side. I think the easiest is gonna be move this guy to there by plusing it and move this guy to there, how? By minusing it. Again, it's amazing how many kids make sloppy mistakes on this line because they're so relieved that they've done the nasty stuff. Now it's like math, they move and they've let their guard down.  In a nice loving future kind of a way. I'll get this, log two plus four log seven minus log 11 equals three x log 11 plus two log seven. Oh wait, Mr. Dewick, two x. That would have been sloppy, it would have been devastating, it would have been bad. Now what? Okay, it would be wonderful if there's something I've written on my memory and I can pull it in my back. By the way, I use these phrases to try and help jog your memory and give you a easier way to remember just like how to find an inverse with checks and y around, who's in physics. I don't know the normal force. Oh, but you know the punch line but I'm really trying to teach you to give you a little memory trick, right? I have, oh, alarm bell. Hey, that was a fun one last unit too, wasn't it? Yeah, it worked. Cosme trauma says Carson, well, it still worked. So I'm gonna factor out an x and I'll have three log 11 plus two log seven. Final step to get the x by itself is what? Divide. X is gonna be log two plus four log seven minus log 11 on top all divided by three log 11 plus two log seven on the bottom. Did I miss anything? I'm gonna double check to make sure I haven't made a typo. Nope, okay. Evaluate it. That's the exact value. Give me the answer to, oh heck, three decimal places. Unless by an amazing fluke this works out evenly but I'd be stunned if it did. I don't know, I'm just letting people try. Point five four eight, is that what you said? Anybody else point five four eight, point five four eight? Yeah. Steph got it? Oh, Steph, how could you cheat? You guys remember, I also taught you last day how you don't hand this test in early. You go back to these two questions and you graph left side, graph right side and find where they cross. Graph left side, graph right side and find where they cross. And if you get the same decimal, you smile and you say, excellent, I just know I'm getting 100% on one section of the test. That's a nice feeling. There's gonna be one, maybe two of these on your test. They're worth four to five marks a piece. So if there's two of these, that's 10 marks out of 50. That's 20% on your test. Yes, that's a nice feeling, okay. Any questions there at all? Now there may have been questions about the homework. I'm gonna deliberately say, I'm hoping I answered some of them right now. I will take questions when I see you in a week but we need to finish off the lesson from last day. So if you can be so kind as to go back to your workbooks and turn to page, turn to page, 126, page 136. By the way, if you're trying the graphing thing, try it later, but it works, trust me. Page 136. Oh, you might want to make, the page that we just did, that might be one, you want a dog ear, hey, that's part of your study notes, Mr. Duick has just told you two questions. You'll have those same two questions on your test with different numbers and different coefficients in front of the X's, but it'll look really similar to that, okay. Page 136. Carson, if we call an equation where the X is an exponent, an exponential equation, what do you think we call an equation where the X is inside a logarithm? A logarithmic equation. So part two, solving logarithmic equations, okay, right? There are many techniques for solving logarithmic equations. I want you to look at example two. There are two main types of logarithmic equations. Now what makes an equation a logarithmic equation? Where is the X sitting? Inside a law, okay. There are two main types, where there's logs in everything or where you have logs on one side and no logs on the other side. We're gonna start out with the same approach and then come to a fork in the road and use two different solutions at the end, okay. Can you see the difference though? Logs at everything, no logs on the right, right? The approach is the same for both of them at the beginning. I want to rewrite this as one thing equals one thing. Here I have two terms. I want to write this as one term equals one term. Oh, are my bases the same? What's subtracting two logs the same as? I can rewrite this as, have I written that as one thing equals, one term equals one term? Good, gonna do the same thing over here on the right. Oh, are my bases the same? I'm adding, what's adding two logs the same as? This can be written as, the log base five, I'll use a square bracket and then curly bracket x plus one, curly bracket x minus three equals one. Do I also have one term equals one term? But can you see the difference? On the left hand side, I have one log equals one log. On the right hand side, I have one log equals a number. Let's look at the left hand side. I have one log equals one log, the logs cancel. Well, okay, I should be careful. Technically what we're doing is we're taking the anti-log of both sides and recognizing that the quantity of the first log has to be the same as the quantity that the log canceled. If you have one log equals one log, same base, you can say my real equation is x over 15 equals 0.2. Now, I'm doing bad math right there because a math professor, when I say the logs cancel, would freak on me because it's like I'm dividing both sides by log when I say they cancel. No, what I'm really saying, Andrew, is look, if you have the log of something equals the log of something, the two somethings have to be the same. We're taking the anti-log on both sides if you really want to think about it. But I'm going to say the logs cancel because that's easier for you to remember. Oh, how would I solve this? What's the 15 doing to the x dividing? So how will I move it over? x is 0.2 times 15. x is three, three. Look at the right. Can I cancel the logs? Do I have a log on the right-hand side? Do I have a log on the right-hand side? Can I cancel the logs here? No. Now what? So here's the second strategy. This is the two types of equations. If you have one log equals one log, the logs cancel though, you're not taking the analog both sides, fine. I'm going to write this as an exponent. What to the power of what equals what? Use your log definition because if you know one, you know the other, write that as an exponent. What number to the power of what number equals what? I'll give you a hint.  Five, oh, let's use blue, Mr. Dew, it can be consistent. Five to the power of, now I got to be honest, if you don't know the log definition, you're flunking the test. If you need to go back and really review your notes. The log definition said this, look up, if A to the B equals C, I automatically know that the log base B, sorry, base B, Mr. Dewick, you don't know the log, base A, nice try, of C equals B. That to that equals what's inside the log. Five to the power of one equals what's inside the log. Now, why is that so nice? What's happened to my logs now? Gone. In fact, what kind of an equation is this gonna be? It's gonna be a quadratic. You know how I know?  I can do that much in my head. Let's do that. What's five to the one? Come on, people. What's five to the one? Five equals, and I get X squared minus two X minus three, I think if I foil that out, what kind of an equation is this? It's quadratic. How do I know? It's got a squared. How do I solve a quadratic? What's the first thing I had to do before I did anything else? Make it equal to zero, all minus five from both sides. Now what? Factor, or quadratic formula, but I'm gonna try and factor. Are there numbers that make it equal to zero? Are there numbers that multiply to negative eight and add to negative two? Are there numbers that multiply to negative eight and add to negative two? Yeah. So this factors into X minus four, X plus two equals zero. What are my roots? Positive four and? Now actually, for both of these questions, we're not quite done. There is one more thing you need to do. You need to check for what are called extraneous roots. You see, there are some numbers I can't take the log of. What can't I take the log of? Negatives or zeros? So double check. If I put this three right there, will that give me a negative inside the log? So I'm okay with that. I'm gonna put a little check mark saying that I checked it off. Let's check this one here.  That works okay. What's four minus three? That works okay. If I put a negative two right there, what's negative two plus one? Can I take the log of a negative number? This one here, we reject. Much like when Ryan asks someone on a date, reject. It's always a basketball player. Ryan, sorry, always a basketball player every year. And this is how you're gonna remember it. You're gonna hear me say Ryan's date for the rest of the year and you'll know rejection. You can say much like when someone comes at you for a layup, you reject. You can use that one if you want, whatever works for you, but I gotta get something. This is an extraneous root. It pops out of our modified equation, but it does not work in the original equation.  It means you just gotta quickly go back and check. Plug what you've got into the log expression and if you get a negative inside the log or a zero, no, no. He's part of a proud tradition. It's been basketball players for about 10 years. Come on, bear with me. Example three, it says solve and verify. Well, I'm just gonna check for extraneous.  Okay, log X squared minus log X cubed equals 10. First thing I wanna do is write this as one term equals one term. What's minusing the same as? So this is really the log of X squared over X cubed equals 10. Do I have log equals one log? Do the logs cancel? Nope, oh, I'll have to write this as an exponent then. What's my base here? What to the power of what equals what? This to that equals what's inside the log. 10 to the 10th equals, by the way, what is X squared over X cubed? How many X's on top? Two, how many X's on the bottom? Three, how many X's left and where? One on the bottom. Now it's amazing how often kids freeze up now that there's an X in the denominator. And I'm gonna tell you right now on your test there's gonna be one question where you get an X in the bottom. Math eight, yeah, it's math eight. How can I solve this, boys and girls? Andrew, this is cross multiply because I have one fraction equals one fraction. Do I really need to put the over one? Come on, I don't wanna wash my hands just by writing that out. See the over one there. Anytime there's a number, recognize there is a fraction over one. This is one fraction equals one fraction. I can cross multiply. I'll get 10 to the 10th times X equals one. How would I get the X by itself? How would I get the X by itself? Divide by 10 to the 10th. And I could write out the one with 10 zero, but 10 to the 10th is big. I'll just, X is one over 10 to the 10th, which is probably scientific notation. One divided by 10 to the 10th power. Yeah, it gives me an answer. One times 10 to the negative 10, which is really what it is. One times 10 to the negative 10. Actually, I don't like this question because the numbers are so big. I would have preferred a base of two there and a base of two there, and maybe a four there or something like that, something smaller, but whatever. Two types of logarithmic equations. Logs in everything. Write it as one log equals one log, logs cancel. Logs in some stuff, not logs in some stuff. Get your logs to one side, get your non-logs to the other side, and write it as one term equals one term. Write it as an exponent. Turn the page. By the way, I'm skipping the example four. What's your hint that example four might not work out evenly? Two decimal places, okay? I said our strategy is, first of all, is there logs in everything here? Does every single term have a log in it? Nope, I got that three. Let's get the logs on one side and the non-logs on the other side. The first thing I would do is plus the three over. This is gonna be two log base three of x minus log base three of x plus three equals three. Now I want to write this as one term equals one term. Oh, wait a minute. These bases are the same, but I can't combine these logs yet because of this coefficient. But what can I do with that two to get it out of the way temporarily? Move it up as an exponent, right? I'll get log base three of x squared minus log base three of x plus three equals three. I bet you I'm gonna get a quadratic here because I'm seeing a squared popping out of here in the long run. I don't know, maybe it'll cancel, but we'll see. Now let's write this as one log equals, or one thing, one term equals one term. Shannon, I almost gave the pulse of punch line. What's subtracting two logs the same as with authority like you know what you're dividing? I can write this as the log base three of, there's gonna be an x squared on top, there's gonna be an x minus three on the bottom, and a three over here. Do I have one log equals one log, no? X plus three, thank you, sorry. So how do I get rid of the logs here? I write this as an exponent. What number to the power of what number equals what? This to the power of that equals what's inside the log. Three to the third equals x squared over x plus three. By the way, what is three to the third? Don't say nine, what is three to the third? 27. Now what? Is this not one fraction equals one fraction? Cross multiply. I'm gonna write this as 27 times x plus three equals x squared times one. What kind of an equation is this quadratic? How do I know it's got a squared? What am I gonna do? I think get rid of brackets, make it equal to zero, and then I'm gonna try factoring, but since it's said to two decimal places, I'll bet you it's gonna be quadratic formula. I bet you. Maybe not, maybe they're just trying to throw me off. 27x plus 81 equals x squared, x squared minus 27x minus 81 equals zero. Are there numbers that multiply to 81 and add to negative 27? Multiply negative 81 and add to negative 27. I'm getting nothing. Nine and nine, no. Three and 27, no. 181, no, I think that's it. So how can I solve that? How can I find those roots? Quadratic equation. x equals negative b plus or minus the square root of b squared minus four ac l over two a. Remember that, bad boy? Now, pause. Everyone get your graphing calculators out because there is a chance that your graphing calculator has a built in quadratic solver. So get your graphing calculator out. And what you want to do right now is press the apps button, which is right below the x button. It's blue on the TI-83s. I think it's gray or brown or beige on the, press your apps button right now. And you wanna see if you have an app called Pauli Smolt P-O-L-Y-S-M-L-T. Or you might have Pauli Smolt two. Who has that? Can you all check? Because many of the school ones will have it too. Press the apps button, Sabrina. And do you have something called P-O-L-Y-S? What do you have? Yeah, is that your calculator or my calculator? Oh, okay, that's why. Those of you that don't have it, in the next few days when I say get to work, bring me your calculator and I'll install it. I'm okay with you using technology. Those of you that do have it, run it. Press the number next to it or whatever. Okay? And then what does it say on your screen? I think it says press any key. So press any key. Yes? And then I think you have several options. And the first one is polynomial root finder. Option number what? Let's press a one. And then, now if you're using Pauli Smolt version one, it says degree question mark. What's the degree of a quadratic? Two. And if you're using Pauli Smolt version two, I think it has the numbers from zero to nine and you can just use your arrow keys to pick the degree and there's a bunch of other stuff on the screen. Regardless, highlight the two. Yes? And then I think along the bottom, is there commands along the very bottom row of your screen now? I'm going from, by the way, I can't install it on here. So I'm having to go from memory. No? Sorry? Okay, hit two and hit enter equals. Do that. Does that take you to a new screen? Okay. That's the quadratic formula. See, look what they wrote up there. Except instead of using A, B, and C, I think they're using A2, A1, and A0. But it's still A, B, and C. Okay? So, what's A? One. Enter. What's? Look at the, they gave you a template there. You don't have to ask me. They gave you a quadratic template there. Yes? Yes? Top of your screen right there. They actually wrote it out for you to say, here's where the numbers go. So, what is it on your program? I don't remember. Is it A2 or A0? A2. What's A1? Negative 27. What's A? Negative 81. And then how would I solve? I think solve is the bottom right and it lines up with your graph button, doesn't it? That's the navigation keys that they're using. There's your roots. Who does not have the quadratic solver? Okay. You guys, for now, see this line right here? See this line right here? Graph left side. Graph right side. And you know what I'm looking for? Where those two graphs do what? Cross. I'll go zoom standard just to make sure I'm in a good window. Got a bit of a problem. It crosses there. I think it probably crosses way up here, too. But let's try it. Second function, calculate intersection. First curve, second curve. I'll move a guess close to here. Enter. Is one of the roots on the polysmoat, negative 2.724? Yes? Two decimal places. And I'm gonna go, so are y'all with me on the intersection method? Right? Those of you that don't have a polysmoat right now? Second function, calculate. Intersection. First curve enter, second curve enter. Now I want to see if there's a root over here off my screen, way up in the air. You know what? For my guess, I'm gonna type in positive nine because that's right there. And I'm hoping it'll sneak this way and find it. See how clever we can be? Let's see. Oh! It only found that one, is there only one root? There is a second root, what's the second root? Sorry? 29.7, so right now I haven't found it yet. I'm gonna have to go window and I'm gonna have to make my x max maybe 50 to see if this fits on my screen. Let's see. And I might need to make my y max 100 to see if I can get, well cross is there, crossing up there somewhere, I'm pretty sure. I might have to make my y max 300, I don't know. Crossing up there somewhere. I'm gonna see if it'll find it now. First curve enter, second curve enter. Guess, I'm gonna go, well I think I typed 50 as my x max, I'm gonna guess 49. I'm gonna have it start right here and see, oh there it found the 29.7. You can get there. But I'll be honest, I find the poly smelt easier. 29.72, why doesn't Ryan get a date? Look, look, look, look, look. If I put a negative right there, what's, oh that's gonna give me a negative log right there.  One more and we're done. By the way, I took a long time on this lesson because I really wanted to make sure you grasped it. You're gonna have homework over the four day week but I don't see it for a whole week. You can spread it out and not have homework on your weekend. I just, last one. Okay, oh, is this a logarithmic equation? Yeah, you know how I know because the x is inside the log. So I'm gonna try and write this as one term equals one term. Are my bases the same? What's subtracting the same as? I can write this as the log base four of x plus one over two x minus three equals the log base four of eight. Do I have one term equals one term? Check. Oh, do I have one log equals one log? Then the logs cancel. No, I'm taking the analog of both, when they cancel. I can go, my equation is really going to be x plus one over two x minus, Mr. Deweyck, minus three equals eight. And again, it's amazing how many kids get here and they freeze. This is math eight. Is this not one fraction equals one fraction?  It's not eight, it's over one. Cross multiply. You're gonna get x plus one times one which is just plain old x plus one. And you're gonna get eight times two x minus three.   When you minus x from both sides and plus 24 to both sides, you're gonna get x equals 25 over 15, which is really in lowest terms, five over three. Oh, but we need to check for extraneous. I need to make sure that if I plug it into here and here, I don't get a negative answer. Five over three plus one, positive. Two times five over three minus three. Oh, positive. It works. What if it didn't work? What if I had no answers that worked? No solution. That's what I would write. No solve, no solution. So there's log equations. I already assigned number one and number two and number, oh, I think three, four. Yeah, G and H are nasty, but if you get those, you'll find the test easy, so I'll leave those. I skipped five, yeah I am. Ooh, those are yucky. I already assigned six, yes. Seven and eight.


Now, the Roma Wine Company of Fresno, California presents... Suspense!  A suspense play produced, edited and directed for Roma Wines by William Spear. Suspense, Radio's Outstanding Theatre of Thrills is presented for your enjoyment by Roma Wines. That's R-O-M-A, Roma Wines. Those excellent California wines that can add so much pleasantness to the way you live. To your happiness and entertaining guests. To your enjoyment of everyday meals. Yes, right now a glass full would be very pleasant, as Roma Wines bring you Mr. Lloyd Nolan, in a remarkable tale of... Suspense! Ah, what a business, what a business.  Well, if I tell you how it really happened, you'll say I'm nuts. But if I don't talk, then for sure I'll go nuts. Listen. Did you ever have a dame get under your skin till you were ready to hang yourself with your own belt just to be rid of a... Yeah. She did that to me. That blonde. That beautiful blonde. And the funny thing is, we never even met. Ties is my business wholesale. I came to Chicago with a red hot line and an exclusive to the Middle West all sewed up.  You think that's easy, yeah? You should see Chicago these days. Well, some hair-maker on the train tipped me off to a theatrical room and house at 19 Deacon Street. I only wished he'd broken his neck before he saw me. Anyhow, I go to this place and from the outside it looks all right. I wait a minute or two and finally an old dame comes out looking like a tired old duchess. Good afternoon. Uh, yeah. I'm looking... No vacancy. Oh? Well, an actor on the train said that maybe it put me up. Are you an actor? Uh, yeah, sort of. Well, I do hate to turn you away if you're in the theater. There was a time when we catered exclusively to theatrical people. Oh, any kind of a room would be okay. Well, come in, young man. We'll see what we can do. We have a room that we don't rent. It's not really fixed up for renting, but I... Now look, lady, I'm not particular. I'm away all day. All I want is places to sleep, see? Come upstairs. I just know I shouldn't have promised myself. Now, young man, I'm going to show this to you on one condition. What's that? This room belongs to someone very dear to me. She's away. I've never rented it because... Well, I expect her back. Oh, yeah? I want you to promise that no matter what, you'll not move anything or ask any questions about her. That's a funny thing to ask. Some people wouldn't understand. Promise? Okay, it's a deal. I'll turn on the light. Well, do you like it? Well, I don't know. It's kind of feminine, isn't it? Yes. Yellow fluffy curtains and costume dolls, cold cream, grease paint, dressing gown. Mmm, nice perfume. And hey, lady, stockings. Ain't this a little unusual? We haven't changed it at all. You don't realize this young man, but you're standing in a shrine. Am I? Oh, what? We haven't touched her room because someday she'll be back and she'll find everything just as she left it. Hmm. Is this her picture on the mantle here? Yes. Isn't she beautiful? Well, you can say that again. I never even saw such a beautiful dame. And notice the long golden hair. Oh, if you could really see it, long and shimmering like thin strands of purist gold. And she'll be back. Well, when do you expect her? I don't know. What didn't she say? No, she didn't say a word. One day she was here and the next day she was gone without a word. How long ago? In a few days it'll be ten years. Well, I took the room. If I knew then what trouble it would bring me, I'd have slept in the park instead. When the landlady left, I went over to the mantle and I looked at the blond's picture. Yeah, she was really one beautiful dame. And there was something else about her. Some little thing I couldn't pin down. Well, I took the French doll off the pillow and flopped down. But from where I lay I could look right at the picture. I looked and I felt the back of my neck crawl. Finally I couldn't stand it any longer. I jumped up and I turned the picture to the wall.  And there she was. Crying. Just her face. Soft gray eyes. And her golden hair. Strand's a pure girl like the old dame said. Yeah. What was she crying about? What was wrong? I didn't get it. Laverne! Laverne! What's the matter, Laverne? Mr. Swartz? What are you crying? Mr. Swartz, are you all right? Oh, yeah. Just a minute. I'm all right. It's just a bad dream, I guess. But I heard you calling out. You were calling Laverne. That's who you were calling, wasn't it? I don't know. Laverne. Yeah, I guess I was. How did you know, Mr. Swartz? How did you know her name was Laverne? Well, I don't know. I don't know how I knew. I knew her name. I knew the name of the blonde. But I never met her. I pestered the landlady for details, but the old dame wouldn't talk. So I locked the door. I went to work to find out for myself. I emptied all the dresser drawers out on the bed. Plenty of nice clothes, plenty of shoes and dresses and intimate things, you know, but not one scrap of paper to tell you anything about the girl herself. Not a letter, not a card, not an envelope, nothing. Then I got my first break. In a little jacket, I found a key. It had a tag on it, and the figure nine was written on the tag. There was nothing locked in the room, nor nothing the key should fit. But maybe some place I'd find the lock it was made for. And later, high on the closet door, I found a telephone number scrawled with eyebrow pencil. Briar gate one, two, seven, three. I went downstairs to the whole phone. No one was around. I felt like a jerk dialing a number that had been written more than ten years ago, but I put the nickel in and started dialing B-R-I one, two, seven, three. A busy signal. That meant the number was still alive. And maybe, just maybe, somebody on the other end could tell me about Laverne. And now or later, I was still dialing that number and still getting a busy signal. So I finally give up and went to my room. What business was at a mine of some stale babe wanted to disappear? I had my own headaches. I had neckties to get rid of. Laverne was... she was still in that room. I felt it in my bones. And I couldn't sleep. In the morning, I started out to look for a place to set up shop. I was plenty groggy, but I told myself that if I didn't sell those neckties, I'd find myself back in the bargain basement in the apartment store, which was a sobering thought. So I started walking down to Madison Street. It's a warm day, and I'm walking fast, and suddenly I look up and I'm on State Street. I know that town pretty well. I don't have to go anywhere near State Street to get to Madison, but here I am.   Suddenly I get the brainwave that this is the kind of a joint I need for my business. Looked like it hadn't been used for 50 years, so the rent couldn't be too high, and it's big and central. So I just ankle around to the alley, try the back door. I figure there must be a caretaker or somebody around so I give a yell. Hey! Anybody in there? No dice. This is kind of funny because I can see a light shining through the crack in the boards. So I start pounding on the door. Hey, open up! Open up! What do you think you're doing? Oh, hello, officer. I just thought that there'd be a janitor around. Does it look like there'd be anybody around with the doors all padlocked like this? Yeah, but look, there's a light burning inside. It's just a work light on the stage. It burns all the time. What do you want, mister? I want to rent the joint. Where can I find the owner? I can touch with Jasper Florens. Well, the big stage producer. That's right. He used to run this little burlacue house before he was in the chips. Got his start here. You can probably get him on the phone at his office. Florens Productions Oh, hello. I'd like to speak to Mr. Florens, please. Oh, who's calling, please? My name's, uh, Swartz. What did you wish to talk to Mr. Florens about, please? He's very busy. Yeah, yeah. Now look, I ain't no ham actor looking for a job. Tell him I want to rent some space from him. Yeah. The old Florens theater on State Street. Oh. Well... Hello. I-I'm sorry, but the Florens Theater is not for rent. Not for rent. But why? Well, okay, okay. Have it your way.  Well, I wanted back to the house a little later and... Soon as I got what inside of it, I got that queer feeling again. It was just like that blonde was standing there waiting for me. Well, I walked in and went to my room. I got out a detective mystery and tried to pass the time away, but... it didn't work. I couldn't think of a thing except a burn. Then I lay back on the bed and I must have been dead tired. And I couldn't think of a thing except being dead tired. Because in nothing flat I was out. And there she was again. That beautiful girl sobbing. This time I was sure she was trying to say something to me, trying to get a message of some kind to me, but... I-I just couldn't understand. What was she trying to say? What was she asking me to... to find her? For Suspense, Roma Wines are bringing you as star Mr. Lloyd Nolan in 19 Deacon Street by Larry Marcus and Robert Light. Roma Wines' presentation tonight in radio's outstanding theater of thrills, Suspense. Between the acts of Suspense, this is Truman Bradley for Roma Wines. This year, Thanksgiving is more than our traditional Pilgrims' Harvest Festival. More than thanks for the good harvest reaped from the soil of our great land. It's an humble Thanksgiving that the world is at peace. Thanks for God-granted overseas victories. Thanks for cherished freedom at home. Thanks for loved ones with us again. Today, in many American homes, wine, Roma Wine is a symbolic of this day of thanks as the traditional turkey. As millions of Americans feast in hamlets, villages, towns and cities, the classfuls of Roma Wine are lifted in heartfelt thankfulness. How fitting, too, with Roma California Burgundy, a wine grown in the soil of America reflecting the goodness of nature and the patient toil of free men. Roma Burgundy, a red, robust wine, truly delicious, delightful, distinguished in any company with any food. Serve cool. Remember, because of uniformly fine quality at low cost, more Americans enjoy Roma than any other wine. R-O-M-A Roma Wines. And now, Roma Wines bring back to our Hollywood soundstage, Lloyd Nolan, as Morrie Swartz, Ty Salesman and Raconteur in 19 Deacon Street, a play well calculated to keep you in suspense. After that, I was afraid to sleep. So I grabbed my hat and ran out of the house. I stopped at a joint down the street and ordered some coffee. And while I was sitting there, I all of a sudden remember what my uncle, my mother's brother, used to say. He said, if you want to forget something that's bothering you, just concentrate on something else, anything else. Well, but what could I concentrate on, then I thought. And then I thought of the theater, the Florence Theater. Other guys had tried to run it for years and failed, but I needed it. And if I use my brain for that one thing, if I did nothing but plan ways of breaking Florence down, I might be able to level myself out and at the same time swing the deal. Later that morning, I got in touch with an agent I know and he gave me Florence's address. I took a care bot there. It was on Lake Shore Drive and very Huy-Polloy. Florence was sitting in his study. He looked just like his pictures. It's all gray-looking with a nice sort of smile. But his necktie was lousy. Well, we had quite an argument. Did I understand that you're interested in the Florence Theater? Yeah, that's right. I tried to see you at your office, but I couldn't get past your secretary. That's why I thought I'd take a chance and see you in here. I see.  Well, you see, it means a lot to me, Mr. Florence. I understand it's been closed for years, but it's just what I need. I believe the secretary told you I didn't want to rent the theater, didn't she? Well, sure he did, but Mr. Florence, did you ever have a hunch? A hunch? Yes, of course. Well, do you generally play your hunches? Well, sometimes. Well, I got a hunch about your theater. I see. Well, I'd like very much to help you, but I'm afraid it's out of the question. But why? Well, it's where I produced my first shows. It has memories for me. Some pleasant, some not so pleasant. Reopening that theater would be like reopening a part of my past that I'd rather keep closed. Oh, but ain't that kind of silly, Mr. Florence? I wouldn't put on shows there. All I wanted... I admire your persistence, Mr. Swartz, but the answer will always be no. Okay. You win for now. But I ain't giving up. Because when I want something real bad, I get it. And I want you at the theater bed for personal reasons. Now, here's my card. I've written my phone number on it in case you change your mind. And you'll change your mind, Mr. Florence. You think so? Yeah, I think so. As you say, I'm persistent. Hello? Oh, Mr. Bogart, yes. This isn't Mr. Bogart. I was just kidding. This is Swartz again. Oh, Hugh. You're sure you don't want to run that theater? Still very sure, Mr. Swartz. Look, Swartz, I want you to stop hounding me. It's not doing anybody any good to stand and empty. That's for me to decide. I want you to leave me alone. Do you hear? I want you to leave me alone. And that's how it went. And it worked at first. For a while, I forgot about Laverne. And I got Florence plenty nervous. But every time I went back to 19 Deacon Street, I wondered who was more nervous than me. And all the time I'm dogging Florence, I'm still sneaking in calls to that phone number I found in the closet, Briagate 1273. And I'm still getting busy signals. And then one night as I'm listening to the busy signal, I get mad. A operator. Operator. This is the operator, sir. So what's been going on around here for three days and nights? I've been dialing this number and all I got is the busy signal. I'll connect you with my supervisor. What goods that gonna do? Now look, is there any way of finding out who this number belongs to? Surely, sir. Unless it's an unlisted number, you can get that information by dialing 2080. You mean I can find out who's at the other end of this phone by dialing that number? Well, there's nothing like that back home. Yes, sir. Chicago has that service. And I spend three days listening to a busy signal. Say, lady, where can I dial for brains? So I dialed 2080. And that's how I found the place. It's a little run-down spaghetti joint named Joe's. Over in the corner, I see the telephone that's been giving me the busy signal. And no wonder. It's a public phone booth. Right now, one guy is in it and two others are waiting for it. I go over and climb on a stool. What can I get you? You, Joe? Yeah, what can I get you? How long have you been in this place, Joe? 14 or 15 years. Why? Well, you've seen a lot of people come and go, huh? Your shoes are plenty. What can I get for you? Look, you got a good memory for faces. Look, you see, I'm a busy mister. I got no time for games. You want the something or you don't want the something? Yeah, Joe, take a look at this picture. Shoes. Yeah. So what? You recognize her? Yeah, she's been in here a long, long time ago. What's her name, Joe? I can't remember her name. She was a short girl, I think, as Claire or something. Wasn't it Laverne, Joe? Yeah, that's all right. Yeah? Laverne Claire. She's always come in here with the big shot. With the big shot? Well, he wasn't so big a shot then, but he was going to places, and then she'd yield to him and run off with some other guy. I remember very good, because he used to come in here after that and sit here alone all the time. He'd break him up pretty bad. Hey, and who was this big shot? You remember that, Joe? Oh, sure, sure. The big producer, Jasper Florence. And now what can I get you, huh? Jasper Florence, the poor guy. Here, I've been hounding him for that theater, and he's holding up because it'll break his heart to let it go. He won't rent because it's a chunk of his life, a bad chunk. And it's in that theater. Well, that's what a damn can do to you.  But anyway, I begin to feel better. Now, first thing tomorrow, I go out, find another place to do business, and I'd start selling ties. But when I get home, I was in for another surprise. On my door, there was a note from the landlady, Jasper Florence, called. He changed his mind about the theater, and we'll meet you there at eight o'clock. Well, figure that one out. I looked at my watch and it was five after eight already. I get to the theater by 20 past. Nobody's there.  The padlock I saw on it in the other day was gone. I give the door a little push. It swings open. Well, it's just like any other theater lobby. White tile, brass rails, cobwebs all over everything, of course. I go on into the house, and they're in the center of the stages that one big work like the cop told me they've been keep burning all these years. What a queer duck that Florence must be to keep electricity going for 10 years. And in the center of the stage is a big organ, and the light behind it sends screwy shadows up against the wall. I walk down the long aisle, and up the stairs onto the stage. And as I walk across it, I could hear my footsteps echo. I never could resist listening to a necko, so I yelled, Hello. Back then like a kid whistling in the dark, hey, look, Maury, you're all alone here. There's nothing to be afraid of. Well, then I see that organ. I walk over to it, run my hand across the key. I quit that in a hurry. Then as I wipe the dust off my fingers, I look up into the flies. I look and I see sandbags hanging. Whoa. They must weigh 150 pounds. I was just looking up at the catwalk, which I... Then I see somebody move. I was sure of it. Just off stage. The guy moved in the darkness. Don't ask me why, but I started to walk toward him very quietly. Yeah, he was there. I could see him now. Hey, come out of there, you! He didn't move. So I walked over closer. It was... It was a dressing room. And the guy I saw reflected was Maury Swartz. That's right, me. Maury Swartz reflected in a dressing table mirror. Well, just then I saw a door to another dressing room across the hall. That door was closed, but something about it made me stare. It was the number on the door. Number nine. I remember the key I picked up in Laverne's room. Then a flash I headed out of my pocket and was trying it on the door. Number nine, the tag said, and it worked. My knees were shaking and sweat was rolling down my face, but I opened the door as wide as I could. I stepped in. And then I stepped on something. It was dark, I couldn't figure out what it was, so I lit a match. On the floor were the white bones of a skeleton. And besides them, long golden strands of hair. And then I... I knew my heart was beating a mile a minute as I stole back to the stage. I got there and I started for the... the footlights. Suddenly I looked up, and my shirt was crashing down on me. I jumped back. Huh? Too bad. Florence. Where are you? You can't see me, Swartz, but I can see you. I'm up here in the flag area in the shadows. But you're well-lighted by that work life. You make a very good target down there. How will you do that, Swartz? If you make one move to put out the light and get away, I'll cut these counterweights and you'll be smashed to nothing.   No wonder you wouldn't run. And what are you going to do about it, Mr. Swartz? You don't have much of a chance, do you? Now, there's no way off the stage, is there? Well, I... I can get out the wings, Florence. It's a long walk, my friend. And before you make it, I'll drop these sandbags on you. Oh, yeah. Well, maybe in a minute or two, I'll make a dash. Maybe I'll be faster than you will. Then what, Florence? Then you'll fry for killing that girl. She had it coming.  And you're going to get it. I'm cutting the weight loose now. No, no. Don't do that. Please, will you? I... Oh, that's a long way to fall. And an awful way to die. Even for you, Florence. There's the story. And if you don't believe it, there's nothing I can do. Florence was leaning over, cutting those ropes in the guardrail in that old theater giveaway. And then it was curtains for him. Well, I hope I entertain you. Oh, by the way, if you happen to need any ties, I got a nice new line in. I hope you won't think it's sacrilegious, but these ties, and they come in all colors, they got a girl's picture on them. It's a cute idea, huh? I call it the Laverne Tie. So don't forget, look me up. I got a little stand in Rosenblatt's department store. You can't miss it. Right in the bargain basement.  Tonight's study in suspense. This is Truman Bradley for Roma Wines, the sponsor of suspense. Welcoming guests with Roma California Sherry is becoming an American custom, says famed hostess Elsa Maxwell. Glorious Dole and Amber Roma Sherry, served cool, is a delicious appetizer before the meal. The perfect first call for dinner. Delightful later in the evening too. Roma Sherry is a happy mellow wine with natural fragrance. Cream rich with natural grape sugar sweetness and nut-like taste. If you prefer a real dry Sherry, get Roma Pale Dry Sherry. Like all Roma California Wines, Roma Sherries are true wines. Always unvaryingly good. You can now enjoy the taste luxury of Roma Wines at the lowest prices in years. At savings as much as one fourth. Grown from choice grapes, unhurriedly perfected by age-old skill. Bottled at Roma wineries in California's choicest vineyards. Get your favorite Roma Wines now for holiday entertaining. Insist on Roma Wines. Roma Wines offer you so much, for so little. That's Roma. R-O-M-A. Roma Wines. Lloyd Nolan appeared through the courtesy of 20th Century Fox Film Corporation and can now be seen in their production, Second Street. Next Thursday, Roma Wines bring you Miss Nancy Kelly in Suspense, Radio's Outstanding Theatre Thrill. Presented by Roma Wines, R-O-M-A. Made in California for enjoyment throughout the world. This is CBS, The Columbia Broadcasting System.


Yeah, thank you. Hello everyone great for having me here and Need to fix my technology here before I start Yeah, so good day, and I'm pleased to be here today and thanks to our friends from the open forum Europe For having me and for bring us all together and thanks to Deputy Prime Minister Bartosz about the creation of the Czech National Open-source program office as well as the digital agency absolutely appreciate our friends our colleagues in Brno where we have our largest our largest Engineering center in of red hat absolutely excited about this collaboration To work with you and to have this joint journey together You mentioned a couple of areas around upskilling and the need of bringing people to the next level So I'm just arriving back from Dublin where we had the full week of bringing our go-to market organization our technical organization together so more than 2,000 people to work on this upskilling and and further Yeah, activities in order to to bring that to the market So as we joined together here today for the OVs EU policy summit and tomorrow's first them Weekend we can look forward to an exciting year where open source is the catalyst of innovation in both core markets such as public sector FSI Telco a new concept like edge computing in manufacturing and energy automotive and other transports areas are going to be Fueled by the energy of the community in open source We are living in a world full of both peril and promise You mentioned the war in the Ukraine it continues and we see continued strains in the global supply chain With physical assets, but also on the software side and the world economic outlook Continuous to shift rapidly Europe's strengths in caliber collaboration and citizen-centric principles Have taken center stage in the global discussion fundamentally changing the debate about how we build and deploy Technologies for people's needs Decisions made today will fundamentally Influence not only how technology is brought to market But the relationship between the creators and the consumers and These technologies for will change for decades to some across all sectors in Europe We continue to see Europe's leadership in the latest default to open policy proposals before us Such as the interoperable act Europe act Why we hear more about this proposal from the commissioner Han? Later in our program the outlook for the open source software and open standard is clear These technologies support user autonomy independence and reversibility by their nature open source software and open Standards enabled interoperability that catalyzes both innovation and collaboration Simultaneously it provides citizens with with the mechanisms and transparency necessary to understand many complex software systems that impact our lives day to day and thereby close the gap between the regulator and the regulated The provider and user as well as the contributor and user So when we discuss digital sovereignty, it is clear that transparency and openness are essential to create trust open source at least To me seems to be the natural choice We have seen strong recognition of Open source as a global commons under the previous check EU Presidency with a similar approach Undertaken now by the current Swedish EU Presidency as well as Spain in the second half of this year and we make choices About how we will bolster this global commons and the rules of engagement between ourselves We are fundamentally called upon to support it from our policy perspectives also from the computer perspective and from all of us so What is it for us to contributing in order to this? Global comments if we are not creators at least of the software. How are we supporting the ecosystem? In order to build a sustainable and thriving environment How do our actions create mutual benefits? Improve the technology state-of-the-art and improve respective bottom lines. I think you have seen this data Because that's the exact same data. I showed last time I was able to present here. Unfortunately only online and from a different continent But this data Will not be a surprise to anyone. I guess at this Fortunately and we can look to some of the contributions and discussions later on to hopefully have a little bit of new data during during this event today, but What is clear to both long-standing practitioners of open source and Born out of the European Commission study from 2021 open source is a fundamental enabler of economic growth and an engine of innovation When the best possible ideas can come from anyone and The solution to global challenges can be produced anywhere The resulting collaborations will always drive forward the technical state-of-the-art and empower those engaged in the acts of Co-creation as mentioned already. We welcome the interoperable Europe Act which articulates very well why open source is critical for Europe's recovery Transformation and global competitiveness. It is user are autonomous and independent it mitigates cybersecurity risks and login effects and It has the best return on the investment for public money indeed There are other a you regulations such as the data act which we also see as vital establishing The underpinning policy foundations to ensure that open source is fully empowered to unleash all of its positive effects and yet, we also see that there is a still a lot of work to be done in order to make sure that we are Mitigating the unintended consequences of policies around open innovation While open source development practices are an understood catalyst for innovation We are seeing the recent growth of Europe in Europe of the open source program offices or Ospo While Ospo's have long been a feature of large technology companies We have seen this construct emerge as a mechanism for supporting the growth of open source as a change Agent within industries who are just starting to on their open source journeys and particular within public sectors bodies and across academia Ospo's are charged with a clear mandate For be directional advocacy both within the organization Establishing norms for engaging with open source projects and championing open source practices and externally on the organizations Ensuring that work in a particular community serves the interests of that community It participants and their outputs to end users It is not worthy that each of these Ospo's cited on this slide were created within the last two and a half years with the rise of the Ospo's as Mechanism to support and extend collaboration Across Europe we find ourselves in an enviable position of being able to create software for ourselves and for the world But also to embed European values into the architecture of these systems from the get-go Values such as human-centered design transparency fairness and accountability are not after thoughts As to how systems are built and should work but essential questions before we begin to architect the software itself How we export European values through our software creations and do so in a way that is Compatible with open source practices is Once again an important question for us on this journey Let us work together to create a virtual ground for our values to take root across the globe I hope make up some of the time from my Well predecessor here, but I made just to recap Digital sovereignty open source and open standards are a natural combination Open source continues to grow as a market That delivers growth in revenue jobs and solution So thank you all for time and having me here today on board and I wish you a good conference


What is going on everybody it is Stas here welcome back to another video So in today's video, we're going to be doing an overall market update taking a look at the Dow Jones the S&P 500 and the Nasdaq we're also going to be doing a trading update talking about what I personally did today on the 17th of June in terms of my trades as well as taking a look at some other stocks and ETFs that I'm personally watching and keeping my eyes on to trade in this week that we're currently in the third week of June in 2019 as well as just going over some news that I'm personally watching that I think and Keeping an eye on that I personally think is going to fluctuate the markets a lot here over the next coming coming days So before we do get into the topics of today's video for everybody out there that finds value in these videos All I ask from you is to go down below and hit that like button It really supports me and supports the channel in general and stay connected with our community guys by joining the two links down below The discord and the Facebook groups both of those are 100% free of charge And you'll be able to talk to hundreds of other investors and traders with similar mindsets as You so without further ado, let's just get right into a guy starting off here with the S&P 500 the 500 largest publicly traded US companies it ended up closing up today up in the green up $2.69 cents up a measly 0.09% at the close the Dow Jones Industrial average ended up closing up the same on a percentage basis as the S&P 500 0.09% and it was up $22 and 92 cents nearly $23 here at the close today And the Nasdaq did very well today up 0.86% up $65 closing above $7500 today, and this is mostly due to tech stocks They did very well today Apple Amazon Facebook Facebook, especially Google Microsoft Netflix the couple big tech stocks that I personally follow they all did quite well today So other than the Nasdaq the S&P and the Dow you guys can see it was pretty flat continuing this kind of Consolidation range that it's been in over the past couple of days and pretty much continued that today And if you guys don't know what I'm talking about if we go to the 10 day 30 minute the Consolidation that we've been seeing on the S&P has been very very strong We noticed ever since we got that double top at about 29 10 We sold off to about 28 75 and we've been hovering around You know 28 75 to about 29 hundred dollars here over the past one two three And today marks the fourth day of trading and this in my opinion is Kind of the calm before the storm because we know on this Wednesday 2 p.m The Fed is going to come to a decision on whether or not it's going to cut interest rates right now And for those of you guys that don't know we got news of a potential interest rate cut a couple of weeks ago Or at this point it was like two weeks ago and that caused the market to fly the markets recovered very heavily You know from this this hint of news that the Fed could potentially cut the interest rates And now we're noticing again the consolidation The meeting is coming up 2 p.m. Eastern Standard Time this Wednesday And if the Fed guys this is why I'm saying it's the calm before the storm You know this can really you know pump the markets to the upside or the downside Let's say the Fed right they come out and they say they are going to cut interest rates in my opinion If they do that that's going to pump in even more Optimism into the stock market just think about it guys the markets flew up and recovered this quickly Based on a simple hint of an interest rate cut think about if it actually happens I think at least in the short term The market is going to go crazy and maybe rally up to all-time highs again Right because this is kind of like a last-ditch effort You know for the Fed to stimulate the economy and continue this run that the market the stock market That is has been seeing over the past couple of weeks months and of course Years right and let's say the flip side. Let's say the Fed, you know, they don't they don't cut the rates Let's say they just keep them the same I personally think you know this can dump the markets in the short term which again is why you know This is the calm before the storm once we get this decision the market is going to pick a direction It's going to pop up or it's going to sell off pretty aggressively based on what the Fed You know is doing here, which is why again the markets just have been very very calm very very steady They've been consolidating, you know things are going to get crazy here in the next couple of days and weeks in my opinion Guys because let's say they don't cut the Fed rate or the interest rate here Let's say they don't do anything to it in July the next meeting They might cut it in that meeting So, you know, there's just a bunch of things that that that are going on right now over the next couple of weeks And months in the market regarding the interest rate, you know potential cut I'm just very excited to see how it does, you know affect the overall market So as of now technically speaking on the SPX nothing has really changed from the past couple of videos that I've made talking about the technicals We're simply trading above 2885. We're holding that level old resistance right now, you know as a new support with the resistance where we are right now at about 2915 so we're simply trading between 2885, 2875 and 2915 and again once we get that decision from the Fed This is going to pop us either out of their resistance here above 2915 or it's going to sell us off, you know, maybe back down to let's say 2850 on that 180 SMA if we sell below we may be going to 2830 2800 2735 these are a couple of levels that we could be selling off to on the S&P 500 So going over here to the Dow Jones industrial average, you're seeing a bunch of the same in terms of technicals We've been consolidating over the past couple of days ever since we got the double top at about 26200 You know, we've been really just chilling above 26,000 with a resistance at about 26200 dollars, so we're simply trading in a 200 point range right now and again when the Fed comes out with their decision and by the way the Discussions are actually starting tomorrow, you know when the Fed comes out This is going to push Dow up above 26200, which is a resistance if we see, you know A Fed cut and the and the markets go bullish, you know, we could be popping up here 26200 26500 those are the next levels that I'm personally watching, but let's say there's no Fed Interest rate cut Let's say the markets take that negatively because they're pricing it in right now so heavily in my opinion You know, we may be selling off from there going back down to let's say $26,000 flat would be the next support obviously from there. We may be breaking down to 25,000, you know $500 and the and the supports go on from there, right? We may be going down to let's say $25,000 flat these are the levels that the that the Dow could end up selling off to so again Not much different from yesterday's video or the previous video that I did on the market Nothing has really changed in terms of the Dow and the S&P from a technical perspective But if we're going over here to the Nasdaq this one has changed a bit because we saw a big run today And this is showing about a $7 move right now But this is the after hours in terms of the futures here But if we go on the one day one minute you guys can see the big push that we did have this morning when the markets Opened and we maintain that level throughout the day and what is this doing to the Nasdaq guys It's kind of pushing us out of this little downwards channel that I had drawn out from these trend lines that we see here that we've kind of been trading within Over the past couple of weeks So here this bullish move that we are seeing which is the break out of the resistance of this downwards channel This can be something that pushes the Nasdaq up more on a technical basis here Over the next couple of weeks and days, which is something that i'm interested in right and again if we get that Rate cut who knows guys the Nasdaq it could be pushing up very heavily from there We could break out of the 7600 level of resistance Which is the next level that we're facing here We could be going up to 7800 again Who knows we might be up to those all-time highs if that does end up happening so 20 day one hour chart you guys can see again We broke that you know five day five minute You guys can see you know the upwards trend that's been forming here You know everything is looking for and pointing to a breakout right now in my opinion on The Nasdaq but don't just um, you know, don't just think it's going to break out 100 percent here again This fed meeting is going to be a huge catalyst to the upside or to the downside For the markets and i'm very very excited to see what is going to happen And that's really what i'm waiting for right now to see a a direction Up or down in the overall stock market. I think it's going to fluctuate it a lot So that was the market update portion of today's video guys if you enjoyed Um that portion of the video. Let me know drop a like down below and hit that Hit a hit a comment. Let me know what you guys think about this. What do you guys think about the Fed? What do you guys think about the current stock market? What are your? Thoughts on the technicals. I would love to know so getting into what I personally um traded today I traded beyond meat, which was actually a stock that I called out in yesterday's video and this stock today guys went up 12 percent Up nearly 20 dollars per share here and this is just This is just crazy guys because this stock went from 45 dollars all the way to 186 It cooled off a bit We were holding that 50 SMA like we said in yesterday's video and we were kind of in this wedge as you guys can see You know from the trend lines that I drew in yesterday's video And I was talking about how if we were to break out of this resistance You know of this resistance of the wedge that would be a huge breakout And what did we do a bullish breakout and what did we do this morning guys? You guys can see we were we were running up pretty aggressively In the pre-market session if we go to the one day one minute Actually, let's go to the five day five minute. You guys can see it even better right take a look at the resistance of this wedge You guys can clearly see it right we started to break out of it this morning We were riding the one or the 50 SMA rather pretty much continuing this little uptrend That we've been on over the past four days and when we broke out of the resistance and when we you know Popped up so aggressively nearly, you know five six percent You know when the market opened or right near when the market opened I knew this was going to be a breakout or at least it was on my eyes For potential trade due to the breakout that we saw and it ended up playing out Very nicely guys. We opened up here We popped up we sold off and the thing that I was looking for here After this sell-off is I wanted to see you know Are we going to maintain the trend from pre-market hours? And also are we going to maintain the trend above this 50 SMA which has been a support If we look you know over the past couple of days and the fact that we pulled back We held those levels the 50 SMA and that trend line that I just drew for you guys That gave me the notion the confirmation that we're holding the uptrend and this could be a dip by opportunity And that's exactly how I ended up viewing it ended up getting into beyond meat After this pullback to retest on the 180 SMA here on the intraday chart We started to pop back up ended up getting in at about 163 163 50 163 60 is when I ended up getting into this position as we started to break out of this Resistance from the pre-market session at about 8 15 a.m Pre-market hours eastern standard time today So I got in right around there after the break of that resistance and I wrote it up pretty much to the resistance that we were at From this morning's pop up to about 167 80 I didn't sell off at the complete tippy top here But from where I got in Up nearly to that resistance. I ended up selling off right around here You know, I ended up getting out with about a 1.75 1.8 Profit as I sold out at about 166 50 ish 166 60 right around there So I made roughly three dollars per share on beyond meat today and this is a stock that Again, like I mentioned in yesterday's video, it just IPO'd a couple of weeks slash months ago at this point It's very very overvalued right now But stocks like this just because they're overvalued For the long term perspective of the company because I think this market cap is about 10 billion right now And they only make like 50 million dollars a year in revenue or something like that Don't quote me But I know the market cap is way overvalued for what they're bringing in in sales Just because it's overvalued doesn't mean that you can't hop in and out of it on Day trades or short term swing trades because the stock is volatile, right? So just because it's overvalued don't be scared to trade it Just realize the amount of risk involved with the company like this That's gone up for x in the past couple of weeks realize that it can fall down Just as quick because it is a speculative stock. I don't think they're making any money right now They're not profitable. They just IPO'd very very spec play here and please please please You know, do your research do your due diligence before even considering trading or buying this Due to the risk that it carries and don't trade it based on my opinion guys Please just do your own research on this, but it does offer a bunch of opportunities So that's pretty much all I ended up doing today. I traded b y n d and the uptrend is looking Beautiful guys. Let's say this hype continues. We might be hitting 200 dollars per share But as it gets higher higher and higher more overvalued, I'm probably going to be staying away I'm from beyond meat Because again, it can crash like that any second and I don't want to be caught Bag holding this one. That's something that not anybody. I don't think anybody would want to be caught Bag holding right so that's kind of it for my trade today Let me know down below in the comment section what you ended up doing. I would love to know So let's talk about some other stocks and ETFs that I'm personally watching here You know heading on for the rest of this week and quick announcement actually I'm going to mexico tomorrow. So these next couple of days. I'm going to be there for about Um eight and I I think it's like 10 days. I'm going to be there There's going to be content on this channel But the market updates might be a bit irregular because I'm not sure the time difference right now with Mexico and the upload schedule that I'm going to be Doing but just know there are going to be videos coming out. Maybe not daily But maybe every other day I'm going to try to do the market updates daily But just figured I'd let you guys know and expect a video tomorrow on A very interesting topic that I want to talk to you guys about it's not going to be a market update video But it's going to be a very interesting topic and I'm sure you guys will really enjoy Tomorrow's video. So that's just a quick announcement Know that I'm going to be in mexico might not be as active in the chats in the facebook group You know on the youtube comments simply because I'm going to be traveling. So let's talk about um Some stocks and ETFs that I'm personally watching right now mostly these ETFs So I'm liking the gold movement that I'm seeing right now Gold pulled back today. It really didn't pull back today It actually pulled back a couple of days ago from 1360 down to about 1340 and today We we were up 20 cents really nothing much here on gold But the thing that I'm liking is the fact that we held this 50 SMA support here So what this is telling me is that this can be a potential bottom out point for gold before it ends up bouncing up and retesting those highs at about 1362 what we need to see right now though Is a definitive break up here back and say let's say the mid 1340s maybe low 1350s before we can confirm that push on gold and what will go up when that happens guys if that happens Jnug and jnug is a bull ETF that I love trading it goes up whenever gold is going up at a 3x Rate so this one it's going to be good in my personal opinion here over the next couple of days And i'm definitely looking to play this maybe not tomorrow because again I'm going to be traveling it might be kind of tricky to trade from the airport I have a layover flight in uh in fort lauderdale tomorrow So maybe I can like hop into a swing um before the one flight and hopefully come out of the flight With a profit, but I don't know if i'm going to do that guys to be completely Honest with you all I might just take the day off trading tomorrow But i'm still going to be watching these four potential plays crude oil ended up uh not really getting uh uh uh you know uh really hardly rejected today But it did end up still getting um i'm kind of uh rejected under this 50 sma It's still having some difficulty breaking out of their resistance Although we haven't fully dove down yet for that lower to low and that's actually what i'm waiting for tomorrow Since we didn't really see a crazy red day today But we did see the resistance that is still there which is that 50 sma You know i'm thinking tomorrow could be a big dumping day for crude oil You know if we do get that break down to let's say $51 again, maybe 51 80 51 70 that could be the confirming thing that I want to see Before hopping into um DWT and before really confirming the push to the downside here And for those of you guys that don't know DWT is actually an ETF That goes up whenever crude oil is selling off. So keep an eye on this one. It's a 3x ETF so it goes up three times what crude oil does end up selling off So let's say crude oil sells off two percent DWT should be up around six percent So those two right now are looking very good and obviously if crude oil Let's say it breaks out of that 50 sma let's say we make a a bullish run there You know uwt is going to be very good in my eyes It's battered down here and it goes up whenever crude oil is going up So that is um a couple those are rather a couple of ETFs that I am watching heading on To the rest of this week Facebook is a stock that I'm watching because Facebook as many of the other tech stocks have been getting crushed They are on downtrends Facebook right now is actually one of the only ones that is out of this downtrend Although it's very overbought you can't deny that the RSI is all the way up and nearly 90 right now You I mean, but we did end up breaking out of the 180 sma We're making higher highs higher lows and the uptrend right now Seems like it's continuing itself and this could be because Facebook doesn't really have any Exposure at all to china right now and a lot of the other tech stocks They do so this can be something that is propelling Facebook a bit higher than some of the other stocks in the stock market Especially, you know like apple for example But again, it's over but it's it's reaching that level of resistance at about 190 dollars But now what I would like to see is a potential rejection there a pullback down to about maybe the low 180s Before potentially entering Facebook a level that I think could be a a level of support here Could be about 180 dollars because notice how we kind of plateaued consolidated that that level for a little bit A couple of weeks ago or a couple of trading days ago rather and we propelled up from there So a healthy pullback. I think a healthy retracement would be back down to about this old level of resistance Making it a new level of support or maybe a bit above it like 181, you know, 182 I think that could be a very nice entry point on uh, Facebook. So AMD, you know, AMD Let's take a look at what it did today. Um, you guys can see Semiconductor stocks at least AMD continued its sell-off. So at this point I'm not looking to play it because we broke the critical level of support Which was an old resistance at about 30 dollars We could potentially get a bounce back here because again, it's very over but our size very oversold But I don't know guys. I need to see some definitive action pre-market hours to the upside before even Trading AMD at this point due to the key technical spot that it just broke. Let's take a look at some other Semi stocks, you guys can see MU was down about 0.7 percent today Qualcomm up about 0.5 percent. Okay, that's not bad. I'll see Intel down about six cents Nothing really crazy here. So semis they didn't really rebound at all But they didn't really dump much harder other than um AMD at least out of the ones that I personally track here Tesla, let's take a look at tesla. I actually didn't even look at it today. Oh my goodness guys tesla here it goes. Wow Up 10 dollars and 11 cents at close up 4.7 Percent could this be the point in time where tesla is finally getting out of this downtrend We can see it's slowly breaking out of this 180 simple moving average This can be a point in time where we reverse But i'm not fully convinced quite yet because like I've been saying guys the the narrative around tesla right now Is super negative and until we get some very very Great production numbers until we get a strong earnings report until we get maybe some profit out of tesla You know for for a change of the narrative, I really don't see it fully recovering until We get that so those are just a couple of plays that i'm watching You know tesla here for maybe a breakout at this point, you know facebook market ETFs tvix sqqq spxs Of course, these are all ones that i'm always watching and watching You know for this week crude oil gold Uwt dwt jnug jdst, you know drip right now is on the 50 sma here on a pullback This can be a nice bounce back play tomorrow. This one trades on Xop goes up whenever xop is selling off. These are very interesting plays as of right now So I hope you all enjoyed this video If you did feel free to go down below and hit that like button It really supports me and supports the channel in general and if you want to see more content for me Go down below hit that subscribe button Hit that notification bell so you're notified every single time that I do make a video and feel free to drop a comment Let me know how you guys did today. Let me know what you guys Think about the markets and if you have any tips on mexico What to do there things to keep an eye out for feel free to drop that in the comment section as well too guys Because I've never been to mexico. I'm excited, but I'm a bit anxious as well So I do want to know anything that that that that that's worth knowing So leave that in the comments if you guys know anything. I'll catch you all in tomorrow's video again There won't be a market update video, but there will be a very interesting video Regarding the current state of the stock market. So keep an eye out for that I'll catch you all in the next video. Thanks again for watching. Peace out