Hey everyone, oh man, I know it's been a few days. Sorry about that. I'll start with the lack of videos We have a new episode of HTN Here's the news coming a little bit later probably I don't know four hours from now or so Depending maybe a little sooner. We'll see but right now I needed to get this story out cuz it couldn't wait you guys know We've been on top of that switch pro news like crazy and if more details come out between this video and The next one will well we'll add it to here's the news but for now I want to get into this because switch pro news is popping off still and It's looking like maybe I was pretty correct when I said the digital foundry was wrong in that video member John Lennon clarified what they meant. They said there was two different models I think is coming one with the old that seven-inch screen that was going to be like a new Tegra x1 XL model and then a switch pro model coming in 2022 well Takahashi machizuki at Bloomberg opened up again this time with different sources than last time well the prior sources seem to be about Executives high up at manufacturing plants working on Nintendo components. These are now from actual game developers, which Gives us some Clarification on prior rumors as well. We've been hearing about the switch pro But in more exact details here than simply just saying oh it has DLSS It has 4k those have been like generic terms tossed out there now. We get more details Let's get into this article So this is over here at Bloomberg. This was just posted literally today They're like way earlier this morning. Look at that 140 a.m. Central So it says that Nintendo will use new Nvidia graphics chip in 2021 switch upgrade so Nintendo company plans to adopt an upgraded Nvidia Corp chip with better graphics and Processing so a new GPU core new CPU cores for a new switch model planned for the year-end Shopping season according to people familiar with the matter the new switch iteration will support invidious deep learning super sampling or DLSS a novel rendering technology that uses Artificial intelligence to deliver higher fidelity graphics more efficiently that will allow the console which is set for an OLED display Upgrade to reproduce game visuals at 4k quality when plugged into a TV. So they're saying DLSS is intended for TV use Said people who asked not to be identified because the plan is not public a.k.a. Nintendo hasn't announced it yet the US companies new chipset will also bring a better CPU and increased Memory DLSS support will require new code to be added to games So it'll primarily be used to improve graphics on upcoming titles. So the people including multiple game Developers Bloomberg News previously reported that the new switch is likely to have a seven-inch OLED screen from Samsung display company and Couple with the consoles released with a bounty of new games Nvidia and Nintendo representatives declined to comment which of course they did because nothing is actually announced Nintendo switch game release calendar remains mostly empty for the later half of the year So the company announced Tuesday a new partnership with Niantic I'm gonna kind of skip over that because we will talk about that in the upcoming htn Analysts expect the new switch will be offered at a higher price than the current models to 99 a level unchanged Since the switches initial release into 2017 Bloomberg's intelligence Matthew canerman foresees an increase of as much as a hundred dollars 349 99 will increase the value proposition of the device But I think Nintendo can drive strong demand even at 399 99 DLSS was first introduced as an image upscaling feature in 2018 and remains exclusive to Nvidia graphics It's an atypically advanced edition for Cairo based Nintendo Which hasn't Attended to opt for more mature and lower-cost technology than rivals Sony Corp and Microsoft Corp Adopt with their consoles the new switch will still lag the overall performance capabilities of its pricey arrivals What we value is how much a new technology contributes to the fun experience and how comfortably a consumer can play Nintendo senior executive officer Koshioto said last year. So in the end what this means, you know, just just reading just just reading this article again This is like my fourth time reading through it this morning. I kind of get the feeling that Nintendo is Recognizing something that maybe Would not have happened under Iwata and that is that Nintendo can't keep doing the same thing over and over again and expect Different results. Nintendo has had upgraded hardware in the past the new 3ds. Yeah, it helped with sales of the 3ds Just like you know, the what is that the the Gameboy Advance sp Helpless sales the game boy color help was there But we weren't seeing the same success that Nintendo had seen before and we saw with home consoles You know, they had like the Wii many at one point that you know They thought that was gonna be the thing that was gonna really reinvigorate Wii sales by offering this super cheap version of the Wii that strips out a bunch of features that you don't need if you're out In the middle of the woods in a cabin and you can't Use a Wi-Fi or it could be your second sweat or second Wii or whatever in the house or third Wii like It just it looked cool. The red and black colors were were were definitely something But it also didn't really fit it was like a backwards move at a time when HD Wii that would have allowed all games to be automatically upscaled to HD Would have been better or at least allowed developers to release HD updates for games would have been better They instead opted to go with that and then give us the Wii U a number of years later Which was a little like too little too late, you know, I had the power of an Xbox 360 in PlayStation 3 a little bit more Powerful in some cases less than others, but it also lacked the ability to Really deliver that Wii brand experience right that we built on the motion controls It kind of went away from that one with this whole gamepad thing that felt like an add-on Nintendo's a lot of reasons I've examined this before on why the Wii U ended up not working out for Nintendo Even if it ended up being a stepping stone the switch But there's a lot of you know all the reasons that Wii U didn't work out are the exact reasons that switch Has and she sure for a kawa again I'm gonna keep bringing this up because this is a very important difference between Shintura for a kawa and the prior couple of presidents including Kimishima who was there temporarily as Until for a kawa was ready and then obviously Satoru Iwata and that is that hey he views this This Nintendo company this switch business as do or die every year every year Nintendo is in a do or die mode. He doesn't want to fall off a cliff He's been at Nintendo for 20 years and he has seen Nintendo Consistently fall off a cliff and he doesn't want that to happen. This is a different Nintendo and a different president Now you might not like that this president isn't as forward-facing as Iwata was doesn't seem to have that personality Where Iwata could really connect with people because he's a gamer He was a game developer then a corporate CEO right like he worked his way up the chain And there's a lot of respect he gained for doing that He had a really bubbly personality just like Shigeru Miyamoto Reggie Fizeme just that was a different era of Nintendo and yes, like many of you. I miss that era I miss the directly to you the jokes the memes that my body is ready Like I I miss that era of Nintendo But at the same point that era wasn't without flaws just because it was entertaining to watch from the outside looking in Doesn't mean that it was perfect either For all the high successes of we and DS there was the Wii U and 3DS Which even though the 3DS sold well really isn't that successful in comparison to Nintendo's other handheld systems Like there was really really high highs and really really low lows and and every generation Even going back to Gamecube when they would see some success with sales It would just stop and fall off a cliff Maybe because game development went away or Nintendo stopped supporting it or there was just too much hinting like Oh Wii U you know back back in 2000 remember Skyward Sword came out 2011 decade ago. We got Skyward Sword. They announced Wii U the E3 before Skyward Sword released. What the Frick did you think was that was gonna do to Skyward Sword sales? They avoided doing that the second time around with Switch where they waited But still what did they think was gonna happen? So this is a very different Nintendo and a very different president and I think This president sees more Is more apt to technology and and sees the forest for the trees He understands that yeah Nintendo has a unique nature that keeps their games keeps an animal crossing me in a 30 plus million seller in less than a year Has Mario Kart 8 Deluxe a Wii U port selling 30 plus million has breath of the wild at 20 plus for the first time All the games even cross 10 million let alone 20 like he sees that Nintendo has a unique charm a unique magic to it I mean heck under Furukawa. We got the deal made for theme parks the Super Nintendo world out in Japan And now there's one being built in Orlando, Florida, and I think there's a third one. They're planning to build now Like we're seeing that he recognizes the magic of Nintendo But I think it's trying to merge the magic of Nintendo with the reality of technology and trying to realize Hey, we have something that works. We don't really have a competitor for what we're doing Right now. There are GPD win three people gonna run that up Who knows if Sony ends up ever rejoining and coming up with another PSP PS Vita I know there's some speculation and rumors are out there about that. Maybe they jump back into the fray Who knows what other future handheld and hybrid systems could exist Including the ones that already exist for PC that aren't super popular because they're pretty pricey But you know, they're out there and if they ever become affordable with good good specs, we'll see what happens But I think that he sees a Nintendo that is in a very unique position where they don't have to let go of this switch I do see in the past. Okay. We happened everyone adopted the Wii's motion controls did them arguably better with PlayStation and And in Xbox and then started going to the next level. What happened with motion controls? They're still relevant for Sony. They have a brand new PlayStation VR platform for PlayStation 5 coming next year with all new motion controls They went to the next step of motion control technology, which was VR Sony took what Nintendo started and took it to that next level Okay, Microsoft might not have it locally on their Xbox, but they are heavily involved in VR on the PC side of things like Nintendo Didn't go to the next level with what they were doing. So now Nintendo is in this unique position where they have the only hybrid Home console that's portable on the go getting home console quality games like do me turn all breast of the wild all that jazz on the go Right. They're the only company that offers a platform like that. That doesn't need to be done with streaming Microsoft's answer to what Nintendo is doing is we're going to stream we're going to have X cloud Sony's answer right now is I don't know I Mean Microsoft has remote play that works, you know pretty well if you're in your house You know, I've used remote play on Xbox series X on my tablet upstairs and I mean it works. It's not perfect I have some controller issues mostly and I'm using an iPad which I thought the controller issues would be sorted out But they're not But whatever like it does technically work as long as I can get the controller to sync up correctly it works so I Think that we are in this situation that that Shantara Furukawa knows what he's doing and he said look we are where we are because of how Amazing the system is because of how appealing it is and because of our games So we're not going to stop ramping up game production. Hello. We just got Splatoon 3 announced for 2022 Do you let me put this in perspective? That's five six years in Nintendo is usually at that point is dropping support to support their next system But Shantara Furukawa was like, but why would we do that when we're only halfway through? How could you only be halfway through the system that came back up in 2017 using 2015 tech? Oh, because we have a new system coming in 2021. That's using 2019 2020 tech and Yeah, it's gonna be more expensive.  We're not gonna stop making and selling the original switch at least not right away You know, if this premium one doesn't work out, we still have the other one But they know the man's gonna be there. They know people are gonna want to take advantage of their 4k television sets with a switch They don't want to fall behind. They don't want to see what happened with we where when we came out Yes, it was a gamble to not support HDTVs, but HDTVs weren't in every house five six years later Everyone had an HDTV here. We are in 2021 and while 4k adoption rate is not blowing up as quickly as 1080p Because HDTVs last a long time and people don't look to replace them all the time The adaption rate has now reached a point where I think it's like one in every three households has a 4k Something whether it's their phone with a 4k screen a 4k monitor 4k TV Some sort of 4k devices in their house now that's capable of displaying 4k and that's one out of every three houses in America It's gonna probably be half of those houses by the end of you know But by sometime in 2022 to probably one or one of every two houses and then in three years It'll be probably 60 70 per five percent of houses do because 4k has become so cheap for 250 bucks You can get a 4k television. Is it a great one? No, but it is 4k resolution It is better looking than the cheap 1080p panels. They might own so He doesn't want to fall behind and yeah I know it's funny saying that one. Oh my gosh, it still has a 720p screen handle. Let's just wait till it's here Let's wait and see what that screen looks like in comparison to the original switch. Let's see what the OLED difference is Let's see if Nintendo decides to start using anti-aliasing. Let's see what the full tech is. Yes. It's a new GPU Yes, it's a new CPU compared to the old switch. It's more memory, too I don't know how much, you know, are we talking storage internal storage memory? Are we talking like 64 gigs 128 gigs? I would just talking more memory in terms of RAM or VRAM, you know If we're just talking about normal RAM, there was four gigs. Are we going up to six? Are we going up to eight? Eight would probably be ideal with a lot of phones with eight. They'd be sweet if we had eight gigs We'll see But they're very adamant. It's coming this year.  It's coming this holiday. This is Nintendo's plan period They just haven't announced it yet That's exciting to me. We're getting new technology Nintendo is The old Nintendo would just keep the normal switch as it is and milk it and milk it and milk it until it doesn't sell anymore This isn't normal Nintendo This is Shincheiro Furukawa's Nintendo. He's keeping with the times He's gonna keep this platform going as long as you can then the next gen switch or whatever people think might be coming in 2023 2024 or whatever year you think it's coming Guess what? What if it's not called a switch to? What if it's just the new Nintendo switch or something like that, right? It just feels like another upgraded switch except that upgrade is now basically a new generation in comparison to the original and Then the family of systems continues and suddenly it's like a phone Every three four years you just get a new one You don't have to buy that one. You only have to buy one factually every six years I've been talking about this strategy for a long time and how smart it would be and Again, Nintendo releasing an upgraded switch this year doesn't necessarily prove my strategy belief that Nintendo is going to do is correct But it's a step closer and if the next platform comes out and they don't advertise it as a next generation switch well Kudos to you Nintendo Because I think this is the exact market strategy. They need to be doing with a mobile chipset Gotta stick with the times in Tendo and in video right now doesn't make this crap for anybody else So that whatever we're getting is not currently being used in any other gaming device and that's exciting too Now there are smart cars that can game and you can argue maybe that technology is being taken advantage of in smart cars When I'm just saying there isn't technically a gaming device that's using in video technology in this way not anymore So now you guys don't know you think about this down in the console. I am Nathaniel from Nintendo Prime Whoo, I'll catch you guys in the next video


Welcome to the Coronavirus Weekly Brief. For your hosts, I'm David Sturman. And I'm Melissa Sallick-Vark with New America. Here are the headlines you need to know. There have been more than 6.3 million coronavirus cases in the United States, and more than 189,000 people have died according to Johns Hopkins data. Around 2.3 million people have recovered, and the United States has conducted almost 84 million tests. Worldwide, there have been more than 27.5 million confirmed cases of coronavirus, with 898,020 deaths. More than 18.5 million people have recovered from the virus around the world. An international team of researchers combined data of over 399,000 patients across the world, and found that people who were considered obese were 113% more likely than people of healthy weight to land in the hospital, 74% more likely to be admitted to an ICU, and 48% more likely to die from COVID-19, reports Science Magazine. The study was published in Obesity Reviews last month. According to Ann Dixon, a physician scientist at the University of Vermont, we didn't understand early on what a major risk factor obesity was. It's not until more recently that we've realized a devastating impact of obesity, particularly in younger people, adding, quote, that may be one reason for the devastating impact of COVID-19 in the United States, or 40% of adults are obese, unquote. According to the report in Science Magazine, people who are considered obese have other diseases that are independent risk factors for severe COVID-19, including heart disease, lung disease, and diabetes. They are also prone to metabolic syndrome, in which blood sugar levels, fat levels, or both are unhealthy and blood pressure may be high. The first two cases of the coronavirus diagnosed at the Syrian refugee camp in Jordan were reported on Tuesday by the United Nations Refugee Agency. Both cases were detected at the Azraq camp, which houses 40,000 of the 650,000 Syrian refugees in Jordan, who have fled to almost decade-long war in Syria. The UN High Commissioner for Refugees also announced that all of those living with or near the two refugees have been isolated at a center within the camp, as health workers trace and test those whom the patients may have come into contact with. The diagnoses have raised concerns that the spread of the virus within the camps could be devastating, owing to poor sanitation conditions and the inability to socially distance. Around 120,000 Syrians are living within refugee camps in Jordan, with the rest living outside the camp's perimeters. Four refugees living outside the camps previously tested positive, with three recovering. Jordan has reported 2,478 cases and 17 related deaths since the beginning of the pandemic. India overtook Brazil on Monday to become the country with the second highest number of coronavirus infections amid fears that it will overtake the United States to take first place. With around 80,000 new cases reported every day, India is currently seeing the pandemic spread faster within its borders than any country in the world. Experts widely believe the official number of cases is an undercount, as the virus spreads through underserved rural communities in the country of 1.3 billion people. While the government imposed a nationwide lockdown in March, it began lifting restrictions in June as millions of impoverished city dwellers struggled to survive with neither work nor safety nets. The resulting exodus of urban migrants back to their home villages after public transportation resumed has only exacerbated the pandemic spread in the countryside, reports Bloomberg. In the past month, the total case count doubled from 2 to 4 million. India's GDP plunged 23.9% in the first quarter of 2020, compared to the previous year, making it the world's worst affected national economy amid the pandemic, reports CBS News. On Tuesday morning, more than 1.8 million American students returned to school amid debates and concerns over the safety of in-person schooling and the effectiveness of alternatives, according to CNN. The largest school districts are generally operating entirely online, but some districts are open for in-person classes. According to the American Academy of Pediatrics and the Children's Hospital Association, as of August 27, more than 476,000 children have been infected with the novel coronavirus and the number recorded in the study jumped by 70,330 in the last two weeks of the study, a time period that also saw many school children returning to class. In studies and lab dishes, the SARS-CoV-2 virus appears to dice up the long fibers and cardiac muscle that allow the heart to contract, scientists at Gladstone Institute in San Francisco reported in a pre-print manuscript. COVID-19 causes cardiac problems and up to 50% of patients, researchers wrote, but the mechanism was not clear. A growing body of evidence shows that COVID-19 can cause long-term heart problems, such as reports that athletes are suffering from COVID-19-related cardiac problems, note Scientific American. A German study found that 78% of recovered COVID-19 patients had cardiac involvement or inflammation, according to a report published in JAMA. While the JAMA paper has been amended, its main conclusions still hold. The Gladstone research sheds a possible new light on the subject, showing that in the lab, the virus left the fibers and cardiac muscle looking as if they were surgically sliced. The damage looked like, quote-unquote, carnage, said co-author Bruce Conklin, adding, quote, nothing that we see in the published literature is like this in terms of the exact cutting and precise dicing. We should think about this as not only a pulmonary disease, but also potentially a cardiac one, unquote, reports stat. To see our daily brief, go to the address in our show notes and follow us on Twitter at New America ISP. And tune in next Monday for our next episode.


How you guys doing? Excellent. Good. Ryan will be out, and Wiley will be out. Did not clear protocol. Get it out there. Let's go and lead off with it. Get it out there. Twitter fingers. Go! Go! Go! What's up? Ryan just didn't make enough progress, I guess, during the course of the week. Yeah. Again, we talked about those things. When you are injured, can you protect yourself? Can you do your job? Are you going to make it worse? Through the course of those questions, you know, didn't feel like he could reasonably protect himself at the position.  Same plan. You know, I made the same plan and, you know, not ready to really talk about that, but excited to watch both those guys play, really am.  I think that that's, you know, been the balance. Will being limited in training camp, just not being able to, you know, to get those reps in a couple of those games that we had talked about. And so, you know, we'll see both of those quarterbacks on Sunday. He'll be listed as questionable. He'll be listed as questionable. We'll know more as he comes in tomorrow and see how he feels and that may go off of the game and complicated from a learning or movement. Correct. Yeah. You know, Eric Garar has been working in there and, you know, feel comfortable that he'd be able to step in there and, you know, take advantage of his opportunity. Like we've seen guys over the years be able to do. So I think we have a plan for anything that happens in that particular position. How about that part return? How has the week been for Kyle and some of the other guys? Good. Good. Kyle's been good. And Eric would be a guy that could be back there potentially as well, too. And as far as Kieris Jackson is concerned, Kieris is still on IR. And so when we pull guys off IR and they return to play, well, the legal know, then you guys will know. Chris Moore kind of clear protocol. You did. I'm sorry. Yeah, I apologize. No, it's good. It is. It's a good process, you know, very positive process. Just through the return to play, practice, impact test, and then the independent doctor. So yes, he did. I apologize. How long did Kavan do during maybe the course of the week after joining a leg? Just trying to look at what their attitude is like, what their willingness is to want to play. I've talked about, Raul showed up, you know, played Sunday night, worked a little bit for us on Tuesday and gave me the opportunity just to, you know, say if you needed recovery. We didn't do a whole lot. But just came in and did some stuff and then Kavan's attitude has been good as well. Tana, it won't play where you're kind of encouraged by some of the progress for him in terms of, in terms of health.  So still pregnant. Yeah, still, still hurt.  Well, that's always, you know, it's a delicate situation. You know, it was one guy that, you know, just looking back to Ryan, when Ryan came in here and from his situation in Miami and, you know, Marcus was here. There's a, there's a starting quarterback. And so Ryan worked really hard. And also I saw a different Ryan when he got, you know, became the starter. You know, and so I think Will's try to do the same thing, Malik as well. And now that they have opportunities, you know, it's been good. I've seen the communication with, with these guys at practice and then talking through stuff on the field. How much can Ryan help be a, maybe an extra set of eyes on the sidelines Sunday for those guys as, you know, maybe throw to the guy, throw to the guy that's open. That's the advice I think is just he can be there and having been through a lot of games. I think that certainly helps, you know, maybe talk through some things. And if we're seeing some new things on third down, maybe he could certainly help there as well. You feel like Traylin, Traylin kind of built some confidence by what he's been able to do the last week in coming back. Well, that would be up there. Traylin, I'm not going to speak on his confidence. Yeah, I think he's ready to go and we need him, you know, we need him to go in there and be productive and make some plays. Kind of healthy. He's up for a basketball post game at your top. Um, yeah, he's not getting my throwback. He's not getting my throwback or their vest, but I'm sure our arts got plenty of jokes. We've never, Tyler and I have exchanged one text message since, since Saturday, which is about par for the course, but don't, don't hear much from him. Tyler will not be out there, but I don't anticipate him. But I mean, he may get caught up tomorrow. I don't anticipate it. Jen better be rooting for them for the damn Titans. I know that you'd better be, but we're going to have a problem. What's the difference? Do you hope that maybe a healthy tart can make it back in there? Well, I hope that we can just be disruptive and be productive and and hustle and run to the football and, you know, do all those things that defensive linemen are required to do and should do and can do. And so, yeah, so that can help us if he's doing those things. Overall this week, Mike, if you like, how guys have responded on the practice field given how the week started? Yeah, I mean, it's we all have a job to do. We have to come to work, prepare. Ultimately, we get one one test a week and that's Sunday. So we'll have to make sure that we're ready for the test and that we go out and and execute. You got a team of coach, obviously, but about one hundred and seventy former Titans, all yours going to be here this week. That turned into a pretty cool weekend. Are you glad to see so many guys coming? Well, I think it's great what what Amy does and, you know, how she invites everybody back. And again, I've talked to many of those other players and for so long, they didn't really have anybody or anything to associate with. I can remember even when I first got here, being going back to Houston and visiting with those guys at an event that she did and then seeing them here. And I guess you don't really realize that their team that they played for and, you know, competed for and one with no longer exists. So certainly unique when you try to put yourself in their position. Well, coach, could you discuss a couple of the Atlanta kids, Arden Key and Q D. You come with how they're putting in your team here. I'm Bill Andalette, the Atlanta general coach. Hi, what was the set? Who was the second guy? Oh, yeah, I'm on a first name basis with Chig.  I really like working with him.  And we have to, you know, continue to find ways to allow him to help us. And Arden has been great, great personality, great attitude. Again, just, you know, find a ways to have him affect the quarterback and see if we can turn football over. Or find D. Orlando's missing a practice right earlier in this training camp. That's right. Hey, what are you? 500 Gs for a stand on vacation. Tell him. Take. Not 500 Gs. No, 500. That's like, that's like, that's like one. That's like one share of FedEx stock. He brought in a big chat. Yeah, we paid it and he matched it. You know, at the Blake match to donated to the Civil Rights Museum down there. Nice. I'm going to, I'm going to start. I'm glad we find these guys. You talk regularly with Caleb. You're the top of the list. I see Caleb, I see Caleb every day. Yeah. Just kind of maybe any sense of how he's coming along with what you're going through so much. Again, it's, there's, there's, there's weakness, you know, I mean, it's kind of where he was when he was coming out. And with the calf. And so let's say he does some work and then it just kind of weakens up on him. And that's, that's, I know, frustrating for him. He's worked extremely hard and, you know, we talk about these nerves and at any point in time, it could kind of regenerate, but it's not from a lack of effort and not from a lack of work on his part. So it's good to see him. And again, his ability to stay positive through, through a lot of adversity has been something I think we all can appreciate and recognize. It's fun. I enjoy it. Two professional athletes that are trying to help us win games. You get trying to do your best every week. But when you got a young quarterback out here, you know, just the way for everybody to got to do more, be better than even in general, that's it. Just got to do your job. No matter who's out there, you know, I don't think it's more or less just do your job and I'll be there for those guys. You have more extensive conversation, but then during a practice week like this, because maybe there's more unfamiliarity, not having practice with them tomorrow. Tim Kelly does a great job of getting those guys ready on the whole offensive crew. So, you know, we go out and help those guys when our number's cold. What do you tell a guy like? You got two and four, obviously you need to like to shift pretty soon, how's the mentality in here? Well, you know, it's trying to win a game. You know, it's work week, can't look in the past. You know, I felt like everybody's looking, you know, forward to, you know, getting after the Falcons this week. And, you know, that's it. What do you talk about with a guy like Will, who's gonna be seeing his first NFL action on Sunday? And what kind of things can you try to do to help him, you know, get past the initial nerves and all? I don't think there's too much, you know, verbally that's gonna dictate what he does for me telling him. Take it upon yourself and talk to anybody in the organization saying either I want to stick around or not, vice versa. Are there any conversations in that we're going? I do my job when my number's cold. And I'm a Tennessee Titan. Although those lies with the trade of Kevin Byer, what are your thoughts on that? I know you came here to this team with the intentions of winning, obviously trading the team captain for a week and a half. KB, you know, he welcomed me with open arms when I first came in. It's football, it's a business. Nobody plays forever.  And that's just how it goes. That's football.  In the locker room being an offense, you look at it like, hey, man, we got to come together and make up for that loss in the other side of the ballpark. You know, we're professional athletes. And, you know, we go out and do our job and focus on what you have to do. But I don't think, you know, worrying about, you know, other people's jobs is going to help, necessarily help you do your job. So, you know, it's taking accountability and what we have to do. Were you surprised at all when you heard the news? What news? KB got traded. It's football. With your background in Houston, how excited are you to wear the oil uniform on Sunday? You know, I don't think it really necessarily matters to me what uniform I got on. I don't really care. I'm gonna go out and do my job. So, yeah. How do you think you're looking at it? How do I think I'll look? I really don't care what I have on. What color jersey, where it is, you know. So, trying to go out and win a game. That's what I'm worried about. Not a jersey. Did you and JJ express a fondness for those uniforms when you were Texans? Excuse me. Didn't you and JJ express a fondness for them? Didn't you post the Instagram of you in it at one point? I did. It's been kind of challenging. But, you know, I just stick to my roots. Know what I have to do. And just know that God's gonna do whatever to make sure that I am good. So, I don't too much sit there and dwell on it. I just do what I can. Was it connected to the injury that you had at 10? No, sir. You feel like you're as close to winning? Oh, yeah. I mean, I feel pretty good, man. And I'm just ready to see myself out there on Sunday. Any kind of ramp up to here? Say it again? Any kind of ramp up? Or do you feel the powerful speed as much as you? Um, I'm just, you know, I'm out there doing whatever I can to get to Sunday. After the first injury before the second injury, do you feel like you're getting better? No, sir. You feel like you're as close to winning? Oh, yeah. I mean, I feel pretty good, man. And I'm just ready to see myself out there on Sunday. After the first injury before the second injury, do you feel like you were at 100% for that time? Or was it still trying to work through some discomfort?  And, you know, so I'm going to give, I am where I am now. And, you know, I'm happy to be where I am. What's it been like trying to get acclimated to a new quarterback with Will and Malik? I mean, it hadn't been too much different because I've, I mean, I've thrown with those guys since they first got here. So it's just going out there and playing on Sunday and get a win. You don't have any control over it. But is it hard still when it's kind of gone and fits in stars, like, you know, you're healthy for several weeks and maybe miss a couple of them? That's part of it. You know, it is nothing that I can do about that. But just be thankful for what, you know, guys bless me with and just keep moving. Does anything change for you if there are multiple quarterbacks rotating out or is it the same thing? No, it's the same thing.


So what we're gonna do then is we'll do this as a practice test. I won't do every question sometimes I'll say are we okay on doing this and everybody nods their heads. I'll skip that question, but let's start here now Your test is gonna have a non calculator section. It's gonna be nine questions multiple choice Okay, what will they be? I bet you lots of log rule stuff in different bases where if you had your calculator You could just type it in but I'm gonna force you to evaluate it using log rules For example stuff like don't write this or you can write this down stuff like this for example evaluate the log base to That's not gonna work. Mr. Do it Evaluate the log base two of your different base. Let's try that again evaluate the log base five of 250 Minus the log base five of 10 that would be a good non-calc question as a choice question Because with a calculator you would go base change base change and just type in it. How would you do this by hand? What's subtracting two logs the same as? Yeah, this is really the log base five of 250 over 10 and what is 250 over 10 I Had expect you all to be able to divide by 10 without a calculator And so you're saying Alex this ends up being the log base five of 25 Oh, what is the log base five of 25 to that'd be a great example, although I'll probably also do some algebraic ones In fact, you know what I think it says here complete questions one to ten without a calculator. So let's try these How would you solve number one? Yes? What did I say? It's nine multiple choice questions. Okay? What it's gonna happen is I'll start out the test by saying everybody put your calculators on the ground You all will I'll hand out part one Nine questions. I'll say you should budget about 20 25 minutes Unfortunately, you're not gonna be able to go back and double-check your answers So make sure you double-check your answers before I give it to me when you're done part one You're gonna walk up here hand it to me. I'll give you part two and I'll say go pick up your calculator When you're done's part two, you'll come to me I'll stable part one on the top so that they're together and that's how it'll work. Okay, how would you solve this? First question I ask is where is the X is it an exponent? Then if it's in the log I always use if I know want to know both I Write this as an exponent What to the power of what equals what? X to the one half equals 10 Okay. Oh, oh, we also had a something that would let us get rid of exponential by the way Please don't write in these. Please don't write on these. Please don't write on these. Please don't write on these Please paper Thank you We had if we had a fractional exponent. We had a little trick. What was the trick for a fractional exponent? Trevor Both sides don't forget both sides Why is that so nice here? I get X equals 10 squared Trevor. What's the correct answer here? ABC or D? Thank you Okay, I did say I expect you to memorize certain exponents and by now you kind of get an idea what I meant by memorize You gotta be able to recognize number two I think this would be a little over. I this is great on the non calc except I don't know if I'd have three so this is a little bit tougher than you'll probably find which is good practice What number is that right there Emily? No, it's not. What number is that right there? It's not a nine. What number is that right there? It's not an 81 because this is non calc. What are all of those actually Emily? Threes okay, if it was on the calculator section, well, maybe I could log both log all three side You know what this is non calc. That means we're gonna do the old write it as are the bases the same That one basically something that I can equate the exponents, so I'm gonna write this 27 as a Three cubed To the 3n minus one Times I'm gonna write this one ninth, but three to the what? Negative two. Yes elevator. I'm gonna write this 81 is three to the fourth To the n plus two what am I gonna do with these two exponents here? Okay, so I'll get three to the four n plus eight What am I gonna do with these exponents right here still the same yeah also multiply them I'm gonna get three to the nine and minus three here. There isn't a power to a power so the times Three to the negative two drops down like a dominant It's so you look in a little puzzle is that okay so far enough because I can't write 27 as a nine It's nine times three, but that's not an exponent nine to what power equals 27 Right and and also by habit I almost always go to the smallest exponent by default anyways, but not yet nine Doesn't write 27 as an exponent. Is that okay now question for you What's that right there times What do I do with these exponents then? Yeah, this is why I Mean I kind of like this.  I'm gonna get this Three to the power up is gonna be nine n minus three plus negative two It's gonna be three to the power of nine and minus five. I think equals three To the four and plus eight But yes, do I have one base equals one base or my base is the same? Then I can equate the exponents my equation is actually going to be and I'm not saying the exponents cancel I'm saying look three to something equals three to something the something's got to be the same thing My equation is gonna be nine and minus five equals four and plus eight Now what more specific than solve for n because that's what we started doing right here actually More specific how here I would probably go Minus four and from both sides and it's all at the same time because I like to do two steps that once because I'm lazy I would plus five to both sides. I think I think I think and I'll get this Five and equals 13. It's all what is n equal to? What's the correct ABC or D? Okay There is going to be some kind of a common base solve exponential equation on the non-calc section of your test. I Just don't think it'll have three terms So oh This is an if then question You know how I know because I see the word if now they've worded this backwards from the way I worded to you I always said if this then this but this is the them Okay Let's see what we can do here. What's my base in the if Emily M. What's my base in the if and the base is M. Really? And what's my base in the then? M M. Yes, it is. So am I gonna use base change? No, so my next second strategy is yep No, sorry. What? Here's what I said you always want to change the then so if you phrase this as if something then what would you not Say if this then what's that always focus on the then not the if I'm gonna be mucking around with this thing Okay, but I started out because I'm trying I'm trying Brett to turn this into this first thing I always check is are my bases the same because if they weren't that's screaming out to me Hey, try changing the base of this into that But they're both what M Base what M? Okay. Now Brett I have one term I'll try breaking it apart if I have more than one log. I try combining it So I have an n squared divided by M. How do I break that apart? What's dividing two things inside the same log the same as? This is gonna be the log base M of n squared Minus the log base M of M. Oh This I like what is the log base M of M? This is gonna be something minus one any suggestions here. Yeah, why not so that would give me two log base M of n oh That's handy because what did they tell me in my if statement that I can replace every log base M of n with a what? Apparently this here is a six So this is really two times six minus one and I think that's fair game to expect you to do without a calculator What's the correct answer here, I think it's be although my one has been chopped off. I'm pretty sure it's be Is that where the whole punch is or something like that? Okay Number four Now this is also sort of an if then question except all they've given me as an if They haven't given me a then to work with instead. They've said write an expression for what? Write an expression for what? Means get the a by itself Okay Hmm Well the a is here before I get the a by itself.  I'll get this negative log a equals log b minus five log c Minus one. I want to get the log a by itself. What's right there? Shannon Shannon You know what? positive negative positive divide everything by negative one that okay so far Brett What are we trying to get by itself? I? Think I should try and write this as one term now. Here's the problem That's a log That's a log What's that? More specific More specific a number what? Okay, you ready scene one act one and take two. That's a log. That's a log. What's that? No, it's not and I that's why I wanted you to say that I sorry it is But I don't see that you know what I see Isn't that a one? Because I want logs and everything to combine things don't I I'm gonna rewrite this the log a is gonna drop down negative log b Plus and I'm gonna move the exponent up there because we said we want if we're gonna combine things We don't want coefficients. We want them as exponents and I'm gonna say yes That's the one but you know what I can write any number. I want to as a log What if it had been a two? It's a log of a hundred Seeing as we're based 10 if it been a different base, I would have put a different number whatever the base number there was Okay Now I can combine this log a equals Are these all three the same base? Yeah, do I have any coefficients in front? Nope, and then when I combine this I gave you an easy way to remember if it was complicated. I'd said positives on top negatives on the This is going to be the log of There's gonna be a C to the fifth on top There's gonna be a 10 on the top can I put it in front because that's where we're used to seeing it And there's gonna be a B on the bottom Is that okay trap? Okay You know what I have now One log equals one log Yep, where here? Here Where'd it go right there? Positives on the top negatives on the bottom. I elevated it buddy. I elevated it Is that all right By the way, Alex, do I have one log equals one log then the log can't okay?  Do it. They cancel My next step I can say look if I have the log of something equals the log of something the something has to equal The something by the way, what did we say this question wanted us to get by itself? Ta-da Now let me paw about correct answer is a Did I do anything new there? I tried to tell you how my brain would approach this I said well if they want the a by itself. Let's get the log a by itself Move the one over how as a plus sign in front of it minus it move the negative over how divide everything by negative one Then I said well since I have a single log over here. I'd like a single log over here Hey, I can write a one as a log. That's a handy trick by the way You can also write a two as a log or a three as a log and write any number as a log if you need to Combine my law move the Coefficients back up to exponents and then negatives on top buzz out of the bottom. There you go That's a tricky question number five which of the following is equivalent to that I Glance at my answers. I think it's obvious. They want me to combine the logs You know how I know How many logs do I have here? How many do I have in all my answers? Yeah, are we learning hopefully on multiple choice to glance at the answers for hints because it really helps especially math Okay, I'm gonna use my log rules. Oh What's dividing by two really the same as multiplying by I When I see that I also automatically see this Now why is that nice? What can I do with that one half by thinking of that too as a one half like that? What can I do with that one half? Amanda Because if I'm gonna combine them I need to make them exponents again. I can rewrite this as the log of a to the one half plus The log of B to the one half. What's my base here? What's my base here? That doesn't look like the word log very good. Let's try that again there look like a move base 10 base 10 Do I have any coefficients anymore that I can combine these what's adding two logs the same as I don't see that yet? Oh, oh, well, mr. Dukes says start using your exponent your log rules until you do see the answer What do you see in two of your answers here? Amanda square root. Oh, what's one half as an exponent the same as? Oh, so you're saying this is rude a root B Now the real question then the real question here M is What does that simplify to does rude a root B simplify to root a times B root a plus B? Can I say those are wrong? I'm pretty sure Yes, is root a times root B root a B now this is math 10. They're sneaking it in How do you multiply square roots? If I gave you this Three root six times five root 10 How do you multiply square roots? The answer is it's numbers by numbers Roots by roots and That's actually how I remember it's numbers by numbers roots by roots if there were no numbers there it's roots by roots six times 10 is 60 It is a times B. It is That because how do you write times something? Don't you just write them side by side? root six times root 10 is root 60 root a times root B is root a B Sure Yes, but the real question is okay. What about it with exponents the fact that the only reason we can do that and Multiply and go further is because the exponents are identical if it's a bit of two-thirds and a one-half We're stuck with eight of the two-thirds times B to the one-half We can't take it any further you can't multiply cube roots by square roots or fifth roots by fourth roots There's no easy way to do that Number six says which of the following does not have the same asymptote as that. Okay. Here's an asymptote question What does every first of all is this an exponential graph or a log graph? Exponential all of you Hopefully by now it's ingrained. What does every single exponential graph look like all of you?  The real question is what does it have as its asymptote originally? The y-axis sorry the x-axis mr. Which as an equation is what so any exponential function Asymptote is the x Axis what's the equation whoever said greater than that's a domain or a range? I want the equation of the x-axis Okay, and seeing as there's this is one you hint hint wink wink nudge nudge. I like this question I'm gonna ask you about asymptotes almost certainly It's original asymptote the equation of the x-axis is a line zero high and On a graph. What's another word for height? Why? That's the equation of the x-axis. That's your normal exponential graph How has this graph been moved? Okay, which of the following does not have the same asymptote as that? What's the asymptote of this graph? Is it an exponential graph? How do you know? Where is the x-sitting? So is it an exponential graph? How has it been moved? It's got the same asymptote and they want the one that doesn't have the same asymptote Is this an exponential graph? How do you know? Where is the x-sitting? So is it an exponential graph? How has it been moved one left and? Will one left change this at all It has the same asymptote Okay, now These two here you'll notice they switch the x and y around These are inverses of each other. I'm not going to ask you one this tough. I don't mind talking about it right now I would have given you two more exponential graphs to pick from instead of giving you But anyways What did you say this had been moved? Alex Which one of these has also been moved five down? Which one has to have a different asymptote then? This has been moved five up I don't like this part where they instead of having a y there in an x they've given you an exponential graph in logarithmic form Do that forget it. I'm not going to give you one that yucky But I would say I expect to be able to give you this and say tell me the asymptote You know what I'd have for my answers x equals five x equals negative five y equals five y equals negative five Or If I gave you something like this x equals negative one x equals positive one x y equals negative five y equals positive five That's a more realistic. Hey, there's four multiple choice ones to pick from number seven Find the x intercept of that graph there Look up I'm not going to worry about x and y intercepts. Although you should be able to find them. That's math 10 However, I will feel comfortable asking you a domain question number eight Ah, nothing I got Brett back there. She's having trouble you're gonna make it because she's actually doing this trev log question or exponential equation Okay Domain what can't I take the log of? there are technically two things or The one you guys always forget zero. Okay, and what we are saying let's reverse that what must I take the log of What's inside the log? What's inside the log? What's inside the log? Has to be bigger than zero positive Amanda what? I think you were right Oh, well get what what I do now Plus the 10 over Then divide by five Okay, you we initially found the domain by actually graphing these By saying hey, this is base 10 So it's going to be uh one 10 to 100 and we found the inverse and then we did our slides But what there is a shorter way if all you're interested in is the domain You simply say what's inside the log has to be bigger than zero done I'll email this out as a pdf as well. I think okay uh Yeah, I will It's copy right, but this company's not going to publish these anymore after this year That's fine number nine Turn the page Did I circle it correct? Yeah, okay Now number nine Although they've done this as a multiple choice I'll probably give you a question like this as a written. This is a log equation You know how I know it's a log equation because there's an equal sign with logs See it This question isn't actually asking you to solve It's saying When you simplify what equation will you end up with? Okay What do we say our strategy was when we're dealing with the logarithmic equation? What do we want to write this as? one thing I'm going to say one thing equals one thing either one log equals one log logs cancel or one log equals one thing I'm going to combine the left hand side because the right hand side is one thing to three Yes, uh I can't combine them yet. Although subtracting does mean divide. That's a problem Although what can I do with that two? Are my bases the same? Yep. I can write this as the log base two of N plus one on the top positives on top Negatives on the bottom and the three drops down Now it's so if I had log base two equals log base two then the logs would cancel Do I have one log equals one log? No. Where is my end sitting? Inside a if I know one or both Right that was our strategy. Basically if it's an exponent log both sides If it's inside the log either in the base or in here if I know one or no both I'm going to write this as an exponent What to the power of what equals what? What's the correct answer? Which of the following equations will result? Ah, you can see what they're trying to trick us with right? They're wondering which kids cancel the logs Because they would just keep a three there That's wrong. That's wrong And oh, they're saying some people will actually multiply the two instead of moving it as an exponent. They'll like foil it or something like that That's wrong Hey, is that okay? Now for the record if you did have this hint hint wink wink nudge nudge What would you do now to solve this? fast, okay cross multiply foil this out Get a quadratic and probably a fairly ugly one I'm not going to give you one this ugly But I am going to actually expect you to be able to handle something with ends on top ends on the bottom Or x is on top x is on the bottom and a number over here. You better not freeze up cross multiply I've done my big song and dance about it, right? This would probably be a this this will be a written question. No I'll give you a log equation on the written fact. I'm going to give you two count them two log equations on the written section One will probably end up with a quadratic Cool one won't What else did you have to remember when you were solving log equations? Someone's date Right I have to check for extraneous roots Okay, number 10 two students solved this using different methods Their work is shown below Whose solution is correct? I guess what I'm really doing is looking to see if anybody made a mistake So let's follow jen's first Again, I'm not going to give you one like this. This is too much typing. I'm too lazy for a multiple choice question But this is good practice Where'd the fours come from? Sorry. Oh, I thought you're right. Where'd the fours come from? Okay, is that correct is 16 four squared and is 64 4 q. What would you do with these exponents? Okay Is that right? why In fact, they didn't go two times three. What were that eight they went two to the third didn't they? So that's the mistake. So jen's is wrong Which means it ain't both Internet jens It's either bobs or no ones now. Let's look at bobs method Bob didn't rewrite this as an exponent. What did he choose to use instead? Log both sides. Yes Now what can you do move that to the front? Now what can you do Move it to the front. You can't cancel the log Whoever's saying cancel the log. No never. Uh, I gotta give you zero if you start doing that Okay Is this correct? Yes, it is Is this correct? It's a what? Brackets binomial. It should be this should be in brackets because you can see on the next line all of a sudden instead of Multiplying the log and expanding it. I don't know. He's got an extra I don't know what the heck happened here. That's a mistake. You know what neither is right Jan is that okay? Okay, that gives you a few ideas of ways they can ask non-calc type questions Okay, I'm definitely going to ask you to simplify some logs I will on your non-calc give you a word problem or two either exponential growth Half-life base e Compound interest Richter scale and instead of having you solve it I may just say which of the following four equations is the correct equation In other words, can I test have you memorized that a equals a zero c the t or you can use it That's a nice way for me to test. Can you even fill a stuff in before solving it? um Definitely going to be an if then question on the non-calc section um That's about it Then we get to the calc section Okay Don't freak out about 11 Number 12. I'm not going to say don't freak out about in that there is part of this that's useful You know how I would solve this On the calculator section Look at your answers. Do any of them work out evenly? If they're decimals that's a hint that you're supposed to graph this y1 graph this y2 And find the point of intersection where they cross I am not going to ask you that on the test But did I teach you how to check your answers on the written section for exponential equations using that method? Well, then that's handy but No 13 is good though Which of the following is equivalent to that? What don't you see in any one of your answers? Okay So apparently there's some way to make the logs vanish Suggestions Let's try moving the exponent to the front You know what I wonder Vlad I wonder if the log base 8 of 512 actually works out evenly evaluate that on your calculator Which is why this is on the calc section And I didn't have you memorize 8 to what power equals 512 which is why it's on the calc section Now how do you evaluate log base 8 of 512? What do you type in? Anyone log 512 closed bracket divided by Log 8 closed bracket. What is The log base 8 of 512 is it 3? What's that simplify to and don't you dare say 7m? 12m Too often too often Man that we do the tough stuff and we're so thrilled with being done the hard part our brain relaxes You'd be amazed how often when I mark someone's test especially in physics the mistake is made on the last line And it's a dumb one right because they've got all the hard stuff. Ah, I'm home free. I like number 14.  I know you're looking up and copying it, but it's right in front of you Just be thinking is that right Since this was on the calculator section Brett although I know 16 to the one quarter is the 4 through to 16 Which is to I forget it. I'm like, you know what it's this on the calc section Do I want to save time? Do I want to make sure I don't make a dumb mistake as soon as I got to here? I just type that into my calculator as is 20 to the third times 10 divided by 16 to the power of oh There's more than one number in the exponent one over four. I better make that a fraction uh brackets You look in the funnel bretter. Is that okay? Oh, would you like to borrow a graphing calculator for the duration of this tutorial? Oh, yes your batteries girl, aren't you? I'll give you my silver so you won't accidentally walk off with it If you don't get batteries this weekend bring your graphing calculator to the test and I'll be willing to swap But I'll also make fun of you. I don't think it goes in that way get him There you go Is that all right? Joel, okay now I would have no problem if these numbers it's all we're smaller This would be a great non-calc question too except I'm not expecting you to be able to do 20 to the third power in your head But is it fair game for me to expect you to do 10 in your head? Yeah, I'm multiplying by 10. Is it fair game for me to expect you to go four through the 16? I think so Where'd the fourth root come from trevor one quarter exponent is fourth root, okay? number 15 suggestions here I'm not gonna panic apparently they think I can handle this Emily, what's your base here? Can you say it with authority like you know what's your base here? What's your base here? It's not a 64. What's your base here? For what's your base here? So 64 is what really? First thing I think I would do is I would say I'm gonna do that I'm gonna do this Because Vlad you know what I can do now Do I have one base equals one base? Yes. Are my bases the same? And you know what I can do with those exponents Wait them now. How did I spot that? You want to be alert? I mean if they give you a four and a 64 that should hopefully by now Kind of be screaming out at you a little bit or if they give you a five and a 25 Or a three and a nine, but I'm not in the 27 There should be some screaming out at you Okay for me Then you can't solve this The way we're going so you'd have to go graphing calculator or something But do you notice your answers aren't decimals? That's why I figured we'd probably do both this by hand because now what's the actual equation we're going to solve this? The log base two of x minus the log base two of five equals three there's equating my exponents Now this is a log equation. I want to write this as one thing equals one thing Are my bases the same here? What's subtracting the same as? Oh, so this is the same as the log base two of x over five Joel did logs cancel? Really? I can just go like this Really? Why not because to do that what what I need over here? But where is my x sitting location wise is it an exponent? Where is it then? In Okay, we have two strategies That's an exponent log both sides if it's inside the log if I don't want to know both Right So what to the what equals what? x over five equals two to the third How would I get the x by the way two to the third is what? Eight not six right eight. Um, how would I get the x by itself? What's the five doing right now? Dividing so I want to move it over You know what I think x is going to be five times Eight I'm going to say that would be fair game as a nasty non-calc I'm not saying at it, but I'm just trying to give you an idea of what I consider easy what I consider tough What I consider technically you don't need the technology for what do I say you do need technology for turn the page Brett here's another if then question You know how I can tell if Except once again the author of this has phrased it different from the way I do the if is the log base nine of x equals five The then is the mess I'm going to work with This boy Something is screaming out to me right now just hollering at me with all of its might right now. There's something just shouting to me What am I going to try Why base change Base what? three base what? And are three and nine nicely related though. Ah, so good stuff's going to happen I'm going to rewrite the then as base nine It's going to look like this log base nine log base nine x over 729 three That's the base change law right? Your original base is in the bottom Your original log is on the top and it's the new base and the new base Ah, just thought of a dumb way to remember your original base goes to the basement. Ah, I'll use that No, never mind. I'm not teaching that well next year. Okay Thought of a great way the final time I'm teaching this wow Where was that for the last 10 years the base goes to the basement that's brilliant mr.  Now is this calculator section or not? Yeah Then what's that? Can you type? I don't think it's three. What is the log base nine? What is it? By the way, I could try and do this all by hand if it was non calc I would I guess I would but are we on the calc? Let's turn our brain off and It's going to be log three over log nine. I think 0.5. Yes. Yes. Yes. Yes. Yes. Okay What can I do with this? Separate it, you know why because I think that's going to give me a log base nine of x Which I can replace with up. Okay, so if I separate this I'm going to get this the log Base nine of x minus y minus dividing but right is a log Base nine of seven hundred and twenty nine And I know that I can replace that with a five Here's a point five What's this? Is this non calc? No. Well then what's this? Evaluate it. What is it log base nine of seven hundred and twenty nine? I think four Three really? Oh, yeah, because nine squared is 81 81 times 10 Is 810 81 times nine to be close to 800. Sure Okay Now again, you know what I'll say if these exponents were smaller I would feel comfy with this as a nasty non calc, but it's on the calc section What's five take away three? divided by 0.5 What was that? I said for graphing. I'm going to ask you either an asymptote or a domain range Number 10 to me is partly fair game. First of all, I glanced at the answers. What do all the answers have in common? Decimals, you know what if I give you this it'll kind of be on the written What type of an equation is this? It's a log equation You know how I know because there's x's inside the logs What don't I like about this? Because there is something I don't like about this. What do I have over here? Logs and You know first thing I would do I would rewrite this get all my logs to the same side and all my other stuff to the other side I'm going to plus this Over there and I'm going to minus this over there at the same time. I'm going to rewrite this as two log base six of x minus log base six of x plus three Equals one because doesn't that look a little bit nicer like what we often saw? What's my strategy now? Sorry, I think you're right, but I couldn't hear you. Did you say something about a two? Yeah, uh-huh Because I want to combine these but I can't right now So I would say move that there I'll have the log base six of x squared minus the log base six of x plus three Equals uno Now what you know what I'm going to need more room now what? Sorry Yeah, this is going to be the log base six of there'd be an x on top squared sorry an x plus three on the bottom It equals one Joel do the logs cancel Which one think carefully before you answer? No, if they did cancel what would I need over on the right hand side? And I don't oh, but where is the x sitting Joel? If I know one I know both What to the y equals oh, I think it's going to be Six to the one equals x squared over x plus three To me this is yeah okay now This is all great to me so far I have a feeling though that the quadratic that we're going to get Doesn't factor and requires the quadratic formula. That's overkill to me on your test though I think this would be a great question if I made this so that it factored And then you had to check for extraneous roots and either they both worked or one worked or none worked Right one date two dates, you know dates So the rest of this I'm actually going to pause and say What do you think qf stands for? Quadratic formula. I'm you know what I'm not testing that Okay, but you would cross multiply And you would get x squared equals six x Plus 18. I'm pretty sure if you bring it over you have a negative 18 numbers that multiply the negative 18 and add to negative. Yeah, nothing works. It's going to be yucky desmos. Where are we going? My gut right now is about another half hour ish, and then I'll do specific questions. Okay, is this helping? I hope I hope I hope okay. This is a nice way to do sort of the whole unit similar to the review quiz that we did $500 investment appreciates at 50 appreciate means increases At 15% random compounded quarterly That's a trigger phrase for me that tells me an awful lot Find the value of the investment after eight years, you know, I'm gonna do first What kind of a question is this compound interest? How did we handle these? Sorry, yeah, I'm gonna write this out because now I feel better. What are they asking me to find here? Right, what are they asking me to find here? More specific, what are they asking me to find here? You know what then this is going to be straight plug and chug no law because a is already on ground level Yeah, that's me to find final amount. That means I should be able to figure out everything else What's a zero here? Oh, okay. That's right. We'll do a little defect right a zero 500 do I have one of you for physics? No, I don't have you I Explained her what defect means on the day Defix stands for list your data find a formula insert the numbers crunch the answer It's a strategy for physics. What does dolp stand for Emily? Draw a little picture went in doubt defect and dope I stole that from a t-trip.  It's going to be one plus Point one Five No, it's not Amanda over four Why over four? According Okay, so it's compound interest what I said and you guys kind of zoned out Appreciates means increases I said How do you know how do you know it's going to be a one minus decreases? Five fifteen percent would be whatever. Okay. I can't do that for compound interest though because compound interest doesn't decrease It always gets bigger Banks don't like to loan you and money and lose money Yeah, what do you mean by they you got to be very careful here The compound interest questions will always be one plus. Okay I can give you a population percentage question where it's one minus because the population can decrease Or I can give you a car value question where it's going to be one minus because cars go down in value sadly dramatically Is that a compound interest? okay Can I keep on? What's t eight What's p? I think the final amount Is going to equal 500 bracket one plus point one five over four To the power of eight over Point two five or eight over one quarter or dividing by one quarter is the same as multiplying by what? You know what eight times four that's actually going to work out to a 32 if you really yep. I don't know. Why did I? compound interest Okay, so I'll jog your memory. Are you ready? What's the interest rate for a whole year? What's the question say? What's the interest rate for a whole year? If it's 15 for a whole year and it's compounded quarterly, what's the interest rate for one quarter of a year? Divide by four. What if it had been compounded monthly? What if they'd compounded semi-annually divide by? What about weekly divide by 52? What about daily divide by 365? What I think that's all It's quarterly semi-annually monthly Sometimes daily sometimes weekly but not very often Okay, so it's divide to adjust the interest rate and the period is also a fraction It's going to be 500 bracket one plus point one five over four close bracket to the power of 32 eight over one quarter 1624 dollars and one That much How much was the interest? Well, if we started with 500 bucks and we ended up with that the interest was $1100 and 20 That minus 500 is the interest, right? Turn the page Okay So I said that we did we spent one day looking at logarithmic scales There was Richter scale Ph and decibels Decibels I like because I think most of you listen to music and listen to sound So nerdily I like it, but I'm not going to ask it on the test decibels was a bit tricky because it was decibels It was I get to divide by 10 Ph to me is sort of fair game. I'm not going to ask it on your test But ph and Richter scale were the same thing It was always going to be 10 to the power of the bigger number minus the smaller number Equals how many times more? What is 10 take away eight ph of 10 th of it, sorry You know what you with me am you are now Okay, and I think I've told you it's going to be Richter scale on your test 10 to the power of the bigger one minus the smaller one equals how many times stronger and I think I told you I'm almost certainly going to ask you to find one of those because that needs logs So I'll tell you how many times stronger the earthquake was Is that okay here 10 squared 200 in fact this I would argue could be on a non-calc section very easily I'm going to assume all of you can go 10 take away eight get it to and 10 squared. Yes For the purposes of what the questions that I'll give you because remember I went on a bit of a rant on some of the questions I said I thought they were poorly worded So I'm going to go with you know, what's bigger minus smaller is how many times stronger Is that what you're asking me Yo Because I'm stupid The caffeine's wearing off I think happy thoughts of faith and trust You can fly you can fly okay, but there's no place like home. There's no place, but I'm stuck here.  Okay Number 21 is a nice twist. It's an exponential growth But instead they're asking you to find don't write this down actually They're giving you everything but that Here's a base e question You know how I can tell at a glance that it's a base e question Okay, and I said to you if it's a base e question I'll either always give you the template or the whole equation I think in this case they gave you the whole equation. They gave you k is negative point zero two Oh, and they gave you hey, what's that? When what's that six nine six three zero initial amount, okay Um says in what year will its value drop below 3500? What are they asking you to find here? T What's this then? Now what did you say minus?  Did you of course not? Uh, let's see 3500 divided by six nine three zero I'll probably go 50505 because I don't want to round off because when you round off with exponents Your round off errors increase exponentially in 50505. I can remember pretty easy So I get 0.50505 equals e to the negative point 0 to 82 t. How does that help now what? Uh ln both sides right I even left a little space in front so I could fit that in because I'm running out of room Uh I'll get ln of point five oh five oh five equals negative point zero two eight two t ln of e And the reason that's so nice it's still is the ln of e is one. So how would I get the t by itself? Is that minus I gotta divide you're right t equals ln of point five oh five oh five divided by negative point zero two eight two ln of that answer divided by negative point zero two eight two And I get 24.22 and I go What year did this start in? So what am I going to have to do with that number? Okay, okay fair enough plus 1998 during the year 2022 The value will drop below 3500 bucks I don't like that extra step because I'm too concerned some of them make a dumb mistake here So I'll probably start at year zero or just ask how many years until But otherwise that's a nice base e exponential growth question Is that okay? You guys doing good? Not getting spinny on me? Sure. Okay Number 23 What kind of a question? Well, this is I think an exponential growth. They change the letters a bit first of all. What's my base? two Where a is the final amount a zero's initial amount t is the time and oh instead of p. They're using d for the doubling period okay It doubles every 7.5 years. I think that's d How long I think they're asking me to find t What's the five? I'm afraid to leave here be with me. I'm tired too, but I'm sucking it up. What's the five? What's the final? Okay I'm going to not bother doing this because I'm sure there's going to be one in the written I would give this to you actually as a written question and I would say it doubles I wouldn't actually give you this I would expect you to know that look for me. I would say it doubles every 7.5 years If the starting amount was five dollars and the how long until it gets to be worth a thousand dollars So that's fair game, but I'm just not going to do it It can be written Oh, here's a Richter scale question okay Says the Richter scale is used blah blah blah blah blah blah blah blah An earthquake of a magnitude of five Is 50 times more intense than one of its aftershocks determine the magnitude of the aftershock Is this the strongest earthquake or is this the weaker earthquake reading this sentence carefully To the bigger minus smaller equals how many times stronger? That's the equation you're going to solve How will you solve it? Log both sides.  So let me ask you the game because it wasn't a yes or no question. Are you guys okay in solving this? Or would you prefer me to do this? No, okay, thank you. That's good And number 25, I'll just get the equation for this is an exponential growth question. Okay Uh You know what? Forget that That's yucky Written what am I going to ask on your written? I've tried to give you some hints like there's going to be an exponential growth word problem on your written There's going to be a Richter scale on your written So in fact, there's going to be a couple of exponential growth word problems probably one increasing probably one decreasing Oh, no, no, no, no I said to you one a half life for sure and then one with a per population increasing or decreasing Okay, it's gonna be an if then on your written Okay, I think after that it's going to be an exponential question like this with x's as exponents Except not this tough because this has got a quadratic See how you're gonna get an x squared when I multiply these together and this actually is a two and a two So I'm not gonna let me just look if I got a ah So not like this Something like this Where you have to take the log of both sides Uh, how many logs do I how many x's do I have to get on the same side? It'd be wonderful. There's some kind of a grade nine mathematical operation where but okay could be one of those And then there's going to be two count them two log equations Something like that So let's do these last few here This is an exponential equation. What's my base here? What's my base here? Can I write a five as a two? That's why I got to use logs Comparing that with the one that I scribbled out or a base as a two and the 32 is also a two I could have done this one without using logarithms here We're going to use logarithms now. What makes this question a little bit tougher is there's a coefficient Easier is no coefficient So this will be about as tough as I'll throw at you This is where I said no shortcuts because easy to make a sloppy mistake And I have a feeling we're probably going to end up using two columns So I'm going to write over here first and then move over here because I'm going to do this in about eight lines What am I going to do first? What can't I do with this five and this six? Can't make it a 30 And unfortunately if you do that I I think I capped this This is probably going to be worth And I'll probably cap it at one Because that's just uh What will I do then? Where's the x sitting? So this question should be obvious. What will I do now then? Log both sides now going on from there is a tricky part, but for starters, I'm going to say, okay Log of two to the three n equals the log of five times six to the n plus four The most common mistake with these ladders people now move the exponent to the front on this side Why is that technically wrong? In fact, not technically completely absolutely positively wrong If you move this exponent to the front, what are you actually saying? Replies to the five and does it apply to the five? No, no What are we going to have to do then break this up? How? What's happening between the five and the bracket? My next line I'm just going to drop this guy down not taking any shortcuts Now what now move the exponents to the front What am I going to have to make sure of with this exponent by the way it's all brackets Guarantee you some kids won't on monday and they'll do the error that we saw in the one right. Oh Kills me Shannon question or it's a question to log Here and log six plus four you could I I am so worried about making dumb mistakes here I don't do shortcuts on these ones.  And you you have me last year in physics. Am I usually fond of doing stuff in my head and taking shortcuts? so I think am I not like in physics don't I do it in your head My my hint for you is then is hey do it because going all ballistic about not taking shortcuts Probably has a lot of experience with kids making sloppy mistakes on this and has a good reason to ready Three and log two Equals log five and yes now I would go and log six Plus four log six by going like that. How many ends do I have to? Get them the same side Easiest is going to be minus that over three and log two minus log six Equals log five plus four log six Double check to make sure I didn't make a sloppy mistake I forgot to am My subconscious was bugging me by the way guys like I stopped and said that because Something was bugging me My brain works weird Really? We hadn't noticed mr. Do it. How many ends do I have? How many would I prefer? It'll be wonderful if there was some kind of a grade nine mathematical operation that Okay, so I'm hoping me using those same phrases has given you a trigger so that when you ask the question I got two ends. What do I do? Oh, we want to I'm hoping that pops into your head So I'm going to get this and bracket three log two minus log six equals log five plus four log six Last sorry second last step. The last step is being able to calculate this Updating your status Okay, now what? Hey, all of you Dual included You want to practice trying to type that into your calculator to see if you can get the right answer? I'm going to freeze the screen so you guys can't see me Answer accurate to at least two decimal places Let me double check my math to see Log five plus four log six And it's typed in right Don't do that So hey folks You need to figure out what you're typing wrong then because silliness would be to do all the hard stuff And not be able to use your calculator properly and lose marks for that Found it. Okay, do it. I've typed this in three times and I've gotten three different answers. What do I do now? Move on to the next question, but You've finished the test You come back to this question You go y equals you clear whatever you have there You graph the left side two to the power of bracket three x As y one You graph the right side five times six to the power of bracket x plus four As y two you hit graph Uh-oh small problem What's my answer? You know what? I better change my x max to 40 Otherwise the answer won't appear on my screen if x is 30 Okay, I'll do that I'll go work on the next question while my calculator is thinking then Second function calculate intersection first curve second curve guess Am I right am I right am I right am I right? Seriously, I mean this is going to be worth four marks out of 40 For 42 ish That means that one question basically 10 percent of your test So what you're really saying is I just got perfect on one tenth of my test for sure That is worth growing your triumph a little bit Okay, sure.   I'll even be more specific There's going to be one log equation like this with logs in everything And there's going to be one log equation where there isn't a log over here And you have to say how do I get the x by itself because the logs don't cancel? Oh, if I know want to know both Which we've already done a few of in in this test What's my strategy when I'm solving a logarithmic equation? I want to write it as one thing equals one thing double check though quickly alex or my bases all four Oh, then I can combine these The right side is already one thing. So I'll just drop it down The left side alex. What's adding two logs the same as So this is going to be the log base four of joel. Be ready Come on one's coming to be ready Joel Can I cancel out the logs here? Yes, why?  Do it. Yeah, okay for all intents and purposes. We're saying I'm not going to do that because that's just a fence. It's technically wrong The next line though is this six minus x five minus two x Equals 60 Now what? Well, it's not factor factor is when you're bringing foil Front door bomber. You had Mr. Rocket clearly Uh 30 minus 2x minus 5x Plus 2x squared Sorry, what? Thank you gather like terms 2x squared minus 17x Plus 30 Equals 60 What kind of an equation is this? How do I know? Make it equal to zero i'll minus 60 from both sides In fact, I'll get 2x squared minus 17x minus 30 Equals zero There you go. I knew I could get you You're still not nowhere near my best Hailey fiddler two years ago was pretty good I had a student about five years ago named kevin Who was chronically sleeping because he was an esl student who was always Emailing us and talking to his friends all night So he like he fell asleep several times during tests and I had to shake him to wake him up He sat right where joel is right now And when I did my tarzan yell He would jump so badly twice out of the chair onto the floor He hated the transformations alarm bell He was not Oh, I don't like alarm bell. Mr. Dewick Well, that's a shame I don't like that. You're staying up all night now This factors these are the yucky ones to factor because of that How do you factor those you may have learned the box method? You may have learned factoring by grouping that's grouping joel not groping. Um, you may Do you guys know how to factor these? okay I'll give you a method because there's like five Okay Goes like this and you might want to jot this down and write down the quadratic somewhere. I think this factors for me I don't know. What did I say at the beginning of this tutorial? Okay, who knows how to factor What do you do? Can you tell me? okay That's enough for me to know which method I'll show so that also I'm not giving people who already know how to do something a new method that they might say Oh, I'll try that and then they get you know, okay Shannon here's what you do You find two numbers that multiply to negative 60 And add to negative 17 What are two numbers that multiply to negative 60 and add to negative 17? Well, let's see what multiplies to 60 first of all 10 and 6 I can't really get a 17 out of there. What else multiplies to 60? one and three Oh 20 and 20 Amanda 20 and three And what is 20 take away three? Can I get a 17 out of a 20 and three? Okay, so it's almost the same as when you had nothing here where you asked what multiplies to that and adds to that Yes, I'm here. It's what multiplies to those And adds to this. What are the numbers? So here's what you do you rewrite the 2x squared You rewrite the minus 30 But you take this negative 17 and you break it up into a negative 20x Plus a 3x That's what you do Okay Is that still technically a negative 17x? Okay Then what you do is you're going to do factoring by grouping not groping dual grouping Okay, what you're going to do is you're going to factor a gcf only out of the first two terms So temporarily ignore those GCf to 2x Watch and watch and left behind is going to be an x minus what? then Ignore these two factor in gcf out of those positive or negative Yeah, you're I just want you to say it Which reminds me to put a plus sign there. That's what positive three Full pull a three out of here. What do you get? Pull a three out of here. What do you get? You know how you've guessed right look at the two brackets. They are what? That's how you know you've guessed right. Okay, we're almost done. There is another gcf now There is something that appears in this and this the bracket What bracket appears in this term and in this term? What bracket appears in this term and in this term? It's now a gcf if I factor out an x minus 10 You know how I've left behind That's called the grouping method called grouping because you group them into tubes into pairs And I always do the groping jokes, you know, whatever stupid thing I can do to help you guys remember That's probably the second best method to do this Best method when I taught math 10 I used to give my kids a hundred of these And partway through their brain would hardwire a subconscious circuit and suddenly they would just start Seeing the answer. That's the best way, but it literally I would actually give them a hundred of them It was painful, but all of a sudden you'd say partway through Mr. Doock. I'm just looking at these and I'm seeing the answer. Yeah Your brain was doing it subconscious this whole process very quickly subconsciously our brain's a remarkable remarkable instrument You okay with that? What are the roots? That's only the phone call Hello, hello Oh, please. Hello. What's the answer? Put a 10 in there. What do you get? reject What about here?  That's got to be positive What's a minus minus the same as I'm going to five plus something positive. I don't even care what the answer is. You know what? There is a date, but only one This is overkill That's two exponential growth problems and one that's saying how many years will it take until dbd equals vcr They want you to do two exponential growth and let them equal each other and forget it Are you guys okay on a half-life question? I can do this one if you want to because it's going to be on your test Okay, you got to go Okay, sorry no printout for you, but I'll email it out too as an attachment You okay, you okay Gesundheit gesundheit gesundheit Joel's going You ready Says it takes 15 years until five percent of the original amount of a radioactive substance remains Determine the half-life as soon as I see half-life I go a equals a zero c to the t over p and I know c is a half Because that's how half-life is defined. What do they want me to find here? The half-life yeah the half-life. Thank you captain obvious. Which of these is the half-life Okay, and this Shannon you got to memorize the half-life is the growth period the half-life is That that means they told me everything else. Um, oh What's this 15? What's this five careful? I'll give you a hint. It's got to be a final or an initial amount because that's all that's laugh Final amount as a decimal Is point zero five What percent did we start out with then if you're finished with five percent? What percent do you always start out with? What's another word for everything? What's the number a percent that describes everything? hundred percent Right, which as a decimal is what? one You're starting out with a hundred percent. You're ending up with five percent Is that okay? Let's go here. We go Point zero five equals one bracket point five to the 15 over p Is that one gonna make a difference but if there was a different initial I would divide I would not go times Where's the p sitting log both sides Uh, why am I going point zero five? No, yeah, it is point zero five good gosh point zero five Equals why am I going black all of a sudden mr. Dude? Point zero five equals and the exponents gonna come to the front and you're all gonna write a proper Big two level fractions so that you know what's on the top and what's on the bottom and you know what I'll even just this once do that Because Vlad, how do I solve this? Darn right. It's math eight Yes, it's ugly math eight still math eight You're gonna get this times this equals this times this or physics 12 students, which is everyone but amanda I'm gonna move stuff diagonally. That's gonna move to there on top. This is gonna move where Down there Do I care about the one? p is going to be 15 log point five divided by log point zero five it's gonna be 15 log point five divided by the log of point zero five The half life is uh, what does it say how many decimal places? At least two I'll go three point four seven Years Did I type that in right point five and point zero if I said it? Okay, you've seen 98 percent of the test I reserve the right for one multiple choice mini curve well right because again I'm getting used to university when you have to learn how to figure something out on your own Okay Let me right click are we done? I can stay longer really want me to okay I'm gonna right click and hit save and then I'll print up copies here