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i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . | how many ways can the 4 call letters of a radio station be arranged if the first letter must be w or k and no letters repeat ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . | does the probability change for different lotteries ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | so what you want to do is divide this by the way that five things can be ordered . and if you 're ordering five things , the first of the five things can take five different positions . then the next one will have four positions left , and then the one after that will have three positions left . | why is my expression different with sals ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | the ball after that , there 's going to be 54 possibilities . ball after that , there 's going to be 53 possibilities . and then the ball after that , there 's going to be 52 possibilities , because i 've already picked 4 balls out of that . | why did n't sal simplify the fraction before using the calculator ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . | what is the definition of a jackpot ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | and so let 's calculate that . so just the white balls , we have 56 times 55 times 54 times 53 times 52 . and we 're going to divide that by 5 times 4 times 3 times 2 . | the question is = how many times a day does lightning hit earth ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . | could you please tell the probability of no of jackpot winners since in that case the numerator would not be 1 , but instead be 120 and the denominator remains the same ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | so your odds of winning it , with one entry -- because this is the number of possibilities , and you are essentially , for $ 1 , getting one of those possibilities . your odds of winning is going to be 1 over this . and to put this in a little bit of context , i looked it up on the internet what your odds are of actual... | strictly speaking , should n't the odds be 1 in 175711535 ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | so let me just draw them . so it 's 1 ball -- i 'll shade it so it looks like a ball -- 2 balls , 3 balls , 4 balls , and 5 balls that they 're going to pick . and you just have to get the numbers in any order . | looking at just the first bunch of 56 balls , if the balls were numbered 1 to 56 , and whenever a certain ball was taken out of the first bag , the exact same number were to be replaced in the bunch , what would be the probability of picking a winning set of five numbers , regardless of order ( assuming that the ticket... |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | and we can roughly say your odds of getting struck by lightning twice in your lifetime , or another way of saying it is the odds of you and your best friend both independently being struck by lightning when you 're not around each other , is going to be 1 in 10,000 times 1 in 10,000 . and so that will get you 1 in -- a... | i put the equation 56*55*54*53*52/5*4*3*2*1 and i get 2200214016 instead of the number your presenting why is that can you explain to me what i 'm doing wrong ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . | how much greater would be my chances be of winning the lottery vs. the mega million drawing ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | `` ans '' just means my previous answer . i get a little under 176 million . let me write that number down . | sir how can i get the ticket of mega million lottery and when its draw is ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | so just your odds of picking just the white balls right are going to be one out of this , assuming you only have one entry . and then there 's 46 possibilities for the orange balls , so you 're going to multiply that times 46 . and so that 's going to get you -- so when you multiply it times 46 -- bring the calculator ... | the quantity is multiplied by 46 , why ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | so let me just draw them . so it 's 1 ball -- i 'll shade it so it looks like a ball -- 2 balls , 3 balls , 4 balls , and 5 balls that they 're going to pick . and you just have to get the numbers in any order . | if i was to just want to pick 3 or 4 of the balls right out of the 5 ball not including the extra powerball how would one do the math to find the odds of this type of arrangement ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | so there 's going to be two bins of balls . one of them is going to have 56 balls in it , so 56 in one bin . and then another bin is going to have 46 balls in it . | what would be the probability that no one wins the lottery ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | so your odds of winning it , with one entry -- because this is the number of possibilities , and you are essentially , for $ 1 , getting one of those possibilities . your odds of winning is going to be 1 over this . and to put this in a little bit of context , i looked it up on the internet what your odds are of actual... | what is the difference between `` odds '' and `` probability '' ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . | what is the probability of winning the power ball lottery ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | and then the fifth one will be completely determined because you 've already placed the other four , so it 's going to have only one position . so when we calculate this part right over here , this will tell us all of the combinations of just the white balls . and so let 's calculate that . | 0 why is there a virtual calculator ( it looks odd , it does n't fit in ) also does this video basically tell us that lotteries are scams ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | you ca n't cut these things very easily . people expected these . these are retirees . | or do most people have 401 ( k ) s or ira 's ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | really just kind of kicking the can down the road , hoping that the next guy or gal who 's in your position is going to figure out something ; or maybe you 'll just be very optimistic that the growth will turn out , or that the state will eventually work things out . what we 'll see over the next video , this notion of... | why are some pensions underfunded ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | all of a sudden , if we 're assuming a 5 % return , then we 'll have to set aside less money that year . $ 8,000 a year . sometimes , it 's not even this , it 's not even this playing with the assumptions , making more optimistic assumptions that allow you to spend less money in that current year , sometimes you might ... | would n't it be a hairy issue for defined contribution plans too if all you could get was a 1 % yearly return on your $ 1,000,000 or $ 10,000 a year , which nobody can live on and just happens to be the case now ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | hopefully , if you 've invested it well and the stock market did n't do anything crazy , it will have grown , and it will be just a big lump sum of money . let 's say that you set aside $ 6,000 a year on average for 30 years , so you set aside $ 180,000 . let 's say you invested it pretty well , and now that has grown ... | what does investment look like when the first 15 years of income is significantly lower than that average of 60k over a 30 year career ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | really just kind of kicking the can down the road , hoping that the next guy or gal who 's in your position is going to figure out something ; or maybe you 'll just be very optimistic that the growth will turn out , or that the state will eventually work things out . what we 'll see over the next video , this notion of... | are there any laws on underfunding assuptions ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | well , one , it 's there , and you 've invested it . hopefully , if you 've invested it well and the stock market did n't do anything crazy , it will have grown , and it will be just a big lump sum of money . let 's say that you set aside $ 6,000 a year on average for 30 years , so you set aside $ 180,000 . | why can pension funds be invested in the stock market ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | you 're not working for that company anymore . what the company will do is set up some plan , and a lot of these are 401 ( k ) s , iras , where some combination of you and the company will set some money aside , and it 's usually done in a tax-deferred way , so you do n't have to pay taxes on it in that year . every ye... | is there a difference between 401 ( k ) 's , ira 's , and dc 's ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | you 're going to have to think about this money that you set aside . what is the assumed growth rate ? what is the assumed growth rate ? | question is in your map showing the funding percentage by state , was the same assumed rate of return used for each state ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | `` in the last 10 years in the stock market , `` we 've gotten 10 % return , '' or , `` i know an `` endowment that 's recently gotten 6 % return . `` why do n't we assume a higher return here ? `` if we assume a higher return , `` why do n't we assume a 5 % return ? '' all of a sudden , if we 're assuming a 5 % return... | could n't a state make their unfunded liability `` appear '' to go away simply by raising their projected rate of return ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | : talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | 0 how do cola estimates inform pensions on how much money will be needed to fund a defined benefit plan ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | : talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | is flipping the risk onto the individual retiree a sound solution with a deregulated financial industry that continues to engage in unsound speculation ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | : talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | does a successful society owe its working public a safe and dignified retirement ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | a defined benefit plan , and this is typical ; a lot of state employees have defined benefit plan , a lot of more traditional industries oftentimes that are unionized . you also have a defined benefit plan or a pension , and the situation is a little different . just like any organization , you will get your salary eve... | is regulation of the financial industry , pay-to-play demands upon the `` job creators '' , and a locked box pension and social security requirements sufficient to forestall a pension crisis ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | they say , `` that seems very conservative . `` in the last 10 years in the stock market , `` we 've gotten 10 % return , '' or , `` i know an `` endowment that 's recently gotten 6 % return . `` why do n't we assume a higher return here ? | what happened in 2008 after the stock market lost huge ammounts of value ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | we can compare that to a defined contribution plan . defined contribution plan . the defined contribution plan , and this is more typical in a lot of private companies right now , every year that you work , let 's plot a little graph here . | in the video does the owner of a defined contribution pension have a rollover option to an annuity for life with an insurance company ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | in theory , maybe if it was invested really badly , it could be even less than $ 180,000 . whatever that number is , whether it 's $ 1 million or whether it 's $ 200,000 , or whether it 's something smaller , that 's essentially the money that you have to live on for your retirement . regardless of how long you live , ... | an annuity they can not out live ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | : talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | has there ever been a default in the us where an annuitant has not received their benefit ? |
: talking about pensions is n't always viewed as the most interesting thing to do , but hopefully this video and the next one might convince you that it is at least worth talking about and understanding because it has major implications for the fiscal situation of many , many , many states in the u.s. a pension is ess... | what we 'll see over the next video , this notion of underfunding pensions is a big , big , big , big problem because we 've had decades of underfunded pensions , and it 's been especially pronounced in particular states . because of that , those states , in order to fund the pension obligations that are hitting now , ... | why do businessmen ever allow their employees to unionize ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | so this is negative . the velocity is negative . so we have this scenario where the velocity is negative , which means we 're going in the left direction . | how come velocity is negative but speed is increasing ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | it is a scalar quantity . and to see the difference , you could have a velocity -- and this is n't maybe particular to this problem because they do n't give us the units -- but you could have a velocity of negative 5 meters per second . and maybe if we 're talking about on the x-axis , this would mean we 're moving lef... | as someone who is n't familiar with what ap/ab placement is , could someone explain it briefly so i can think of a local comparison ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | so it 's becoming more negative . so that means its magnitude is increasing , or speed is increasing . | 1 : why is the speed increasing ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . | what are the applications of calculus ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . | at around : what is the magnitude ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . | at around what you 're saying is that speed is equal to the absolute value of the velocity ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | get the calculator out . we can use calculators for this part of the ap exam . and i assume they intend us to because this is n't something that 's easy to calculate by hand . | does log to base 10 of x simply written as logx in the ap calculus exam ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | but remember , they 're not asking us , is the velocity of the particle increasing or decreasing ? they 're asking us , is the speed of the particle increasing or decreasing ? and if you 're saying , hey , how did i know that , just remember acceleration is just the rate of change of velocity . | why do we need to go into the second derivative when justifying the function is decreasing or increasing ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | it is a vector quantity . speed is just a magnitude . it is a scalar quantity . | so , speed is the first function , v ( t ) is the derivative of s ( t ) , and a ( t ) is the 2nd derivative ... right ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | the acceleration of the particle is given by a of t is equal to all of this business over here . they actually did n't have to give us that because the acceleration is just the derivative of the velocity . and they also gave us -- they do n't tell us the position function , but they tell us where we start off , x of 0 ... | i 'm aware instantaneous acceleration is the derivative of velocity but is n't the derivative of sin ( x ) just cos ( x ) so it would be 2cos ( e^ ( t/4 ) ) * e^ ( t/4 ) ( that being the derivative of the inner function ) ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | then that means that the speed would also be decreasing . so if we have a positive velocity , then the fact that acceleration is negative means that both velocity and speed would be decreasing . on the other hand , if we had a negative velocity at time t equals 5.5 , then the fact that it 's decreasing means that we 'r... | so if the accceleration 's velocity was decreasing and the velocity function was a positive , speed would decrease ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . | what does calculus ab include ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . | what does calculus bc include ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | so our velocity at time 5.5 is negative . so negative 0.45 . negative 0.45 roughly . so this is negative . the velocity is negative . so we have this scenario where the velocity is negative , which means we 're going in the left direction . | what are negative degree measures ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | you 'd say , hey , it 's negative . so you know velocity is decreasing . and then you would say , hey , what is velocity ? | so to address finding speed we must have the velocity to see whether or not the magnitude of the velocity is increasing or decreasing ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | it is a vector quantity . speed is just a magnitude . it is a scalar quantity . | what significance does speed play ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | so the velocity -- so this is one of those interesting scenarios -- the velocity is decreasing . but the speed , which is what they 're asking us in the question , speed is increasing . and if you wanted to do it really quick with all of this explanation i gave you , you would say , hey , look . | how is the speed increasing if acceleration is negative and speed is always positive ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | and if you wanted to do it really quick with all of this explanation i gave you , you would say , hey , look . what 's acceleration ? is it positive or negative ? | does n't acceleration affect speed ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | so 1/2 -- i 'll just write 0.5 -- times e to the t over 4 . well t is 5.5 . 5.5 divided by 4 . | is it possible to just compare with a value of 5.0 and 5.5 , and see what the velocity gives you ? |
problem 1 . for 0 is less than or equal to t is less than or equal to 6 , a particle is moving along the x-axis . the particle 's position x of t is not explicitly given . the velocity of the particle is given by v of t is equal to all of this business right over here . the acceleration of the particle is given by a of... | so you have a negative value that is decreasing . so it 's becoming more negative . so that means its magnitude is increasing , or speed is increasing . | if you disregard the negative sign and just look at the numbers , because then it would just be the magnitude , could you come to the conclusion that speed is increasing with that method ? |
: let 's talk about electroshock therapy . so sometimes healthcare providers use electrical shocks to bring patients out of irregular heart rhythms or irregularly fast heart rates . and the goal is to re-establish a normal heart rate and rhythm . so you probably seen scenes in movies or on tv where there is a patient ... | instead , the ventricular is just spasming and there 's no pulse . so what 's another arrhythmia where there 's no pulse ? remember sometimes vtach does n't have a pulse . | how often does an arrhythmia persist after an ablation ? |
: let 's talk about electroshock therapy . so sometimes healthcare providers use electrical shocks to bring patients out of irregular heart rhythms or irregularly fast heart rates . and the goal is to re-establish a normal heart rate and rhythm . so you probably seen scenes in movies or on tv where there is a patient ... | it 's use to treat atrioventricular nodal reentrant tachycardia , which is a fast heart rate cause by an abnormal loop or circuit of electricity going around the av node . and synchronized cardioversion is used to treat someone with vtach who has a pulse . now why do we care about the pulse ? | what happens if we use a synchronized shock on a person with vfib or pulseless vtach ? |
: let 's talk about electroshock therapy . so sometimes healthcare providers use electrical shocks to bring patients out of irregular heart rhythms or irregularly fast heart rates . and the goal is to re-establish a normal heart rate and rhythm . so you probably seen scenes in movies or on tv where there is a patient ... | it 's not in sync with the r wave or any wave for that matter . so sometimes defibrillation is called asynchronous cardioversion . a , meaning , no synchrony , because it 's not synchronizing to any part of the cycle . | will asynchronous cardioversion harm you ? |
hi . my name is jen , and i help create the sat . the new sat is made up of two main sections : math , and evidence based reading and writing . and the evidence based reading and writing section is made up of two tests . the reading test , and the writing and language test . in this video , i 'm going to tell you abou... | the new sat is made up of two main sections : math , and evidence based reading and writing . and the evidence based reading and writing section is made up of two tests . the reading test , and the writing and language test . in this video , i 'm going to tell you about the writing and language test . | so , is the essay partly reading and partly writing now ? |
hi . my name is jen , and i help create the sat . the new sat is made up of two main sections : math , and evidence based reading and writing . and the evidence based reading and writing section is made up of two tests . the reading test , and the writing and language test . in this video , i 'm going to tell you abou... | keep in mind that many of the questions rely on the context of the passage , so you may have to read more than the sentence that corresponds to the question , to choose the best answer . sometimes , you will see the box number and nothing else in the sentence . in this case , the question will tell you what to do , suc... | can we only focus on the sentence with underlined word or phrases ? |
hi . my name is jen , and i help create the sat . the new sat is made up of two main sections : math , and evidence based reading and writing . and the evidence based reading and writing section is made up of two tests . the reading test , and the writing and language test . in this video , i 'm going to tell you abou... | at least one will be argumentative , at least one will be informative/explanatory , and one will be nonfiction narrative . you should also expect to see a range of text complexity , from ninth grade on up to the first year in college , or post-secondary training . some passages , and sometimes some questions , on the w... | `` what does post secondary entry across 4 passages '' what does that mean ? |
hi . my name is jen , and i help create the sat . the new sat is made up of two main sections : math , and evidence based reading and writing . and the evidence based reading and writing section is made up of two tests . the reading test , and the writing and language test . in this video , i 'm going to tell you abou... | and that , along with your score on the reading test , will contribute to your evidence based reading and writing score , which is scored on a scale of 200 to 800 . when you get your sat scores , you 'll also see some subscores . two of these subscores are unique to the writing and language test . | would taking the psat 's consistently every year get combined and averaged out based on scores ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | so if we shifted up like that . remember , we 're just doing the head to tails , visual addition method of vectors . so i just put this tail to this head . | why do vectors have to be arranged `` head to tales '' in order for the addition to work out ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | all right , so let 's say this is 1 , 2 , 3 . this is 1 , 2 , 3 , 4 . and i draw 1 , 2 , 3 , 4 , 5 , 6 . i think we should be able to now add them . | can 2 vectors be added if one is in 2 dimension & the other one is in 3 dimension ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | we just add the x components , and we add the y components . so we said that these two vectors , a plus b , these little weird arrows on top , that 's just saying that those are vectors . that 's equals . | how do you arrange vectors graphically when you subtract them ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | so here we took all this trouble , and i had to draw these straight lines to visually add these two vectors . this green vector is a plus b . let 's see if this green vector is the same thing that we got here . | however , after getting vectors a and b ( green and red arrows ) what guarantees that they will be perpendicular on each other and form a right angle ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | all right , so let 's say this is 1 , 2 , 3 . this is 1 , 2 , 3 , 4 . and i draw 1 , 2 , 3 , 4 , 5 , 6 . i think we should be able to now add them . | can 2 vectors be added if one is in 2 dimension & the other one is in 3 dimension ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | so its tail can start at the head of the b vector . i just shifted the a vector , so this is still the a vector . by moving the vector around , you have n't changed the vector . i would only change the vector , if i scaled it , if i made it bigger or smaller , if i changed its orientation . | is the triangle vector sum related to the length ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | so its tail can start at the head of the b vector . i just shifted the a vector , so this is still the a vector . by moving the vector around , you have n't changed the vector . i would only change the vector , if i scaled it , if i made it bigger or smaller , if i changed its orientation . | does anybody know what a vector diagram is ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | so let 's draw it . and i think this will give you a little better sense of unit vectors generally . let me draw the axes . | if we think practically , how vectors combine ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | so that it can start at the head . so its tail can start at the head of the b vector . i just shifted the a vector , so this is still the a vector . by moving the vector around , you have n't changed the vector . i would only change the vector , if i scaled it , if i made it bigger or smaller , if i changed its orienta... | when drawing the vector v do you always have to start from the origin ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | but now that we have this out of the way , and hopefully you 're convinced that unit vector notation is useful . we can move on and maybe try to do some of our old projectile motion problems using this notation . and maybe it 'll let us to do a little bit of extra stuff with it . | why the path of projectile is parabola ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | so i think that 's a valid opinion to have . so i will show you that this works , by adding the vectors visually . so let 's draw it . | how would u visually subtract the vectors ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | and the way we can do that , we can either shift this vector up like this , and draw it up here . or we could shift this vector , and put its tail its vector 's head . but either way , let 's shift this one up . | one thing i 'm stuck with from the start is that in the head to tail method , why is n't the resulting vector joined with it 's to the head of the last vector and it 's head to the tail of the first vector ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | it 's 2i , so it 's this vector . 2 times unit vector i . that 's this . | @ salkhan can u tell me 1 thing , can the unit vector r^ be equal to ( r vector / the magnitude of r ) ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | and the way we can do that , we can either shift this vector up like this , and draw it up here . or we could shift this vector , and put its tail its vector 's head . but either way , let 's shift this one up . | you usually put an arrow on top of a vector to denote it , then why did you use > ( greater than ) in this video ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | it 's 2i , so it 's this vector . 2 times unit vector i . that 's this . | for instance in the `` visualizing vectors in two dimensions '' video at the end we were finding the displacement of the vector a where we were given that the magnitude of vector a was 5 and the angle=36.8699 how would one solve this using unit vector notation ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | so you can shift them . you just ca n't change their orientation or their magnitudes . and that 's actually how you add them , you shift them , and put them head to tails . | if the circumference of a star increases by a factor of 8.14 , by what factor do the following change ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | it 's 2i , so it 's this vector . 2 times unit vector i . that 's this . | i thought vector a equals sqrt-3i^2 + sqrt2^2 ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | it 's 2i , so it 's this vector . 2 times unit vector i . that 's this . | is n't the equation c=sqrt a^2+b^2 ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | if we put a negative there , it flips it over . let me use a different color . so this is minus 3i , and then plus 2j . | when do i have to use vectors to apply it to the `` real world '' , or so called life applications ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | all right , so let 's say this is 1 , 2 , 3 . this is 1 , 2 , 3 , 4 . and i draw 1 , 2 , 3 , 4 , 5 , 6 . i think we should be able to now add them . | does a+b= -1^2+6^2 because i solved for a^2=-3^2+2^2 and got 3.606 then i did b=2^2+4^2 and got 4.472 then i did ( 3.606+4.472 ) ^2=-1^2+6^2 which came out as 65.25=36 can someone tell me what i did wrong ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | we just add the x components , and we add the y components . so we said that these two vectors , a plus b , these little weird arrows on top , that 's just saying that those are vectors . that 's equals . | given three vectors a=6m , e ; b=12m,60degree n of e ; and c=9m , 60degree s of e. express a , b and c in terms of the unit vectors i , j , k ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | and that is equal to , 2i , so two times the unit vector i . plus , 4 times the unit vector j . in the last video i said , well , the whole reason why this unit vector notation is even -- well , one of the reasons , we 'll see that there many reasons why it 's useful . | is any vector written in i , j , k notation has to start from origin or it can be anywhere ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | so its tail can start at the head of the b vector . i just shifted the a vector , so this is still the a vector . by moving the vector around , you have n't changed the vector . i would only change the vector , if i scaled it , if i made it bigger or smaller , if i changed its orientation . | also is it possible that a vector of a fixed magnitude and parallel to another vector , will have more than one answer ? |
welcome back . in the last video , i at the end of the video , like i always do in the attempt to confuse you , i told you that if i had two vectors -- and let me just make up some new ones , so i can draw them visually in a second or two . let 's call the first vector a . let me do a different color . this toothpaste ... | all right , so let 's say this is 1 , 2 , 3 . this is 1 , 2 , 3 , 4 . and i draw 1 , 2 , 3 , 4 , 5 , 6 . | : if an object moves from the origin ( t=0 ) with constant acceleration 2 m/s^2 x and 4 m/s^2 y , what will the y coordinate be if the x coordinate is 12m ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when this occurred is 13.7 billion years ago . and even though we 're used to dealing with numbers in the billions , especially when we talk about large amounts of money an... | if the best estimate of the timing of the big bang is 13.7 billion years ago , and the observable universe has a radius of 13.7 billion years , ( assuming that the universe is expanding uniformally in all directions ) does that mean that the center of the big bang has a theoretical near-earth coordinate in space ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | but the light from that remote object is just now getting to us . and that light took 13.7 billion years to get to us . now , what i 'm going to hesitate to do , because we 're talking over such large distances and we 're talking on such large time scales and time scales over which space itself is expanding -- we 're g... | we perceive the time as 13.7 billion years but since time slows as one approaches the speed of light , how much actual time has passed from the photon 's perspective ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | the longest that that could have been traveling is 13.7 billion years . so it could be traveling 13.7 billion years . so when we looked at that depiction -- this i think was two or three videos ago , of the observable universe -- i drew , it was this circle . | if i were hitching a ride with the photon , would i perceive the universe as far less than 13.7 billion years old ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | so this is now 100 million light years away from each other . the universe is expanding . these coordinates , the space is actually spreading out . | if the universe is expanding , are the atoms in our bodies increasing in distance between each other ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | 10 million years go by . the universe has expanded . this coordinate , where we 're sitting today at the present time , is now all the way over here . | - can the universe expand indefinitely ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | so after 10 million years , the universe might look like this . actually it might even be bigger than that . let me draw it like this . | - does the earth get bigger over time ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | so this is now 100 million light years away from each other . the universe is expanding . these coordinates , the space is actually spreading out . | - if the universe started to contract instead of keep expanding , would everything be destroyed by all the energy that was `` hanging still '' because of the speed of the expansion ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | this object is now 46 billion light years away from us . when we just use light to observe it , it looks like , just based on light years , hey , this light has been traveling 13.7 billion years to reach us . that 's our only way of kind with light to kind of think about the distance . | could n't i be somewhere else instead so the light would take more time to reach me ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | but it emits a photon . and that photon is traveling at the speed of light . it is light . | if the space itself is expanding with a speed faster than light then how can a photon traveling with speed of light from edge of universe ever reach us ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | but we could even talk about that coordinate in space . and actually , i should say that coordinate in space-time , because we 're viewing it at a certain instant as well . but that coordinate is not 13.7 billion light years away from our current coordinate . | if the space between galaxies expands over time , how come people say that in the very far future our galaxy will collide with andromeda ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | so this is now 100 million light years away from each other . the universe is expanding . these coordinates , the space is actually spreading out . | how fast is the universe expanding ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | 10 million years go by . the universe has expanded . this coordinate , where we 're sitting today at the present time , is now all the way over here . | what is the estimated size of the universe ? |
right now , the best estimate of when the big bang occurred -- and once again , i do n't like the term that much because it kind of implies some type of explosion . but what it really is is kind of an expansion of space , when space started to really start to expand from a singularity . but our best estimate of when th... | but it emits a photon . and that photon is traveling at the speed of light . it is light . | if light travels at a finite speed , how do we know that the universe is not now contracting ? |
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