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if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | we look at what type of lens it is . this lens is a diverging lens . diverging lenses always get contributed , always have a negative focal length that they contribute into this equation . | why is the focal length in convex lens is + and concave lens is - ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | everything 's fine . eye looking through the lens at our object . so we still treat this as a positive 15 . | is the `` object '' for the second lens not a `` virtual object '' ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | in other words , if this 1st lens created an image that was closer to our eye than the 2nd lens was , well that 's just all messed up . that 's going to be a negative object distance . your not supposed to hold an object between your eye and the lens . | should the `` object distance '' in that case not be negative ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | everything 's fine . eye looking through the lens at our object . so we still treat this as a positive 15 . | is the `` object '' for the second lens not a `` virtual object '' ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | we 'll have for this lens it 's going to be 1 over . alright , focal length . what do we look at for focal length ? | how to find equivalent focal length for two lenses if they are kept together ( space between them is negligible ) using cartesian sign convention ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | 15 centimeters will be where the `` object '' for this 2nd lens is going to be . so as we turn this positive 18 into object distance of positive 15 centimeters . why positive ? | why you took object distance ( 15cm ) in the second case , positive ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | that 's where the objects are supposed to be . now here , this is where i told you there 's one case where you can get negative object distances if our 1st lens would have created an image of this object way over here on the wrong side of the lens . in other words , if this 1st lens created an image that was closer to ... | what would be the sign of the di if the object ends up negative ( in this case the image of the convex lens ends up after the concave lens ) ; would it still be a virtual image on the same side of the object ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | it 's on the left . maybe i make it negative , nope . the only thing you look at is what kind of lens this is . | why do n't we make di negative in the first place ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | we look at what type of lens it is . this lens is a diverging lens . diverging lenses always get contributed , always have a negative focal length that they contribute into this equation . | what do you do if the 2nd lens is closer than the focus of the first lens ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | where is this ? well , alright , di , positive image distance . remember , positive means on the same side as your eye for a lens . | how do we know the signs for do and di if there is no eye drawn in the problem ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | you 've got to plug in that distance and that 's going to be 24 plus 12 . it 's actually 36 . so i 'd have 1 over and this is going to be 36 centimeters . | why the object distance is +ve 36 not -36 according to the cartesian plane ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . | what happens to a light ray if it enters a medium with a lower refractive index ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | that did n't happen here . our image is still formed on this side . we 're going to pretend like this 1st lens did n't exist . | what happens when the image formed is beyond the second lens ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | where is this ? well , alright , di , positive image distance . remember , positive means on the same side as your eye for a lens . | if m2 is positive , should n't the image be upright rather than inverted ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | we 're going to pretend like this 1st lens did n't exist . we got an object over here , we 're going to treat it like our object . everything 's fine . | is that in case of magnification the direction of '+ ' sign is same as that of the object ? |
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ... | the distance between lenses is 33 centimeters . so if the distance from this 1st lens is 18 well the difference has to be equal to this length . so 33 minus 18 is going to be 15 , whoops . | why is mtotal=m1m2 and not equal to -ditotal/dototal or m1+m2 ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | this tells us , what power do i have to raise 3 to to get to 27 ? you could view it as this way . 3 to the ? | is there a way to simplify log3^x ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | but when you evaluate a logarithm , you 're getting an exponent that you would have to raise b to to get to a times c. but let 's just apply this property right over here . so if we apply it to this one , we know that log base 3 of 27 times x -- i 'll write it that way -- is equal to log base 3 of 27 plus log base 3 of... | log ( base b7 ) square root ( x^6 ) /y^7z^8 what is the equivalent sum or difference of logarithms ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | but when you evaluate a logarithm , you 're getting an exponent that you would have to raise b to to get to a times c. but let 's just apply this property right over here . so if we apply it to this one , we know that log base 3 of 27 times x -- i 'll write it that way -- is equal to log base 3 of 27 plus log base 3 of... | would log base 3 27^x simplify to 3x ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | so i 'm just writing the same truth . i 'm writing it as an exponential function or exponential equation , instead of a logarithmic equation . so b to the zth power is equal to c. this is the same statement or the same truth said in a different way . | are there logarithmic equations like radical equations ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | but when you evaluate a logarithm , you 're getting an exponent that you would have to raise b to to get to a times c. but let 's just apply this property right over here . so if we apply it to this one , we know that log base 3 of 27 times x -- i 'll write it that way -- is equal to log base 3 of 27 plus log base 3 of... | 2 , why ca n't one cancel the log base 3 from both sides of the equation and get 27x= 27+x ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | but when you evaluate a logarithm , you 're getting an exponent that you would have to raise b to to get to a times c. but let 's just apply this property right over here . so if we apply it to this one , we know that log base 3 of 27 times x -- i 'll write it that way -- is equal to log base 3 of 27 plus log base 3 of... | suppose the values of log 2 and log 3 are given , how to calculate the value of log 5 ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | this comes straight out of our exponent properties . and so if b to the y plus z power is the same thing as b to the x power , that tells us that x must be equal to y plus z . if this is confusing to you , do n't worry about it too much . | how was deriving x = y+z helpful in finding the answer ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | but when you evaluate a logarithm , you 're getting an exponent that you would have to raise b to to get to a times c. but let 's just apply this property right over here . so if we apply it to this one , we know that log base 3 of 27 times x -- i 'll write it that way -- is equal to log base 3 of 27 plus log base 3 of... | how do you express log^8 + log^3 as a single logarithm ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | but when you evaluate a logarithm , you 're getting an exponent that you would have to raise b to to get to a times c. but let 's just apply this property right over here . so if we apply it to this one , we know that log base 3 of 27 times x -- i 'll write it that way -- is equal to log base 3 of 27 plus log base 3 of... | what is the difference between `` log ( a ) x*y `` and `` y* log ( a ) x `` ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . | how and why does where the multiplication goes affect which rules you use ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | so the logarithm property that jumps out at me -- because this right over here -- we 're saying what power do we have to raise 3 to to get 27x ? 27x is the same thing as 27 times x . and so the logarithm property it seems like they want us to use is log base -- let me write it -- log base b of a times c -- i 'll write ... | can we leave it at logbase3 27 + logbase3 x ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | 27x is the same thing as 27 times x . and so the logarithm property it seems like they want us to use is log base -- let me write it -- log base b of a times c -- i 'll write it this way -- log base b of a times c. this is equal to the logarithm base b of a plus the logarithm base b of c. and this comes straight out of... | how would you expand log35 base 8 ? |
we 're asked to simplify log base 3 of 27x . and frankly , this is already quite simple . but i 'm assuming they want us to use some logarithm properties and manipulate this in some way , maybe to actually make it a little bit more complicated . but let 's give our best shot at it . so the logarithm property that jumps... | but when you evaluate a logarithm , you 're getting an exponent that you would have to raise b to to get to a times c. but let 's just apply this property right over here . so if we apply it to this one , we know that log base 3 of 27 times x -- i 'll write it that way -- is equal to log base 3 of 27 plus log base 3 of... | in the final answer , if log_3 ( 27 ) equals 3 , why would n't log_3 ( x ) equal 1 because of the assumed 1st power that x is raised to ? |
so , gastroenteritis is kind of a big word , but i think like all big words , the best way to really understand it is by breaking it down . so , `` gastro '' refers to stomach . `` enter '' refers to small intestine . and `` itis '' refers to inflammation . so , there are really two different types of gastroenteritis ... | so , whether or not you give someone antibiotics really depends on the nature of the pathogen and the individual . so , there is n't really a medicine to kind of treat gastroenteritis or cure gastroenteritis . it kind of goes away on its own after about a week or so . | is it possible to get gastroenteritis by eating something you ca n't digest ? |
so , gastroenteritis is kind of a big word , but i think like all big words , the best way to really understand it is by breaking it down . so , `` gastro '' refers to stomach . `` enter '' refers to small intestine . and `` itis '' refers to inflammation . so , there are really two different types of gastroenteritis ... | so , drinking a lot of water , drinking fluids that contain a lot of sugars and salts and all that stuff , because the person is pretty badly dehydrated . they really need to get some water . if it 's getting pretty severe , you can actually have the person be put on an iv fluid . | so does that mean that in my case it is airborne and happens when i sleep ( thus explaining why i often feel fine until i eat when i get a stomach virus and then suddenly get sick ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . | is there a way to solve the p ( bet 2 ) without listing all of the outcomes ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | what 's the probability , it 's going to be negative 100 dollars times the probability that he catches three fish . the probably that jeremy catches three sunfish , the next three fish he catches are going to be sunfish , times 100 dollars . or i should , well you 're going to pay that . | should n't x be defined as the outcome of jeremy 's next three fish ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | well bet number two -- actually both of them are good bets , i guess your friend is n't that sophisticated , but bet number two has a higher expected payoff , so i would take bet two all of the time . i would take bet two all of the time . | would there really every be a scenario where you would n't take a bet all of the time ( assuming both are positive profits ) ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | if you catch at least two sunfish of the next three fish you catch he will pay you 50 , otherwise you will pay him 25 . let 's think about the probability of catching at least two sunfish of the next three fish that you catch . there 's a bunch of ways to think about this but since there 's only three times that you 'r... | so how can we just count number of required outcomes ( catching 2 or more fish ) and say its probability is 4/8 ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | your expected value from bet two is 12.50 . your friend says he 's willing to take both bets a combined total of 50 times . if you want to maximize your expected value what should you do ? | how can they even take the bets 50 times ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . | if i have to calculate the expected number of points earned in a test of 4 questions ( each one with 2 options ) , how can i know the number of relevant outcomes without listing all the posibilities ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | you could have sunfish , trout , sunfish . you could have sunfish , trout , trout . you could have trout , sunfish , sunfish . | could n't the combinations of salmon and trout be determined using permutations ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | what 's the probability , it 's going to be negative 100 dollars times the probability that he catches three fish . the probably that jeremy catches three sunfish , the next three fish he catches are going to be sunfish , times 100 dollars . or i should , well you 're going to pay that . | why is it ( 1-p ( jeremy catches 3 ) ) ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | if you catch at least two sunfish of the next three fish you catch he will pay you 50 , otherwise you will pay him 25 . let 's think about the probability of catching at least two sunfish of the next three fish that you catch . there 's a bunch of ways to think about this but since there 's only three times that you 'r... | is there a better way to calculate `` at least two sunfish in the next three fish '' than writing down all the possible combinations and counting how many have at least 2 ss ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | the expected value of x is going to be equal to , let 's see . what 's the probability , it 's going to be negative 100 dollars times the probability that he catches three fish . the probably that jeremy catches three sunfish , the next three fish he catches are going to be sunfish , times 100 dollars . | ish would n't the probability be a dependent event since there is a set amount of fish in the pond/lake ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | there 's a bunch of ways to think about this but since there 's only three times that you 're trying to catch the fish and there 's only one of two outcomes you could actually write all the possible outcomes that are possible here . you could get sunfish , sunfish , sunfish . you could get , what 's the other type of f... | why ca n't we count the probability of `` not catching a sunfish 3 times '' as well 1/2*1/2*1/2 ? |
you and your friend jeremy are fishing in a pond that contains ten trout and ten sunfish . each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . we do n't encourage betting but i guess jeremy wants to bet . if the next three fish h... | each time one of you catches a fish you release it back into the water . jeremy offers you the choice of two different bets . bet number one . | who wants to go fishing with me in the near future and place some bets ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | 2x plus 22 plus another 2x plus 122 is going to add up to 180 . we know that this entire angle right over here is 180 degrees . so we can say that the measure of angle qpr , this angle right over here , 2x plus 122 , plus the green angle , plus angle rps -- so plus 2x plus 22 -- is going to be equal to 180 degrees . an... | what does the m next to the angle symbol mean ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | 2x plus 22 plus another 2x plus 122 is going to add up to 180 . we know that this entire angle right over here is 180 degrees . so we can say that the measure of angle qpr , this angle right over here , 2x plus 122 , plus the green angle , plus angle rps -- so plus 2x plus 22 -- is going to be equal to 180 degrees . an... | what is a supplementary angle compared to a complimentary angle ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . | what is the difference between radians and degrees ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | 2x plus 22 plus another 2x plus 122 is going to add up to 180 . we know that this entire angle right over here is 180 degrees . so we can say that the measure of angle qpr , this angle right over here , 2x plus 122 , plus the green angle , plus angle rps -- so plus 2x plus 22 -- is going to be equal to 180 degrees . | in the example problem , how do we know that the angle qps is a straight angle ( and not 179 degrees or 181 degrees ) ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | they said find the measure of angle rps , which is 2 times x plus 22 or 2 times 9 plus 22 , which is 18 plus 22 , which is equal to 40 . so the measure of angle rps is 40 degrees . | what is the measure of a supplementary angle ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | and the sum of those two are going to be equal to 180 degrees . we can subtract 144 from both sides . on the left-hand side , we 're just going to be left with a 4x , this 4x right here . | so how do you know whether or not to subtract or add ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | and the main big idea here , the thing that pops out here , is that the outside rays for both of these angle form a line . these two angles form a line . you could say that they are supplementary . | if two supplementary angles are in the ratio the measure of the larger angle is ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | they said find the measure of angle rps , which is 2 times x plus 22 or 2 times 9 plus 22 , which is 18 plus 22 , which is equal to 40 . so the measure of angle rps is 40 degrees . | what is the measure of angle mon ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | and the main big idea here , the thing that pops out here , is that the outside rays for both of these angle form a line . these two angles form a line . you could say that they are supplementary . | what is the significance of/reason for algebra in calculating angles ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | and the main big idea here , the thing that pops out here , is that the outside rays for both of these angle form a line . these two angles form a line . you could say that they are supplementary . | how do we know if the line is strait or not ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | and the main big idea here , the thing that pops out here , is that the outside rays for both of these angle form a line . these two angles form a line . you could say that they are supplementary . | how do you find the sum of interior angles ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | you could say that they are supplementary . both of these angles are supplementary . 2x plus 22 plus another 2x plus 122 is going to add up to 180 . | are the linear pairs of angles supplementary ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | and the main big idea here , the thing that pops out here , is that the outside rays for both of these angle form a line . these two angles form a line . you could say that they are supplementary . | 9 , how can i use algebra to find the measure of more three supplementary angles if two of the angles are divided by the third ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | and the main big idea here , the thing that pops out here , is that the outside rays for both of these angle form a line . these two angles form a line . you could say that they are supplementary . | 9 , how can i use algebra to find the measure of more than two supplementary angles ? |
we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . and they ask us to find the measure of angle... | we 're told that the measure of angle qpr -- so that 's this angle right over here -- is 2x plus 122 . and i 'll assume that these are in degrees . so it 's 2x plus 122 degrees . and the measure of angle rps -- so that 's this angle right over here -- is 2x plus 22 degrees . | if you were playing pong , and the ball was appoaching the top wall at 50 degrees , at what degree should the ball be traveling ? |
which of these functions is odd ? and so let 's remind ourselves what it means for a function to be odd . so i have a function -- well , they 've already used f , g , and h , so i 'll use j . so function j is odd . if you evaluate j at some value -- so let 's say j of a . and if you evaluate that j at the negative of t... | so i have a function -- well , they 've already used f , g , and h , so i 'll use j . so function j is odd . if you evaluate j at some value -- so let 's say j of a . | can some one clarify if an odd function has to intersect the origin ? |
i know all these social theories can seem pretty daunting . but they 're actually fairly simple to keep track of if you remember main points . the first theory of society that i 'll review is functionalism . this theory looks at how society can exist and survive over time . basically functionalism states that a society... | we construct world around us . the final social theory here is symbolic interactionism . this one is kind of different than the other theories because it puts a lot of focus on the individual and how they behave . | can someone tell me what the main difference between social constructionism and symbolic interactionism is ? |
i know all these social theories can seem pretty daunting . but they 're actually fairly simple to keep track of if you remember main points . the first theory of society that i 'll review is functionalism . this theory looks at how society can exist and survive over time . basically functionalism states that a society... | but they 're actually fairly simple to keep track of if you remember main points . the first theory of society that i 'll review is functionalism . this theory looks at how society can exist and survive over time . | could n't when the society is not in equilibrium ( like in functionalism ) , a form of conflict theory appear ? |
i know all these social theories can seem pretty daunting . but they 're actually fairly simple to keep track of if you remember main points . the first theory of society that i 'll review is functionalism . this theory looks at how society can exist and survive over time . basically functionalism states that a society... | that tree could mean 10 different things to 10 different people and even if you just look at one person a tree can have multiple meanings and those meanings can even change over time . the meanings we give things is based on our past experiences in the society and those meanings and interpretations create our future so... | do you believe that polar bears are endangered as a species now or in the future ? |
i know all these social theories can seem pretty daunting . but they 're actually fairly simple to keep track of if you remember main points . the first theory of society that i 'll review is functionalism . this theory looks at how society can exist and survive over time . basically functionalism states that a society... | the two opposing position were merge to create a new society , where the workers have slighly more power than before and factory owners have slighly less and everyone was content if maybe not ecstatic about the outcome . ok , so in conflict theory you have two opposing sides at odds of each other that eventually lead t... | 2.11 what does the word 'syntesize ' mean ? |
i know all these social theories can seem pretty daunting . but they 're actually fairly simple to keep track of if you remember main points . the first theory of society that i 'll review is functionalism . this theory looks at how society can exist and survive over time . basically functionalism states that a society... | the two opposing position were merge to create a new society , where the workers have slighly more power than before and factory owners have slighly less and everyone was content if maybe not ecstatic about the outcome . ok , so in conflict theory you have two opposing sides at odds of each other that eventually lead t... | 2.11 what does the word 'syntesize ' mean ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? | how do i figure out the slope , y and x intercept ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? | is it allow to have a decimal for the y-intercept ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? | can we use the fractions to figure out the slope ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | so i 'd like to pick the two points that make things a little bit simpler . so i 'll pick the point 4 , 2 and 7 , 0 . i just picked those two points because they have nice , clean numbers associated with it . | do we use the first point or second fo substitution ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | so it 's 0x plus 2 , which is the same thing as y is equal to 2 . you could substitute back in . you could say ok , well , if y is equal to 0x plus b , that means that y is equal to b . | so in the first example , could we consider 'y ' as an independent variable too ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? | if this is equation is for slope intercept form what is the equation y-y1=m ( x-x1 ) for ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? | how do you find slope intercept form ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . | why does the y stay the same in general ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | so let 's just try the 7 and the 0 . so when x is equal to 0 -- sorry , when x is equal to 7 -- y is equal to 0 . so when x is equal to 7 , i 'll just do it in the same color , y is equal to 0 . | what if the table did n't specify what the x-value was when y is equal to 0 ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | so it 's 0x plus 2 , which is the same thing as y is equal to 2 . you could substitute back in . you could say ok , well , if y is equal to 0x plus b , that means that y is equal to b . | could you write a proportion to find the y intercept ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . | what do i do if my input output table has no pattern ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? | how do u find a slope from a table of linear data ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | so 0 is equal to negative 2/3 times 7 plus b , or 0 is equal to negative 14/3 plus b . add 14/3 to both sides , you get 14/3 is equal to b . so this is going to be y is equal to negative -- i 'm going to go back to the other screen -- so y is equal to negative 2/3 x plus 14/3 . | can someone help me with how to get b ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | they 've given us more than necessary . so i 'd like to pick the two points that make things a little bit simpler . so i 'll pick the point 4 , 2 and 7 , 0 . | so in general , when substituting it does not matter which two values of x an y you choose , just that picking values that will complement each other will make for cleaner , simpler math ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? | how do you find the y intercept , slope and the equation at the same time ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | but this is n't going to be really clean for any of these numbers right over here . if we had a 3 for x , or a 6 for x , or a 0 for x , then things would work out nicely . but they do n't give us any of those . | do i always subtract the product of m and x from y ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? | what if i am asked to convert 2 equations into slope-intercept form ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | but this is n't going to be really clean for any of these numbers right over here . if we had a 3 for x , or a 6 for x , or a 0 for x , then things would work out nicely . but they do n't give us any of those . | would the y be the numerator or denominator ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | you could substitute back in . you could say ok , well , if y is equal to 0x plus b , that means that y is equal to b . well , y is always equal to 2 , no matter what thing you pick , so b is equal to 2 . | what does the m and b part of y= mx+b mean ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | so let me do that . so y is equal to negative 2/3 x plus 14/3 . let 's check our answer . | why was -2/3 times 7 suddenly become -14/3 ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | you could substitute back in . you could say ok , well , if y is equal to 0x plus b , that means that y is equal to b . well , y is always equal to 2 , no matter what thing you pick , so b is equal to 2 . | how do i find b if the y values are not the same ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? | how do you find the slope for negative and positive whole numbers ? |
a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . what is the equation of the line ? so the first thing we want to think about , what is the slope of this line ? what is m here ? so what is our change in y for given chan... | a line goes through the following points , and the equation of that line is written in y equals mx plus b form . also known as slope-intercept form . | so the equation of a line is y=mx+b ? |
: in this video we 're gon na talk a little bit about membrane receptors . membrane receptors are really important because they are the things that actually allow ourselves to communicate with the outside world . without membrane receptors our cells would n't be able to work together and they would n't be able to form... | we also call these ligands . a ligand can be something like a neurotransmitter or a hormone or cell recognition molecules . and what these can do is these can attach to our membrane receptors and trigger changes inside the cell . i 'm gon na do the membrane receptors in a nice blue color . and remember we say they 're ... | if ligand is gon na be just a molecule then how can it ask or order the cell to do the required functions inside cells ? |
: in this video we 're gon na talk a little bit about membrane receptors . membrane receptors are really important because they are the things that actually allow ourselves to communicate with the outside world . without membrane receptors our cells would n't be able to work together and they would n't be able to form... | and all of these membrane receptors that we know so far can be grouped into three major groups . ligand gated ion channels , g protein coupled receptors , and enzyme linked receptors . | are voltage-gated ion channels not membrane receptors ? |
: in this video we 're gon na talk a little bit about membrane receptors . membrane receptors are really important because they are the things that actually allow ourselves to communicate with the outside world . without membrane receptors our cells would n't be able to work together and they would n't be able to form... | as far as we know , we can group membrane receptors into three large groups . the first group we call ligand gated ion channels . the second group we call g protein coupled receptors . | why does the ligand bind in the first place ? |
: in this video we 're gon na talk a little bit about membrane receptors . membrane receptors are really important because they are the things that actually allow ourselves to communicate with the outside world . without membrane receptors our cells would n't be able to work together and they would n't be able to form... | and all of these membrane receptors that we know so far can be grouped into three major groups . ligand gated ion channels , g protein coupled receptors , and enzyme linked receptors . | in the case of enzyme linked receptors , are ligands considered a cofactor or coenzyme ? |
: in this video we 're gon na talk a little bit about membrane receptors . membrane receptors are really important because they are the things that actually allow ourselves to communicate with the outside world . without membrane receptors our cells would n't be able to work together and they would n't be able to form... | and this integral protein , which , again , appears in our cell membrane will actually bind that nice triangle shaped ligand that we have . like this . and so now what we have is our ligand receptor complex . | do ligands form covalent bonds or weak-interactions like h-bonds with the receptors ? |
here is a simulation created by khan academy user justin helps that once again tries to give us an understanding of why we divide by n minus 1 to get an unbiased estimate of population variance when we 're trying to calculate the sample variance . so what he does here , the simulation , it has a population that has a u... | then we start sampling from that population . we 're going to use samples of size 50 . and what we do is for each of those samples , we calculate the sample variance based on dividing by n , by dividing by n minus 1 and n minus 2 . and as we keep having more and more and more samples , we take the mean of the variances... | i 'm thinking of how to ask this in a way that makes sense- it seems that n-1 works when the sample size is at some percentage of n , but what happens to your sample variance as your sample size , n , approaches the population size , n ? |
here is a simulation created by khan academy user justin helps that once again tries to give us an understanding of why we divide by n minus 1 to get an unbiased estimate of population variance when we 're trying to calculate the sample variance . so what he does here , the simulation , it has a population that has a u... | and we figure out what those means converge to . so that 's a sample . here 's another sample . here 's another sample . | but , you are diligent and keep collecting data , and your sample size ends up being 80 % or 90 % of your population ? |
here is a simulation created by khan academy user justin helps that once again tries to give us an understanding of why we divide by n minus 1 to get an unbiased estimate of population variance when we 're trying to calculate the sample variance . so what he does here , the simulation , it has a population that has a u... | in the vertical axis , using this denominator , dividing by n , we calculate two different variances . one variance , we use the sample mean . the other variance , we use the population mean . | so , what is the significance of the number 1 with respect to unbiased sample variance ? |
here is a simulation created by khan academy user justin helps that once again tries to give us an understanding of why we divide by n minus 1 to get an unbiased estimate of population variance when we 're trying to calculate the sample variance . so what he does here , the simulation , it has a population that has a u... | we 're going to use samples of size 50 . and what we do is for each of those samples , we calculate the sample variance based on dividing by n , by dividing by n minus 1 and n minus 2 . and as we keep having more and more and more samples , we take the mean of the variances calculated in different ways . | is there a mathematical proof than n-1 is better , or is it all based on intuition and empirically experimenting with different ways of getting the least biased sample variance ? |
here is a simulation created by khan academy user justin helps that once again tries to give us an understanding of why we divide by n minus 1 to get an unbiased estimate of population variance when we 're trying to calculate the sample variance . so what he does here , the simulation , it has a population that has a u... | so we 're always , when we calculate our sample variance using this formula , when we use of the sample mean to do it , which we typically do , we 're always getting a lower variance than when we use the population mean . now this over here , when we divide by n minus 1 , we 're not always underestimating . sometimes w... | how do i know when i need to divide n-1 when there or problems you dont have to do that ? |
here is a simulation created by khan academy user justin helps that once again tries to give us an understanding of why we divide by n minus 1 to get an unbiased estimate of population variance when we 're trying to calculate the sample variance . so what he does here , the simulation , it has a population that has a u... | in the vertical axis , using this denominator , dividing by n , we calculate two different variances . one variance , we use the sample mean . the other variance , we use the population mean . | if you use a single data set and calculate both the sample and population standard deviations the sample standard deviation will always be large , why ? |
here is a simulation created by khan academy user justin helps that once again tries to give us an understanding of why we divide by n minus 1 to get an unbiased estimate of population variance when we 're trying to calculate the sample variance . so what he does here , the simulation , it has a population that has a u... | then we start sampling from that population . we 're going to use samples of size 50 . and what we do is for each of those samples , we calculate the sample variance based on dividing by n , by dividing by n minus 1 and n minus 2 . and as we keep having more and more and more samples , we take the mean of the variances... | does the n-1 portion of the sample standard deviation ( ssd ) formula ever change when you are computing the ssd for multiple samples ? |
here is a simulation created by khan academy user justin helps that once again tries to give us an understanding of why we divide by n minus 1 to get an unbiased estimate of population variance when we 're trying to calculate the sample variance . so what he does here , the simulation , it has a population that has a u... | and just to be clear what we 're talking about in these three graphs , let me take a screen shot of it and explain it in a little bit more depth . so just to be clear , in this red graph right over here , let me do this . a color close to at least . | any ideas why the red curve on the upper right looks like a parabola ? |
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