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let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . | how do i find the cube root of a decimal ? |
let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | and from our exponent properties , we know that this is the exact same thing as the cube root of 2 times 5 times the cube root -- so let me do that in that same , just so we see what colors we 're dealing with . so the cube root of 2 times 5 , which is the cube root of 10 , times the cube root -- and i think you see wh... | how to calculate the cube root of numbers that are less than 1 ? |
let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | and from our exponent properties , we know that this is the exact same thing as the cube root of 2 times 5 times the cube root -- so let me do that in that same , just so we see what colors we 're dealing with . so the cube root of 2 times 5 , which is the cube root of 10 , times the cube root -- and i think you see wh... | is there a video where i can learn how to simplify a cube root out of a denominator ? |
let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | and from our exponent properties , we know that this is the exact same thing as the cube root of 2 times 5 times the cube root -- so let me do that in that same , just so we see what colors we 're dealing with . so the cube root of 2 times 5 , which is the cube root of 10 , times the cube root -- and i think you see wh... | can someone tell me the steps for finding cube root of a non perfect cube by long division method ? |
let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | if you do n't have the equal sign and instead you have the almost equals sign would that number be imaginary or a real number ? |
let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | and from our exponent properties , we know that this is the exact same thing as the cube root of 2 times 5 times the cube root -- so let me do that in that same , just so we see what colors we 're dealing with . so the cube root of 2 times 5 , which is the cube root of 10 , times the cube root -- and i think you see wh... | what is the cube root of 1331 ? |
let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . | how to find cube root through methods other than factorisation ? |
let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | and from our exponent properties , we know that this is the exact same thing as the cube root of 2 times 5 times the cube root -- so let me do that in that same , just so we see what colors we 're dealing with . so the cube root of 2 times 5 , which is the cube root of 10 , times the cube root -- and i think you see wh... | how to check the cube root by estimation ? |
let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | keeping track of the colors is the hard part . and the cube root of 10 , we just leave it as 10 . we know the prime factorization of 10 is 2 times 5 , so you 're not going to just get a very simple integer answer here . | at the beginning , why did n't sal divide 3430 by 343 and 10 ? |
let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | so if i have 1,715 , and i 'm going to divide it by 5 . 5 does n't go into 1 . it goes into 17 three times . | at roughly 0 , when he is doing the long divison of 1715 by 5 , why does he make one of the lines curved ? |
let 's see if we can find the cube root of 3,430 . and if you 're like me , it does n't jump out of your mind what number times that same number times that same number -- if you have three of those numbers and you were to multiply them together -- would be equal to 3,430 . so what i 'm going to do is to try to prime fa... | i have three 7 's , and then i 'm multiplying them together . so that 's 7 to the third power . and from our exponent properties , we know that this is the exact same thing as the cube root of 2 times 5 times the cube root -- so let me do that in that same , just so we see what colors we 're dealing with . | how can the seven to the third power equal seven ? |
in this video , we 're going to look at the biological redox reactions of alcohols in phenols . over here on the left , we have the ethanol molecule . so this is our 2-carbon alcohol . and the carbon that we 're most concerned with is this carbon right here , which has one bond to this oxygen atom . and in the liver , ... | and the carbon that we 're most concerned with is this carbon right here , which has one bond to this oxygen atom . and in the liver , ethanol is oxidized to ethanal . so over here on the right is the ethanal molecule -- a 2-carbon aldehyde . | what is the difference between ethanol and ethanal ? |
in this video , we 're going to look at the biological redox reactions of alcohols in phenols . over here on the left , we have the ethanol molecule . so this is our 2-carbon alcohol . and the carbon that we 're most concerned with is this carbon right here , which has one bond to this oxygen atom . and in the liver , ... | over here on the left , we have the ethanol molecule . so this is our 2-carbon alcohol . and the carbon that we 're most concerned with is this carbon right here , which has one bond to this oxygen atom . | what is the oxidation state of the carbon in benzene 1,2 - diol ? |
in this video , we 're going to look at the biological redox reactions of alcohols in phenols . over here on the left , we have the ethanol molecule . so this is our 2-carbon alcohol . and the carbon that we 're most concerned with is this carbon right here , which has one bond to this oxygen atom . and in the liver , ... | and just real fast , you could see that this carbon right now has two bonds of carbon to oxygen so it has been oxidized . so phenol can be oxidized to benzoquinone using numerous organic reagents . once you make benzoquinone , you could reduce that to this molecule over here on the right , which is called `` hydroquino... | is n't the oxidation from phenol to benzoquinone reversible ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | this angle is 45-degree angled . angle doc is adjacent because it shares this arm , this segment oc with angle cob . and then they give us the combined angle . if you take the two outer arms of the two angles , these two outer segments , if you look at angle bod , they tell us that that is 70 degrees . | what is an adjacent angle ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . | what is the little `` circle-cross '' picture inside angle boa ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | if you take the two outer arms of the two angles , these two outer segments , if you look at angle bod , they tell us that that is 70 degrees . so if the measure of the angle made from the two outer arms of these two adjacent angles , the two outer rays , if you kept going out like this , if that 's 70 degrees and one ... | maybe these angles are included ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? | xy is a segment drawn along one side of a triangle if c=70 and b =150 what is a ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . | so basically , decomposing an angle is making it into smaller angles that equal the original angle , like a straight angle can be decomposed into supplementary angles ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . | can you decompose more than one angle ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . | what does decomposing an angle mean ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | and what they do give us is they give us the measure of an adjacent angle . this angle is 45-degree angled . angle doc is adjacent because it shares this arm , this segment oc with angle cob . | does the degree of an angle increase as you measure further along the angle ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | so if the measure of the angle made from the two outer arms of these two adjacent angles , the two outer rays , if you kept going out like this , if that 's 70 degrees and one of the adjacent angles is 45 , then this one right over here must be 70 minus 45 . or another way of thinking about it is this angle , the quest... | for example , 2 inches from the vertex of angle abc is measured at 5 degrees , however , as we move along the angle and get to , say , 8 inches , would the degree of this same angle increase proportionally to 20 degrees ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . | what would happen if you had to subtract an angle and the difference would be less than 0 ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | if you take the two outer arms of the two angles , these two outer segments , if you look at angle bod , they tell us that that is 70 degrees . so if the measure of the angle made from the two outer arms of these two adjacent angles , the two outer rays , if you kept going out like this , if that 's 70 degrees and one ... | how might decomposing angles be used in everyday life ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | and then they give us the combined angle . if you take the two outer arms of the two angles , these two outer segments , if you look at angle bod , they tell us that that is 70 degrees . so if the measure of the angle made from the two outer arms of these two adjacent angles , the two outer rays , if you kept going out... | should we be able to take the pretest over ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | what is the measure of angle cob ? so this is c. this is o . | i am doing a problem on the dashboard and there is a hard problem with a bunch of different letters all of the measurement are in different spots how do i solve it ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . | why is it called 'decomposing ' an angle ? |
what is the measure of angle cob ? so this is c. this is o . and this is b . so they 're telling us , what is the measure of this angle right over here ? this is angle cob . and they clearly do n't give it to us . we need to figure it out . and what they do give us is they give us the measure of an adjacent angle . thi... | what is the measure of angle cob ? so this is c. this is o . | why is it called decomposing ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of times that we can use this scale in order to know ,... | how is it heavier if the balls are identical ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so we have these nine balls right over here . we 're going to assume that they are completely identical . | how does the man get 1/7 more each day ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | it has to be 100 percent chance after this number of weighings that you have the ball . and so what is the minimum number of those , what is the minimum number of weighings using the scale ? and i encourage you to pause the video and think about it as long as necessary to come up with your own conclusions . | if you have 5 uses of the scale , what is the minimum number of balls you have ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of times that we can use this scale in order to know , definitively , which is the heavier ball . | what about the case when 7 out of 8 balls have the same weight but one is heavier ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | but the exact same principle holds . if you had eight balls , you could split it up into two groups of three , and then two more . and then do the same , and then do the exact same process . | why do the divisions have to be split up into threes ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | say it 's going to tip down , so the left is heavier . or the right is heavier . or the right is heavier . | the least amount of weighings is 2 , right ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | and likewise , if the right goes down , if the right goes down , we know that this is going to be the heavy ball . so this is actually a little bit of a brain teaser that you see . it 's a pretty common one . | this is a logical question so start using your brain : - 8080= 6 1597= 1 3333=0 9999= ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so we can take this group of three right over here . put those three balls on that side of the scale . and then we can take these three balls , and put it on that side of the scale . | can you put the balls in many ways so you can see the amount of everything ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so now let 's work through it together . so i mentioned that in each weighing you can rule out 2/3 of the balls . so how do we do that ? | what would happen if you used 4 vs. 4 balls ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so my step two , i guess i could say , my step two . i now weigh one versus one . and once again i have the outcomes . | why did n't you tell us you can you can weigh multiple balls on one side at a time ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so my step two , i guess i could say , my step two . i now weigh one versus one . and once again i have the outcomes . | one person at house 10 balls red and magenta stained glass on 200,000 street wat is it ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so we have these nine balls right over here . we 're going to assume that they are completely identical . | the amount of balls used affects the minimum amount of steps right ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | and so you could use this principle , if you want , to drive other brain teasers . what if you had 27 balls ? how many weighings would you need ? | how man balls can you use ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so now i 'm assuming you 've had a go at it and maybe you were able to figure it out . maybe you were n't . so now let 's work through it together . | if we have 3^n balls , the minimum number of weightings is n right ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | if this is group one , group two , group three , then this tells you that group three has heavy ball . has heavy ball . if the left is heavier , then we know group one has the heavy ball . | can u rule out the ball in 2 weighs only ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | if this is group one , group two , group three , then this tells you that group three has heavy ball . has heavy ball . if the left is heavier , then we know group one has the heavy ball . | hmm so 3 groups of heavy balls can balance ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so my step two , i guess i could say , my step two . i now weigh one versus one . and once again i have the outcomes . | how many balls can you weigh on one side ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so we have these nine balls right over here . we 're going to assume that they are completely identical . | how do you get the right amount of balls ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so my step two , i guess i could say , my step two . i now weigh one versus one . and once again i have the outcomes . | am i the only one that noticed how amazing his scale looked ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | if this is group one , group two , group three , then this tells you that group three has heavy ball . has heavy ball . if the left is heavier , then we know group one has the heavy ball . | would n't you also be able to do a 2 ball vs 2 ball ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so if that helps you , once again , pause the video . so now i 'm assuming you 've had a go at it and maybe you were able to figure it out . maybe you were n't . | i am blue and i go higher than green i am green i go higher than yellow but less than red i am red i go above blue but i am less than black i am black , i go higher than red but less than white i am white , i go higher than blue but less than yellow i am yellow , i go above white but i am less than orange i am orange ,... |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | and then we can take these three balls , and put it on that side of the scale . and so you 're essentially weighing three versus three balls . now , there 's a couple of outcomes here . | 4 why do you divide the balls into three groups ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | and so you could use this principle , if you want , to drive other brain teasers . what if you had 27 balls ? how many weighings would you need ? | what if the number of balls is prime ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so now let 's work through it together . so i mentioned that in each weighing you can rule out 2/3 of the balls . so how do we do that ? | how will group 3 be even if there is only 3 balls ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so , actually let me write it this way . if this is group one , group two , group three , then this tells you that group three has heavy ball . has heavy ball . | when group 1,2 are being balanced how will group 3 be balanced ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | and so you could use this principle , if you want , to drive other brain teasers . what if you had 27 balls ? how many weighings would you need ? | is the way different when there is an even number of balls ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so , actually let me write it this way . if this is group one , group two , group three , then this tells you that group three has heavy ball . has heavy ball . | if the 1 and 2 group of balls are balanced , but can we say that 3 group is heavier than 1 and 2 , can it even be lesser ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so , actually let me write it this way . if this is group one , group two , group three , then this tells you that group three has heavy ball . has heavy ball . | if the balls in group three are a , b , and c respectively , then : if a > b and b > c then , a is the heaviest but , if a > b and b < c then you must compare a & c is this correct ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | if this is group one , group two , group three , then this tells you that group three has heavy ball . has heavy ball . if the left is heavier , then we know group one has the heavy ball . | how can you tell which ball is heavier if everything seems balanced ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so my step two , i guess i could say , my step two . i now weigh one versus one . and once again i have the outcomes . | if you what to find which one , do n't you just 'take one out , divide the remaining between the scale plates , and : if equal , defect is the one you removed , if not take wether light , take higher , repeat , if heavier take lower , repeat if one left on each side , you 'll know which is defect or not' ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | and so you could use this principle , if you want , to drive other brain teasers . what if you had 27 balls ? how many weighings would you need ? | i think you would need this : * some drawing functions ( for the graphics ) * 2 variables holding different values ( for the balls , 8 balls use 1 variable the other ball uses the other variable ) * the boolean comparators > , < , = ( true , false , to compare the balls ) * some kind of drag and drop function ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so now let 's work through it together . so i mentioned that in each weighing you can rule out 2/3 of the balls . so how do we do that ? | does the first mentioned statement define the weight of all the other balls ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | has heavy ball . if the left is heavier , then we know group one has the heavy ball . group one has the heavy ball . | how do you exactly know which one is heavier than all the rest ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of times that we can use this scale in order to know , definitively , which is the heavier ball . | how much lighter balls equal 1 heavier ball ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of times that we can use this scale in order to know , definitively , which is the heavier ball . so there 's some number of weighings using the scale , that ... | how do you know that the scale is even before ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so we can take this group of three right over here . put those three balls on that side of the scale . and then we can take these three balls , and put it on that side of the scale . | what happpens when the other three balls unbalance the scale ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | what if you had 27 balls ? how many weighings would you need ? what if you had 81 ? | how many points does cam have ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | but the exact same principle holds . if you had eight balls , you could split it up into two groups of three , and then two more . and then do the same , and then do the exact same process . | sal said `` 2 groups of 3 '' .. does not it mean that two groups with each consisting of 3 members ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | we have essentially narrowed it down . we now know that our heavy ball is one of three balls . it 's either one of these three , one of these three , or one of these three . | i came up with a solution of the minimum as 1 and also the second minimum as 3 , because if you took 4 balls and 4 other balls , weighed them , and it came out equal , then you 'd know it was the one you did n't weigh ( one ) but if it did n't come out equal , you 'd take the heavier stack , divide it , and put it on a... |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | if this is group one , group two , group three , then this tells you that group three has heavy ball . has heavy ball . if the left is heavier , then we know group one has the heavy ball . | question : if 9 balls are completely identical , and 2 are heavy , how many weighings will it take to figure out the 2 heavy balls ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | and my question to you is : what 's the minimum number of times that we can use this scale in order to know , definitively , which is the heavier ball . so there 's some number of weighings using the scale , that after that number of weighings i know for a fact that i 've found the heavier ball . we 're not going to do... | what is the easiest way to determine the amount of times you can get a number of weighings for any n balls ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | and then we can take these three balls , and put it on that side of the scale . and so you 're essentially weighing three versus three balls . now , there 's a couple of outcomes here . | is it possible to definitively determine in three weighings which of 13 apparently identical balls is heaviest or lightest ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | it 's a pretty common one . it 's actually even , sometimes you 'll hear it in some job interviews . but you can see , it comes out of the idea that through each weighing you can rule out 2/3 of the balls . | the sun is smaller from are view and when there is a solar eclipse the moon is closer so it looks bigger than the sun i wonder if thats correct even known the sun is the biggest star in our solar system ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so we have these nine balls right over here . we 're going to assume that they are completely identical . | what is christmas day on ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of times that we can use this scale in order to know , definitively , which is the heavier ball . so there 's some number of weighings using the scale , that ... | cant we use electronic weight scale ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so , actually let me write it this way . if this is group one , group two , group three , then this tells you that group three has heavy ball . has heavy ball . | is the collective weight of the balls in a group a good way to identify that the heavier ball is in that group ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of times that we can use this scale in order to know , definitively , which is the heavier ball . so there 's some number of weighings using the scale , that ... | the question is : who owns the fish ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so in the first weighing , what we essentially do is take our nine balls and put it into three groups of three . and we take two of those groups of three , so we take this group . let me actually do that in a different color . | so why sa n't we just take two groups of five , weigh 'em , and be done ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so in the first weighing , what we essentially do is take our nine balls and put it into three groups of three . and we take two of those groups of three , so we take this group . let me actually do that in a different color . | what if i wanted to take take an uneven amount of balls and only split them in half ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so my step two , i guess i could say , my step two . i now weigh one versus one . and once again i have the outcomes . | you have to find how many times you have to weigh at max to figure out which ball is the heavier one ? |
so we have these nine balls right over here . we 're going to assume that they are completely identical . at least they are identical in appearance . but one of the nine balls is heavier , just a little bit heavier , is heavier than the other eight balls . and my question to you is : what 's the minimum number of time... | so we have these nine balls right over here . we 're going to assume that they are completely identical . | what is happening to me ? |
( piano music ) when we think about the great tradition of religious painting in the west , the great christian tradition , we often think of painting on panels . but where did that begin ? we begin to really see painting in the west in the 12th and 13th centuries . and one of the most famous examples of this is an ... | this is a life-sized altarpiece , so francis is about five feet high . it would have stood on an altar and would have been the focus of religious meditation , of prayer . and although the depiction of the figure of francis is a common height , this is not a naturalistic depiction . | would the six winged creature be a seraph from the book of isaiah chapter 6 , or one of the six winged creatures mentioned in revelation 4 ? |
( piano music ) when we think about the great tradition of religious painting in the west , the great christian tradition , we often think of painting on panels . but where did that begin ? we begin to really see painting in the west in the 12th and 13th centuries . and one of the most famous examples of this is an ... | we do n't have an interest in the human body . this is not a man of the body , that we 're seeing francis as spirit here . you know , that brown robe and the simple belt made out of rope and the fact that he 's not wearing any shoes , he 's barefoot , all of these things are symbols of his humbleness in the world , of... | are stigmatas always recieved from the holy spirit or a seraph ? |
( piano music ) when we think about the great tradition of religious painting in the west , the great christian tradition , we often think of painting on panels . but where did that begin ? we begin to really see painting in the west in the 12th and 13th centuries . and one of the most famous examples of this is an ... | you know , that brown robe and the simple belt made out of rope and the fact that he 's not wearing any shoes , he 's barefoot , all of these things are symbols of his humbleness in the world , of the way in which he renounced the world 's wealth , the world 's pleasures , to live a life that was as close to christ 's... | do they have to be seen by the receiver of stigmata ? |
( piano music ) when we think about the great tradition of religious painting in the west , the great christian tradition , we often think of painting on panels . but where did that begin ? we begin to really see painting in the west in the 12th and 13th centuries . and one of the most famous examples of this is an ... | so what was important for francis and for his followers was to live a life of poverty , to follow the example of christ . now the franciscans , the order that comes from francis 's teaching , was a mendicant order , they lived by begging , and they lived in the relatively new cities that existed in italy . this was a... | what is the order of franciscans ? |
( piano music ) when we think about the great tradition of religious painting in the west , the great christian tradition , we often think of painting on panels . but where did that begin ? we begin to really see painting in the west in the 12th and 13th centuries . and one of the most famous examples of this is an ... | this is a painting that really does express a divine authority . in the early 13th century , byzantine icons , that is , images of the madonna , images of saints in a flat gold background , increasingly came to italy and influenced artists there like berlinghieri . the byzantine influence is in the elongation of the ... | in one of my art classes the professor stated that that piece of art was actually early , early renaissance , is that correct ? |
( piano music ) when we think about the great tradition of religious painting in the west , the great christian tradition , we often think of painting on panels . but where did that begin ? we begin to really see painting in the west in the 12th and 13th centuries . and one of the most famous examples of this is an ... | ( piano music ) when we think about the great tradition of religious painting in the west , the great christian tradition , we often think of painting on panels . but where did that begin ? | why when i click on `` seraph '' does only a walmart survey pop up ? |
( piano music ) when we think about the great tradition of religious painting in the west , the great christian tradition , we often think of painting on panels . but where did that begin ? we begin to really see painting in the west in the 12th and 13th centuries . and one of the most famous examples of this is an ... | the brown drape that he wears , that 's adopted by the monks in his order , hides his body underneath . we do n't have an interest in the human body . this is not a man of the body , that we 're seeing francis as spirit here . you know , that brown robe and the simple belt made out of rope and the fact that he 's not ... | why is a man 's naked body rendered with a such a strange sense of anatomy ( as ) in gothic panel paintings ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | now all of a sudden , they expect the prices to go up going forward . so now expect the future price to go up . what 's going to happen ? | why the demand dicrease when the expected price go down ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | so because of scenario two , demand was decreased . demand was decreased . | is it common that the changed demand is increased or decreased more significant for lower prices ( in the right bottom part of the demand curve ) ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . | are stores relying on pent up quantity demand for the day that they specify the price will drop ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | now all of a sudden , they expect the prices to go up going forward . so now expect the future price to go up . what 's going to happen ? | what is the price of gold right now , or how do we know the price of a good ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | so the current demand went up . the current demand curve shifted to the right . and now we can just take the other side of that . | for example more people are deciding to buy iphones would the demand curve for iphones shift or would it just move down to the right along the line ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | at any of these price points , because now the expectations have gone from being neutral to now expecting prices to go up , it will shift the entire curve to the right . so this will shift the entire curve to the right . so this right over here is scenario one . | how are these relations : the shape of the curve ( hyperbolic , not linear ) , the way the curve changes under certain circumstances ( such as a rightward shift with increased prices for a substitute ) , determined ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | now let 's talk about another one of those factors that we 've been holding constant . and think about how that would change demand , the entire curve , if we were to change that . and that 's expectations of future prices . | would it be fair to assume that change in expected future prices for 'service demand ' ( as opposed to 'product demand ' ) would be irrelevant ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | now let 's talk about another one of those factors that we 've been holding constant . and think about how that would change demand , the entire curve , if we were to change that . and that 's expectations of future prices . | what is the difference between a change in demand and a change in quantity demanded ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | but what we started talking about is what happens when you change some of those things that we 've been holding equal , how does that change demand ? in the last video , we talked about the price of related goods . and if the price of related goods change , both complements and substitutes , how that might increase or ... | what is price of related good mean ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we started talking about is what happens when you change some of those things that we 've been holding equal , how does that change demand ? | what does `` holding all else equal '' mean ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | and now we can just take the other side of that . imagine what happens in scenario two . before , people were neutral . | what happens if the product is not very good ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | imagine what happens in scenario two . before , people were neutral . that was our curve right there . | say the product is 8 $ but not a lot of people want it will you still get the expected number of people buying it or will you get fewer people buying it ? |
we 've been talking about the law of demand and how if we hold all else equal , if price goes up , the quantity demanded goes down . and if price goes down , the quantity demanded goes up . so if you hold all else equal , ceteris paribus , we 're just moving along this curve depending on what price . but what we starte... | so the current demand went up . the current demand curve shifted to the right . and now we can just take the other side of that . | why is the `` demand '' increasing , when the demand curve shifted to the right ? |
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