context
stringlengths
545
71.9k
questionsrc
stringlengths
16
10.2k
question
stringlengths
11
563
( jazzy piano music ) - [ steven ] we 're in the musée d'orsay , looking at déjeuner sur l'herbe , luncheon on the grass . - [ beth ] by manet , although it did n't originally have that title . it 's first title was the bath . - [ steven ] and there is really neither bathing -- - [ beth ] ( laughs ) - [ steven ] nor a ...
for example , the woman in the background seems to reach down to scoop something out of the water , but in fact she seems to be reaching down to the thumb of the man in the foreground , collapsing the last traces of the illusion of depth . - [ beth ] we also have figures who are rendered very flatly , so for example th...
why do the women have to be nude ?
( jazzy piano music ) - [ steven ] we 're in the musée d'orsay , looking at déjeuner sur l'herbe , luncheon on the grass . - [ beth ] by manet , although it did n't originally have that title . it 's first title was the bath . - [ steven ] and there is really neither bathing -- - [ beth ] ( laughs ) - [ steven ] nor a ...
- [ steven ] the the salon des refusés was set up by emperor napoleon iii , because so many works of art had been excluded from the official salon . but even though this painting was in the exhibition of rejected artwork , it still caused a storm of controversy , based both on what was being portrayed , but also its pa...
is this painting a iconic example of early impressionism ?
( jazzy piano music ) - [ steven ] we 're in the musée d'orsay , looking at déjeuner sur l'herbe , luncheon on the grass . - [ beth ] by manet , although it did n't originally have that title . it 's first title was the bath . - [ steven ] and there is really neither bathing -- - [ beth ] ( laughs ) - [ steven ] nor a ...
- [ beth ] these figures do n't look idealized , they do n't look timeless , they look like actual people you would see on the streets of paris . the other significant problem with these three figures , is that no one seems to be truly interacting . the nude female figure looks directly out at us in a gaze that is very...
why are the men dressed and one women is not ?
- i would like you to pause the video and think about what 64 minus 31 is . alright , now let 's think about this together . so what does 64 actually mean ? well we can use place value to think about that . the six is in the tens place and the four is in the ones place . so the six over here , that means six tens . it ...
so six tens minus three tens is three tens . and so 64 minus 31 is 33 . three tens and three ones .
how do you subtract numbers like 50-25 or 30-33 ?
- i would like you to pause the video and think about what 64 minus 31 is . alright , now let 's think about this together . so what does 64 actually mean ? well we can use place value to think about that . the six is in the tens place and the four is in the ones place . so the six over here , that means six tens . it ...
we 're going to take this away , we 're subtracting . we 're subtracting three tens and we 're subtracting one one . so let 's take away that one one .
if addition is the opposite of subtracting why is adding easier ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right angles . so if this is one line right there , a perpendicular line will look like this . a perpendicular line will intersect it , but it wo n't just be any inters...
what is an equivalant line ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
could you prove that slopes of perpendicular lines are negative inverses of each other using trigonometry ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself .
is there a more rigid definition for perpendicularity ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right angles . so if this is one line right there , a perpendi...
in a square can there be perpendicular line segments ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
so if this is one line right there , a perpendicular line will look like this . a perpendicular line will intersect it , but it wo n't just be any intersection , it will intersect at right angles . so these two lines are perpendicular .
if it does n't intersect at a 90 degree angle are they still perpendicular ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
so let 's figure out the slopes of each of these lines and figure out if any of them are the negative inverse of any of the other ones . so line a , the slope is pretty easy to figure out , it 's already in slope-intercept form , its slope is 3 . so line a has a slope of 3 .
how do you find the slope of a line parallel to the graph of equations ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
so we end up with 3y is equal to negative x minus 21 . and now let 's divide both sides of this equation by 3 and we get y is equal to negative 1/3 x minus 7 . so this character 's slope is negative 1/3 .
if i have an equation , ( in this case , -2=-1/3 ( -2 ) +b ) , what is the first thing i do ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
what does slope have to do with anything finding out what perpendicular lines are ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself .
in co-ordinate geometry , is it possible for the area of a triangle to be mathematically zero due to the individual signs of the ordinate/abcissa ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right angles . so if this is one line right there , a perpendi...
basically my question is , what are the rules for a line to be perpendicular ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that . or you take the inverse of negative 1/3 , it 's negative 3 , and then this is the negative of that . so these two lines are definitely perpendicular .
how can 3 be the negative of -3 ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that . or you take the inverse of negative 1/3 , it 's negative 3 , and then this is the negative of that . so these two lines are definitely perpendicular .
or how can 3 be the negative inverse of -1/3 ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
so here m is equal to negative 1/3 . so we already see they are the negative inverse of each other . you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that .
and what 's the difference between reciprocal and inverse ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
so we already see they are the negative inverse of each other . you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that . or you take the inverse of negative 1/3 , it 's negative 3 , and then this is the negative of that .
why is n't m= -3 perpendicular to m= 3 ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that . or you take the inverse of negative 1/3 , it 's negative 3 , and then this is the negative of that . so these two lines are definitely perpendicular .
3 becomes -1/3 , is the whole fraction/reciprocal negative , or just the numerator ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right angles . so if this is one line right there , a perpendicular line will look like this . a perpendicular line will intersect it , but it wo n't just be any inters...
how does one write the equation of the perpendicular line just by the coordinate points ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
it may be beyond the scope of this lesson ... ..but why are the slopes of perpendicular lines negative reciprocals of each other ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right angles . so if this is one line right there , a perpendi...
when you have a linear equation and it asks to make a perpendicular line going through specific points , how do you do it ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
is orthogonal just a synonym for perpendicular , or is there a difference ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that . or you take the inverse of negative 1/3 , it 's negative 3 , and then this is the negative of that . so these two lines are definitely perpendicular .
why is the negative reciprocal related to right angles ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
a perpendicular line will intersect it , but it wo n't just be any intersection , it will intersect at right angles . so these two lines are perpendicular . now , if two lines are perpendicular , if the slope of this orange line is m -- so let 's say its equation is y is equal to mx plus , let 's say it 's b 1 , so it ...
can the y-intercepts of the lines be the same or do they have to be different ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
so let 's figure out the slopes of each of these lines and figure out if any of them are the negative inverse of any of the other ones . so line a , the slope is pretty easy to figure out , it 's already in slope-intercept form , its slope is 3 . so line a has a slope of 3 .
are you able to remove the fractions when trying to determine an equations slope intercept form ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that . or you take the inverse of negative 1/3 , it 's negative 3 , and then this is the negative of that . so these two lines are definitely perpendicular .
what the difference between opposite reciprocal slopes and negative inverse slopes ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that . or you take the inverse of negative 1/3 , it 's negative 3 , and then this is the negative of that . so these two lines are definitely perpendicular .
what the difference between opposite reciprocal slopes and negative inverse slopes ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
a perpendicular line will intersect it , but it wo n't just be any intersection , it will intersect at right angles . so these two lines are perpendicular . now , if two lines are perpendicular , if the slope of this orange line is m -- so let 's say its equation is y is equal to mx plus , let 's say it 's b 1 , so it ...
can two negative slopes be perpendicular ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right angles . so if this is one line right there , a perpendicular line will look like this . a perpendicular line will intersect it , but it wo n't just be any inters...
why is n't a perpendicular line just a line that intersects another line ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
line b , we have x plus 3y is equal to negative 21 . let 's subtract x from both sides so that it ends up on the right-hand side . so we end up with 3y is equal to negative x minus 21 .
do they really need to be intersected at a right angle ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
a perpendicular line will intersect it , but it wo n't just be any intersection , it will intersect at right angles . so these two lines are perpendicular . now , if two lines are perpendicular , if the slope of this orange line is m -- so let 's say its equation is y is equal to mx plus , let 's say it 's b 1 , so it ...
how do you find the intersection point of 2 lines when given the equations , without graphing ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that . or you take the inverse of negative 1/3 , it 's negative 3 , and then this is the negative of that . so these two lines are definitely perpendicular .
3 becomes -1/3 , is the whole fraction/reciprocal negative , or just the numerator ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right angles . so if this is one line right there , a perpendicular line will look like this . a perpendicular line will intersect it , but it wo n't just be any inters...
how is line a and c are perpendicular if one answer is positive and the other slope is negative and also in a fraction ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself .
what does m stand for ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that . or you take the inverse of negative 1/3 , it 's negative 3 , and then this is the negative of that . so these two lines are definitely perpendicular .
what if 2 lines have gradients which are negative reciprocals of each other , but they have the same y-intercept too ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
a perpendicular line will intersect it , but it wo n't just be any intersection , it will intersect at right angles . so these two lines are perpendicular . now , if two lines are perpendicular , if the slope of this orange line is m -- so let 's say its equation is y is equal to mx plus , let 's say it 's b 1 , so it ...
what are two perpendicular lines ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right angles . so if this is one line right there , a perpendi...
hi how do we know what a perpendicular line is if they are not telling us ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and now let 's divide both sides of this equation by 3 and we get y is equal to negative 1/3 x minus 7 . so this character 's slope is negative 1/3 . so here m is equal to negative 1/3 .
if we already have a negative slope then how would we convert it in to perpendicular equation for example if we have -2 as a slope for it to be converted into perpendicular it should be negative reciprocal , so would the slope be 1\2 and no negative ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
line b , it 's in standard form , not too hard to put it in slope-intercept form , so let 's try to do it . so let 's do line b over here . line b , we have x plus 3y is equal to negative 21 .
you can find the y=mx part , but how do you find the +b ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
if we subtract 3x from both sides , we get y is equal to negative 3x plus 10 . so our slope in this case is negative 3 . now this guy 's the negative of that guy , this guy 's slope is a negative , but not the negative inverse , so it 's not perpendicular . and this guy is the inverse of that guy but not the negative i...
in slope intercept form is it the case that x can be negative , b can be a negative but y can not be negative ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
so let 's figure out the slopes of each of these lines and figure out if any of them are the negative inverse of any of the other ones . so line a , the slope is pretty easy to figure out , it 's already in slope-intercept form , its slope is 3 . so line a has a slope of 3 . line b , it 's in standard form , not too ha...
when a line is in standard ( ax+by=c ) form would n't it be faster to use m = - a/b rather than convert it to slope-intercept form ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
you take the inverse of 3 , it 's 1/3 , and then it 's the negative of that . or you take the inverse of negative 1/3 , it 's negative 3 , and then this is the negative of that . so these two lines are definitely perpendicular .
in the video the negative inverse of 3 was -1/3 so is the negative inverse for 4 is -1/4 ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
a perpendicular line will intersect it , but it wo n't just be any intersection , it will intersect at right angles . so these two lines are perpendicular . now , if two lines are perpendicular , if the slope of this orange line is m -- so let 's say its equation is y is equal to mx plus , let 's say it 's b 1 , so it ...
why are the slopes of two perpendicular lines opposite inverses of each other ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
so let 's figure out the slopes of each of these lines and figure out if any of them are the negative inverse of any of the other ones . so line a , the slope is pretty easy to figure out , it 's already in slope-intercept form , its slope is 3 . so line a has a slope of 3 .
can anyone tell me why the yellow line 's slope is going to be the negative inverse ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right angles . so if this is one line right there , a perpendi...
what is a perpendicular line segment ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
what are the lines that are not parallel or perpendicular called ?
we are asked which of these lines are perpendicular . and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right an...
and it has to be perpendicular to one of the other lines , you ca n't be just perpendicular by yourself . and perpendicular line , just so you have a visualization for what for perpendicular lines look like , two lines are perpendicular if they intersect at right angles . so if this is one line right there , a perpendi...
why are four right angles formed when two lines are perpendicular ?
all right , i 'm going to compare two individuals . one individual with very compliant blood vessels , and that person is going to be , as a result of the fact that they 're compliant , they 're going to be very happy . and then one person with very non-compliant vessels . and that person will be sad . and we also have...
and let 's divide it out with a large line . so let 's imagine that we have now , for our first person who has compliant blood vessels in systole . what will that look like ?
so , when feeling the pulse , one is actualy feeling the enlargement of the vessels , as systole pressured blood passes through them ?
all right , i 'm going to compare two individuals . one individual with very compliant blood vessels , and that person is going to be , as a result of the fact that they 're compliant , they 're going to be very happy . and then one person with very non-compliant vessels . and that person will be sad . and we also have...
and you 've got your atherosclerosis . that did n't go away . because this is all just looking at two different parts of the heartbeat , the resting and the active part of the heartbeat .
why is n't this all being modeled with the flexible vessels , arterial and venous , shown as capacitors , and the whole thing layed out on a timing grid ?
so i have a picture for you of adolf fick . and this is probably the second most well-known adolf in history , but this adolf was well known for his science . he actually came up with some fantastic laws that we use in all sorts of different branches in science today . and we 're going to talk about one of his laws rig...
this d , that 's an interesting one . this is diffusion constant . and remember when we think about diffusion constant , there are two laws that might jump into your head .
are we holding the temperature constant for this experiment and so for the equation ?
so i have a picture for you of adolf fick . and this is probably the second most well-known adolf in history , but this adolf was well known for his science . he actually came up with some fantastic laws that we use in all sorts of different branches in science today . and we 're going to talk about one of his laws rig...
probably much more than $ 5 . so this is exactly what fick 's law talks about . it talks about the idea of amounts of particles moving over time .
is the dot over the letter ( here , v ) unique to fick 's law or will it be seen in other applications/formulas ?
so i have a picture for you of adolf fick . and this is probably the second most well-known adolf in history , but this adolf was well known for his science . he actually came up with some fantastic laws that we use in all sorts of different branches in science today . and we 're going to talk about one of his laws rig...
you might think of that as like a moles or some numerical value , or the volume of a gas that 's moving across . so that 's why sometimes you 'll see it as v , to refer to volume . on the other side , this bit makes perfect sense .
so my question is , does the variable v have units of time in it and what are the exact units of v ?
so i have a picture for you of adolf fick . and this is probably the second most well-known adolf in history , but this adolf was well known for his science . he actually came up with some fantastic laws that we use in all sorts of different branches in science today . and we 're going to talk about one of his laws rig...
this d , that 's an interesting one . this is diffusion constant . and remember when we think about diffusion constant , there are two laws that might jump into your head .
can you explain how to derive diffusion constant ( d ) = `` solubility '' /sqrt ( molecular weight ) , and why ?
so i have a picture for you of adolf fick . and this is probably the second most well-known adolf in history , but this adolf was well known for his science . he actually came up with some fantastic laws that we use in all sorts of different branches in science today . and we 're going to talk about one of his laws rig...
this blue wall is the back wall of the box . and on the front wall , i 'm actually going to put in some little molecules . let 's say there are some molecules i 'll put in , i do n't know , let 's say three or four molecules here . and the challenge is this , if a molecule gets from the front of the box -- i 'm going t...
in my head i thought more molecules means instead ab increase in density ?
so i have a picture for you of adolf fick . and this is probably the second most well-known adolf in history , but this adolf was well known for his science . he actually came up with some fantastic laws that we use in all sorts of different branches in science today . and we 're going to talk about one of his laws rig...
so sometimes you 'll see this as delta p , and delta just means difference . this a , we said , refers to just surface area . of course if you have a greater surface area , that 's going to allow for more of the molecules to get across .
you said you were going to increase the surface area , but would n't making the wall longer increase the volume of the cube faster than the surface area of that one wall ?
so i have a picture for you of adolf fick . and this is probably the second most well-known adolf in history , but this adolf was well known for his science . he actually came up with some fantastic laws that we use in all sorts of different branches in science today . and we 're going to talk about one of his laws rig...
and the part of the box that 's facing you , that 's nearest you , is that blue wall that i kind of shaded in . this blue wall is the back wall of the box . and on the front wall , i 'm actually going to put in some little molecules .
so would n't this actually be decreasing the chances of a single molecule hitting wall 2 ?
so i have a picture for you of adolf fick . and this is probably the second most well-known adolf in history , but this adolf was well known for his science . he actually came up with some fantastic laws that we use in all sorts of different branches in science today . and we 're going to talk about one of his laws rig...
probably much more than $ 5 . so this is exactly what fick 's law talks about . it talks about the idea of amounts of particles moving over time .
when was fick 's law first introduced ?
so i have a picture for you of adolf fick . and this is probably the second most well-known adolf in history , but this adolf was well known for his science . he actually came up with some fantastic laws that we use in all sorts of different branches in science today . and we 're going to talk about one of his laws rig...
if you have more molecules moving around -- that 's another way of saying just increasing the pressure , that 's increasing the pressure at that position one -- then you 're going to have a better chance of having molecules move across . so increased pressure at one . and what 's a fourth idea ?
i believe js= v/a , dx=t , bs = d , and somehow ds and d [ s ] relate to the concentration gradient that creates the pressure , is this correct ?
so i have a picture for you of adolf fick . and this is probably the second most well-known adolf in history , but this adolf was well known for his science . he actually came up with some fantastic laws that we use in all sorts of different branches in science today . and we 're going to talk about one of his laws rig...
so to go through this piece by piece , this is v with a dot over it . this is the rate of particles moving . and when i say rate , you know that that means that there 's some time component . so this gets to what the challenge was .
how can v be a rate if there is no time on the denominator ?
so , we have three functions here . what i want to do together is think about whether each of these functions are even or odd . and just as a little bit of a reminder , for an even function , if you were to input -x into the function , it 's the same thing as inputing x . at f ( -x ) is the same thing as f ( x ) . for...
g ( x ) buried in here . and you might just be able to look at it , and say , `` okay , look , this is `` an even function there , this is an `` even function , but this is an odd function , `` and this is an odd function . '' has a third degree term , and a first degree term . so it 's a mixture of even and odd functi...
is there a term for a function that is neither even nor odd ?
so , we have three functions here . what i want to do together is think about whether each of these functions are even or odd . and just as a little bit of a reminder , for an even function , if you were to input -x into the function , it 's the same thing as inputing x . at f ( -x ) is the same thing as f ( x ) . for...
and that 's because we swapped signs on the odd terms , not on the even terms . so this one right over here is neither even nor odd .
a polynomial with factors of one and itself is called a/an ?
so , we have three functions here . what i want to do together is think about whether each of these functions are even or odd . and just as a little bit of a reminder , for an even function , if you were to input -x into the function , it 's the same thing as inputing x . at f ( -x ) is the same thing as f ( x ) . for...
g ( x ) buried in here . and you might just be able to look at it , and say , `` okay , look , this is `` an even function there , this is an `` even function , but this is an odd function , `` and this is an odd function . '' has a third degree term , and a first degree term . so it 's a mixture of even and odd functi...
is there a possibility that there will be a term for a function that is neither an even nor odd ?
so , we have three functions here . what i want to do together is think about whether each of these functions are even or odd . and just as a little bit of a reminder , for an even function , if you were to input -x into the function , it 's the same thing as inputing x . at f ( -x ) is the same thing as f ( x ) . for...
and just as a little bit of a reminder , for an even function , if you were to input -x into the function , it 's the same thing as inputing x . at f ( -x ) is the same thing as f ( x ) . for an odd function , if you input -x into the function that 's going to be the same thing as a negative of inputting x into the fun...
for example , f ( x ) =x^11-x^9+x^5 would be odd because all of the exponents are odd ?
so , we have three functions here . what i want to do together is think about whether each of these functions are even or odd . and just as a little bit of a reminder , for an even function , if you were to input -x into the function , it 's the same thing as inputing x . at f ( -x ) is the same thing as f ( x ) . for...
so that 's just going to be negative seven x to the sixth , and then plus three . well negative x to the fourth power , i do n't wan na skip a step here , so this is negative x to the sixth power plus three times negative x to the fourth power minus nine times negative x squared . and then we have plus eight .
where did the negative go ?
so , we have three functions here . what i want to do together is think about whether each of these functions are even or odd . and just as a little bit of a reminder , for an even function , if you were to input -x into the function , it 's the same thing as inputing x . at f ( -x ) is the same thing as f ( x ) . for...
and just as a little bit of a reminder , for an even function , if you were to input -x into the function , it 's the same thing as inputing x . at f ( -x ) is the same thing as f ( x ) . for an odd function , if you input -x into the function that 's going to be the same thing as a negative of inputting x into the fun...
is there any general relation between the graph of f ( x ) and 1 / f ( x ) ?
so , we have three functions here . what i want to do together is think about whether each of these functions are even or odd . and just as a little bit of a reminder , for an even function , if you were to input -x into the function , it 's the same thing as inputing x . at f ( -x ) is the same thing as f ( x ) . for...
actually let me just write this , let me write it all out . so negative x to the fourth minus 10 times negative x , to the third power , plus -x squared minus -x . so this is just x to the fourth , this is the negative of positive x to the third , this is the same thing as x squared , and this , well , that 's just -x ...
a negative x value and positive x value will equal to the same y value ?
perform a reflection over the line y is equal to negative 1/3 x . and then they want us to figure out what these different points map to on the reflection . and then they ask , is the slope of the segment between point a and its image is , and then blank , the slope of the segment between point b and its image . so let...
so negative 1/3 x . so its y-intercept is 0 . and it has a slope of negative 1/3 , which means every time -- whoops , so let me put this right over here -- and that means every time we move positive 3 in the x direction , we move down once in the y direction .
why is the y intercept at zero ?
perform a reflection over the line y is equal to negative 1/3 x . and then they want us to figure out what these different points map to on the reflection . and then they ask , is the slope of the segment between point a and its image is , and then blank , the slope of the segment between point b and its image . so let...
and so that is the point negative 4 , 8 . and point b maps to this point , which is the point 8 , positive 4 . and then , they say the slope of the segment between point a and its image , so that 's this segment between point a and its image .
how do i know the reflected point given a point and the formula of the reflected line without using a coordinate plane ?
perform a reflection over the line y is equal to negative 1/3 x . and then they want us to figure out what these different points map to on the reflection . and then they ask , is the slope of the segment between point a and its image is , and then blank , the slope of the segment between point b and its image . so let...
whoops . to do the reflection , i 've got to press this . so let 's do our reflection . there we go .
can a reflection always be used in place of a rotation and translation ?
perform a reflection over the line y is equal to negative 1/3 x . and then they want us to figure out what these different points map to on the reflection . and then they ask , is the slope of the segment between point a and its image is , and then blank , the slope of the segment between point b and its image . so let...
perform a reflection over the line y is equal to negative 1/3 x . and then they want us to figure out what these different points map to on the reflection .
what does the equation mean ?
perform a reflection over the line y is equal to negative 1/3 x . and then they want us to figure out what these different points map to on the reflection . and then they ask , is the slope of the segment between point a and its image is , and then blank , the slope of the segment between point b and its image . so let...
so first , let 's perform the reflection over the line y is equal to negative 1/3 x . so we want to reflect . so negative 1/3 x .
my question is , how am i suppose to perform reflections on pieces of paper , without the reflect tool that khan academy provides ?
perform a reflection over the line y is equal to negative 1/3 x . and then they want us to figure out what these different points map to on the reflection . and then they ask , is the slope of the segment between point a and its image is , and then blank , the slope of the segment between point b and its image . so let...
so we want to reflect . so negative 1/3 x . so its y-intercept is 0 .
what is the reflection of triangle ( 1,4 ) ( 3 , -2 ) ( 4,2 ) over the x-axis ?
perform a reflection over the line y is equal to negative 1/3 x . and then they want us to figure out what these different points map to on the reflection . and then they ask , is the slope of the segment between point a and its image is , and then blank , the slope of the segment between point b and its image . so let...
and so that is the point negative 4 , 8 . and point b maps to this point , which is the point 8 , positive 4 . and then , they say the slope of the segment between point a and its image , so that 's this segment between point a and its image .
is there a way to know where the reflected point will be without drawing the line of symmetry ?
perform a reflection over the line y is equal to negative 1/3 x . and then they want us to figure out what these different points map to on the reflection . and then they ask , is the slope of the segment between point a and its image is , and then blank , the slope of the segment between point b and its image . so let...
perform a reflection over the line y is equal to negative 1/3 x . and then they want us to figure out what these different points map to on the reflection .
why do two reflections result in a rotation ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so if the number of suppliers goes up , then the aggregate supply would go up at any given price point . if the number of suppliers were to go down , then the aggregate supply would go down at any given price point . so this one , hopefully , is somewhat obvious .
when sal talks about the number of suppliers going up , would n't the price go down and in turn make the quantity go down ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so if this becomes , at this price point , i 'd make less money , so i would produce less or maybe i would produce other things . so the whole supply curve would shift to the left . and also even the minimum price i would need to supply any of it would also go up , when you shift the curve to the left , because now all...
can anyone explain why the # of suppliers going up would make the supply curve shift out ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
and likewise , if my price of my inputs went down , now all of a sudden at any given price point , producing grapes would become more profitable and i would have more incentive to maybe produce grapes relative to other things and use more land for grapes than other things . and then you would have the whole curve shift...
so the curve would shift to the bottom and right ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
and also even the minimum price i would need to supply any of it would also go up , when you shift the curve to the left , because now all of a sudden , it costs me more to produce even that first unit . and likewise , if my price of my inputs went down , now all of a sudden at any given price point , producing grapes ...
will there ever be a point where the price per pound of grapes has gone up so much that quantity supplied will decrease ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
do not sell it today and wait to sell it in the future , if you 're sure that 's what 's going to happen . if there 's a change in expected future prices -- so if you go from neutral to expecting prices go up -- prices go up in the future , then you 're going to hoard your goods . you ca n't hoard grapes , because the ...
does n't the producer only control the prices ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so if the price of my inputs , or if the price of my cost -- or if the size of my costs goes up , at any given price point , i 'd want to produce less . so if my price of inputs go up , my supply , the supply , would go down . so if this becomes , at this price point , i 'd make less money , so i would produce less or ...
so how can we sat that the prices go up so the supply increases ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it .
this may be a stupid question- what does it mean `` at any pricepoint '' ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so this one , hopefully , is somewhat obvious . then we could think about things like technology . and so this is just maybe , there 's some innovation , some new type of seed that with the same amount of work , the same amount of land , can produce that many more grapes .
i get the general gist of it , but i 'd like to know what the pricepoint means exactly ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
maybe we 'll say , ok , if it 's now more expensive to get grape seeds , maybe i 'll start planting something else , because i 'm not getting as much profit per pound of grape . so if the price of my inputs , or if the price of my cost -- or if the size of my costs goes up , at any given price point , i 'd want to prod...
why is there a minimum point on the y-axis ( price/lbs ) ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so what happens with the price of related goods . and we have to put our -- when we think about this , we do n't want to think of it from a demand point of view , because we 're talking about supply . you want to think about it from the producer 's point of view .
should n't the supplier keep the demand in mind ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so maybe i 'm a farmer -- and i know very little bit about farming , so i do n't even know if this is possible -- but maybe on my land , i 'm saying , well , some of my land is going to be for grapes and some of it is going to be for blueberries . and so what would happen if the price of a related good , in particular ...
what would happen if all factors are changing ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so if this becomes , at this price point , i 'd make less money , so i would produce less or maybe i would produce other things . so the whole supply curve would shift to the left . and also even the minimum price i would need to supply any of it would also go up , when you shift the curve to the left , because now all...
and how would the supply curve ( relationship between prices and quantities supplied ) be look like ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
the price of inputs might go down . so that would make your supply go up . or you could just say , hey , look , there 's just going to be more grapes popping off of these new types of vines that we got , so we 're just going to produce more grapes .
would n't the current supply go up because people would want to buy and stock things for the future at the present cost ( which is lower ) ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
and likewise , if my price of my inputs went down , now all of a sudden at any given price point , producing grapes would become more profitable and i would have more incentive to maybe produce grapes relative to other things and use more land for grapes than other things . and then you would have the whole curve shift...
so what sal is talking about is in a perfect world right ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
hey , obviously , if i can make more money off of blueberries now all of a sudden , i 'm going to allocate more of my land to blueberries than to grapes . supply of grapes will go down . now , let 's think about what happens with the number of suppliers .
for instance , using the example of the grapes , how does the supply of others influence my own supply ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so if the price of my inputs , or if the price of my cost -- or if the size of my costs goes up , at any given price point , i 'd want to produce less . so if my price of inputs go up , my supply , the supply , would go down . so if this becomes , at this price point , i 'd make less money , so i would produce less or ...
is there a difference between supply and production ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so if the number of suppliers goes up -- and now you would n't imagine -- this is a curve maybe for the aggregate supply . so if the number of suppliers goes up , then the aggregate supply would go up at any given price point . if the number of suppliers were to go down , then the aggregate supply would go down at any ...
if the supply of a good goes up when a price goes up ( because suppliers want to profit as much as they can at the higher price ) , would n't the increase in production output cause the price to drop ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
and so once again , the price of related goods -- well , it depends which related goods -- but if the price of productive substitutes -- so price of other things i could produce , other things i can produce . if the price of other things i can produce goes up , then my supply of grapes , once again , would go down . an...
the price goes up to $ 18 and spalding decides to produce 850 basketballs , would n't the surplus of basketballs cause the price to go down ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so if the price of my inputs , or if the price of my cost -- or if the size of my costs goes up , at any given price point , i 'd want to produce less . so if my price of inputs go up , my supply , the supply , would go down . so if this becomes , at this price point , i 'd make less money , so i would produce less or ...
is it supply v , or quantity supply v ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
and i would allocate more of my land to blueberries than to grapes . and so once again , the price of related goods -- well , it depends which related goods -- but if the price of productive substitutes -- so price of other things i could produce , other things i can produce . if the price of other things i can produce...
in the case of the cost of related products , how would the price increase/decrease of products that are directly related to the produce affect the supply ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
and also even the minimum price i would need to supply any of it would also go up , when you shift the curve to the left , because now all of a sudden , it costs me more to produce even that first unit . and likewise , if my price of my inputs went down , now all of a sudden at any given price point , producing grapes ...
for ex - in the case of the grape example how would the increase of price of wine affect the demand for grapes ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so if this becomes , at this price point , i 'd make less money , so i would produce less or maybe i would produce other things . so the whole supply curve would shift to the left . and also even the minimum price i would need to supply any of it would also go up , when you shift the curve to the left , because now all...
would it be wrong to say income affects the supply curve ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
you might be able to , i do n't know , turn them into wine or something . but if we 're talking about something like oil , you would say , hey , why should i pump all of the fixed amount of oil in the ground today to sell at today 's lower prices ? i 'm going to lower the supply today , so i can sell it in the future .
for the oil analogy , there is a fixed amount of oil so it makes sense to not sell it , but if there was an infinite amount of oil , would it just be more profitable to sell it the whole time ?
in the last video , we introduced ourselves to the law of supply . and it was a fairly common sense idea that if we hold all else equal , that if the price of something goes up , there 's more incentive for more producers to produce it or a given producer to produce more of it . and we saw that . as the price goes up ,...
so the expected future prices , price expectations . now let 's go away from the grapes , because grapes , they 're perishable goods , they go bad . it 's not like you can save goods to use them later .
what if you were selling prunes and grapes , would quantity supplied of grapes go up to produce both or would the most popular of the two go up ?