context
stringlengths
545
71.9k
questionsrc
stringlengths
16
10.2k
question
stringlengths
11
563
in the last video , we started on this problem right here , where we said let omega be a complex cube root of unity , and omega can not be equal to 1 . and so we figured out what all of the complex cube roots of unity were . we figured out -- well , we knew that 1 was one of them , and we used that to factor out this t...
and then the third one gives us 1 . so r2 would be 5 or 2 . and then r3 would be equal to 3 or 6 .
why should w^2 = conjugate of w ?
in the last video , we started on this problem right here , where we said let omega be a complex cube root of unity , and omega can not be equal to 1 . and so we figured out what all of the complex cube roots of unity were . we figured out -- well , we knew that 1 was one of them , and we used that to factor out this t...
you add negative 1 to 1 , it 's going to be equal to 0 . so essentially , what it was asking us , what 's the probability that i get , for each of these terms , that i get one each of each of these powers of omega ? or another way of thinking about this , what 's the probability -- so if we think of it this way .
so we should get double the probability of what you got in the end ?
in the last video , we started on this problem right here , where we said let omega be a complex cube root of unity , and omega can not be equal to 1 . and so we figured out what all of the complex cube roots of unity were . we figured out -- well , we knew that 1 was one of them , and we used that to factor out this t...
and we 're done . it was n't too bad , i think . the probability of getting omega to the r1 plus omega to the r2 plus omega to the r3 , where r1 and r2 and r3 are numbers obtained from rolling a fair die , the probability -- when you add all of these , it 's going to be equal to 0 -- is 2/9 . and i thought that was a p...
why the probability for r1 , r2 , r3 ca n't be found out by 6c2 ( combination ) ?
in the last video , we started on this problem right here , where we said let omega be a complex cube root of unity , and omega can not be equal to 1 . and so we figured out what all of the complex cube roots of unity were . we figured out -- well , we knew that 1 was one of them , and we used that to factor out this t...
you could rearrange this six ways . you have three terms , and you 're putting them in three places . so in the first place , you could put three of the terms .
why is sal taking the three numbers that are obtained upon rolling the die to be different ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
so the distance is 3000 , so we have d is equal to 3000 miles . we have 3,000 miles is the distance , and that 's going to be equal to the constant of variation . the constant of variation times the time , times 6 hours . so , if we wan na solve for the constant of variation , we can just divide both sides by 6 hours .
in direct variation , as x increases , does y always have to increase ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
so the distance is 3000 , so we have d is equal to 3000 miles . we have 3,000 miles is the distance , and that 's going to be equal to the constant of variation . the constant of variation times the time , times 6 hours . so , if we wan na solve for the constant of variation , we can just divide both sides by 6 hours .
if the constant is negative , then y will decrease as x increases , right ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it .
how long will the food last if all the soldiers leave ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
fired 500 miles per hour , and that is equal to k. so , the constant proportionality is 500 miles per hour , or you could say 500 if you 're not too worried about the units . or , we should say , the constant of variation , to use the terminology that they actually use in the question .
how would someone answer a question that is asking something like , if some factor changed a part of the direct variation , would it still stay a direct variation ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
so the distance is 3000 , so we have d is equal to 3000 miles . we have 3,000 miles is the distance , and that 's going to be equal to the constant of variation . the constant of variation times the time , times 6 hours . so , if we wan na solve for the constant of variation , we can just divide both sides by 6 hours .
what exactly is `` constant of variation '' ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
so the distance is 3000 , so we have d is equal to 3000 miles . we have 3,000 miles is the distance , and that 's going to be equal to the constant of variation . the constant of variation times the time , times 6 hours . so , if we wan na solve for the constant of variation , we can just divide both sides by 6 hours .
can someone tell me does inverse variation and partial variation means the same thing ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
so , some specific object , the amount , the distance that it travels is directly , it varies directly , it varies directly with the amount of time that it travels . so , if we think of in , in , in terms of constants of proportionality , and direct variation , we could say that the distance , we could say that the dis...
could someone please explain how direct and direct variation works when there is a square root or squared variable ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
so , i guess they 're talking about a specific object . so , some specific object , the amount , the distance that it travels is directly , it varies directly , it varies directly with the amount of time that it travels . so , if we think of in , in , in terms of constants of proportionality , and direct variation , we...
if the cost of a telephone conversation varies directly as the length of the time of conversation , and if the cost of six minutes is $ 0.90 , what would be the cost for a nine-minute call ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
6 hours , and we divide the right-hand side by 6 hours . and , so , 3,000 divided by 6 is 500 , and 6 divided by 6 is 1 . the hours also cancel out if you care about the units .
if 4 men and 2 boys do a piece of work in 8 days and 2 men and 4 boys do the same work in 6 days , then how much time would 1 man and 1 boy take to complete the work ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
and , so , the concept of proportionality , the left-hand side is just 500 , 500 , and then we have miles per hour , miles per hour . fired 500 miles per hour , and that is equal to k. so , the constant proportionality is 500 miles per hour , or you could say 500 if you 're not too worried about the units . or , we sho...
how do i know which is x , y , or k ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it .
if x increases by 20 % , what will be the corresponding change in y ?
so , in this problem , they 're telling us in outer space , the distance an object travels varies directly with the amount of time that it travels . and , that 's of course assuming that it 's not accelerating , and there 's no net force , and all of that on it . so , i guess they 're talking about a specific object . ...
so the distance is 3000 , so we have d is equal to 3000 miles . we have 3,000 miles is the distance , and that 's going to be equal to the constant of variation . the constant of variation times the time , times 6 hours . so , if we wan na solve for the constant of variation , we can just divide both sides by 6 hours .
what is the constant variation of y=3x ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed .
where would 2 1/2 go on the plane ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
so let 's do a couple more of these . so is negative 5 comma 0 graphed ? yep .
how does this skill apply in real life ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
consider the following coordinate pairs . and they give us a bunch right over here .
how do you do a coordinate pair that is in the middle of 2 numbers ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
let 's do one more of these . negative 8 comma 4 , so negative 8 comma 4 , we got lucky . the first one is not graphed -- negative 8 comma 4 .
which quadrant would ( 0 , -4 ) go in ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
4 comma 6 is right there . and negative 1 comma 0 is right there . so let 's do a couple more of these .
and which quadrant would ( 1,1/2 ) go in ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
so let 's do a couple more of these . so is negative 5 comma 0 graphed ? yep .
i understand the four quadrants already but where would the point ( 0,0 ) lie in ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
negative 8 comma 4 , so negative 8 comma 4 , we got lucky . the first one is not graphed -- negative 8 comma 4 . and we 're done .
how do you know which number to put first in the pair ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
consider the following coordinate pairs . and they give us a bunch right over here .
hoe do you place fractions on a coordinate grid ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
and you can verify that all of these others do seem to be graphed . 4 comma negative 8 is right there . negative 8 comma 3 is right over here .
and when i clicked on check the answer it said i was wrong and i do n't know why i have to drag the orange dot to a specific negative or positive line for my answer to be right why cant i just plot the orange dot on a random line and not get my answer right ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
let 's do one more of these . negative 8 comma 4 , so negative 8 comma 4 , we got lucky . the first one is not graphed -- negative 8 comma 4 .
what quadrant for ( -4 1/2,7 ) be in ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
it 's right over there . negative 4 comma positive 5 should be there . so that 's not graphed .
how do know were the negative and the positive are ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
negative 8 comma 4 , so negative 8 comma 4 , we got lucky . the first one is not graphed -- negative 8 comma 4 . and we 're done .
how do you know which number goes first ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
so that 's not graphed . so let me just select that one . let 's do one more of these .
how is one supposed to be good at math ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
consider the following coordinate pairs . and they give us a bunch right over here .
btw how do you make a ''play '' symbel ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
so let 's do a couple more of these . so is negative 5 comma 0 graphed ? yep .
which quadrant would the origin ( 0,0 ) be in ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
consider the following coordinate pairs . and they give us a bunch right over here .
what if the x and y coordinates are in the middle of a number ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
consider the following coordinate pairs . and they give us a bunch right over here .
were is the fraction coordinate plane at ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
consider the following coordinate pairs . and they give us a bunch right over here .
how many quadrants can a line graph have ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
consider the following coordinate pairs . and they give us a bunch right over here .
re ordered pairs : when letters of the alphabet are used in an equation , is it always the case that the letters are expressed as an ordered pair in the same order as they are in the alphabet ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
negative 8 comma 4 , so negative 8 comma 4 , we got lucky . the first one is not graphed -- negative 8 comma 4 . and we 're done .
is y ever considered the first component in the ordered pair ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
consider the following coordinate pairs . and they give us a bunch right over here .
how do you know which box you need to go in ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
consider the following coordinate pairs . and they give us a bunch right over here .
when the coordinate pairs are not in order , does that change the way the problem is made ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
it 's right over there . negative 4 comma positive 5 should be there . so that 's not graphed .
so will anything on the positive axis be in quadrant 1 , anything on the negative y axis on quadrant 2 , anything on the positive x axis on quadrant 1 , and anything on the negative x axis be in quadrant 4 ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
so that 's not graphed . so let me just select that one . let 's do one more of these .
how do you know witch is witch if you think there are two correct ansewers to you , but it says that there is only one ?
consider the following coordinate pairs . and they give us a bunch right over here . which of those pairs is not graphed below ? so let 's see , 3 comma negative 2 . so 3 comma negative 2 , well , actually , that looks like that first one is not graphed . so 3 comma negative 2 is n't graphed . and you can verify that a...
consider the following coordinate pairs . and they give us a bunch right over here .
how do you find the negitves ?
( piano jazz music ) we 're in the galleries at the crystal bridges museum of american art . i 'm seeing this beautiful , luminous mark rothko . it 's number 210 , number 211 , orange and it dates to 1960 . it is hard for me to verbalize my relationship with this painting . it just makes me want to be quiet . it surr...
( piano jazz music ) we 're in the galleries at the crystal bridges museum of american art . i 'm seeing this beautiful , luminous mark rothko .
or the heart of a volcano ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue .
which type of epithelial tissue is found in kidney tubules and why ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
basically it has three components . it has cells . it has what 's known as a ground substance and then it has fibers .
is the matrix made out of cells ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
blood is also an exception like adipose tissue and that it does not contain fibers . and the matrix of blood is the plasma and you can see the matrix , this yellowish liquid in which the blood cells are suspended . then we have osseous tissue or bone tissue .
and what exactly are these `` fibres '' that constitute the matrix ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue .
when the blood has the cell far away from each other , how can it be a connective tissue ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue .
how is bone an example of connective tissue ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
those are those brown cells that are kind of forming a pattern and the matrix in osseous tissue is what 's known as bone mineral or hydroxyapatite , which is basically collagen fibers with different minerals like phosphates , magnesium , calcium , et cetera . and then we have hyaline cartilage . the cells in hyaline ca...
can you please clearly explain the differences among tendon , ligament and cartilage ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
a stratified layer epithelium acts as that protective layer . let 's take a look at a section of simple epithelium and epithelial cells are attached to something known as the basement membrane . the basement membrane is not made up of cells but rather it 's made up of different types of fibers . for example one fiber t...
why the membrane of the membranous organelles is same the structure of cell membrane ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue .
what attaches the basement membrane to epithelium tissue ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
here are some more types of connective tissue . we have blood . blood is also an exception like adipose tissue and that it does not contain fibers .
why does n't blood have fibers ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue .
why would cuboidal tissue line tubules be associated with secretion ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
let 's talk about connective tissue . connective tissue supports tissues , connects tissues and separates different types of tissues from each other and then there are different types of connective tissue that do n't necessarily fall into these neat categories . what are some examples of connective tissue ?
the four tissues consist of body ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
let 's talk about connective tissue . connective tissue supports tissues , connects tissues and separates different types of tissues from each other and then there are different types of connective tissue that do n't necessarily fall into these neat categories . what are some examples of connective tissue ?
which of the four tissues include bone and endothelial ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
and the matrix of blood is the plasma and you can see the matrix , this yellowish liquid in which the blood cells are suspended . then we have osseous tissue or bone tissue . these cells in osseous tissue are known as osteocytes .
bone and endothelial important function ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
here are some more types of connective tissue . we have blood . blood is also an exception like adipose tissue and that it does not contain fibers .
does the basement membrane consists of blood capillaries ?
there are four different types of animal tissue that are all made up of eukaryotic cells . epithelial tissue , connective tissue , muscle tissue and nervous tissue . in this video we 're gon na talk about epithelial tissue and connective tissue . when you think about epithelial tissue you can think about it as a linin...
you can see the cells over there , those little dots . there 's no cell over here . you can see the fibers running through it .
can someone give a short and sweet definition of an epithelial cell ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
well , just like over here , we 're left with just the question mark . 3 minus 3 is 0 . so on the left-hand side , we 're left with just the question mark .
3 and the yellow blocks were all unknowns ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
we need to remove 3 from both sides . so we need to remove 3 . we need to subtract 3 from both sides of this equation in order to keep the scale balanced .
why is learning geometry so important if all we need is algebra to prosper ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
well , just like over here , we 're left with just the question mark . 3 minus 3 is 0 . so on the left-hand side , we 're left with just the question mark .
so the equation is x+3=10 ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
what is the average grade level for algebra ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
now , what do we have here on the right-hand side ? well , we just have 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 kilograms . so we just have 10 .
how many percent for 1.5 ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
who invented log and why ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
we need to remove 3 from both sides . so we need to remove 3 . we need to subtract 3 from both sides of this equation in order to keep the scale balanced . so on the left-hand side , what are we left with ?
why do we need to use a scale in alegbra ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
and we get the exact same result . question mark is equal to 7 . and if we 're dealing with kilograms , then this is 7 kilograms .
would the question mark be the same as any variable ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
because the scale is balanced the way it 's been drawn , we know that these two things are equal . so we have just set up an equation . we 're using question mark as our unknown .
how might i ever use this sort of algebraic equation in a real life problem ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
and we get the exact same result . question mark is equal to 7 . and if we 're dealing with kilograms , then this is 7 kilograms .
what is the question in the blue box ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
whats the different between y2-x3 ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
well , just like over here , we 're left with just the question mark . 3 minus 3 is 0 . so on the left-hand side , we 're left with just the question mark .
is x > 2=x is greater than or equal to 3 ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
so in the last video , we removed 3 of these . we removed 3 kilograms from both sides in order to keep the scale balanced . so mathematically , we 'll do the exact same thing over here .
how did you do to keep the scale balance ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
well , we saw in the last little problem that we had that if we wanted to figure out this mystery mass , we had to remove 3 kilograms from both sides . if we just removed 3 kilograms from one side , then the scale would n't be balanced anymore . and we really would n't be able to say that the mystery mass is equal to t...
why does n't the scale move when he erases the squares ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
why is x the most popular variable ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
why is math so important ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
why is algebra used so much in science ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
why is algebra needed to measure some object ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
well , we saw in the last little problem that we had that if we wanted to figure out this mystery mass , we had to remove 3 kilograms from both sides . if we just removed 3 kilograms from one side , then the scale would n't be balanced anymore . and we really would n't be able to say that the mystery mass is equal to t...
how come the scale dose n't move ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
we need to subtract 3 from both sides of this equation in order to keep the scale balanced . so on the left-hand side , what are we left with ? well , just like over here , we 're left with just the question mark .
so , when we have an unknown mass , we take however much away from side # 1 , and then we do the same to the other side ( # 2 ) , then what is left on side # 2 is how much the unknown mass weighs ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
why is algebra so important ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
we just have 10 on the right-hand side . and what else do we know ? well , we know that this scale is balanced , that the mass here is equal to the mass here .
why do we need relationships to understand the problem , even if we know that the answer would be an integer ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
we need to subtract 3 from both sides of this equation in order to keep the scale balanced . so on the left-hand side , what are we left with ? well , just like over here , we 're left with just the question mark .
why do we even have to remove the three squares from the left side ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
and we get the exact same result . question mark is equal to 7 . and if we 're dealing with kilograms , then this is 7 kilograms .
why the box in blue has a question mark , instead of a x ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
because the scale is balanced the way it 's been drawn , we know that these two things are equal . so we have just set up an equation . we 're using question mark as our unknown .
how does linear equation work ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
why is math so important ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
how is math the same as ideas ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
we removed 3 kilograms from both sides in order to keep the scale balanced . so mathematically , we 'll do the exact same thing over here . we will remove 3 , not from one side .
what is most important thing to learn in math ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
what is algebra and what is the difference between algebra and math ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
if we remove 3 from one side , then it would n't be equal anymore . we need to remove 3 from both sides . so we need to remove 3 .
what if we had a mystery block on both sides and only knew the weight of both sides put together ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things .
why is everything out of date ?
i now want to refigure out what this mystery mass is , but we 're going to start using a little bit more of mathematics . and mathematics really are just a language , symbols for representing ideas , for representing relationships between things . and so the first thing i want you to do is think about if you can expres...
question mark is equal to 7 . and if we 're dealing with kilograms , then this is 7 kilograms .
why is it that we need to learn math in the first place ?
( music ) ( `` in the sky with diamonds '' by scalding lucy ) steven : we 're in the louvre and we 're looking at a nicholas poussin , et in arcadia ego . we have four figures . we see ancient shepherds and a very classical female figure . beth : clearly based on ancient greek and roman sculpture , as are all the figur...
is it possible they 're having difficulty reading ? do they not know this language ? or you 're right , are they disturbed by the message ?
does anyone know what kind of footwear this is ?
( music ) ( `` in the sky with diamonds '' by scalding lucy ) steven : we 're in the louvre and we 're looking at a nicholas poussin , et in arcadia ego . we have four figures . we see ancient shepherds and a very classical female figure . beth : clearly based on ancient greek and roman sculpture , as are all the figur...
steven : that initial time is important . if you look at the tomb , it 's not new . although it 's stone , it 's been harmed over time and we get a sense that it is even more ancient than these ancient people .
is n't that a strange looking tomb ?
( music ) ( `` in the sky with diamonds '' by scalding lucy ) steven : we 're in the louvre and we 're looking at a nicholas poussin , et in arcadia ego . we have four figures . we see ancient shepherds and a very classical female figure . beth : clearly based on ancient greek and roman sculpture , as are all the figur...
if you look at the tomb , it 's not new . although it 's stone , it 's been harmed over time and we get a sense that it is even more ancient than these ancient people . this is a bridge back in time .
as did the greeks or ancient romans have tombs like that ?
( music ) ( `` in the sky with diamonds '' by scalding lucy ) steven : we 're in the louvre and we 're looking at a nicholas poussin , et in arcadia ego . we have four figures . we see ancient shepherds and a very classical female figure . beth : clearly based on ancient greek and roman sculpture , as are all the figur...
steven : in a sense , the power of art to transcend time this way , both in terms of what 's represented , this tomb as a kind of art . but then also , of course , this painting itself . ( music ) ( `` in the sky with diamonds '' by scalding lucy )
is the painting baroque style ?
hybridization can have a large effect on the stabilization of a conjugate base . so if we start off with ethane , here 's the ethane molecule , we know the hybridization of this carbon , we know this carbon is sp3 hybridized . so let 's say that ethane donates a proton and let 's make it this proton right here . so th...
so this is the most stable conjugate base . if that 's the most stable conjugate base , then acetylene is the most acidic compound out of those three . so this also has an effect on electronegativity .
so consider , i take a compound having many chlorines - 2 at the middle carbons ( as they have 2 valencies each ) and three for the last carbon - is n't this gon na exert too much inductive effect which may possibly cause the compound to be somewhat unstable ?
hybridization can have a large effect on the stabilization of a conjugate base . so if we start off with ethane , here 's the ethane molecule , we know the hybridization of this carbon , we know this carbon is sp3 hybridized . so let 's say that ethane donates a proton and let 's make it this proton right here . so th...
and as we went to the right for our conjugate bases , we increased in s character to 33 % to 50 % . so as we move to the right , we increase in stability . we also increase in s character .
this idea seems to contradict the idea of delocalizing electrons to increase stability ?
hybridization can have a large effect on the stabilization of a conjugate base . so if we start off with ethane , here 's the ethane molecule , we know the hybridization of this carbon , we know this carbon is sp3 hybridized . so let 's say that ethane donates a proton and let 's make it this proton right here . so th...
so as we move to the right , we increase in stability . we also increase in s character . so increasing in s character increases the stability of the conjugate base and we can explain that by thinking about s and p orbitals .
does the sp3 character also confer an inductive effect ?
hybridization can have a large effect on the stabilization of a conjugate base . so if we start off with ethane , here 's the ethane molecule , we know the hybridization of this carbon , we know this carbon is sp3 hybridized . so let 's say that ethane donates a proton and let 's make it this proton right here . so th...
so since the electrons are closer to the positively charged nucleus in an sp hybridized carbon so that must mean that sp hybridized carbons are more electronegative . so an sp hybridized carbon is more electronegative than an sp2 hybridized carbon and an sp2 hybridized carbon is more electronegative than an sp3 hybridi...
that is to say , if we have a carbon double or triple bond not necessarily on the carbon to which the hydrogen is connected , but somewhere else on the same molecule , will that also increase the acidity , and decrease with distance from the hydrogen in question ?
hybridization can have a large effect on the stabilization of a conjugate base . so if we start off with ethane , here 's the ethane molecule , we know the hybridization of this carbon , we know this carbon is sp3 hybridized . so let 's say that ethane donates a proton and let 's make it this proton right here . so th...
so since the electrons are closer to the positively charged nucleus in an sp hybridized carbon so that must mean that sp hybridized carbons are more electronegative . so an sp hybridized carbon is more electronegative than an sp2 hybridized carbon and an sp2 hybridized carbon is more electronegative than an sp3 hybridi...
why exactly does he say the greater en on the hybridized carbon with the greatest % of s character directly relates to acidity then ?
- let 's talk about polarization of light . we know what light waves are ; they 're electromagnetic waves . so they 're made out of electric fields . and that 's not good enough . we know there 's not just electric fields . that could n't sustain itself . there 's got to be magnetic fields there , as well , that are ch...
so this is a polarizer . these are cheap : thin , plastic , configured in a way so that it only lets light through that 's vertically polarized . any light coming in here that 's not vertically polarized gets blocked , or absorbed .
how does the plastic sheet limit the polarity ?
- let 's talk about polarization of light . we know what light waves are ; they 're electromagnetic waves . so they 're made out of electric fields . and that 's not good enough . we know there 's not just electric fields . that could n't sustain itself . there 's got to be magnetic fields there , as well , that are ch...
one component points up . that 's this electric field . one component points left .
hey , why is the phenomena of `` polarization '' focus so much importance to the orientation of electric field but not the magnetic field ?