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there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it does n't need to run because plants do n't move in that sense , but it might need to make new roots , and may need to make a flower , and all these things take energy . so actually , photosynthesis is happening during the day , but at all times plants are also capable of doing cellular respiration , just like humans... | humans have lungs and alveoli , but what do plants have ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it looks more filled with nitrogen than anything else . and in terms of carbon dioxide , it 's just got a little smidge of carbon dioxide . maybe right there . | why is the atmosphere made mostly with carbon dioxide ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it 's going to put out what ? oxygen and glucose . so i 'll put glucose up top and oxygen down below . | how can glucose come out from the stomata of the plants , also i know that glucose is not at all gaseous then how we would inhale it ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it 's going to put out what ? oxygen and glucose . so i 'll put glucose up top and oxygen down below . | what is glucose ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it looks more filled with nitrogen than anything else . and in terms of carbon dioxide , it 's just got a little smidge of carbon dioxide . maybe right there . | is there enough carbon dioxide naturally in the atmosphere for plants to survive without the carbon dioxide contributed through cellular respiration by animals ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it 's going to put out what ? oxygen and glucose . so i 'll put glucose up top and oxygen down below . | in does that mean glucose + oxygen = water ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it does n't need to run because plants do n't move in that sense , but it might need to make new roots , and may need to make a flower , and all these things take energy . so actually , photosynthesis is happening during the day , but at all times plants are also capable of doing cellular respiration , just like humans... | how do plants respire during the day ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it 's going to put out what ? oxygen and glucose . so i 'll put glucose up top and oxygen down below . | what can survive the absence of oxygen ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | in fact , he 's using the chemical energy to help him climb the beanstalk . and so the chemical energy comes in the form of what we call atp , which is just a molecule of high energy . and so jack and the beanstalk are basically going from light energy to chemical energy using these two equations . | what is atp and what is its significance ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | there 's actually something else going on as well . and that is that there 's actually some cellular respiration happening on the plant 's side . so remember , not only does the human , or the jack , need energy , but so does the plant . | was rishi explaining aerobic respiration ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | what is it made of ? and in truth , it 's about 78 % nitrogen . now you know , you 've got nitrogen in your proteins , we 've got nitrogen in our dna . so nitrogen is part of us and is part of many , many living things . | what is the reason for nitrogen to react within our bodies ... is temperature not enough or what ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | this is our air breakdown . and carbon dioxide makes up about less than 1 % . so , that leaves you wondering , what the heck is making up all that other parts of air ? | if carbon dioxide only makes up 1 % of our atmosphere , why remains pollution ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | so , that leaves you wondering , what the heck is making up all that other parts of air ? what is it made of ? and in truth , it 's about 78 % nitrogen . | has the co2 made an expansion through the o2 territory ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it 's going to put out what ? oxygen and glucose . so i 'll put glucose up top and oxygen down below . | is excess glucose ever secreted into the environment ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | this is our air breakdown . and carbon dioxide makes up about less than 1 % . so , that leaves you wondering , what the heck is making up all that other parts of air ? | if carbon dioxide is less than 1 % , what is the remaining part in the atmosphere ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | we have a planet full of humans , and full of other animals , and full of plants . what would the atmosphere look like ? this is the atmosphere . what would the atmosphere look like ? | what percentage of the atmosphere is hydrogen ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | because everything is nice and balanced . and you can see how it makes perfect sense that , not only did jack need the beanstalk , but actually it sounds like the beanstalk needed jack , based on how i 've drawn it . now remember , none of this would even happen if there was no sunlight . | this is a bit off topic , but is rishi suggesting that the beanstalk is creating oxygen for jack ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it looks more filled with nitrogen than anything else . and in terms of carbon dioxide , it 's just got a little smidge of carbon dioxide . maybe right there . | at around when you said plants also do cellular respiration , do you mean that the oxygen they make , they will break it down themselves into carbon dioxide and and then absorb it ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | and on the other side , of course , jack is getting something as well . he 's getting chemical energy . in fact , he 's using the chemical energy to help him climb the beanstalk . | is chemical energy an input or output of cellular respiration ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | there 's actually something else going on as well . and that is that there 's actually some cellular respiration happening on the plant 's side . so remember , not only does the human , or the jack , need energy , but so does the plant . | does that mean that the plant does photosynthesis , then uses the result to make cellular respiration , and causes a cycle , without needing to get the ingredients from the outside ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it 's going to put out what ? oxygen and glucose . so i 'll put glucose up top and oxygen down below . | how can jack change glucose to water ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it 's going to put out what ? oxygen and glucose . so i 'll put glucose up top and oxygen down below . | what is the function of glucose ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | well , the truth is , that the glucose ends up oftentimes in fruits and vegetables that we eat . but as far as the oxygen goes , it makes an excess of oxygen . so there is actually enough oxygen to go both to us , or to jack and to be used by itself . | kind of a weird question but here it goes , would plants eventually end of `` suffocating `` if they were only exposed to an oxygen environment ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it looks more filled with nitrogen than anything else . and in terms of carbon dioxide , it 's just got a little smidge of carbon dioxide . maybe right there . | or would the carbon dioxide they produce complete their co2 needs ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | and in fact , if it takes in light energy right here , it needs to find a way to actually , eventually get some chemical energy itself , so that it can do all the things it needs to do . it does n't need to run because plants do n't move in that sense , but it might need to make new roots , and may need to make a flowe... | do n't carnivorous or insectivorous plants have muscles and nerves ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | in fact , that 's the whole purpose of this , right ? getting energy . so you have to have some light energy . | in the diagram , why is light energy on the input side for plants , but chemical energy is on the output side for humans ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | and so let 's actually take a moment to write out these processes that are happening between jack and the beanstalk . so let 's start with the process of photosynthesis , the beanstalk . so on the one hand , you 've got what ? | does diaphragm muscle start the process of breathing ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | in fact , he 's using the chemical energy to help him climb the beanstalk . and so the chemical energy comes in the form of what we call atp , which is just a molecule of high energy . and so jack and the beanstalk are basically going from light energy to chemical energy using these two equations . | what does atp stand for ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | it does n't need to run because plants do n't move in that sense , but it might need to make new roots , and may need to make a flower , and all these things take energy . so actually , photosynthesis is happening during the day , but at all times plants are also capable of doing cellular respiration , just like humans... | why is photosynthesis not all the time but is only day ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | so this beanstalk was growing and growing and had these huge leaves . and actually jack used these leaves to make his way up this beanstalk . and so , this is how this beanstalk became very famous . | i know this is a fictional story ( jack and the beanstalk ) but is it possible for leaves to be strong enough to hold an amount of weight that is n't super light like a raindrop ? |
there 's a classic story out there and it has to do with a character named jack . and you may have heard this story , but i 'm sure that there is parts of that story that you have not heard . and so i 'm actually going to just try to fill in those parts that you get a complete idea of what happened . now jack came acro... | this is our air breakdown . and carbon dioxide makes up about less than 1 % . so , that leaves you wondering , what the heck is making up all that other parts of air ? | if there is only 1 % of carbon di oxide in nature , then why there is so much pollution ( given the other pollutants make up roughly around 2 % ) ? |
- drag the lines up or down . order them from longest to shortest . put the longest line on top . so , alright , out of these three lines , the longest one is this one . so , i click on this and i move it to the top . and they want us to order from longest to shortest . so , we want the longest on top , and the shortes... | - drag the lines up or down . order them from longest to shortest . | how do you find the size of different shapes ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . | what is the domain of a problem ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y changes with respect to x . | why is the question 6.5r ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | and over here , you see when x changes 1 , y is going to change by 6.5 . every time x increases by 1 , y is going to increase by 6.5 . or you could say the unit rate of change of y with respect to x is 6.5 for every 1 change in x . | which of the following equations , where ddd is distance in miles and ttt is time in hours , represents a speed that is less than that of the leatherback sea turtle ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | or how much does y change for a change of 1 in x , the unit rate . and over here , you see when x changes 1 , y is going to change by 6.5 . every time x increases by 1 , y is going to increase by 6.5 . or you could say the unit rate of change of y with respect to x is 6.5 for every 1 change in x . | at around how is 6.5 = 3 and a half ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | or you could say the unit rate of change of y with respect to x is 6.5 for every 1 change in x . in this graph right over here , as x changes 1 , as x increases 1 , y increases it looks like by about 3 and 1/2 . x increases by 1 , y increases by 3 and 1/2 . | i really need to be learning rates so like how do you do rates ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | so this line is increasing at a slower rate than this equation . or y in this line is increasing at a slower rate with respect to x than y is increasing with respect to x in this equation right over here . so the unit rate of the graph is less than the unit rate of the equation . | what does x and y mean in an equation ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | or you could say the unit rate of change of y with respect to x is 6.5 for every 1 change in x . in this graph right over here , as x changes 1 , as x increases 1 , y increases it looks like by about 3 and 1/2 . x increases by 1 , y increases by 3 and 1/2 . | is the equation y=2x+1 proportional ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | so the unit rate of change here of y with respect to x is 3 and 1/2 for every unit increase in x . so this line is increasing at a slower rate than this equation . or y in this line is increasing at a slower rate with respect to x than y is increasing with respect to x in this equation right over here . | is a linear equation also a proportional relationship ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . | so would y=mx+b mean this would also be a proportional relationship even if it does n't pass through the origin ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | or how much does y change for a change of 1 in x , the unit rate . and over here , you see when x changes 1 , y is going to change by 6.5 . every time x increases by 1 , y is going to increase by 6.5 . or you could say the unit rate of change of y with respect to x is 6.5 for every 1 change in x . | where did you put 6.5 ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | in this graph right over here , as x changes 1 , as x increases 1 , y increases it looks like by about 3 and 1/2 . x increases by 1 , y increases by 3 and 1/2 . so the unit rate of change here of y with respect to x is 3 and 1/2 for every unit increase in x . | how did sal get the y increases 3.5 ? |
which is less -- the unit rate of the equation y equals 6.5x or the unit rate of the graph shown below ? so when they 're talking about unit rate -- and they 're actually a little bit ambiguous here . they should have been clearer in this question . i 'm assuming they 're asking us about the unit rate at which y change... | or y in this line is increasing at a slower rate with respect to x than y is increasing with respect to x in this equation right over here . so the unit rate of the graph is less than the unit rate of the equation . | how can u explain the difference between rate and unit rate ? |
( jazzy music ) male : we 're in the courtauld galleries and we 're looking at still life of plaster cast . it dates to the middle of his career . female 1 : i do think it 's a little bit hard to find one point of view that works for this whole painting . if you look at the table in the foreground with these fruits and... | male : what kind of intentionality is in back of this ? why in the world would cezanne want to do such a thing ? it 's such a complicated and problematic rendering and space , and there are alignments that make it even more quirky . | how would one distinguish fine art from trash ? |
( jazzy music ) male : we 're in the courtauld galleries and we 're looking at still life of plaster cast . it dates to the middle of his career . female 1 : i do think it 's a little bit hard to find one point of view that works for this whole painting . if you look at the table in the foreground with these fruits and... | it dates to the middle of his career . female 1 : i do think it 's a little bit hard to find one point of view that works for this whole painting . if you look at the table in the foreground with these fruits and this little plaster cast , then that seems to have been painted from one angle , and if you look toward the... | does anyone ever look at the works of cezanne , ganguin , and the like and think `` this artist was the post-impressionist incarnation of a troll '' ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | and if you subtract 7y from both sides , you get 5x is equal to 2y . or you could say x is equal to 2/5 y . in order for these to show up as integers , we have to pick integers here . | ca n't you simply use substitution when you have x= ( 2/5 ) y ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | well , then x is 2 . it 's going to be 2/5 times 5 . so then x is equal to 2 . | why did khan decide to plug in 5 ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | and to think about that is , we might be faced with two choices , one where maybe it 's this side over here is -- let me draw it like this -- 5 and 15 . but over here , our greatest common divisor is n't 1 . they 're both divisible by 5 over here . | is n't 69 have more divisor other than 1 ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | you see the 55 plus 6 is 61 . and then when you look at its width , you have 12x , which is 24 , plus 9y . y is 5 , so plus 45 . | why does the shape look so complicated ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | that gets us to 61 . this is equal to 61 . did i do that right ? | would n't the most accurate answer be that the perimeter is equal to 52y ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | so let 's say that that square right over here has a length x and a height x . it 's an x by x square . so let me write it . | how come you can pick any random number for y and x ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | so what you 'd want to do is say , no . instead of 5 and 15 , they need to be 1 and 3 . now you have the same ratio of sides , but now their greatest common divisor is 1 . | to increase the depth of a sandbox by 18 '' and the sandbox is 18 by 14 feet , how many cubic feet of sand will i need ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | and we can simplify this . if you subtract 8x from both sides , you get 5x . and if you subtract 7y from both sides , you get 5x is equal to 2y . | what is the area of a triangle who 's sides measure 14 , 14 , and 16 ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | and if you subtract 7y from both sides , you get 5x is equal to 2y . or you could say x is equal to 2/5 y . in order for these to show up as integers , we have to pick integers here . | can you reverse the equation x = 2/5 y ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | so let 's just pick some numbers so that we get nice integers for x and y and then we figure out the perimeter . we want to make sure that the dimensions do n't have any common divisors . so if we pick y to be 5 , so let 's pick y to be equal to 5 , then looking at this constraint , what is x ? | are n't numbers that have only one as their common divisors called relatively prime numbers ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | so if we pick y to be 5 , so let 's pick y to be equal to 5 , then looking at this constraint , what is x ? well , then x is 2 . it 's going to be 2/5 times 5 . | at the end when you 're looking for x and y , ca n't you substitute x for 2/5 y ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | so that 's why they 're saying greatest common divisor 1 . and then they say , find the perimeter of the rectangle . so let 's see what we can do here . | is the question basically asking to find to prime numbers to form the the ratio of the rectangle 's sides ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the height of the rectangle are positive integers with greatest common divisor 1 -- so they 're talking about th... | if the two squares regions have respective areas indicated in square yards , how many yards of fencing are needed to enclose the two regions ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | so let 's start in the beginning . let 's start at this square right over here , the center square . and they did tell us that they 're all squares . | should n't the square in the top right corner be 8x+5y ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . | did you mean `` from 2000 american invitational math exam '' ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | and to think about that is , we might be faced with two choices , one where maybe it 's this side over here is -- let me draw it like this -- 5 and 15 . but over here , our greatest common divisor is n't 1 . they 're both divisible by 5 over here . | how do you find the greatest common divisor of two numbers ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | and then you have this square right over here . and we do n't know its measurements . so let 's say that this square right over here is y by y . | i ca n't figure out how to find suface area of a triangular prism ? |
here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . so one , two , three , four , five , six , seven , eight , nine overlapping squares . given that the width and the he... | here 's an interesting problem involving perimeter from the 2000 american invitational mathematics exam . so it says the diagram shows a rectangle that has been dissected into nine overlapping squares . | what is sal 's favorite type of chipotle burrito ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | here we have the simplest epoxide . and one name for this would be ethylene oxide because this molecule is made from ethylene and that 's where you get your two carbons from , like that . so you could call this ethylene oxide , or you could give this an iupac name . and since there are two carbons in it , for the iupac... | do n't these rules take precedence , making this ethylene oxide ( common name ) or oxirane ( systematic name ) ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | so to complete the name all i have to do is write 2-methyl on the front here . so now i have 2-methyl-2,3-epoxybutane for my iupac name . so how do we make epoxides ? | c-electronegitivity 2.55 br-electonegitivity 2.96 h-electronegitivity 2.20 why does bromine-carbon create partial charges but carbon-hydrogen does n't ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | ok , so they 're going to add on opposite sides from each other like that . ok , so this molecule is called a halohydrin . and again , check out an earlier video for the mechanism to form a halohydrin . once you form a halohydrin , you can use that halohydrin to form an epoxide . | why is n't hydroxide acting as a nucleophile in the halohydrin mechanism ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | so we 're going to add in sodium hydroxide , na plus oh minus . ok , so the hydroxide anion is going to function as a base . all right , so a lone pair of electrons on the oxygen are going to take this proton on our alcohol . | how is it possible that hydroxide , the weaker base , can depronate the alcohol , yielding an alkoxide , a much stronger base , at a reasonable pace ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | and we know that the epoxide forms between carbons one and two . so we can go ahead and write 1,2-epoxyethane for the iupac name . let 's do another one here . | so why now are we expected to specify the 1,2 in epoxyethane ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | so to complete the name all i have to do is write 2-methyl on the front here . so now i have 2-methyl-2,3-epoxybutane for my iupac name . so how do we make epoxides ? | is n't the iupac name supposed to be alphabetical so should n't it be 2,3-epoxy-2-methylbutane ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | and we get an intramolecular williamson ether synthesis , and so we 're going to end up with the same product , we 're going to end up with 1,2-epoxycyclohexane . now for this reaction , we do n't have to worry about stereochemistry . ok , so if you think about the oxygen adding from the other side of the ring , we do ... | ... `` e '' comes before `` m '' in the alphabet , so should n't we mention the epoxy before the methyl ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | and a peroxy acid looks a lot like a carboxylic acid , except it has an extra oxygen in there like that . and in the mechanism for the epoxidation of alkenes we saw was a concerted mechanism , where one of those oxygens was added in here to form our epoxide like that . so check out the earlier video to see the mechanis... | can someone please brief on how a mechanism becomes `` concerted '' ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | and a peroxy acid looks a lot like a carboxylic acid , except it has an extra oxygen in there like that . and in the mechanism for the epoxidation of alkenes we saw was a concerted mechanism , where one of those oxygens was added in here to form our epoxide like that . so check out the earlier video to see the mechanis... | what makes a concerted mechanism `` concerted '' ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | all right , so what do we make from that ? well , now we have our oxygen with three lone pairs of electrons around it like that , which gives the oxygen a negative 1 formal charge . and we still have our bromine here , like that . | when/why does the ether itself ( the bonds to oxygen ) have wedges/dashes on them rather than the substituents ? |
it 's possible to have ethers in a ring system . and there are many different types of ring systems that you can have with ethers in them . the one that 's studied most of the time would be the epoxides , due to their reactivity . here we have the simplest epoxide . and one name for this would be ethylene oxide because... | and we know that the epoxide forms between carbons one and two . so we can go ahead and write 1,2-epoxyethane for the iupac name . let 's do another one here . | respected sir from reference of cengage learning book i have found the name of 1,2-epoxy ethane as oxirane and 1,3-epoxy propane as oxetane ... ... so is there any type of another nomenclature ? |
( music ) man1 : this is the saint ignatius chapel , saint ignatius of loyola and in his memory , before he 'd actually been proclaimed a saint fully , the church was dedicated and then when he was beatified and then canonized in 1622 , another entire church was built with his name , sant'ignazio beth : nearby man1 : t... | ( music ) man1 : this is the saint ignatius chapel , saint ignatius of loyola and in his memory , before he 'd actually been proclaimed a saint fully , the church was dedicated and then when he was beatified and then canonized in 1622 , another entire church was built with his name , sant'ignazio beth : nearby man1 : t... | surely , some sort of industrial paint can create the exact same colour ? |
( music ) man1 : this is the saint ignatius chapel , saint ignatius of loyola and in his memory , before he 'd actually been proclaimed a saint fully , the church was dedicated and then when he was beatified and then canonized in 1622 , another entire church was built with his name , sant'ignazio beth : nearby man1 : t... | the painting slides down gradually like a piece of theatrical machinery into the ground below the altar beth : wow . statue of saint ignatius . it 's as if to say he has now died and gone to heaven and above the whole figure , ( inaudible 1:40 ) surrounded by angels is an image of the holy trinity . | is there a video of the painting moving to reveal the statue ? |
let 's say we are operating ... ... in three dimensions . and i have a function , rho , ... which is a function of ( x , y , z ) ... ... and it gives us the mass density ... ... at any point in three dimensions , ... of some fluid . some particular fluid . maybe it 's a gas , or a fluid , ... water . who knows what it ... | we 're going to evaluate f ... we 're going to evaluate f dot n , ... where n is the unit normal vector at every -- ... at each point on that surface , ... ds . d-surface . so let 's think about what this is saying . | why do we only care about the momentum normal to the surface ? |
let 's say we are operating ... ... in three dimensions . and i have a function , rho , ... which is a function of ( x , y , z ) ... ... and it gives us the mass density ... ... at any point in three dimensions , ... of some fluid . some particular fluid . maybe it 's a gas , or a fluid , ... water . who knows what it ... | we 're going to evaluate f ... we 're going to evaluate f dot n , ... where n is the unit normal vector at every -- ... at each point on that surface , ... ds . d-surface . so let 's think about what this is saying . | particles traveling at an angle are also passing through the surface ? |
let 's say we are operating ... ... in three dimensions . and i have a function , rho , ... which is a function of ( x , y , z ) ... ... and it gives us the mass density ... ... at any point in three dimensions , ... of some fluid . some particular fluid . maybe it 's a gas , or a fluid , ... water . who knows what it ... | this is essentially the flux through a two-dimensional surface . so this is ... ... the flux through a 2d surface . and this is n't like ... ... some crazy , abstract thing . | why is it flux through a 2d surface rather than flux through a 3d surface ? |
let 's say we are operating ... ... in three dimensions . and i have a function , rho , ... which is a function of ( x , y , z ) ... ... and it gives us the mass density ... ... at any point in three dimensions , ... of some fluid . some particular fluid . maybe it 's a gas , or a fluid , ... water . who knows what it ... | but obviously it has some depth . it 's three-dimensional in nature . and so we would know the density . | is n't s a three dimensional surface ? |
let 's say we are operating ... ... in three dimensions . and i have a function , rho , ... which is a function of ( x , y , z ) ... ... and it gives us the mass density ... ... at any point in three dimensions , ... of some fluid . some particular fluid . maybe it 's a gas , or a fluid , ... water . who knows what it ... | it has a magnitude 1 . so that is our unit normal vector . and f is defined throughout this three-dimensional space . | which is not the unit of electric flux ? |
let 's say we are operating ... ... in three dimensions . and i have a function , rho , ... which is a function of ( x , y , z ) ... ... and it gives us the mass density ... ... at any point in three dimensions , ... of some fluid . some particular fluid . maybe it 's a gas , or a fluid , ... water . who knows what it ... | and this is really the same idea we do with ... ... the line integrals . this is essentially the flux through a two-dimensional surface . so this is ... ... the flux through a 2d surface . and this is n't like ... ... some crazy , abstract thing . | is it possible to calculate flux within a piece of music ? |
let 's say we are operating ... ... in three dimensions . and i have a function , rho , ... which is a function of ( x , y , z ) ... ... and it gives us the mass density ... ... at any point in three dimensions , ... of some fluid . some particular fluid . maybe it 's a gas , or a fluid , ... water . who knows what it ... | we 're going to evaluate f ... we 're going to evaluate f dot n , ... where n is the unit normal vector at every -- ... at each point on that surface , ... ds . d-surface . so let 's think about what this is saying . | how to draw tangent vector to a surface ? |
let 's say we are operating ... ... in three dimensions . and i have a function , rho , ... which is a function of ( x , y , z ) ... ... and it gives us the mass density ... ... at any point in three dimensions , ... of some fluid . some particular fluid . maybe it 's a gas , or a fluid , ... water . who knows what it ... | times meters per second . let me write it in those colors ... ... so we have ... ... clear what 's happening here . so the units of f ... ... are going to be the units of rho ... ... which are going to be ... ... kilogram per cubic meter ... that 's mass density . | how do i write 57+58 conceptually ? |
let 's say we are operating ... ... in three dimensions . and i have a function , rho , ... which is a function of ( x , y , z ) ... ... and it gives us the mass density ... ... at any point in three dimensions , ... of some fluid . some particular fluid . maybe it 's a gas , or a fluid , ... water . who knows what it ... | so that is f right at that point . right at that point . so what does all of this mean ? | but how can u calculate the `` rate of change of flux '' coming outward ( radially ) from a `` point of gravitational field liable for force or field line '' ? |
let 's say we are operating ... ... in three dimensions . and i have a function , rho , ... which is a function of ( x , y , z ) ... ... and it gives us the mass density ... ... at any point in three dimensions , ... of some fluid . some particular fluid . maybe it 's a gas , or a fluid , ... water . who knows what it ... | but obviously it has some depth . it 's three-dimensional in nature . and so we would know the density . | especially , in case of a `` cone '' , a three dimensional cone ? |
( piano music playing ) steven : she stands against the window , looking out , but really looking in in a terribly gaudy purple nightgown . out the window , we can see the city of london . we can see the thames river . beth : we 're looking at john roddam spencer stanhope 's thoughts of the past . steven : if we were v... | you can see how closely the artist ties her problem to the problem of the city and the growth of the city . steven : well , let 's look out that window . it 's this bustling port on the thames , on the river that bisects london . | why do all paintings with people look like they are staring at you ? |
( piano music playing ) steven : she stands against the window , looking out , but really looking in in a terribly gaudy purple nightgown . out the window , we can see the city of london . we can see the thames river . beth : we 're looking at john roddam spencer stanhope 's thoughts of the past . steven : if we were v... | you can see how closely the artist ties her problem to the problem of the city and the growth of the city . steven : well , let 's look out that window . it 's this bustling port on the thames , on the river that bisects london . | why does this painting look as if it was influenced by medieval art and paintings in particular ? |
( piano music playing ) steven : she stands against the window , looking out , but really looking in in a terribly gaudy purple nightgown . out the window , we can see the city of london . we can see the thames river . beth : we 're looking at john roddam spencer stanhope 's thoughts of the past . steven : if we were v... | beth : and that she 's thinking about her past life as a virtuous woman , likely from the countryside , who had come to the city and who had fallen , in victorian terms , a fallen woman , a prostitute . fallen women were the subject of paintings and literature during this period , a kind of social problem for artists a... | was the artist influenced by the medieval period ? |
( piano music playing ) steven : she stands against the window , looking out , but really looking in in a terribly gaudy purple nightgown . out the window , we can see the city of london . we can see the thames river . beth : we 're looking at john roddam spencer stanhope 's thoughts of the past . steven : if we were v... | so all of this would have been recognizable to a victorian viewer . another thing we can immediately notice , just the fact that this is painted very much in a pre-raphaelite style . we have those intense colors that are really saturated , like this purple and the greens and the reds and showing a female figure with lo... | any connections other than their similarity as pre-raphaelite paintings ? |
( piano music playing ) steven : she stands against the window , looking out , but really looking in in a terribly gaudy purple nightgown . out the window , we can see the city of london . we can see the thames river . beth : we 're looking at john roddam spencer stanhope 's thoughts of the past . steven : if we were v... | beth : we 're looking at john roddam spencer stanhope 's thoughts of the past . steven : if we were victorian looking at this painting , we would immediately recognize that she was a prostitute . beth : and that she 's thinking about her past life as a virtuous woman , likely from the countryside , who had come to the ... | when was the painting painted ? |
( piano music playing ) steven : she stands against the window , looking out , but really looking in in a terribly gaudy purple nightgown . out the window , we can see the city of london . we can see the thames river . beth : we 're looking at john roddam spencer stanhope 's thoughts of the past . steven : if we were v... | i can almost hear men yelling to each other across those boats and in the foreground , we see what looks like hay on a barge and that hay , of course , would have been brought to the city from the country in order to feed the horses and it does make it kind of analogy to this woman who has become a kind of commodity , ... | could the canary yellow of the straw being unloaded outside the window be a reference to canary warf as it was well known as being an area frequented by prostitutes at that time ? |
( piano music playing ) steven : she stands against the window , looking out , but really looking in in a terribly gaudy purple nightgown . out the window , we can see the city of london . we can see the thames river . beth : we 're looking at john roddam spencer stanhope 's thoughts of the past . steven : if we were v... | they were looking back at the great paintings at the very beginning of the renaissance , perhaps , for instance the arnolfini wedding portrait , which is in the national gallery now . so when you look at that red hair , does that secondary reference to the renaissance tradition of representing mary magdalene with long ... | why was it popular to paint red haired women ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | and to put this in a little bit of context , i looked it up on the internet what your odds are of actually getting struck by lightning in your lifetime . and so your odds of getting struck by lightning in your lifetime are roughly 1 in 10,000 -- chance of getting struck by lightning in your lifetime . and we can roughl... | how was the probability of being struck by a lightning calculated ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | so your odds of winning it , with one entry -- because this is the number of possibilities , and you are essentially , for $ 1 , getting one of those possibilities . your odds of winning is going to be 1 over this . and to put this in a little bit of context , i looked it up on the internet what your odds are of actual... | is n't odds the same as probability ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . | have anyone ever won the mega millions jackpot ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . | what 's the probability of winning the jackpot and being struck by a lightning after you win the jackpot ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | let me write that number down . so that gives us 175,711,536 . so your odds of winning it , with one entry -- because this is the number of possibilities , and you are essentially , for $ 1 , getting one of those possibilities . | may i ask , since the numbers on the balls can be in any order to win the jackpot , should there be > 1 over 175,711,536 for the probability to win the jackpot ? |
i 've been asked to calculate the probability of winning the mega millions jackpot . so i thought that 's what i would do this video on . so the first thing is to make sure we understand what does winning the jackpot actually mean . so there 's going to be two bins of balls . one of them is going to have 56 balls in it... | but to win this , you do n't have to write them down in the same order . you just have to get those numbers in any order . and so what you want to do is you want to divide this by the number of ways that five things can actually be ordered . | i do n't get it why the probability comes to be 1 / 175711536 , when the order does not mattered ? |
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