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a line passes through the points negative 3 , 6 and 6 , 0 . find the equation of this line in point slope form , slope intercept form , standard form . and the way to think about these , these are just three different ways of writing the same equation . so if you give me one of them , we can manipulate it to get any of... | so if you give me one of them , we can manipulate it to get any of the other ones . but just so you know what these are , point slope form , let 's say the point x1 , y1 are , let 's say that that is a point on the line . and when someone puts this little subscript here , so if they just write an x , that means we 're ... | was n't sal supposed to write y1-y2=m ( x1-x2 ) ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | well , just think about this a little bit . if i square something , and if it 's greater than 1 -- so that means that either b is less than negative 1 , because if it was negative 1 , if you squared it , you would get 1 . if it was greater than negative 1 , or just directly greater than negative 1 , if it was negative ... | when you divide a out do you always replace the empty side with 1 ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | well , just think about this a little bit . if i square something , and if it 's greater than 1 -- so that means that either b is less than negative 1 , because if it was negative 1 , if you squared it , you would get 1 . if it was greater than negative 1 , or just directly greater than negative 1 , if it was negative ... | why did sal get 1 when he divided a by a ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | well , just think about this a little bit . if i square something , and if it 's greater than 1 -- so that means that either b is less than negative 1 , because if it was negative 1 , if you squared it , you would get 1 . if it was greater than negative 1 , or just directly greater than negative 1 , if it was negative ... | when using 1 and -1 ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | so a/b is going to be to the right of a times b . so we know that a/b , it has to be negative . it has to be the left of 0. a/b is going to be to the right of a times b . | what do we do if we do n't know for sure if b is negative or if it could be both ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | i 'm going to rewrite it . so b times a/b is going to negative . we know it 's negative . | since we know b is negative , why do n't we reverse the inequality when multiplying a/b * b ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | so since we know b is less than 0 , we can take this out of the picture . and if the absolute value of b is greater than 1 , and b is less than 0 , then we know that b has to be less than negative 1 . so wherever negative 1 is , b is going to be less than that . | would n't the absolute value of 'b ' also have to be greater than 'a ' as the fraction -a/b is less than the multiplication product - ( a*b ) ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | and she says , all right . so you have two integers , integer a and integer b . and she tells you that integer a is greater than 0 , and integer b is less than 0 . | so does an inequality always flips if you divide or multiply both side by a negative integer ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | and she says , all right . so you have two integers , integer a and integer b . and she tells you that integer a is greater than 0 , and integer b is less than 0 . | how about if you add and subtract a negative integer to both sides ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | i 'm going to rewrite it . so b times a/b is going to negative . we know it 's negative . | ca n't we also say that `` b '' is larger than `` a '' because of the inequality a/b > ab ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | but let 's actually manipulate , algebraically manipulate this inequality here . we could multiply both sides times b . so let 's do that . | does this mean you cant multiply both sides of an inequality by a variable unless you knows it 's sign ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | let 's multiply both sides times b. b is less than the 0 . so if you 're multiplying both sides of an inequality by something less than 0 , it swaps the inequality . that 's why i got rid of it . | is there a video reference that would discuss why multiplying both side of an inequality with something less than zero would swap the inequality ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | i 'm going to rewrite it . so b times a/b is going to negative . we know it 's negative . | why does sal put `` b '' in these lines ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | let 's multiply both sides times b. b is less than the 0 . so if you 're multiplying both sides of an inequality by something less than 0 , it swaps the inequality . that 's why i got rid of it . | what applications use reasoning through inequality expressions ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | i 'm going to rewrite it . so b times a/b is going to negative . we know it 's negative . | how is a/b greater that a*b ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | i 'm going to rewrite it . so b times a/b is going to negative . we know it 's negative . | how did sal change b^2 into absolute b ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | so since we know b is less than 0 , we can take this out of the picture . and if the absolute value of b is greater than 1 , and b is less than 0 , then we know that b has to be less than negative 1 . so wherever negative 1 is , b is going to be less than that . | i do n't understand how b^2 > 1 turns out to be i b i > 1 ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | if it was greater than negative 1 , or just directly greater than negative 1 , if it was negative 0.99 , then when you square it , it would be something less than 1 . so that does n't work . so b has to be less than negative 1 or b has to be greater than 1 , because for the same exact logic . | is n't the distance from zero also called magnitude ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | or another way we could think about this , we could say , well , if 1 is less than b squared , that means that b -- let 's be careful here -- that means that the absolute value of b is going to be greater than 1 . so this means that the absolute value of b is greater than 1 . and you say , wait , sal , how did you get ... | the greater the magnitude the larger the absolute value of the number ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | so since we know b is less than 0 , we can take this out of the picture . and if the absolute value of b is greater than 1 , and b is less than 0 , then we know that b has to be less than negative 1 . so wherever negative 1 is , b is going to be less than that . | so it 's like saying a > 0 ( but it ca n't be 1 if ( b ) is -1 ) and b < 0 ( but it ca n't be -1 if ( a ) is 1 ) whats the practical application is what i want to know ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | if it was exactly equal to 1 , if you squared it , this would be equal . if it was 0.5 , then squared it would be 0.25 , which would n't be greater than . so you know both of these things are true . | is there an example in reality where such a constraint would arise ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | so since we know b is less than 0 , we can take this out of the picture . and if the absolute value of b is greater than 1 , and b is less than 0 , then we know that b has to be less than negative 1 . so wherever negative 1 is , b is going to be less than that . | in why b < -1 or b > 1 is equivalente to /b/ > 1 ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | so let 's do that . let 's multiply both sides times b. b is less than the 0 . so if you 're multiplying both sides of an inequality by something less than 0 , it swaps the inequality . | why do we started to multiply by b 'b ' at 3.34 and than divide ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | so b times a/b is going to negative . we know it 's negative . so it 's going to be less than ab times b . | okaaaay , how do we know the numerator is positive and where is negative a ? |
you go for a job interview . and the first thing that your interviewer says is , look , you have great work experience . you seem like a nice young person . but what i really care about is your logical reasoning capabilities . so what she says is , just sit down . i 'm going to ask you a question about some math expres... | so let 's do that . let 's multiply both sides times b. b is less than the 0 . so if you 're multiplying both sides of an inequality by something less than 0 , it swaps the inequality . | in a / b > ab why did sal first multiply each side by b ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | so that gives me 37 . and then 3/18 plus 2/3 , to add them , i need to have the same denominator . and the least common multiple of 18 and 3 is 18 . | what happens if a fractions denominator is 0 would it then be impossible to add it or subtract it ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . | so ... when adding the two fractions , 3/18 and 2/3 , why ca n't we do that trick where we multiply the 18 by the 3 to get 54 denominator ... and then multiply the 18 by the 2 and the 3 by the other 3 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . | why is the `` missing '' sign a + and not a x like it would in something like `` 7y '' ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | and the least common multiple of 18 and 3 is 18 . so let 's convert 2/3 to something over 18 . so 2/3 , if i want to write it as something over 18 , well , i multiplied the denominator by 6 , so i 'd also have to multiply the numerator by 6 . | why are you going to convert 2/3 into something over '18 ' if the lcm is 37 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . | are there tricks to simplifying odd fractions ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | 19 plus 19 would be 38 . so this is going to be 1 less than that . it 's going to be 37 . | what do we do if we reach the part 5+7+1/3+1/4 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | and so this gives us , we still have our 37 , but the numerator is now 5 , and the denominator is now 6 . so we get 37 and 5/6 . and we 're done . | where did the 6 come in ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | and so this gives us , we still have our 37 , but the numerator is now 5 , and the denominator is now 6 . so we get 37 and 5/6 . and we 're done . | so 3/4 +2/6 would be 5/24 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . | are there any tricks to knowing if a fration is already in lowest terms ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . | so why does n't 19 3/8 + 18 2/3 become 345/18 + 168/18 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | so we could do 19 plus 18 . and then we can add the fraction parts -- let me do this in green -- plus 3/18 plus 2/3 . now 19/18 , pretty straightforward . | how do i do 3 3/4 x 4 4/5 do i convert to an improper fraction ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add the 19 to the 18 . | is there an easier way to add mixed numbers ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add the 19 to the 18 . | how can we add mixed numbers ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | 3 plus 12 is 15 , plus 15/18 . and so expressing this as a mixed number , i get 37 and 15/18 . and that 's the right number . | are there any shortcuts when subtracting mixed numbers ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . | what is 4135/36 what is the answer ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | and then 3/18 plus 2/3 , to add them , i need to have the same denominator . and the least common multiple of 18 and 3 is 18 . so let 's convert 2/3 to something over 18 . | what does common multiple mean ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | and so this gives us , we still have our 37 , but the numerator is now 5 , and the denominator is now 6 . so we get 37 and 5/6 . and we 're done . | how do you subtract 0.6 from 2 5/9 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | and so expressing this as a mixed number , i get 37 and 15/18 . and that 's the right number . but we can simplify it even more . | do you take from the hole number ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | we can simplify the 15/18 . both the numerator and the denominator are divisible by 3 . so let 's divide them both by 3 . | is there an easier way to figure out a common denominator than writing out the multiples of each denominator until you get one that 's the same ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | 19 plus 19 would be 38 . so this is going to be 1 less than that . it 's going to be 37 . | what is 36 1/4 - 24 8/9 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . | what is 4 3/5 - 2 1/3 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | 3 plus 12 is 15 , plus 15/18 . and so expressing this as a mixed number , i get 37 and 15/18 . and that 's the right number . | can you show me how to subtract small mixed numbers by big mixed numbers ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | 3 plus 12 is 15 , plus 15/18 . and so expressing this as a mixed number , i get 37 and 15/18 . and that 's the right number . | cant you divide 37 into a smaller number ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | so we get 37 and 5/6 . and we 're done . | ( counting milliseconds ) will there be a eclipse ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . | my problem is 8 1/9 + 13 1/2 , my question is how can i divide the 2 to become 9 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . | how much tape is left on the roll ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | that 's going to be -- so i have 37 plus -- it 's going to be something over 18 -- plus something over 18 . 3 plus 12 is 15 , plus 15/18 . and so expressing this as a mixed number , i get 37 and 15/18 . and that 's the right number . | how is 37 + 15/18 = 37 * 15/18 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | and then 3/18 plus 2/3 , to add them , i need to have the same denominator . and the least common multiple of 18 and 3 is 18 . so let 's convert 2/3 to something over 18 . | how you fine a common denominators for mixed numbers ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . | are there any ways to do 13 1/4 - 8 3/18 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | so that gives me 37 . and then 3/18 plus 2/3 , to add them , i need to have the same denominator . and the least common multiple of 18 and 3 is 18 . | what if the denominator 's do not have common multiples like 1/3+3/10 ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . | why was n't 18 3/18 simplified to 18 1/6 before starting the operation ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . | how do you add 3 mixed numbers with unlike denominators ? |
let 's add 19 and 3/18 to 18 and 2/3 . so i like to separate out the whole number parts from the fraction parts . so 19 and 3/18 is the same thing as 19 plus 3/18 . and to that , we are going to add 18 and 2/3 , which is the same thing as 18 plus 2/3 . now we can separately add the whole number parts . so we could add ... | and then 3/18 plus 2/3 , to add them , i need to have the same denominator . and the least common multiple of 18 and 3 is 18 . so let 's convert 2/3 to something over 18 . | how did you find the least common denominator of 18 and 3 ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | so this first one , this first one i could write this as log base 10 of 16 , remember if i do n't write the base you can assume it 's 10 , over log over log base 10 of c , and we 're going to be multiplying this by , now this is going to be , we can write this as , log base 10 of c , log base 10 of c over , over log ba... | why is base 10 the default for logarithms ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | now let 's try to , now let 's try to tackle this one over here . so i 've log base c of 16 , times log base two of c , alright . so this one , once again it might be nice to re-write these , each of these , as a rational expression dealing with log base 10 . | even though that is typical , would n't it been faster in that particular example , where 16 is an exponent of 2 , to use log_2 16/log_2 c *log_2 c ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | log of b over log of four , which of course is just going to be log of b over log of four , i just multiplied it by one , and so we can go in the other direction now , using this little tool we established at the beginning of the video . this is the same thing as log base four of b , log base four of b . so we have a p... | should n't the 1/log_a b = log_b a be a logarithm property ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | and i 'll give you an even further hint . when i 'm talking about change of base , i 'm saying that if i have the log base , and i 'll color code it , log base a of b , log base a of b , this is going to be equal to log of b , log of b over log of a , over log of a . now you might be saying wait , wait , wait , we wrot... | what is the difference between log ( m/n ) and log m/log n ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | now let 's try to , now let 's try to tackle this one over here . so i 've log base c of 16 , times log base two of c , alright . so this one , once again it might be nice to re-write these , each of these , as a rational expression dealing with log base 10 . | according to : log_c ( 16 ) * log_2 ( c ) = log_2 ( 16 ) = 4 instead of all the calcul shown in the video , could we do something like : log_c ( 16 ) * log_2 ( c ) = log_2c ( 16c ) and because of this property : log_b ( b^c ) = 1 , can we simply the c 's of log_2c ( 16c ) ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | so this first one , this first one i could write this as log base 10 of 16 , remember if i do n't write the base you can assume it 's 10 , over log over log base 10 of c , and we 're going to be multiplying this by , now this is going to be , we can write this as , log base 10 of c , log base 10 of c over , over log ba... | can the log base be something other than base 10 ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | now let 's try to , now let 's try to tackle this one over here . so i 've log base c of 16 , times log base two of c , alright . so this one , once again it might be nice to re-write these , each of these , as a rational expression dealing with log base 10 . | so , from the 2nd problem can we conclude that ( log ( base a of b ) ) * ( log ( base c of a ) ) = ( log ( base c of b ) ) ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . | when sal is simplifying log16/log2 , why would it not be log8 ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | so we have a pretty neat result that actually came out here , we did n't prove it for any values , although we have a pretty general b here . if i take the , if i take the reciprocal of a logarithmic expression , i essentially have swapped the bases . this is log base b , what exponent do i have to raise b to to get to... | or from what he did , can you take log16/log2 , cancel the logs and divide 16 by 2 , which would give you 8 ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | now let 's try to , now let 's try to tackle this one over here . so i 've log base c of 16 , times log base two of c , alright . so this one , once again it might be nice to re-write these , each of these , as a rational expression dealing with log base 10 . | how can sal simply cancel out the log_10 ( c ) ? |
so we have two different logarithmic expressions here , one in yellow and one in this pinkish color . and what i want you to do , like always , pause the video and see if you can re-write each of these logarithmic expressions in a simpler way . and i 'll give you a hint in case you have n't started yet . the hint is t... | now let 's try to , now let 's try to tackle this one over here . so i 've log base c of 16 , times log base two of c , alright . so this one , once again it might be nice to re-write these , each of these , as a rational expression dealing with log base 10 . | as log_10 ( c ) is in the denominator , does it matter whether log_10 ( c ) will equal zero or not ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | so this is equal to .2 molar . that was the original concentration of iron two plus ions in solution . you could have used the mv is equal to mv equation and modified it , because our ratio is n't one to one here . | is it that it 's providing free hydrogen ions that transfer the electrons between the manganese and iron ions ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | to solve for the concentration of iron two plus , we just take how many moles of iron two plus we have , which is .002 , so we have .002 moles of iron two plus . we started with a total volume of 10 milliliters , which is equal to .01 liters . so we have .01 liters here . | why do you use only 10 ml instead of the total 30 ml to calculate the molarity ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | next , we need to figure out how many moles of iron two plus that we originally started with . to do that , we need to use our balance redox reaction . we 're going to look at the coefficients , because the coefficients tell us mole ratios . | when you were finding the mol for mno4 why did you use 20ml instead 10ml ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | down here , we have a source of permanganate anions . we 're going to drip in the potassium permanganate solution . when we do that , we 're going to get a redox reaction . | the potassium ( k+ ) in the potassium permangenate isnt going to mess up the titration outcome with its positive charge ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | so we have .01 liters here . and .002 divided by .01 is equal to .2 . so this is equal to .2 molar . that was the original concentration of iron two plus ions in solution . | why does the fe^2+ turn into fe^3+ when reacted with mno4^- ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | manganese has an oxidation state of plus seven . over here , for our products , we 're going to make mn two plus . manganese two plus cation in solution , so the oxidation state is plus two . | how do i predict these reactions when products are not given ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | let 's look at some oxidation states really quickly so we can see that this is a redox reaction . for oxygen , it would be negative two . we have four oxygens , so negative two times four is negative eight . | would n't it mean that now there are extra ions which would contribute to an extra volume , and therefore become an inaccurate value to calculate the concentration ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | down here , we have a source of permanganate anions . we 're going to drip in the potassium permanganate solution . when we do that , we 're going to get a redox reaction . | what exactly is referred to 'strength ' of a potassium permanganate solution ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | when we do that , we 're going to get a redox reaction . here is the balanced redox reaction . if you 're unsure about how to balance a redox reaction , make sure to watch the video on balancing redox reactions in acid . let 's look at some oxidation states really quickly so we can see that this is a redox reaction . | is there a video relating cell potentials with redox titrations ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | that means we 've completely reacted all the iron two plus that we originally had present . so we stop our titration at this point . we 've reached the endpoint . | how are the results and calculations affected if too much of the titrant - beyond the equivalence point - is titrated into the beaker ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | next , we need to figure out how many moles of iron two plus that we originally started with . to do that , we need to use our balance redox reaction . we 're going to look at the coefficients , because the coefficients tell us mole ratios . | so just to be clear you need to find the net redox reaction before you find the fe2+ right ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | when we do that , we 're going to get a redox reaction . here is the balanced redox reaction . if you 're unsure about how to balance a redox reaction , make sure to watch the video on balancing redox reactions in acid . let 's look at some oxidation states really quickly so we can see that this is a redox reaction . f... | do end point and equivalence point always coincide in redox titrations if the entity responsible for color change is itself involved in the reaction ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | in here , we 're going to have some potassium permanganate , kmno4 . let 's say the concentration of our potassium permanganate is .02 molar . that 's the concentration that we 're starting with . | i did n't quite understand why they calculate the molar mass and use it to represent concentration ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | we 've already seen how to do an acid-base titration . now let 's look at a redox titration . | what of the ones using reducing agents ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | that 's an increase in the oxidation state . iron two plus is being oxidized in our redox reaction . as we drip in our potassium permanganate , we 're forming our products over here . | why do those redox titrations usually have to happen in two steps ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | the molarity of permanganate is .02 . we have .02 for the concentration of permanganate ions . moles is what we 're solving for . | if there are access permanganate ions in the solution , why we can still use the the delta v as the proper v of permanganate ions that is needed in the reaction ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | as we drip in our potassium permanganate , we 're forming our products over here . these ions are colorless in solution . as the permanganate reacts , this purple color disappears and we should have colorless , we should have a colorless solution . | is the addition drop of the solution count into the delta v ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | that 's the concentration that we 're starting with . potassium permanganate is , of course , the source of permanganate anions , because this would be k plus and mno4 minus . down here , we have a source of permanganate anions . | for eg k2cr2o7 forms k positive cr positive ... im confused ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | as we drip in our potassium permanganate , we 're forming our products over here . these ions are colorless in solution . as the permanganate reacts , this purple color disappears and we should have colorless , we should have a colorless solution . | how can the mixture be colourless if there are coloured ions in there ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | as we drip in our potassium permanganate , we 're forming our products over here . these ions are colorless in solution . as the permanganate reacts , this purple color disappears and we should have colorless , we should have a colorless solution . | why do we add only sulfuric acid solution to provide h+ ions or acidic medium instead of hcl solution ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | let 's say we have 10 milliliters of our solution , and let 's say it 's an acidic solution . you could have some sulfuric acid in there . in solution , we have iron two plus cations and a source of protons from our acid . | how to find the n-factor when the compound acts as an acid but at the same time is a oxidizing agent also ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . | in iodine titration to find out tin content of the fruit juices in tin cans , does the ascorbic acid in the fruit juice interfere with the values obtained ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | let 's say we have 10 milliliters of our solution , and let 's say it 's an acidic solution . you could have some sulfuric acid in there . in solution , we have iron two plus cations and a source of protons from our acid . | if so how to counteract the ascorbic acid so that only tin is measured ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | when we do that , we 're going to get a redox reaction . here is the balanced redox reaction . if you 're unsure about how to balance a redox reaction , make sure to watch the video on balancing redox reactions in acid . let 's look at some oxidation states really quickly so we can see that this is a redox reaction . f... | how to write a redox reaction when given a statement form of it ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | let 's say we have 10 milliliters of our solution , and let 's say it 's an acidic solution . you could have some sulfuric acid in there . in solution , we have iron two plus cations and a source of protons from our acid . | how will kmno4react with acid alkaline and neutral medium ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | let 's get some more room down here . we know that molarity is equal to moles over liters . the molarity of permanganate is .02 . | how will we know the chemical equation ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | if we 're going to find the concentration of iron two plus , we could figure out how many moles of permanganate were necessary to completely react with our iron two plus . we could figure out moles from molarity and volume . let 's get some more room down here . | instead of going through all of those steps , could n't you have used the solution dilation equation ( m1*v1 ) /coefficient = ( m2*v2 ) /coefficient , where m1 and v1 are the molarity and volume of one solution and m2 and v2 are the molarity and volume of the other ? |
we 've already seen how to do an acid-base titration . now let 's look at a redox titration . let 's say we have a solution containing iron two plus cations . we do n't know the concentration of the iron two plus cations , but we can figure out the concentration by doing a redox titration . let 's say we have 10 milli... | five times .0004 is equal to .002 . x is equal to .002 . x represents the moles of iron two plus that we originally had present . | and just plug in the known values ( v1 = 0.0200m , m1 = 0.020l , v2 = 0.010l , and m1 = x ) and their coefficients to get 0.0200m*0.020l = ( 0.010l*x ) /5 and solve for x ? |
: everything we 've discussed so far involved recognizing and tagging or engulfing shady things that were found outside of cells . we 've seen things like a b cell . a b cell has its membrane bound antibodies . maybe one of these might recognize something shady out in the outside of the cell and of course this part ov... | it will wreck some of the antigens that are being produced inside by the viruses . they 're going to bind to mhc one complexes . pieces of the virus are going to bind to mhc one complexes and then they 're going to be presented on the surface . | so mhc i complexes are kind of like whistleblowers in companies that report anything shady ? |
: everything we 've discussed so far involved recognizing and tagging or engulfing shady things that were found outside of cells . we 've seen things like a b cell . a b cell has its membrane bound antibodies . maybe one of these might recognize something shady out in the outside of the cell and of course this part ov... | this is a helper , t helper cell . when it recognizes then it will start dividing into memory helper t cells and effector helper t cells . the effector helper t cells essentially ring the alarm bells and start kind of accelerating the b cell replication or i guess you could say that the b cell activation . | are the cytoxic t cells working at the same time as the helper t cells ? |
: everything we 've discussed so far involved recognizing and tagging or engulfing shady things that were found outside of cells . we 've seen things like a b cell . a b cell has its membrane bound antibodies . maybe one of these might recognize something shady out in the outside of the cell and of course this part ov... | for example a cell like this all ready , so that 's its nucleus . it 's already been infected by some virus so the virus has hijacked the cell 's replication machinery in order to replicate itself . the proper immune response is hey look , i 'm a virus making machine . | is there any virus that stops the major histocompatibility complexes to stop presenting parts of the virus ? |
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