Answer:
let x = the amount of orange juice in a full glass.
the glass is 1/6 full = 1/6 * x
add 95 cubic centimeters and the glass becomes 4/5 full.
equation for that is:
1/6 * x + 95 = 4/5 * x
subtract 1/6 * x from both sides of this equation to get:
95 = 4/5 * x - 1/6 * x
multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:
95 = 24/30 * x - 5/30 * x
combine like terms to get 95 = 19/30 * x
multiply both sides of the equation by 30/19 to get:
30/19 * 95 = 30/19 * 19/30 * x
simplify to get:
30/19 * 95 = x
solve for x to get x = 150.
the volume of the glass is 150 cubic centimeters.
1/6 * 150 = 25
4/5 * 150 = 120
the difference between 4/5 full and 1/6 full is 95 cubic centimeters.
solution is that the volume of the glass is 150 cubic centimeters.
Step-by-step explanation:
Answer: x=2/e^2
Step-by-step explanation:
Well since 1275 is a monthly fee that would be your slope or m. Since your 3% commission is then your, y-intercept or b. So fine the commission by multiplying 1275 by .03, to find the commission. Then plug it all into slope intercept form which is, y=mx+b.
The x’s all have to be different to be a function. The last answer is not a function
(a) We want to find a scalar function 
such that 
. This means
Looking at the first equation, integrating both sides with respect to 
gives
Differentiating both sides of this with respect to 
gives
Then the potential function is
(b) By the FTCoLI, we have
