SOLUTION:
A box has a square base of side x and height y where x,y > 0.
Its volume is V = x^2y and its surface area is
S = 2x^2 + 4xy.
(a) If V = x^2y = 12, then y = 12=x^2 and S(x) = 2x^2 C 4x (12=x2) = 2x2 + 48x^-1. Solve S'(x) = 4x - 48x-2 = 0 to
obtain x = 12^1/3. Since S(x/) ---> infinite as x ---> 0+ and as x --->infinite, the minimum surface area is S(12^1/3) = 6 (12)^2/3 = 31.45,
when x = 12^1/3 and y = 12^1/3.
(b) If S = 2x2 + 4xy = 20, then y = 5^x-1 - 1/2 x and V (x) = x^2y = 5x - 1/2x^3. Note that x must lie on the closed interval [0, square root of 10]. Solve V' (x) = 5 - 3/2 x^2 for x>0 to obtain x = square root of 30 over 3 . Since V(0) = V (square root 10) = 0 and V(square root 30 over 3) = 10 square root 30 over 9 , the
maximum volume is V (square root 30 over 3) = 10/9 square root 30 = 6.086, when x = square root 30 over 3 and y = square root 30 over 3 .
If your choices are
A. C = 2.99x - 50
B. C = 50 - 2.99x
C. C = 50x - 2.99
D. C = 2.99 - 50x
2.99x
That’s the money you owe for the cherries. That eliminates choices C and D.
50 - 2.99x
When x is zero you should get 50 dollars back, so that eliminates A. You get 50 dollars back minus the money that you owe for the cherries, so that's choice B.
B. C = 50 - 2.99x
I would do 1/2 base* height pi and the cross out pi and divide 120 by 12
and your answer is :10...im not for sure but hopefully it helped.
Answer:
2/8 OR simplified 1/4
Step-by-step explanation:
the denominators have to be the same so you multiply 1/4 by 2 so you get 2/8. Then its 4/8-2/8 so you get 2/8 as your answer
