Answer:
Step-by-step explanation:
Represent the length of one side of the base be s and the height by h. Then the volume of the box is V = s^2*h; this is to be maximized.
The constraints are as follows: 2s + h = 114 in. Solving for h, we get 114 - 2s = h.
Substituting 114 - 2s for h in the volume formula, we obtain:
V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)
This is to be maximized. To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:
dV
----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2
ds
Simplifying this, we get dV/ds = -4s^2 + 114s = 0. Then either s = 28.5 or s = 0.
Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in
and the volume is V = s^2(h) = 46,298.25 in^3
A 150% markup of a picture frame that costs 2.99 would cost : 4.49
Correct me if I’m wrong, I believe you have to add all of those numbers together. Then divide after and plug in those remaining digits
Answer:
28.9
Step-by-step explanation:
2782 divied by 96 gives you 28.9.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .
So,
<h3>
<u>Hence</u><u> </u><u>opt</u><u>ion</u><u> </u><u>C </u><u>is</u><u> correct</u><u>.</u></h3>
