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ExtremeBDS [4]
3 years ago
12

Solve this problem:

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0

Answer:

The answer is

{x}^{8}

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Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

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

7 0
3 years ago
just use 5 ounce of lemonade concentrate for every 9 ounce of orange juice (a) find the ratio of number of ounces of orange juic
Maslowich

A) 9 : 5

B) 5( 36/9) which is 20 ounces of lemonade concentrate

7 0
3 years ago
The probability that an event will occur is 15%. Which of these best describes the likelihood of the event occurring? (5 points)
olga_2 [115]
Unlikely because certain would be 100% which is wrong
6 0
3 years ago
If the tank is then field to capacity how many half-gallon bottles how many cords will it make?
lukranit [14]

Answer:

Divide 12 by 4 first to figure out how many gallons are in each 1/4 of the tank. 

12/4=3

So if I added another 1/4 to the capacity:

It could hold 15 gallons. 

All you have to do to find how many half bottles can be filled is to times 15 by two since we are filling half gallon bottles.

15x2=30

30 bottles.

6 0
3 years ago
Which of the following is something that should not be a consideration when choosing a health care plan?
saw5 [17]
The HOC FM tv U.N. jus us fox
6 0
3 years ago
Read 2 more answers
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