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KatRina [158]
2 years ago
5

A shipping company must design a closed rectangular shipping crate with a square base. The volume is 2880ft3. The material for t

he top and sides costs $3 per square foot and the material for the bottom costs $7 per square foot. Find the dimensions of the crate that will minimize the total cost of material.
Mathematics
1 answer:
inysia [295]2 years ago
6 0

The dimensions of the crate that will minimize the total cost of material are 10, 10, and 29.

<h3>How to compute the dimension?</h3>

The volume will be:

= Length × Width × Height

= lwh

For the square base, w = l

2880 = w²h

The cost function will be:

C = 12wl + 4wh + 4lh

Put l = w.

C = 12w² + 8wh

C = 12w² + 8w(2880/w²)

C = 12w² + 23040/w

Differentiate with respect to w

C'(w) = 0

24w = 23040/w²

24w³ = 23040

w³ = 960

w = 10 approximately

The length is 16 as well as they are the same. The height will be:

= 2880/w²

= 2880/10²

= 28.8 = 29

Therefore, the dimensions are 10, 10, and 29.

Learn more about cost on:

brainly.com/question/25109150

#SPJ1

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Lara chooses a number less than 20
grandymaker [24]

Answer:

15

Step-by-step explanation:

x/2 + 6 / 3 = 4.5

x/2 + 6 = 4.5 *3

x/2 = 13.5 - 6

x = 7.5 * 2

x = 15

Hope u understnad.

Please mark as the brainliest

8 0
3 years ago
Beth wants to earn $500 to purchase a tv. she earns $8 hour at her job. the funtion b(h) = 8h represents the amount of money bet
Contact [7]

Answer:

I'm not sure but ... 0\leq h \leq 63

Step-by-step explanation:

500 divided by 8 is 62.5 so I just rounded it to 63

5 0
3 years ago
Help, can’t figure it out, need help fast
olga55 [171]
B to the second means b * b.
The short hand for b*b is b^2 on this editor or b^{2}
c to the fourth means c * c * c *c
the short hand for c*c*c*c is c^4 on this editor or  c^{4}

The answer you want is b^2/c^4 in the answer box. 
If this is wrong and you have choices, please list them and I will edit or put the answer in a comment.

5 0
3 years ago
The first terms of a geometric sequence are as follows.
Flauer [41]

The fourth and fifth term of this sequence is -30 and -10 respectively.

Data;

  • first term (a) = -810
  • common difference (r) = ?

<h3>Common Difference</h3>

The common difference in a geometric progression is the ratio between two successive terms.

Let's find the common difference in this sequence

r = \frac{-270}{-810} \\r = \frac{1}{3}

The nth term of a geometric sequence is given as

T_n = ar^n^-^1\\

The next two terms of this sequence will be 4th and 5th term.

The fourth term of this sequence is

T_4 = ar^4^-^1\\T_4 = -810 * (\frac{1}{3})^3\\ T_4 = -810 * \frac{1}{27}\\ T_4 = -30

The fifth term of this sequence is

T_5 = ar^5^-^1\\T_5 = -810 * (\frac{1}{3})^4\\T_5 = -810 * \frac{1}{81} \\T_5 = -10

The fourth and fifth term of this sequence is -30 and -10 respectively.

Learn more on geometric progression here;

brainly.com/question/12006112

3 0
2 years ago
Nate is 10 9/12 years old. How old will he be in 2 1/12 more years.
Reil [10]
The answer is B. 10 9/12 + 2 1/12= 12 10/12. 12÷2=6 10÷2=5 making the answer 12 5/6
7 0
3 years ago
Read 2 more answers
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