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saw5 [17]
3 years ago
13

A box shaped like a cube has edges that are 7.5 inc

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0
A box of what????? I don't get it
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Simplify each expression then factor the expression 14-28t-5(7+10t)
ludmilkaskok [199]

Answer:

Simplified: -21-98t

Factored: -7(14t+3)

Step-by-step explanation:

The given expresion is:

14-28t-5(7+10t)

We expand the parenthesis to get:

14 - 28t -35 - 70t

We group like terms to get:

14 -35  - 28t- 70t

We combine similar terms to get:

- 21- 98t

We now factor to obtain:

- 21- 98t =  - 7(14t + 3)

5 0
3 years ago
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

4 0
1 year ago
Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.
Andrew [12]
The correct answer is 5/16.
5 0
2 years ago
jenns age is 3 years less than marks age the sum of their ages is 30 let m be marks age find Jenna age
melamori03 [73]

Answer:

you could do 27+x=30

Step-by-step explanation:

7 0
3 years ago
What is 10.73 in word form
Andrej [43]
Ten and seventy-three hundredths
8 0
3 years ago
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