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snow_tiger [21]
3 years ago
8

Can Someone Give Me Steps On How To Do This Or The Answers Please!!

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0
Cube is Volume= (length of sides)3
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An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
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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

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4 0
1 year ago
Garret grew 2 2/3 inches each year for the past 3 years. How many inches total has Garret grown in the past 3 years ?
fomenos

Answer:

8 inches,

Step-by-step explanation:

2 2/3 = 8/3.

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7 0
3 years ago
What do you set each term equal to in order to solve for all of the "roots" of a function? No links please :)​
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Answer:

Solving quadratic equations can be difficult, but luckily there are several different methods that we can use depending on what type of quadratic that we are trying to solve. The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

Step-by-step explanation:

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3 0
3 years ago
URGENT. PLEASE HELP WITH PROBLEM WITH EXPLANATION!!!
IRINA_888 [86]

Answer:

D is the answer of the question

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3 years ago
Forty-seven is less than or equal to five times three,added to nine
irina1246 [14]

Answer:

You need to do 5 times 3 for 15 a d then add 9 to get 24, so 47 is not less than or equal to 5 times 3 add 9

Step-by-step explanation:

8 0
3 years ago
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