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andriy [413]
2 years ago
14

An entrepreneur wants to rent

Mathematics
1 answer:
elena55 [62]2 years ago
7 0
The billboard is 73 ft talk
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If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in
Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, of the box with a square base are described below:

A_{s} = l^{2}+h\cdot l (1)

V = l^{2}\cdot h (2)

Where:

l - Side length of the base, in centimeters.

h - Height of the box, in centimeters.

By (2), we clear h within the formula:

h = \frac{V}{l^{2}}

And we apply in (1) and simplify the resulting expression:

A_{s} = l^{2}+ \frac{V}{l}

A_{s}\cdot l = l^{3}+V

V = A_{s}\cdot l -l^{3} (3)

Then, we find the first and second derivatives of this expression:

V' = A_{s}-3\cdot l^{2} (4)

V'' = -6\cdot l (5)

If V' = 0 and A_{s} = 30000\,cm^{2}, then we find the critical value of the side length of the base is:

30000-3\cdot l^{2} = 0

3\cdot l^{2} = 30000

l = 100\,cm

Then, we evaluate this result in the expression of the second derivative:

V'' = -600

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

V = 30000\cdot l - l^{3}

V = 2000000\,cm^{3}

The largest possible volume of the box is 2000000 cubic meters.

4 0
2 years ago
How many video games can you buy with $125 if one video game costs $5
GalinKa [24]

Your answer's 25

You have to divide 125 times 5 to get your answer of 25

<h2><u>Hope this helps</u></h2>
5 0
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GUYS PLEASE HELP! AND SOLVE THIS WITH ME!
tino4ka555 [31]

Answer:

Step-by-step explanation:

* 33/100 = .3(bar)

* 23/50 =.46

* 6/8 = .75

* 1/3 = .3(bar)

* 7/10 =.7

* 21/81 = .26

* 3/16 = .1875

* 7/20 =.35

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3 years ago
Which has more liquid ,1 gallon of milk or a 12 pack of mountain Dew? how much more?
tatuchka [14]
It depends on the size of Mountain Dew bottles! It differs whether it is a 12 oz or a 16 oz bottle. I need more information to solve it. 
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3 years ago
2+2+3+8+3+8+6+4+0+8+4
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Answer:

58

Step-by-step explanation:

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