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goldenfox [79]
3 years ago
5

I need help on my math I'm in K12

Mathematics
1 answer:
postnew [5]3 years ago
4 0
What do you need help with
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mina [271]
Follow the link above.
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3 years ago
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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
2 years ago
7f=49 i need help fasttttttttt
malfutka [58]

Answer:

f = 7

Step-by-step explanation:

7f = 49

Divide each side by 7

f = 7

7 0
3 years ago
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With one<br> do I pick<br> the right on e
katen-ka-za [31]
The answer is

B) 2n - 5

because it's -5 than twice the width (2n)
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ivanzaharov [21]

Answer:

D Stanton encourages the audience to spread the word for their cause

Step-by-step explanation:

I just know I have done the test and it makes the most sense. :)

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3 years ago
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