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stepan [7]
3 years ago
10

What is the answer???

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Remark

There must be 12 such boxes. Each one has a volume of 4 * 4 * 4 = 64 in^3

Proportion

1 box is 64 in^3

12 boxes = x

1/12 = 64/x           Cross multiply

x = 12 * 64

x = 768 in^3

Note: We are not concerned with how to stack these boxes. We only want to know the volume.

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Answer:

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Step-by-step explanation:

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tatyana61 [14]

Answer:

(a)g(n)=0.05\cdot 2^n

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Step-by-step explanation:

<u>Part A</u>

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n

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<u />g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)<u />

<u />

<u>Part C</u>

If the thickness of the paper, g(n)=384,472,300,000 mm

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g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

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