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Talja [164]
3 years ago
14

How do solve 3/8j = 6

Mathematics
1 answer:
fredd [130]3 years ago
6 0
If you would like to solve 3/(8j) = 6 for j, you can do this using the following steps:

<span>3/(8j) = 6
</span>3 = 6 * 8j
3 = 48j
j = 3/48
j = 1/16

<span>If you would like to solve (3/8) * j = 6 for j, you can do this using the following steps:
</span>
<span>(3/8) * j = 6
</span>j = 6 * 8/3
j = 16
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Consider a 25 factorial design. (a) How many factors and levels are considered in this factorial experiment
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Step-by-step explanation:

From the information given;

We are to take a look at a 2⁵ factorial design.

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A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.
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Answer:

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

(b)g^{-1}(n)=\log_{2}20g(n)

(c)43 times

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

<u>Part B</u>

<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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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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