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. We'll assume we can make "perfect folds," where each fold makes the folded paper exactly twice as thick as before - and we can make as many folds as we want. A. Write a function g that determines the thickness of the folded paper (in mm) in terms of the number folds made, n.
B. The function g has an inverse. The function g determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g-1.
C. Use your function in part (b) to determine how many times you must fold a piece of paper to make the folded paper have a thickness that is the same as the distance from the earth to the moon. (Assume the distance from the earth to the moon is 384,472,300,000 mm).

(a)

(b)

(c)43 times

Step-by-step explanation:

Part A

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:

Part B

Part C

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

Then:

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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the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.