An archaeologist locates a fossil of an early human skeleton. To determine the age of the fossil, the archaeologist utilizes a technique called carbon dating, where the relative amount of carbon-14 can help determine the age of the fossil. Carbon-14 has a half-life of about 5700 years. He finds that the fossil contains 15% of the amount of carbon-14 anticipated when compared to a living femur of the same size. The decay of carbon-14 can be calculated as shown below, where N0 is original amount of carbon-14, t is the time of decay, in years, r represents the rate of decay, and N(t) represents the amount of carbon-14 remaining. Rounded to the nearest year, the skeleton is approximately years old.

The skeleton is approximately 18970 years old.

Step-by-step explanation:

The amount of Carbon-14 remaining after t years is given by the following equation:

In which N(0) is the initial amount and r is the decay rate, as a decimal.

Carbon-14 has a half-life of about 5700 years.

This means that

So

So

He finds that the fossil contains 15% of the amount of carbon-14 anticipated when compared to a living femur of the same size.

The age is t for which N(t) = 0.15N(0). So

Rounding to the nearest year.

The skeleton is approximately 18970 years old.

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: