Answer: To determine the estimated age of the artifact, we can use the half-life of carbon-14 and the percentage of carbon-14 that is present in the artifact.
The half-life of carbon-14 is the amount of time it takes for half of the carbon-14 in a sample to decay. In this case, the half-life of carbon-14 is 7,730 years.
The percentage of carbon-14 that is present in the artifact is 44%. This means that the artifact contains 44% of the carbon-14 that it would have had when it was originally made.
To determine the age of the artifact, we can use the formula:
age = (half-life / log(2)) * log(percentage of carbon-14 / 100)
Substituting the values from the problem into the formula, we get:
age = (7,730 years / log(2)) * log(44% / 100)
age = (7,730 years / 0.693) * log(0.44)
age = 11,095 years * (-0.847)
age = -9,432 years
Therefore, the estimated age of the artifact is -9,432 years.
It is important to note that this is just an estimate, and the actual age of the artifact may be different. Carbon-14 dating is only accurate up to a certain point, and the accuracy of the age determination depends on several factors, including the initial concentration of carbon-14 in the sample and the presence of any contaminants.