Problem

A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.) Round your answer to the nearest year.

The artifact was made years ago.

Answer

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Answer

Final Answer: The artifact was made \( \boxed{5730} \) years ago.

Steps

Step 1 :Given that the wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees.

Step 2 :This means that one half-life of carbon-14 has passed since the artifact was made.

Step 3 :The half-life of carbon-14 is given as 5730 years.

Step 4 :Therefore, the age of the artifact is equal to the half-life of carbon-14.

Step 5 :Substitute the given values into the equation.

Step 6 :Let half_life_of_carbon_14 = 5730

Step 7 :So, age_of_artifact = half_life_of_carbon_14 = 5730

Step 8 :Final Answer: The artifact was made \( \boxed{5730} \) years ago.

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