a wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in living trees. how long ago, to the nearest year, was the artifact made? (the half-life of carbon-14 is 5730 years.)

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1.5 half lives times 5730 years per half life is 6590 years.

What is meant by Fraction?

Fraction:  A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Fraction still left equals 0.5n, where n is the total number of half lives that have already passed.

Fraction left = 0.45, thus you have 0.45 = 0.5n and by figuring out n, you get,

n = log 0.5 + log 0.45

-0.347 = -0.301n

Half lives for n = 1.15 have passed.

1.5 half lives times 5730 years per half life is 6590 years.

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6590 years are equal to 1.5 half lives times 5730 years per half life.

What does "fraction" mean?

A fraction is a number that is expressed as a quotient by dividing the numerator by the denominator. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Where n is the total number of half lives that have already occurred, the fraction of time left is equal to 0.5n.

Fraction left = 0.45, thus you have 0.45 = 0.5n and by figuring out n, you get,

n = log 0.5 + log 0.45

-0.347 = -0.301n

Half lives for n = 1.15 have passed.

1.5 half lives times 5730 years per half life is 6590 years.

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