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A preserved plant is estimated to contain

A preserved plant is estimated to contain $1$ microgram (a millionth of a gram) of Carbon $14$.The amount of Carbon 14 present in the preserved plant is modeled by the equation $$f(t) = A\left(\frac\right)^$$ where $t$ denotes time since the death of the plant, measured in years, and $A$ is the amount of Carbon $14$ present in the plant at death, measured in micrograms.

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A preserved plant is estimated to contain $1$ microgram (a millionth of a gram) of Carbon $14$.

$microgram (a millionth of a gram) of Carbon$.The amount of Carbon 14 present in the preserved plant is modeled by the equation $$f(t) = A\left(\frac\right)^$$ where $t$ denotes time since the death of the plant, measured in years, and $A$ is the amount of Carbon $present in the plant at death, measured in micrograms. Carbon-14 has a relatively short half-life of 5,730 years, meaning that the fraction of carbon-14 in a sample is halved over the course of 5,730 years due to radioactive decay to nitrogen-14. The carbon-14 isotope would vanish from Earth's atmosphere in less than a million years were it not for the constant influx of cosmic rays interacting with molecules of nitrogen (N) into organic compounds during photosynthesis, the resulting fraction of the isotope 14C in the plant tissue will match the fraction of the isotope in the atmosphere. In the task ''Carbon$14$Dating'' the amount of Carbon$14$in a preserved plant is studied as time passes after the plant has died. In practice, however, scientists wish to determine when the plant died and, as this task shows, this is not possible with a simple measurement of the amount of Carbon$14\$ remaining in the preserved plant.

Carbon has two stable, nonradioactive isotopes: carbon-12 (12C) and carbon-13 (13C).

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