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An Archaeologist Has Found a Fossil in Which the Ratio 14C{ } ^ { 14 } \mathrm { C }

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An archaeologist has found a fossil in which the ratio of 14C{ } ^ { 14 } \mathrm { C } to 12C{ } ^ { 12 } \mathrm { C } is 17\frac { 1 } { 7 } the ratio in the atmosphere. Approximately how old is the fossil? The half-life of 14C{ } ^ { 14 } \mathrm { C } is 5,730 years. Round to the nearest whole year.

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