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Constructing an accurate history of ancient climates is important, since the knowledge gained may have relevance to global climate change today.In the study just mentioned, investigators used a solar-powered drill to bore through the ice cap at the summit of an extinct Bolivian volcano named Sajama.N(0)/2 = N(0)e^(k*5730) cancel out the N(0)'s on both side and replace with 1's.1/2 = 1*e^(k*5730) ln(1/2) = ln[e^(k*5730)] -0.693147181 = k*5730 k = -0.000120968 (Do not round off since we will be using this in calculations and want the greatest accuracy.In 1988, scientists received permission to remove small samples for carbon dating. S.; Oxford, England; and Zurich, Switzerland analyzed the samples.All three laboratories came to the same conclusion: The shroud had lost about 8 percent of its carbon-14 atoms to radioactive decay.As discoveries of such quality are rare, the event was a genuine treasure trove for scientists.

Prior understanding had been that tropical regions were mostly unaffected by past ice ages.Since we know the time and the amounts, we can calculate the constant k.N(5730) = [N(0)e^(k*5730)] Since after 5730 years, 1/2 will remain, then N(t) = N(0)/2.Since a radioactive substance such as carbon 14 has a known half life the amount of carbon 14 remaining in an object can be used to date that object. In 1991, hikers in the Tyrolean Alps of Europe made a remarkable discovery.

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