The half-life of carbon-14 is given as 5730 years. The decay constant (k) can be calculated using the formula:
\[k = \frac{\ln(2)}{t_{1/2}}\]
where \(t_{1/2}\) is the half-life. Substituting the given half-life into the formula, we get:
\[k = \frac{\ln(2)}{5730}
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