A satellite has an initial radioisotope power supply of 50 watts. The power output in watts is

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A satellite has an initial radioisotope power supply of 50 watts. The power output in watts is given by the equation

\[P=50 e^{-t / 250}\]

where \(t\) is the time in days. If the satellite will operate if there is at least 10 watts of power, how long would we expect the satellite to operate?

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