If an object at temperature (B) is surrounded by air at temperature (A), it will gradually cool
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If an object at temperature \(B\) is surrounded by air at temperature \(A\), it will gradually cool so that the temperature \(T\), \(t\) minutes later, is given by Newton's law of cooling:
\[T=A+(B-A) 10^{-k t}\] The constant \(k\) depends on the particular object and can be found by solving for \(k\) \[k=\frac{1}{t} \log \frac{B-A}{T-A}\]
Use this information for Problems 34-37.
You take a batch of chocolate-chip cookies from the oven \(\left(375^{\circ} \mathrm{F}ight)\) when the room temperature is \(74^{\circ} \mathrm{F}\). If the cookies cool for 10 minutes and \(k=0.075\), what is the temperature of the cookies?
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