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Klio2033 [76]
4 years ago
7

Simplify. ³√-125n^12 a. -5n^9 b. -5n^4 c. 5n^4

Mathematics
1 answer:
OLga [1]4 years ago
5 0
Look
\boxed{ \sqrt[3]{-125n^{12}} = \sqrt[3]{-125} * \sqrt[3]{n^{12}} =\boxed{-5n^4}}

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(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw
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Answer:

a. \frac{dT}{dt}=k(T-Tm); T(0)=190

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a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

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\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122

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T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259

d.

150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\

8 0
4 years ago
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