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sergij07 [2.7K]
3 years ago
9

36% of the 1,035 people who watched the new sequel to a popular action movie thought it was better than the original. Find the m

ean.
A. 238.5
B: 662.4
C: 15.4
D: 372.6
Mathematics
2 answers:
aksik [14]3 years ago
8 0

<u>Answer:</u> 372.6

<u>Reasoning:</u> 1035 x .36=372.6

pickupchik [31]3 years ago
6 0

<u><em>Answer: 372.6</em></u>


<u><em>Reasoning: 1035 x .36=372.6</em></u>


<u><em>That Is The Only Answer I Could Get></em></u>

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Newton's law of cooling is:
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Answer:

t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr

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Step-by-step explanation:

For this case we have the following differential equationÑ

\frac{du}{dt}= -k (u-T)

We can reorder the expression like this:

\frac{du}{u-T} = -k dt

We can use the substitution w = u-T and dw =du so then we have:

\frac{dw}{w} =-k dt

IF we integrate both sides we got:

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And if we replace w = u-T we got:

u(t)= T + C_1 e^{-kt}

We can also express the solution in the following terms:

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For this case we know that k =-0.15 hr since w ehave a cooloing, T_{i}= 70 F, T_{amb}=11F, we have this model:

u(t) = (70-11) e^{-0.15t} +11

And if we want that the temperature would be 32F we can solve for t like this:

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\frac{21}{59} = e^{-0.15 t}

If we apply natural logs on both sides we got:

ln (\frac{21}{59}) =-0.15 t

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So it would takes approximately 6.9 hours to reach 32 F.

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