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Nat2105 [25]
3 years ago
6

How do you figure out 3h = 120

Mathematics
2 answers:
Andrews [41]3 years ago
6 0
By doing cross multiply and dividing 3 on both sides of the equ
cestrela7 [59]3 years ago
5 0

Answer:

h=40

Step-by-step explanation:

3h = 120

Divide 3 on both sides of the equation.

\frac{3h}{3}=\frac{120}{3}

h=40

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Answer:

Solution set = {25}

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Newton's law of cooling is:
Mnenie [13.5K]

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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If we apply exponential in both sides we got:

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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:

32 = 59 e^{-0.15 t} +11

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If we apply natural logs on both sides we got:

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

7 0
3 years ago
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