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Solve for x !!!!!!!!!!!

Mathematics

1 answer:

Likurg_2 [28]2 years ago

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Answer:

Step-by-step explanation:

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Answer:

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What does n equal in 2(n+5)=-2

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Newton’s law of cooling states that the temperature of an object changes at a rate proportionalto the difference between the tem

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Answer:

$\frac{dT}{dt} = -0.05\;min^{-1} (T-70\ºF)$

Step-by-step explanation:

Hi!

Lets call:

T = temprature of the object

T₀ = temperature of surroundings

t = time

The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

$\frac{dT}{dt} = -k(T-T_0) \\$

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

$\frac{dT}{dt} = -0.05\;min^{-1} (T-70\ºF)$

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