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2 years ago

A factory worker can make 14 products in 45 minutes. What is the workers unit rate.

Mathematics

2 answers:

Bingel [31]2 years ago

7 0

Divide 45 by 15. The answer is 3.2 products per minute.

Angelina_Jolie [31]2 years ago

6 0

14 products
per 45 minutes
45/14
Simplify into a decimal
The unit rate is 3 minutes and 21 seconds

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(a) Using Newton's Law of Cooling, $\dfrac{dT}{dt} = k(T - T_s)$ , we have $\dfrac{dT}{dt} = k(T - 75)$ where T is temperature after T minutes.
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Since $T(0) = 185$ , we solve for C:
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So we get $\ln|T - 75| = kt + \ln 110$ . Use T(30) = 150 to solve for k:
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$\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
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But choose Positive because T > 75. Temp of turkey can't go under.

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