According to Newton's Law of Cooling, the rate at which a hot object cools down depends on certain factors, including the physical properties of the object and the difference between the object's temperature and the surrounding temperature.  Catherine poured hot water into a ceramic cup and measured its temperature as it cooled down in a 64-degree room. Using Newton's Law of Cooling, a formula was found to model the temperature (in degrees Fahrenheit) of the water over time, t (measured in minutes): T=w(t)=64+104.1e^−0.051t What was the starting temperature of the heated water? Answer:    degrees Fahrenheit According to the equation, what will be the temperature of the water at 180 seconds? [Give your answer correct to at least three decimal places.] Answer:    degrees Fahrenheit According to the equation, when will the temperature of the water be 112 degrees Fahrenheit? [Give your answer correct to at least three decimal places.] Answer: t=  minutes

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Chapter1: Units, Trigonometry. And Vectors
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According to Newton's Law of Cooling, the rate at which a hot object cools down depends on certain factors, including the physical properties of the object and the difference between the object's temperature and the surrounding temperature. 

Catherine poured hot water into a ceramic cup and measured its temperature as it cooled down in a 64-degree room. Using Newton's Law of Cooling, a formula was found to model the temperature (in degrees Fahrenheit) of the water over time, t (measured in minutes):

T=w(t)=64+104.1e^−0.051t

What was the starting temperature of the heated water?

Answer:    degrees Fahrenheit

According to the equation, what will be the temperature of the water at 180 seconds?

[Give your answer correct to at least three decimal places.]

Answer:    degrees Fahrenheit

According to the equation, when will the temperature of the water be 112 degrees Fahrenheit?

[Give your answer correct to at least three decimal places.]

Answer: t=  minutes

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