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Newton's law of cooling indicates that the temperature of a warm object will decrease exponentially with time and will approach the temperature of the surrounding air. The temperature T(t) is modeled by T(t) = Ta + (T0 - Ta)e-kt. In this model, Ta represents the temperature of the surrounding air, T0 represents the initial temperature of the object and t is the time after the object starts cooling. The value of k is the cooling rate and is a constant related to the physical properties of the object.
Water in a water heater is originally 131°F. The water heater is shut off and the water cools to the temperature of the surrounding air, which is 80°F. The water cools slowly because of the insulation inside the heater, and the rate of cooling is 0.00348. Dominic does not like to shower with water less than 116°F. If Dominic waits 24 hr after the heater is shut off, will the water still be warm enough for a shower? How warm will the water be?
Select one:
a. No; the temperature after 24 hr will be approximately 80°F
b. Yes; the temperature after 24 hr will be approximately 127°F
c. No; the temperature after 24 hr will be approximately 106°F
d. Yes; the temperature after 24 hr will be approximately 128°F
The January 1994 issue of The Nation ranked 22 columnists by how much they used the words I, me, and myself. Select your favorite newspaper columnist.
Rob earns $50,000 per year. The mean salary for engineers with less than 5 years experience is $60,000 with a standard deviation of $5000. What is the Z value of Rob?
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in a normal distribution find the probability expressed as a percentage that is greater than a z score of
looking for help with this one. i dont see anythign wrong off the bat it seems ok. is the sample size too small?suppose
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A student receives the following? grades, with an A worth 4? points, a B worth 3? points, a C worth 2? points, and a D worth 1 point.
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