Solve the problem.The temperature (in degrees Fahrenheit) of a dead body that has been cooling in a room set at 70° is measured as 88°. One hour later, the body temperature is 87.5°. How long (to the nearest hour) before the first measurement was the time of death, assuming that the body temperature of the deceased at the time of death was 98.6°. Assume the cooling follows Newton's Law of Cooling:   U = T + (Uo - T)ekt.

What will be an ideal response?


The deceased died approximately 16 hours before the first measurement.

Mathematics

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Solve.The monthly cost of a certain long distance service is given by the linear function  where C(t) is in dollars and t is the amount of time in minutes called in a month. Find the cost of calling long distance for 80 minutes in a month.

A. $14.35 B. $15.95 C. $13.35 D. $6.40

Mathematics

Solve the problem.A coin is tossed upward from a balcony 242 ft high (ho) with an initial velocity (vo) of , according to the formula h(t) = -16t2 + vot + ho, where t is time in seconds. During what interval of time will the coin be at a height of at least 50 ft?

A. 3 sec ? t ? 4 sec B. 0 sec ? t ? 1 sec C. 0 sec ? t ? 4 sec D. 4 sec ? t ? 8 sec

Mathematics

For what values of x does the series converge absolutely?

A. -? < x < 0 B. -? < x < ? C. 0 < x < ? D. 0 ? x < ?

Mathematics

Given: ?1 ??3



Proof: STATEMENTS REASONS
m?1 = m?3 ________________________

Mathematics