Solve the problem.Newton's Law of Cooling states that the rate of change of temperature of an object is proportional to the difference in temperature between the object and the surrounding medium. Thus, if T is the temperature of the object after t hours and T0 is the (constant) temperature of the surrounding medium, thenwhere k is a constant. Assume that the temperature of a body at death is 98.6°F, the temperature of the surrounding air is 53°F, and at the end of one hour the body temperature is 89°F. Use Newton's Law of Cooling to determine the number of hours that have elapsed when the temperature of the body is 75°F.

A. 5.4 hours
B. 4.3 hours
C. 3.9 hours
D. 3.1 hours


Answer: D

Mathematics

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Match the inequality to its graph.y < -2

A.

B.

C.

D.

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Solve by the substitution method.9x + 9y = -9 6x - 6y = 6

A. (-1, 0) B. No solution C. (0, -1) D. (0, 0)

Mathematics

Perform the indicated operations.Estimate by rounding to the nearest hundred, then find the actual sum.434564562365

A. Estimate: 2,900 Actual: 2,827 B. Estimate: 2,830 Actual: 2,290 C. Estimate: 2,800 Actual: 1,925 D. Estimate: 2,827 Actual: 2,393

Mathematics

Solve the problem.In a lab experiment 2 grams of acid were produced in 32 minutes and 8 grams in 39 minutes. Let y be the grams produced in x minutes. Write an equation for grams produced.

A. 7y = 6x + 30  B. 7y = 6x - 178  C. 7y = 6x + 178 D. y = x + 30 

Mathematics