Solve the problem.When a dead body is discovered, one of the first steps in the ensuing investigation is for a medical examiner to determine the time of death as closely as possible. If the temperature of the medium has been fairly constant and less than 48 hours have passed since death, Newton's law of cooling can be used. Newton's law of cooling states, , where k is a constant, T is the temperature of the object after t hours, and TM is the (constant) temperature of the surrounding medium. Assuming the temperature of a body at death is 98.6°F, the temperature of the surrounding air is 69°F, and at the end of one hour the body temperature is 89°F, when will the

temperature of the body be 77°F? Round to the nearest tenth of an hour.

A. 1.9 hr
B. 0.4 hr
C. 0.7 hr
D. 3.3 hr


Answer: D

Mathematics

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Find y".y =  tan(9x - 5)

A.  sec2(9x - 5) tan(9x - 5)
B.  sec2(9x - 5)
C.  sec(9x - 5)
D.  sec2(9x - 5) tan(9x - 5)

Mathematics

Solve the problem. Round your answer, if appropriate.Boyle's law states that if the temperature of a gas remains constant, then PV = c, where , and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 13 in. 3/sec, at what rate is P increasing when P = 70 lb/in.2 and V = 50 in.3? (Do not round your answer.)

A.  lb/in.2 per sec
B.  lb/in.2 per sec
C.  lb/in.2 per sec
D.  lb/in.2 per sec

Mathematics

Sketch the graph of the equation. Identify the vertex and the intercepts.y = x2 - 2x

A. Vertex: (- 1, - 1); 
x-intercepts: (0, 0) and (-2, 0); 
y-intercept: (0, 0)

B. Vertex: (1, - 1); 
x-intercepts: (0, 0) and (2, 0); 
y-intercept: (0, 0)

C. Vertex: (- 1, - 1); 
x-intercepts: (0, 0) and (-2, 0); 
y-intercept: none

D. Vertex: (1, - 1); 
x-intercepts: (0, 0) and (2, 0); 
y-intercept: none

Mathematics

The following expressions represent denominators of rational expressions. Find their LCD.n, 5 + n, and 5 - n

A. n(5 + n)(5 - n) B. n2 + 25 C. 25n2 D. 25 - n2

Mathematics