Solve the problem.Newton's Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. Suppose that a coffee is served at a temperature of 146°F and placed in a room whose temperature is 70°F. The temperature ? (in °F) of the coffee at time t (in minutes) can be modeled by ?(t) = 70 + 76e-0.09t. What is the temperature of the coffee in 5 minutes?

A. 123.0°F
B. 114.3°F
C. 123.5°F
D. 118.5°F


Answer: D

Mathematics

You might also like to view...

Use the graph to evaluate the limit.f(x)

A. - 
B.
C. ?
D. -1

Mathematics

Determine the most appropriate metric unit to go in the blank. Choose from L, ml, kg, g, and mg.Helen and Juan went hiking. Between the two of them they brought 5  of water.

A. mL B. mg C. g D. kg E. L

Mathematics

Solve the problem.A lot is in the shape of a right triangle. The shorter leg measures 120 meters. The hypotenuse is 40 meters longer than the length of the longer leg. How long is the longer leg?

A. 120 m B. 240 m C. 200 m D. 160 m

Mathematics

Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?

A. 0.35 B. 0.559 C. 0.224 D. 0.217

Mathematics