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
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Use the graph to evaluate the limit.f(x)
A. -
B.
C. ?
D. -1
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
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
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