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 132°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 + 62e-0.08t. When will the temperature be 105°F?
A. 3.6 minutes
B. 2.9 minutes
C. 1.5 minutes
D. 7.1 minutes
Answer: D
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Solve the problem. Round your answer to the nearest tenth, when appropriate. Use the formula , as needed.Find the pH if [H3O+] = 4.2 × 10-7.
A. -7.6 B. 7.6 C. 6.4 D. 6.7
Factor the trinomial completely.8x4 + 18x2 + 9
A. (4x2 - 3)(2x2 - 3) B. (4x2 + 1)(2x2 + 9) C. (8x2 + 3)(x2 + 3) D. (4x2 + 3)(2x2 + 3)
Factor the expression completely. If the polynomial is prime, state this as your answer.49x2 - 25
A. (49x + 1)(x - 25) B. (7x - 5)2 C. (7x + 5)2 D. (7x + 5)(7x - 5)
The relationship between the length h (in inches) of a humerus bone (the one connecting your shoulder to your elbow) and the height H of a person is given by
Male: H = 2.89h + 27.81 Female: H = 2.75h + 28.14 A detective found a 17-inch humerus bone belonging to a male. How tall was the male? Round your answer to two decimal places. A) 30.93 inches B) 74.89 inches C) 44.81 inches D) 76.94 inches E) 29.96 inches