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14. (8 points) Recall that the Richter scale measures the intensity of earthquakes and is given by the formula M = log Where I is
14. (8 points) Recall that the Richter scale measures the intensity of earthquakes and is given by the formula M = log Where I is the intensity of the earthquake (measured in cm) and S is the intensity of a "standard" sized earthquake, whose amplitude is measured at 10* cm. An earthquake strikes a town with a magnitude of 6.8 on the Richter scale. What is the magnitude of another earthquake that is 40 times as intense?1. (4 points) Let n = 10g( p) and m = log(q) . What is log LE) ? Circle the correct answer. J3 n m n m 4/; m 411 (a) 1; (b) 3: (C) I; (d) E (6) g 2. (5 points) Let h(x) = 3log4(16x). Determine the correct formula for h'1(x) . 3. (3 points) After taking a single dose of Prozac, the amount, P (in milligrams), of the drug remaining in the bloodstream x hours later can be modeled by the function: P = 80(0.925)" . Of the following statements, which one is true? Circle the correct answer. (a) The amount of drug remaining in the bloodstream increases by 92.5% per hour. (b) The amount of drug remaining in the bloodstream decreases by 92.5% per hour. (c) The initial dose of Prozac was 92.5 mg. ((1) The amount of drug remaining in the bloodstream decreases by 7.5% per hour. (e) The decay factor for the drug Prozac is 0.075
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