Solve by trial.x + 3 = 14
A. 11
B. 15
C. 13
D. 10
Answer: A
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Replace the polar equation with an equivalent Cartesian equation.r2 = 36r cos ? - 6r sin ? - 9
A. (x - 18)2 + (y + 3)2 = 9 B. (x - 18)2 + (y + 3)2 = 324 C. 36x - 6y = 9 D. (x + 36)2 + (y - 6)2 = 9
Solve the problem.Maria, Daniel, Stephanie, Michael, Elena, Tyler, Sue, and Dimitri have reserved eight seats in a row at the theater, starting at an aisle seat. In how many ways can they arrange themselves if Maria and Daniel are to sit next to each other?
A. 10,080 B. 1440 C. 5040 D. 11,520
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 150°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 + 80e-0.06t. When will the temperature be 105°F?
A. 13.8 minutes B. 6.9 minutes C. 5.9 minutes D. 6.2 minutes
Solve the problem.The following data represents the temperature T (°Fahrenheit) in a certain city x hours after midnight over the course of one day.
a) Find the average rate of change in temperature from 6 AM to 12 noon. Round to two decimal places.b) Find the average rate of change in temperature from 6 PM to 9 PM. Round to two decimal places.c) Decide on a function of best fit to these data (linear, quadratic, or cubic) and use this function to predict the temperature at 4 PM. Round to one decimal place.
What will be an ideal response?