Solve the problem.A data-recording thermometer recorded the soil temperature in a field every 2 hours from noon to midnight, as shown in the following table. Use the Trapezoidal Rule to estimate the average temperature for the 12-hour period. Round your answer to the nearest hundredth if necessary.

A. 63.94°F
B. 74.33°F
C. 76.7°F
D. 63.92°F


Answer: D

Mathematics

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Solve the system. 2x2 + y2 = 173x2 - 2y2 = -6

A. {(1, 3), (-1, -3)} B. {(2, 3), (2, -3), (-2, 3), (-2, -3)} C. {(1, 3), (1, -3), (-1, 3), (-1, -3)} D. {(2, -3), (-2, 3)}

Mathematics

Add.688 + 31,732

A. 38,612 B. 32,420 C. 31,420 D. 33,850

Mathematics

Determine whether the function is continuous.

Mathematics

Solve the problem.Newton's law of cooling states that the temperature f(t) of a body at time t is given by:   where C and k are constants and T0 is the temperature of the environment in which the object rests. If C = -29.4 and k = 0.04 and t is in hours, how long will it take for a frozen roast to thaw to a temperature of 0°C in a refrigerator that is at 5°C? Round your answer to the nearest hour.

A. 48 hr B. 38 hr C. 42 hr D. 44 hr

Mathematics