Solve the problem.A cup of coffee is heated to 194° and is then allowed to cool in a room whose air temperature is  After 11 minutes, the temperature of the cup of coffee is  Find the time needed for the coffee to cool to a temperature of 102°. Assume the cooling follows Newton's Law of Cooling:   U = T + (Uo - T)ekt.(Round your answer to one decimal place.)

A. 29.7 minutes
B. 15.1 minutes
C. 41.1 minutes
D. 26.4 minutes


Answer: D

Mathematics

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Convert the temperature algebraically. Round the answer to one decimal place.52.6°C to Fahrenheit

A. 62.7°F B. 126.7°F C. 61.2°F D. -2.8°F

Mathematics

Solve the problem.In one area, the lowest angle of elevation of the sun in winter is 21° 7'. A fence is to be built  away from a plant in the direction of the sun. (See drawing) Find the maximum height, x , for the fence so that the plant will get full sun. Round your answer to the tenths place when necessary. 

A. 5.1 ft B. 4.1 ft C. 4.8 ft D. 6.3 ft

Mathematics

Find the expected value.A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?

A. $0.75 B. $2.00 C. -$3.00 D. $3.00

Mathematics

Without graphing, determine whether the graph of the quadratic function opens up or opens down. Also, determine of the graph will be wider or narrower than the graph of y = x2.f(x) = 3x + x2 - 5

A. down, wider B. up, wider C. up, narrower D. down, narrower

Mathematics