On a certain day, the temperature, in degrees Fahrenheit, in a small town t hours after midnight (𝑡= 0)  is modeled by the function 𝑔(𝑡) = 65 − 8 𝑠𝑖𝑛   (𝜋𝑡12) . What is the average temperature in the town between 3 A.M. (𝑡= 3)  and 6 A.M. (𝑡= 6) , in degrees Fahrenheit?Responses57.60957.60957.79757.79758.17258.17259.907

Each of the following temperature ranges is in degrees Fahrenheit. Use the formula 𝐹=95⁢𝐶+32 to find the corresponding temperature range in degrees Celsius (using interval notation and assume inclusion).𝑎. at or below 95°F(−∞,663]  𝑏. at or above -13°F  𝑐. at or below 131°F  𝑑. at or above 32°F

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 70 degrees at midnight and the high and low temperature during the day are 76 and 64 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Amanda is planning a vacation. The travel agent says the average high temperature at the resort is 55 degrees Celsius. What is the equivalent Fahrenheit temperature?Step 3 of 3 :  Finally, solve the problem by substituting in the appropriate values. (Round your answer to 2 decimal places if necessary.)

1. The average (arithmetic mean) high temperature for x days is 70 degrees. The addition of one day with a high temperature of 75 degrees increases the average to 71 degrees.  Quantity A Quantity Bx 5(A) Quantity A is greater.(B) Quantity B is greater.(C) The two quantities are equal.(D) The relationship cannot be determined from the information given.

When a factory operates from 6:00 a.m.6:00 a.m. to 6:00 p.m.6:00 p.m., its total fuel consumption varies according to the formula f(t)=0.9t2−0.3t√+10𝑓(𝑡)=0.9𝑡2−0.3𝑡+10, where t is the time in hours after 6:00 a.m.6:00 a.m. and f(t)𝑓(𝑡) is the number of barrels of fuel oil. What is the average rate of consumption from 6:00 a.m.6:00 a.m. to 4:00 p.m.4:00 p.m.? Round your answer to two decimal places and, if necessary, round any intermediate calculations to six decimal places.