A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.

B) Find general solution by separating variables and integrating

:
C) Initial condition is t=0, T = 87

D) Total time elapsed is 10 minutes, new temperature is 84

solve for alpha

E) Temperature function is:

solving for t

Plug in T = 98.6

This is approximately 32 minutes before he arrived or about 1:20 AM
Answer:
True
Step-by-step explanation:
Answer:
32468.41 yards
Step-by-step explanation:
11,405.59 + 12,048.82 + 9,014 = 32468.41
32468.41 yards
Answer:
C. 
Step-by-step explanation:
Let x represent number of miles.
We have been given that a taxi cab charges $1.50 for the flat fee and $0.50 for each mile.
The cost of riding x miles would be
and the total cost of riding x miles would be
.
Since Sharon has only $25 to spend on the taxi ride, so the cost of riding x miles on taxi must be less than or equal to 25.
We can represent this information in an inequality as:

Therefore, option C is the correct choice.