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:
If you hope to get the rare Deathcharger's Reins mount from Baron Rivendare for example, we know that it has a 1% drop chance. That means that every time you kill the Black Baron you have a 1% chance of getting the mount. 1% on the first kill, and 1% on the 100th kill. However, over the course of 100 kills, you have a much higher probability of getting the mount. But not 100%. Never 100%.
Step-by-step explanation:
 
        
             
        
        
        
Since we don't want to use the Pythagorean Theorem on all of these, first we look for some Pythagorean Triples. Its very helpful to know some of the common ones, so here's a list:
3, 4, 5
5, 12, 13
7, 24, 25
8, 15, 17
So we either look for these or a multiple of these numbers.
The last one is the only one that fits because 15, 20, 25 is a multiple of the triple 3, 4, 5 by multiplying all of them by 5. 
Thus, 15, 20, 25 forms a right triangle. 
        
             
        
        
        
CDAB
4.2 (convert to frac on ur own)
12.5=x
CB= 14.5
AB= 8.82