If you would like to write 0.097 in fractional notation, you can do this like this:
0.097 = 97 / 1000
The correct result would be <span>A 97/1000.</span>
Hello!
To solve this, first perform the opposite operation for the last operation (on the left side) on both sides. The last operation of the left side is squaring. Therefore, square root both sides.



Please note that you must include ±. This is because the square root of 64 can be either positive or negative, as a square of either a positive or negative number is positive.
Now, add 9 to both sides.

There are 2 solutions from here. One comes from adding 8, and the other subtracting 8. Therefore, the two solutions are:
y = 9 + 8 = 17
y = 9 - 8 = 1
Therefore, your two solutions are 17 and 1.
Hope this helps!
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
B, a supplementary triangle because it all adds up to 180 degrees.