Make the same part of the first one
Answer:

Step-by-step explanation:
For this case we know that:

And we want to find the value for
, so then we can use the following basic identity:

And if we solve for
we got:


And if we replace the value given we got:

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

Close enough, it would be 36+6x.
Answer:
23040 bats
Step-by-step explanation:
Let N(t) be the number of bats at time
We know that exponential function

According to question

Where t (in years)
Substitute t=2 and N(2)=180

Substitute t=5 and N(5)=1440

Equation (1) divided by equation (2)

By using the property
Substitute the values of b in equation (1)
Substitute t=9
Hence, after 9 years the expected bats in the colony=23040 bats