Total distance covered = 5 x 30 = 150 miles
Angle of travel with respect to south pole = 180 - 164°56' = 15°4'
Let the distance southwards covered be x, then
cos 15°4' = x/150
Thus, x = 150 cos 15°4' = 144.84
Therefore, the distance covered southwards = 145 miles to the nearest mile.
✿————✦————✿————✦————✿
This is the answer:
✿————✦————✿————✦————✿
Step:
* To raise a power to another power, multiply the exponents. Multiply 1/2 and −2 to get −1.
* To raise a power to another power, multiply the exponents. Multiply −1/4 and −2 to get 1/2.
Given:
The insect population function is:
Where x is the number of weeks.
To find:
The population after 4 weeks.
Solution:
The population of insect after x weeks is given by:
We need to find the population after 4 weeks.
After substituting , we get
The population after 4 weeks is 160. Therefore, the correct option is C.