Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere (
), measured in cubic feet, is represented by the following formula:

Where
is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:

The derivative of the volume as a function of radius is:

Then, the change in volume is expanded:

If
and
, the change in the volume of the sphere is approximately:


The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Answer:
60 songs.
Step-by-step explanation:
The percentages there are an equal sign so
0.45x=27
x=60
So Brianna listened to 60 songs!
Answer:
Step-by-step explanation:
Given
time taken by Carlos to cycle is 
For case (1)
Average speed 
For 
Distance traveled 
Therefore Carlos might not be able to cover 6 miles with average speed of 16 ft/s
(2)
for 0.5 hr
distance traveled

Therefore Carlos might be able to cover more than 6 miles with 