For this case, we have that the equation of the position is given by:

To find the velocity, we must derive the equation from the position.
We have then:

Then, we evaluate the derivative for time t = 8.
We have then:
Answer:
the instantaneous velocity at t = 8 is:
Answer:
12.5 cm
Step-by-step explanation:
0.625km=62500cm. The scale factor is 1:5000. So the distance on the map will be 62500/5000=12.5 cm
You need to find the volume so,

= volume. So then we need the radius which would be 5. So,

= about 523.3 cm cubed
Answer: The area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.
Step-by-step explanation:
I will assume that the exercise says "
times the base and height of Jerry’s rhombus".
The area of a rhombus can be calculated with the following formula:

Where "b" is the length of the base and "a" is the altitude or the height.
Then, you can calculate the area using the formula shown above.
Therefore, you get:
1. Jerry's rhombus:

2. Charlene's rhombus:

Dividing the area calculated, you get:

Therefore, you can conclude that the area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.
It would be 10x5 + 3x8= 74