The ball's velocity will be represented by the derivative of its distance function:

Now find the times

for which this is equal to 30, i.e. solve

This has two solutions,

, but only one is positive and falls in the interval
![[0,3]](https://tex.z-dn.net/?f=%5B0%2C3%5D)
. So the velocity reaches 30 cm/s when

.
Answer:
15.5x - 300 >= 280
Step-by-step explanation:
Let x = the number of hours she works.
The amount of money she earns will be 15.50x
Her rent costs $300, so that value gets subtracted from the amount she earns. That makes our expression for how much money she earns:
15.5x - 300
This amount has to be over 280, so our inequality will be:
15.5x - 300 >= 280
Answer:
C)12 x 108 has the closest value.
Step-by-step explanation:
Firstly, (7 x 108) + (5 x 105) is equal to 756 + 525 which is equal to 1281.
A)7 x 108= 756
B)12 x 1013= 12156
C)12 x 108=1296
D)7 x 1013=7091
Answer:
2438.4
Step-by-step explanation:
multiply 96 by 25.4
I would tell her that her prediction is inaccurate because it isn’t guaranteed that the coin will land on both sides an equal amount of times. It’s possible that the coin could land heads up more often than it could land tails up or the other way around.