The height is modelled by the equation:

Therefore

At the maximum height dh/dt = 0:
Hence,


Hence, the ball gets to the maximum height after 5s.
The maximum height is given by h(5):

Therefore, the maximum height is 5 ft.
When the ball reaches the ground h(t) = 0:

The ball reaches the ground in 10s
.
Answer:
79.38 mile per hour
$6.76
Step-by-step explanation:
It was easy, just divide and multiply
Answer:
100 degrees
Step-by-step explanation:
Since triangle ABC is similar to triangle DEF, their angles are basically the same.
All angles of a triangle have to add up to 180.
We are already given two angles: 30 and 50
Add them together: 30 + 50 = 80
Now we subtract the number from 180
180 - 80 = 100
The remaining angle has to be 100 degrees
1. There are 10 ducks in total, 5 in each pool.
2. For each pool, the probability of picking a certain numbered duck—for instance, #3—is 20%.
3. Because the pools are separate with, picking one duck from one pool does not affect the chance of picking a certain duck from the other pool.
4. Therefore, the probability that a contestant wins the game is 20%.
Good luck!
Answer:
-20x.....
Step-by-step explanation:
–4(5x)
-20x