Answer:
The ball is in the air for approximately 3.27 seconds ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- The height of the ball is modeled by the function
h(t) = -4.9 t² + 16 t
- We need to find the time that the ball is in the air
- The ball is in the air from its initial position and then return to the
same position
- That means h(t) = 0 because h(t) represent the height of the ball
from its initial position
∵ h(t) = -4.9 t² + 16 t
∵ h(t) = 0
∴ 0 = -4.9 t² + 16 t
- Add 4.9 t² to both sides
∴ 4.9 t² = 16 t
- Subtract 16 t from both sides
∴ 4.9 t² - 16 t = 0
- Take t as a common factor
∴ t (4.9 t - 16) = 0
- Equate each factor by 0
∴ t = 0 and 4.9 t - 16 = 0
∵ 4.9 t - 16 = 0 ⇒ add 16 for both sides
∴ 4.9 t = 16
- Divide both sides by 4.9
∴ t = 3.2653
∴ t = 0 ⇒ initial position
∴ t = 3.2653 seconds ⇒ final position
* <em>The ball is in the air for approximately 3.27 seconds</em>
Answer:
36%
Step-by-step explanation:
just subtract 64 from 100
100-64= 36
Answer:
1. Likely.
2. Unlikely
3. Unlikely
4. Neither
5. Likley
Step-by-step explanation:
7 and 1/2 mile because 2,640=1.5 miles
4-1.5=2.5+5=7.5
Answer: 3x⁵ - 2x⁴ - x² + x - 21
<u>Step-by-step explanation:</u>
f(x) = 3x⁵ + 6x² - 5
<u> - g(x)</u> = <u> -2x⁴ - 7x² + x - 16</u>
(f - g)(x) = 3x⁵ - 2x⁴ - x² + x - 21
