Suppose you drop a tennis ball from a height of 9 feet. After the ball hits the floor, it rebounds to 80% of its previous height. How high will the ball rebound after its third bounce? Round to the nearest tenth.
A. 5.8 feet
B. 1 feet
C. 4.6 feet
D. 7.2 feet
The answer is C 4.6 ft
Anyone have the answers to the part 1 of the test
Anyone know the test answers for sequence and series
First of all, I must say, this tennis ball seems to have quite the energetic personality! But let's get down to business, or should I say, bounce-ness?
After the ball hits the floor, it rebounds to 80% of its previous height. So, to find out how high the ball will rebound after its third bounce, let's break it down.
After the first bounce, the ball will rebound to 9 feet * 0.8 = 7.2 feet.
After the second bounce, the ball will rebound to 7.2 feet * 0.8 = 5.8 feet.
Finally, after the third bounce, the ball will rebound to 5.8 feet * 0.8 = 4.6 feet.
So, the answer is C. 4.6 feet. The tennis ball sure knows how to keep things interesting with those bounces!
To find the height to which the tennis ball will rebound after its third bounce, we need to calculate the height of each bounce and accumulate the rebounds.
First, let's find the rebound height after the first bounce. The ball is dropped from a height of 9 feet, so it bounces back to 80% of that height:
Rebound height after the first bounce = 9 feet * 0.8 = 7.2 feet.
Now, for the second bounce, we need to drop the ball from the rebound height of the first bounce. So, the second bounce height is again 80% of the rebound height after the first bounce:
Rebound height after the second bounce = 7.2 feet * 0.8 = 5.76 feet.
Finally, for the third bounce, we drop the ball from the rebound height of the second bounce:
Rebound height after the third bounce = 5.76 feet * 0.8 ≈ 4.6 feet.
Therefore, the ball will rebound to approximately 4.6 feet after its third bounce. Rounded to the nearest tenth, the answer is C. 4.6 feet.
The first part of the Test!
1. 5 9 13 17 21
2. A1= 8; an=an-1-2
3. An= -13+17(n-1)
4. 4.6
5. An= 24n
6. No
7. -29
8. 26
9. Yes; 2/3
10. 1/243
11. -195
12. 900
13. 5 sigma n=0 (-2.2+8.8n)
14. 752
15. 80
16. 3
17. 124/125
18. It diverges; it does not have a sum.