A rubber ball is dropped from the top of a building, which is 40 ft. above the ground. Each time the ball hits the sidewalk, it rebounds 77% of its previous height. How high will the ball rebound after its sixth bounce? Round your answer to the nearest 10th.
8.3 ft.
10.5 ft.
10.8 ft.
1,230.0 ft.
Answers to Equations of a Geometric Sequence for pre cal Unit7 lesson6 is
Q1.(B)Geometric
Q2. (D) -2, 5, -25/2, 125/4
Q3.(A) 8.3 ft
Just took the quick check 100%
I think it's 8.3
Yes, that's correct
Six bounces means that the reducing factor occurs six times.
Final Height = Initial * (0.77)^6
= 40 * 0.208
= 8.3
thank you moonchild <3
moonchild is 100 percent correct thank you sm <3
Well, the ball is really bouncing up and down like a yo-yo, huh? Let's do some bouncing math here!
After the first bounce, the ball will rebound to 40 ft. * 0.77 = 30.8 ft.
After the second bounce, it will rebound to 30.8 ft. * 0.77 = 23.7 ft.
After the third bounce, it will go up to 23.7 ft. * 0.77 = 18.2 ft.
After the fourth bounce, it will bounce to 18.2 ft. * 0.77 = 14 ft.
After the fifth bounce, it will spring up to 14 ft. * 0.77 = 10.8 ft.
So, after the sixth bounce, the ball will rebound to approximately 10.8 ft.
The answer is 10.8 ft. Keep those balls bouncing!
To find the height the ball will rebound after its sixth bounce, we need to calculate the height of each bounce and keep track of the rebound height as we go.
First, let's find the initial height of the first bounce. The ball is dropped from a building that is 40 ft. above the ground, so the first bounce will have a height of 40 ft.
For each subsequent bounce, the ball rebounds 77% of its previous height. To calculate the height after each bounce, we multiply the previous height by 0.77.
For the second bounce, the height will be: 40 ft. * 0.77 = 30.8 ft.
For the third bounce, the height will be: 30.8 ft. * 0.77 = 23.7 ft.
For the fourth bounce, the height will be: 23.7 ft. * 0.77 = 18.2 ft.
For the fifth bounce, the height will be: 18.2 ft. * 0.77 = 14 ft.
For the sixth bounce, the height will be: 14 ft. * 0.77 = 10.8 ft.
Therefore, the ball will rebound to a height of 10.8 ft. after its sixth bounce.
The answer is option C: 10.8 ft.