An expression for the height of the nth bounce is 0.80X^N = Height.
<h3><u>Equations</u></h3>
Since when dropped, a super ball will bounce back to 80% of its peak height, continuing on in this way for each bounce, to determine an expression for the height of the nth bounce the following calculation must be performed:
- X = Initial value
- 80% = 0.80
- N = Number of times the ball bounces
- 0.80X^N = Height
Therefore, an expression for the height of the nth bounce is 0.80X^N = Height.
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240 = 2 × 120
120 = 2 × 60
60 = 2 × 30
30 = 2 × 15
15 = 3 × 5
The 2, 2, 2, 2, 3 and 5 are all the prime factors of 240. So, 2^4 × 3 × 5
1500 = 3 × 500
500 = 5 × 100
100 = 5 × 20
20= 5 × 4
4 = 2 × 2
The 3, 5, 5, 5, 2 and 2 are all the prime factors of 1500. So, 2² + 3 + 5³
Answer:
-14
Step-by-step explanation:
