Using a geometric sequence, it is found that:
- The rule for the height of the nth bounce is:
- The height of the fifth bounce is of 9.28 cm.
In a <em>geometric sequence</em>, the quotient between consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which 
is the first term.
In this problem:
- Bounces to 65% of the height from which it was dropped, thus the common ratio is of
. - Dropped from 80 cm, thus, the height of the first bounce is
.
Thus, the rule for the height of the nth bounce is:
The height of the fifth bounce is 
, thus:
The height of the fifth bounce is of 9.28 cm.
A similar problem is given at brainly.com/question/11847927
Answer:
40%
Step-by-step explanation:
Tanya has a a choice of 5 different routes (1-20 mins, 2-30 mins, 2-40 mins).
How many routes can she take that will take her 30-mins to get home?
The answer is 2.
What's the probability she will take 2 of the 5 routes to get home?
The probability is 2/5 so 40%.
The rounding instruction was there to mislead you in this case :-)
Answer:
Fact
Step-by-step explanation:
A Fact is a statement that has been proved :)
Linear line formula: y = mx + b
m = slope
b = y-intercept
In this case the question gives us what we need to substitute.
m = 4
b = 3
y = 4x + 3
________
Best Regards,
Wolfyy :)
Answer:
$46.75
Step-by-step explanation:
The amount the sale item costs now is 0.85($55) = $46.75.
That 85% is equivalent to 0.85.
