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:
3(4x + 1)(x - 4) Answer choice B
Step-by-step explanation:
-12x^2 + 45 + 12
You would take out the -3 in the equation.
-3(4x^2 -15x - 4)
You can then multiply the first 4 and the last -4 and get a -16. You can then find two numbers that would multiply to -16 and add to -15.
You would do this by listing the factors of -16, which the numbers 1 and -16 would work.
You would then substitute each value in for the 17x and add them together, which this is just separating the value 17x.
3(4x^2 - 16x + x - 4)
3(4x^2 - 16x)(x - 4)
You can then take ou ta four for the first function in the parentheses.
3(4x(x - 4) 1(x - 4))
Then you take the function from the outside and the inside.
3(4x + 1)(x - 4)
The answer to the question would be B.
-2 * 3 = -6.
-6/2 = -3.
-3 * 2 = -6
-6 + 2 = -4
-4 - 2= -6
-6 * 2 = -12.
I think I did that right lol
Answer: i think you're talking about dilations and there are specific formulas depending on the situation.
for example: the dilation of (x,y) is (-1/2x, -1/2y).
you'd probably need to subtract 2 from whatever measurements of the shape you're working with. i'm not completely sure though
The domain represents the time traveled. It is any positive number.
