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
We have that
<span>Log3 a/3
</span>Rewrite log3(a/3) using the change of base <span>formula
we know that
</span>The change of base rule can be used if a and b are greater than 0 and not equal to 1, and x is greater than 0<span>.
</span>so
loga(x)=<span>logb(x)/<span>logb<span>(a)
</span></span></span>Substitute in values for the variables in the change of base <span>formula
</span>
in this problem
b=10
a=3
x=a/3
log3(a/3)=[log (a/3)]/[log (3)]
the answer is
[log (a/3)]/[log (3)]
Answer: about 66.6% that he will not pick a PB one
Step-by-step explanation: Put both of them together and you get 15. 15 divede by 3 is 5. Two 5's is 10, which is about nine, so it would be 2/3 chance of getting an oatmeal cookie, which is the opposite of getting a pb one, 2/3 in a percentage is 66.6%
Add the like terms. So I'll add the variables. 8x+6x is 14x. Now add whole numbers. 30+10 is 40. Our new expression we'll be 14x+40=180. Subtract 40 from 180. 180-40=140. Now we have the expression 14x=140. 140 divided by 14 is 10. So x is 10.
