Answer:

Step-by-step explanation:
<u>Complete Question:</u>
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?
<u>Solution:</u>
First Swing:
24 m
Second Swing:
Half of first, so
24(1/2)
Third Swing:
Half of second, so:
24(1/2)(1/2)
Fourth Swing:
24(1/2)(1/2)(1/2)
So we see the general formula as:

<u>Note:</u> n -1 because (1/2) plays a role from second swing, which is n - 1
where n is the number of swings
I am pretty sure the answer is 56:14. Please correct me if I am incorrect.
Answer:
1.643
Step-by-step explanation:
The second number has more digits so it will be the base
Answer:
(p + 6)(p + 2)
Step-by-step explanation:
I believe you meant p^2 + 8p + 12 = 0, in which " ^ " indicates exponentiation.
Note that 12 = 2*6, and that these two factors, 2 and 6, add up to 8. Thus,
p^2 + 8p + 12 = 0 = (p + 6)(p + 2)
Answer:
One eighth
Step-by-step explanation:
By multiplying each fraction by 100, you can get the percentage.
(1/8) x 100 = 12.5
(5/4) x 100 = 125
(16/25) x 100 = 64