Answer:
3.2768 feet
Step-by-step explanation:
The situation can be model by h(x)=8*(4/5)^(n-1). For the 5th jump, n=5. The height will be 8*(4/5)^4=3.2768
Answer:
1) f
4 * ¼ = 1 (Multiplicative inverse property)
2) c
6 * 1 = 6 (Identity property of multiplication)
3) h
5 + 7 = 7 + 5 (Commutative property of addition)
4) j
If 5 + 1 = 6 and 4 + 2 = 6, then 5 + 1 = 4 + 2 (Transitive property)
5) a
4(x - 3) = 4x - 12 (Distributive property)
6) i
3(5) = 5(3) (Commutative property of multiplication)
7) k
Rules that allow us to take short cuts when solving algebraic problems.(Properties)
8) d
5 * (3 * 2) = (5 * 3) * 2 (Associative property of multiplication)
9) g
4 + (-4) = 0 (Additive inverse property)
10) e
2 + 0 = 2 (Identity property of addition)
11) b
A + (B + C) = (A + B) + C (Associative property of addition)
We have the following equation:
x2 + y2 + 6y - 72 = 0
Rewriting we have:
x2 + y2 + 6y = 72
Complete squares we have:
x2 + y2 + 6y + (6/2) ^ 2 = 72 + (6/2) ^ 2
x2 + y2 + 6y + (3) ^ 2 = 72 + (3) ^ 2
x2 + y2 + 6y + 9 = 72 + 9
x2 + (y + 3) 2 = 81
So, the center is:
(0, -3)
The radio is:
r = 9
Answer:
(0, -3)
r = 9
Answer:
57.6 pages
Step-by-step explanation:
First, you need to identify how many minutes are in 3/5 of an hour:
1 hour = 60 minutes
3/5 of an hour = 3/5 of 60 minutes
= 3/5(60)
= 36
So, you need to find out how many pages can be printed in 36 minutes. To figure this out, a ratio can be used:
15 : 24
36 : p
p represents pages in 36 minutes.
Now, you need to solve the ratio by figuring out what you need to multiply 15 by to get 36 and then multiplying that by 24:
15 * 36/15 = 36
36/15 = 2.4
24*2.4
= 57.6 pages
