Answer:
?
Step-by-step explanation:
78#+#;€+"+!''+€€€€€:&328ospd
Answer:
2hrs 30mins
Step-by-step explanation:
Take the like terms on one side:
2m=6-14
2m = 8
m= 8/2
m= 4
Answer:
Step-by-step explanation:
Part A.
Expression 
= 10
Because 100 = 
and ![[(10)^2]^{\frac{1}{2}}=10^1=10](https://tex.z-dn.net/?f=%5B%2810%29%5E2%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D10%5E1%3D10)
[Since, 
]
Part B.
When simplified, the answer is RATIONAL.
[Since, 10 can be written as 
]
Answer:
13.6 ft
Step-by-step explanation:
The geometric sequence of arc lengths can be described by ...
f(n) = a·b^n
We have (n, f(n)) = (3, 20) and (7, 12). Using these values, we can find the common ratio (b):
20 = a·b^3
12 = a·b^7
Then ...
12/20 = (a·b^7)/(a·b^3) = b^4 = 3/5
We want the 6th term, which we can get from the 7th term by multiplying by b^-1.
b^(-1) = (b^4)^(-1/4) = (3/5)^(-1/4) = √(√(5/3)) ≈ 1.13622
Then the 6th swing had an arc length of ...
f(6) = f(7)·b^-1
f(6) = (12 ft)(1.13622) ≈ 13.63 ft ≈ 13.6 ft
