Answer:
1080 in^2
Step-by-step explanation:
Answer:
3 cups of water
Step-by-step explanation:
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
Answer:
33.2%
Step-by-step explanation:
Calculate the z-scores.
z = (x − μ) / σ
z₁ = (82 − 100) / 15
z₁ = -1.2
z₂ = (98 − 100) / 15
z₂ = -0.133
Use a chart or calculate to find the probability.
P(-1.2 < Z < -0.133) = P(Z < -0.133) − P(Z < -1.2)
P(-1.2 < Z < -0.133) = 0.4470 − 0.1151
P(-1.2 < Z < -0.133) = 0.3319
Rounded to the nearest tenth, the percentage is 33.2%.
Answer:
The answer is A
Step-by-step explanation:
2t(t-4)
(2t x t)(2t x -4)
2t^2 - 8t
