Answer:
Step-by-step explanation:
This is a geometric sequence; we know that because of the words "common ratio." The general formula for a geometric sequence is
a(n) = a(1)*r^(n - 1), where r is the common ratio.
Here, a(1) = 1, r = 1/3, and so
a(1) = 1 (given)
a(2) = 1/3 (this is a(1) multiplied by 1/3)
a(3) = 1/9 (this is a(2) multiplied by 1/3)
a(4) = 1/27
a(5) = 1/81
Answer:
1 7/20
Step-by-step explanation:
|-3/5|+3/4= 3/5+3/4
= 27/20
= 1 7/20
The phase shift is 7.2 right
Answer:
a = 3, b = 6, c = 5
Step-by-step explanation:
![{3}^{ \frac{6}{5} } = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find : \\ a = 3 \: \: b = 6 \: \: c = 5 \\](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B%20%5Cfrac%7B6%7D%7B5%7D%20%7D%20%20%3D%20%20%5Csqrt%5B5%5D%7B%20%7B3%7D%5E%7B6%7D%20%7D%20%20%5C%5C%20equating%20%5C%3A%20it%20%5C%3A%20with%20%5C%5C%20%20%5Csqrt%5Bc%5D%7B%20%7Ba%7D%5E%7Bb%7D%20%7D%20%20%5C%3A%20we%20%5C%3A%20find%20%3A%20%20%5C%5C%20a%20%3D%203%20%5C%3A%20%20%5C%3A%20b%20%3D%206%20%5C%3A%20%20%5C%3A%20c%20%3D%205%20%5C%5C%20)
Sinx=0.9
arcsin0.9=x
cos(arcsin0.9)=0.436