Answer all questions! 1. What’s the common ratio of the geometric sequence2,0.5,0.125,1/32? Write this geometric sequence as an explicit formula.
2. Vertically dilate the linear function z(x) = 4x−1by a factor of three. What’s the equation of the vertically dilated function?
3. Consider the linear functionsy(x) = 2x+ 8andg(x) =−2x+ 4. What are theiry-intercepts? Write these functions in factored form. What are theirx-intercepts?

The number of nails of a given length is normally distributed with a mean length of 5.00 in, and a standard deviation of 0.03 in. find the number of nails in a bag of 120 that are less than 4.94 in. long.

Refer to the table below if needed. second quadrant third quadrant fourth quadrant sin(1800- - cos(180° -) tan(180°-e) =- tane cot(1800-0) 10 it to solo 888 sin(180° +c) = - sine cos(180° +) =- cose tan(180° +c) = tane cot(180° +o) = cote sec(180° + c) = - seco csc(180° +2) = - csce sin(360° -) =- sine cos(360° -) = cose tan(360° - e) =- tane cot(360° -) = -cote sec(360° -) = seco csc(360° -) = csco sec(180° -) = csc(180° -) = csca 1991 given that sine = 3/5 and lies in quadrant ii, find the following value. tane

Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?