Find the common ratio of r 6,24,96,384

Write an algebraic expression for two fifths the cube of a number

A triangle is placed in a semicircle with a radius of 4ftFind the area of the shaded region. Use the value 3.14 for π
, and do not round your answer. Be sure to include the correct unit in your answer.

String A is 30cm longer than string B. String B is 60cm longer than than string C. The total length of all 3 strings is 3m. Find the length of string C?

The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).(A) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
(B) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
(C) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
(D) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground

a company pays its employees a base salary of $1000 every other week. plus $30 for each sale. How many sales did the employee have if the paycheck is $1540

imagine an investigation in which 40 students were asked to determine their chronotype by choosing from among four chronotypes instead of three: morning person, night person, neither, or both. If there is no relationship between chronotype and birth month, about what fraction of the students would you expect to pick the chronotype that matches their birth month? why do you think this?