P(x) = x^4 – 2x^3+ kx – 4 where k is an unknown integer. P(x) divided by (x - 2) has a remainder of 1. What is the value of k?

In 2000, for a certain region, 27.1% of incoming college freshman characterized their political views as liberal, 23.1% as moderate, and 49.8% as conservative. for this year, a random sample of 400 incoming college freshman yielded the frequency distribution for political views shown below. a. determine the mode of the data. b. decide whether it would be appropriate to use either the mean or the median as a measure of center. explain your answer. political view frequency liberal 118 moderate 98 conservative 184 a. choose the correct answer below. select all that apply. a. the mode is moderate. b. the mode is liberal. c. the mode is conservative. d. there is no mode.

Order the equations from least to greatest based on the number of solutions to each equation.-4^x -1 = 3^(-x) – 2 -3x + 6 = 2^x+13^x – 3 = 2x - 2

12 3 4 5 6 7 8 9 10 time remaining 42: 01 ryan gathered data about the age of the different dogs in his neighborhood and the length of their tails. which best describes the strength of the correlation, and what is true about the causation between the variables?