Write a recurrence equation for a multiplication algorithm that squares any n-digit number by dividing the n-digit number into three parts, each comprised of n/3-digits. this way you are reducing the operation to multiplying six n/3-digit numbers. you mat assume n to be "nice". solve the recurrence equation using the recursion tree approach to find the exact number of multiplications and additions to find the square of a number. you may represent an atomic multiplication between two, one-digit numbers, as µ and the atomic addition of two, one-digit numbers, as α.

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

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.

Multiply and simplify 2x^2 y^3 z^2 · 4xy^4 x^2