Prove for all natural numbers n if n is odd then n^2 + 3n is even

The measure of an angle is ten less than three times the measure of its compliment. What is the measure of both angles?

The sum of two numbers is 23. Part A: define two variables and create an equation to represent the situation.

F (x) = 3x+10x and g (x) = 2x-4, find (f+g) (x)

Find 3 consecutive even integers whose sum is 138.

What is 3 cups converted to fl oz?

An old billionaire is writing his will, and deciding how to distribute his nine estates among his three children. He wants to give each child at least one estate, and he does not want to give any two of his children the same number of estates.

You drive an average of 300 miles per week in a vehicle that gets only 14 miles per gallon overall. with the cost of gasoline at $3.

F (x) = 9 sin (x) + cot (x), - π ≤ x ≤ π find the interval of increase.

Rewrite the expression in the form 4^n. 4^11/4^-8

Valerie accidentally backed her car into a dumpster and damaged her bumper. The body shop estimated her damages to be $650.