Ga girl scout troop with 10 girl scouts and 2 leaders goes on a hike. when the path narrows, they must walk in single file with a leader at the front and a leader at the back. how many ways are there for the entire troop (including the scouts and the leaders) to line up?

What basic trigonometric identity would you use to verify that csc x sec x cot x = csc^(2)x

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

You need to solve a system of equations. you decide to use the elimination method. which of these is not allowed? 3x - 2y = 7 3x + 4y = 17 equation 1 equation 2