Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have?

Justify your answer fully. Show and explain all work for each matrix A.(Ct is transpose of C, C- is inverse of C.) A = -1 8 4 0 1 -10 0 0 -1 A = -1 -4 0 0 1 0 0 10 -1 (a) determine whether or not there exists an orthogonal matrix C such that (Ct)AC=V...

lim as thetha -> 0 (sec theta - 1)/(theta sec theta)

a ship leaves a port at point A and sails 51 kilometers on a course of 264 degrees to point B. then it sails 78 kilometers on a course of 37 degrees to point C. find to the nearest degree and unit the magnitude of the net displacement from A to C

A square matrix A is called nilpotent if there is a positive integer n such that A^n = 0. (0 is the matrix with all entries 0.) Prove that if r is an eigenvalue of a nilpotent matrix, then r = 0.

suppose you have a lemonade stand, and when you charge $2.00 per cup of lemonade and you sell 100 cups. But when you raise your price to $4.00 you only sell 50 cups. write an equation for the number of cups you sell as a function of the price you charge. denote c for number of cups and p for...

Suppose a bullet is fired on a distant planet so that its height (in feet) after t seconds is given by h = -4t^ + 16t + 5. When is the bullet at its highest point?

What is 2 *5?

One task took 7 minutes (min), a second task took 12 min, and a third task took 21 min. How long did the three tasks take, as a fraction of an hour?

Evaluate the indefinite integral. (5dx)/(xln(2x))