Four members from a 45-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. the first person selected is the chairperson; the second, the vice-chairperson; the third, the secretary; and the fourth, the treasurer. how many different leadership structures are possible?

How many liters of peroxide should be added to 12 liters of an 8% peroxide solution so that the resulting solution contains 16% peroxide?   original added new amount of peroxide 0.96 liters x 0.96 + x amount of solution 12 liters x 12 + x 0.18 liter 1.14 liters 1.92 liters 2.10 liters

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.

Catherine saved some money and plans to add the same amount each week to her savings account. the table represents the number of weeks that she will save, x, and the total amount of money that she will have in her account, y. weeks, x dollars in account, y 4 74 6 86 9 104 11 116 which linear equation represents catherine’s situation?