Shyla covered a box with fabric. the dimensions of the box are shown in the figure below: a rectangular prism is shown. the length of the rectangular prism is labeled as 11 inches, the height is labeled as 7 inches, and the width is labeled as 8 inches. the fabric costs 7¢ per square inch. she will only pay for the fabric used to cover the box, even if there is waste or extra. how much money did shyla spend on the fabric?

Convert the number to decimal form. 12) 312five a) 82 b) 30 c) 410 d) 1560 13) 156eight a) 880 b) 96 c) 164 d) 110 14) 6715eight a) 53,720 b) 3533 c) 117 d) 152

Michael gose to a theme park and rides two different roller coasters that both begin on a raised platform his height while on the first roller coaster measured in feet from the platform height can be modeled by the following graph where t is the number of seconds since the ride began

Xtax=1. determine their canon- 1. write the following quadratic forms as v(x) ical forms, find the modal matrices (i.e. the matrices of unit eigenvectors) of the corresponding transformations and write down explicite expressions for canonical coordinates (y1, 2, y3) in terms of the original coordinates (x1, x2, x3). state what surfaces these quadratic forms correspond to: = > (a) -a x + 4x12 4x1x38x231; (b) 3-33 + 4xrj224x3122a3= 1; (c) 4a7 2x1 2x1x36x2a3 = 1. 2. solve the following systems of differential equations using the matrix exponential technique 3x 4 (a) x(0) = 5, y(0) = 1; 4x-3y 3.x y(0) = 9, y(0) = 3; -2x 6x2y