A piece of -in. thick sheet of steel is ft long by

variablename="impvar_4dcab9d0b8cd438b9caa67080" class="wirisformula" /> ft wide. If you cut out two equal pieces of width ft and length 4.3 ft, what size piece will be left? 



A. 0.75 ft x 4.3 ft

B. 3.35 ft x 4.3 ft

C. 3.25 ft x 4.3 ft

D. 3.45 ft x 4.3 ft

E. 2.15 ft x 4.3 ft

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Answer: E

Mathematics

Solve the problem.Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t.a = 12 cos 3t, v(0) = -8, s(0) = 13

A. s =  sin 3t - 8t + 13
B. s = -  sin 3t - 8t + 13
C. s =  cos 3t + 8t + 13
D. s = -  cos 3t - 8t + 13

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. and 

A. y = x + 
B. y = x - 
C. y = x
D. y = 5x + 9

Give the equation of the horizontal asymptote, if any, of the function.g(x) = 

A. y = 1 B. y = 0 C. no horizontal asymptotes D. y = -3, y = 3

Solve the problem.List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without repetition. What is P(4, 3)?

A. 111, 112, 113, 114, 121, 122, 123, 124, 131, 132, 133, 134, 141, 142, 143, 144, 211, 212, 213, 214, 221, 222, 223, 224, 231, 232, 233, 234, 241, 242, 243, 244, 311, 312, 313, 314, 321, 322, 323, 324, 331, 332, 333, 334, 341, 342, 343, 344, 411, 412, 413, 414, 421, 422, 423, 424, 431, 432, 433, 434, 441, 442, 443, 444 P(4, 3) = 64 B. 123, 124, 132, 134, 142, 143, 213, 214, 231, 234, 241, 243, 312, 314, 321, 324, 341, 342, 412, 413, 421, 423, 431, 432 P(4, 3) = 24 C. 123, 124, 134, 234 P(4, 3) = 4 D. 123, 124, 132, 142, 143, 213, 214, 231, 241, 243, 312, 314, 321, 341, 342, 412, 413, 421, 423, 431 P(4, 3) = 20