Factor.t3 + 125
A. (t - 125)(t + 1)(t - 1)
B. (t + 5)(t2 - 5t + 25)
C. (t - 5)(t2 + 5t + 25)
D. (t + 5)(t2 + 25)
Answer: B
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Provide an appropriate response. Solve the following using a constant of variation:A gear measures 8 in. across. It turns another gear 6 in. across. If the larger gear has a speed of 30 revolutions per minute (rpm), what is the rpm of the smaller gear?
A. 40 rpm B. 22.5 rpm C. 13 rpm D. 1.6 rpm
Identify which of the twelve basic functions listed below fit the description given.y = x, y = x2, y = x3, y = 
, y = 
, y = ex, y = 
, y = ln x, y = sin x, y = cos x, y = int (x), y = 
The four functions whose graphs look the same turned upside down
A. y = x, y = x3, y = 
, y = sin x
B. y = x, y = x3, y = 
, y = cos x
C. y = x, y = 
, y = sin x, y = 
D. y = sin x, y = cos x, y = x, y = x3
Solve using artificial variables.Maximizez = 12x1 + 15x2subject to:x1 + x2 = 10 3x1 + 3x2 ? 36 4x1 + 2x2 ? 18 x1 ? 0, x2 ? 0
A. Maximum is 120 for x1 = 10, x2 = 0 B. Maximum is 144 for x1 = 2, x2 = 8 C. Maximum is 147 for x1 = 1, x2 = 9 D. Maximum is 150 for x1 = 0, x2 = 10
Use half-angle identities to find the exact value of the expression.sin 22.5°
A. 
B. - 
C. 
D. - 
