Simplify the expression by using a sum or difference identity.cos (53°) cos(47°) + cos(-37°) sin(-47°)

A. 0
B. cos 100°
C. 1
D. sin 100°


Answer: B

Mathematics

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Solve the equation.80x3 + 3 = 48x2 + 5x

A.
B.
C.
D.

Mathematics

Solve.A school has just purchased new computer equipment for  The graph shows the depreciation of the equipment over 5 years. The point (0, 21,000) represents the purchase price and the point (5, 0) represents when the equipment will be replaced. Write a linear equation in slope-intercept form that relates the value of the equipment, y, to years after purchase x . Use the equation to predict the value of the equipment after 2 years.

A. y = 21,000x + 5; value after 2 years is $12,600.00 B. y = - 4200x + 21,000; value after 2 years is $12,600.00; C. y = 4200x - 21,000; value after 2 years is $12,600.00 D. y = - 21,000x + 21,000; value after 2 years is $-21,000.00

Mathematics

The inverse of the coefficient matrix is given for the system of equations. Use the inverse matrix to solve the system. ; A-1 = 

A. {(-13, -28)} B. {(-36, 28)} C. {(26, -56)} D. {(13, -8)}

Mathematics

Determine the integral by making an appropriate substitution.d?

A. sin2 ? cos2 ? + C
B. (sin ? cos2 ?)2 + C
C. - ln + C
D. (1 + cos3 ?)2 + C
E. none of these

Mathematics