Write an equivalent expression using a commutative or associative law, as indicated.(4x + 7y) + 7z; associative

A. 4x + 7y + 7z
B. 4x + (7y + 7z)
C. (7y + 4x) + 7z
D. (4x + 7y + 7z)


Answer: B

Mathematics

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Solve the problem.The differential equation for a falling body near the earth's surface with air resistance proportional to the velocity v is dv/dt = -g - av, where g = 32 feet per second per second is the acceleration due to gravity and a > 0 is the drag coefficient. This equation can be solved to obtain  v(t) = (v0 - v?)e-at + v?, where v0 = v(0) and v? = -g/a = v(t), the terminal velocity.This equation, in turn, can be solved to obtain  y(t) = y0 + tv? + (1/a)(v0 - v?)(1 - e-at) where y(t) denotes the altitude at time t. Suppose that a ball is thrown straight up from ground level with an initial velocity v0  and drag coefficient a. Write an equation in

terms of v0, g, and a for T, the time when the ball hits the ground.

A. -gT +  ln   = 0
B. -gT +   (1 - e-aT) = 0
C. -aT +   (1 - e-aT) = 0
D. -gT +   (1 - e-aT) = 0

Mathematics

Perform long division.

A. x2 + 5
B. x2 + 5 + 
C. x2 + 5x + 
D. x2 + 5x + 2 + 

Mathematics

Complete.1847 g =  kg

A. 0.01847 B. 0.1847 C. 1.847 D. 18.47

Mathematics

Evaluate using the correct order of operation.2× 

A.  
B.
C.
D.  

Mathematics