Combine like terms. Then write the polynomial in descending order of powers.-4m8 + 9m8

A. 5m16
B. 40m
C. 5m8
D. Cannot be simplified


Answer: C

Mathematics

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Identify which graph matches the equation.f(x) = (x + 4)2 + 3AB?

A. Graph A B. Graph B

Mathematics

Solve the problem.The sales of typewriters have declined considerably in recent years because of the advent of computers. Assume that there were 24 million typewriters sold in 1980 and 3 million sold in 1990. In addition, assume the sales are decreasing according to the exponential decay model. Find the value k, and write an exponential function that describes the number of typewriters sold after time t, in years. (Round decimals to three places.)

A. k = 0.318; S(t) = 24e-0.318t, where S(t) is in millions and t is the number of years since 1980. B. k = 0.11; S(t) = 24e-0.11t, where S(t) is in millions and t is the number of years since 1980. C. k = -0.208; S(t) = 24e-0.208t, where S(t) is in millions and t is the number of years since 1980. D. k = 0.208; S(t) = 24e-0.208t, where S(t) is in millions and t is the number of years since 1980.

Mathematics

The distance d (in meters) of the bob of a pendulum of mass m (in kilograms) from its rest position at time t (in seconds) is given. The bob is released from the left of its rest position, which represents a negative direction.(a) Describe the motion of the object. Be sure to give the mass and damping factor.(b) What is the initial displacement of the bob? That is, what is the displacement at t = 0?(c) Graph the motion using a graphing utility(d) What is the displacement of the bob at the start of the second oscillation?(e) What happens to the displacement of the bob as time increases without bound?d = -10e-0.6t/40 cos 

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Mathematics

Solve the problem using the vector form v =  [(cos ?)i + (sin ?)j].A weight of 500 lb is supported by a frame made of two rods and hinged at points A, B, and C. Find the forces exerted by the two rods rounded to the nearest pound. 

A. Horizontal rod: 10-lb tension; other rod: 483 -lb compression B. Horizontal rod: 720 -lb tension; other rod: 518-lb compression C. Horizontal rod: 518-lb tension; other rod: 720-lb compression D. Horizontal rod: 483-lb tension; other rod: 695-lb compression

Mathematics