Write an equation to describe the variation. Use k for the constant of proportionality.w varies directly as b

A. w = 
B. w = kb
C. b = 
D. b = kw


Answer: B

Mathematics

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Solve the problem.The position (in centimeters) of an object oscillating up and down at the end of a spring is given by  at time t (in seconds). The value of A is the amplitude of the motion, k is a measure of the stiffness of the spring, and m is the mass of the object. How fast is the object moving when it is moving fastest?

A.  cm/sec
B. A cm/sec
C. A cm/sec
D. A cm/sec

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Identify the property illustrated by the statement.9 + 0 = 9

A. Associative B. Commutative C. Distributive D. Identity E. Inverse

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Solve the problem.A merchant has coffee worth $30 a pound that she wishes to mix with 20 pounds of coffee worth  a pound to get a mixture that can be sold for  a pound. How many pounds of the  coffee should be used?

A. 15 pounds B. 5 pounds C. 30 pounds D. 10 pounds

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Use De Moivre's theorem to evaluate the expression. Write the result in standard form.(1 + i)20

A. -1024 B. 1024 C. 1024i D. -1024i

Mathematics