Write the following as a rate in lowest terms.$88 for 11 bushes

A.  
B.  
C.
D.  


Answer: A

Mathematics

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Calculate the derivative of the function. Then find the value of the derivative as specified.f(x) = x2 + 7x - 2; f '(0)

A. f '(x) = x + 7; f '(0) = 7 B. f '(x) = 2x + 7; f '(0) = 7   C. f '(x) = 2x - 2; f '(0) = - 2 D. f '(x) = 2x; f '(0) = 0

Mathematics

Solve the problem. If necessary, round to the nearest tenth.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin ?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.6 kilogram and ? = 30°?

A. 5.8 N B. 5.1 N C. 2.7 N D. 2.9 N

Mathematics

Find the location of the center, vertices, and foci for the hyperbola described by the equation. -  = 1

A. Center: (2, 1); Vertices: (2, -1) and (3, 5); Foci: (2, 2 - ) and (3, 2 + )
B. Center: (2, 1); Vertices: (2, 1 - ) and (2, 1 + ); Foci: (2, -2) and (2, 4)
C. Center: (-2, -1); Vertices: (-2, -4) and (-2, 2); Foci: (-2, -1 - ) and (-2, -1 + )
D. Center: (2, 1); Vertices: (2, -2) and (2, 4); Foci: (2, 1 - ) and (2, 1 + )

Mathematics

Find C and a so that f(x) = Cax satisfies the given conditions.f(1) = 6 and for each unit increase in x, the output is multiplied by .

A. C = 15, a = 
B. C = , a = 6
C. C = , a = 15
D. C = 6, a = 

Mathematics