Solve the problem.The formula v =  models the safe maximum speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature, r, in feet. A highway crew measures the radius of curvature at an exit ramp as 160 feet. What is the maximum safe speed?

A. 25 mph
B. 16 mph
C. 17 mph
D. 20 mph


Answer: D

Mathematics

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Consider the logistic equation. Find the equilibrium solutions. A detailed direction field is not needed. Assume  and P'(t) = 0.2P - 0.001P2

A. P = 200 B. P = 0 and P = 200 C. P = 0 and P = 400 D. P = 0 and P = 240

Mathematics

Solve the problem.Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's position at time t.v =  sin , s(?2) = 2

A. s = -2 cos  + 8.2134
B. s = 2 cos  + 4
C. s = -2 cos  + 4
D. s = -2 cos  + 3.3073

Mathematics

Solve the problem.The rate of water usage for a business, in gallons per hour, is given by  where t is the number of hours since midnight. Find the average rate of water usage over the interval 

A. 0.37 gallons per hour B. 4.37 gallons per hour C. 3.78 gallons per hour D. 3.63 gallons per hour

Mathematics

Find the focus and directrix of the parabola.y = 10x2

A. , x = - 
B. , x = - 
C. , y = 
D. , y = - 

Mathematics