Solve the problem.The formula v =  can be used to estimate the maximum safe velocity v, in miles per hour, at which a car can travel along a curved road with a radius of curvature r, in feet. To the nearest whole number, find the maximum safe speed for a curve in a road with a radius of curvature of 300 feet.

A. 43 mph
B. 17 mph
C. 11 mph
D. 27 mph


Answer: D

Mathematics

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Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by x = y2 and the line x = 1, with density ?(x) = y2

A.  =  = 0
B.  = 0,  = 
C.  =  = 0
D.  =  = 0

Mathematics

Use a Venn diagram to decide if the statement is true or false.A ? (B ? C)' = (A ? B') ? (A ? C') 

A. True B. False

Mathematics

Find the perimeter of the figure.Find the perimeter of a triangle with sides measuring 2, 5, and 3 meters.

A. 34 meters
B. 19 + 15 meters
C. 19 + 15 meters
D. 19 + 15 meters

Mathematics

A simple economy consists of two industries: agriculture and manufacturing. The production of 1 unit of agricultural products requires the consumption of 0.4 unit of agricultural products and 0.2 unit of manufactured goods. The production of 1 unit of manufactured products requires the consumption of 0.3 unit of agricultural products and 0.3 unit of manufactured goods.

Find the value of the goods consumed in the internal process of production needed to satisfy a consumer demand for $150 million worth of agricultural products and $150 million worth of manufactured products. Round answers to two decimal places, if necessary. $__________ million worth of agricultural goods $__________ million worth of manufactured products.

Mathematics