Solve the problem.A tunnel is in the shape of a parabola. The maximum height is  and it is 14 m wide at the base. What is the vertical clearance 6 m from the edge of the tunnel?A = 38 mB = 14 m

A. 36.4 m
B. 37.2 m
C. 0.8 m
D. 1.6 m


Answer: B

Mathematics

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Solve the problem.The function A = A0e-0.01155x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 500 pounds of the material are placed in the vault, how much time will need to pass for only 140 pounds to remain?

A. 220 years B. 120 years C. 110 years D. 115 years

Mathematics

Solve the problem.The formula E = 1000(100 - T) + 580(100 - T)2 is used to approximate the elevation (in meters) above sea level at which water boils at a temperature of T (in degrees Celsius). Find the rate of change of E with respect to T for a temperature of 99°C.

A. -59,580 m/°C B. -2160 m/°C C. -1160 m/°C D. 2160 m/°C

Mathematics

Solve the problem.The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches, according to the formula  What rainfall produces the maximum number of mosquitoes?

A. 4.5 in. B. 81 in. C. 9 in. D. 0 in.

Mathematics

Solve the system by elimination.

What will be an ideal response?

Mathematics