Solve the problem.An experimental model for a suspension bridge is built in the shape of a parabolic arch. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers are both 16 inches tall and stand 80 inches apart. Find the vertical distance from the roadway to the cable at a point on the road 12 inches from the lowest point of the cable.

A. 5.76 in.
B. 1.64 in.
C. 1.44 in.
D. 1.24 in.


Answer: C

Mathematics

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Make the following conversion in the metric system.2.54 kilograms to grams

A. 0.00254 g B. 2540 g C. 254 g D. 0.0254 g

Mathematics

Solve.Suppose economists use as a model of a country's economy the function N(x) = 0.6898x + 5.9243,where N represents the consumption of products in billions of dollars and x represents disposable income in billions of dollars.  a. Identify the dependent and independent variables.b.  Evaluate N(8.67)and explain what it represents.

A. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(8.67) = $3.8 billion; According to the model, the number of billions of dollars for the consumption of products is $3.8 billion. B. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(8.67) = $11.9 billion; According to the model, the number of billions of dollars for the consumption of products is $11.9 billion. C. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(8.67) = $4.0 billion; According to the model, the number of billions of dollars for the consumption of products is $4.0 billion. D. a. The dependent variable is the number of billions of dollars, N, and the independent variable is the disposable income in billions of dollars.  b. N(8.67) = $5.2 billion; According to the model, the number of billions of dollars for the consumption of products is $5.2 billion.

Mathematics

Use the quadratic formula to solve the quadratic equation.5p2 - 3p = 3

A.
B.
C.
D.

Mathematics

Use an integer to express the number.On a sunny day, the water temperature in the swimming pool rises 7 degrees.

A. -7 B. 7

Mathematics