Solve the problem.The student population of a small school has been increasing as shown in the following table.Take 1900 as year zero, and determine the linear or quadratic function that best fits the data.

A. f(x) = 5x - 93.2
B. f(x) = 0.16x2 - 17.5x + 106
C. f(x) = 0.1x2 - 10x + 440
D. f(x) = 0.27x2 - 29.1x - 410


Answer: C

Mathematics

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Determine whether the specified paradox occurs.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown below for the first and sixth years.Does the population paradox occur using Hamilton's method of apportionment?

A. Yes B. No

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Solve the problem.A sealed-beam headlight is in the shape of a paraboloid of revolution. The bulb, which is placed at the focus, is 3 centimeters from the vertex. If the depth is to be 6 centimeters, what is the diameter of the headlight at its opening?

Fill in the blank(s) with the appropriate word(s).

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Factor the polynomial as the difference of two squares or state that it is irreducible.36x4 - 49

A. (6x2 + 7)2 B. (6x2 + 7)(6x2 - 7) C. (6x2 - 7)2 D. (36x2 + 1)(x2 - 49)

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Use the Half-angle Formulas to find the exact value of the trigonometric function. cos 165°

A. - 
B.
C. - 
D.

Mathematics