Solve the problem.The height of a triangle measures 3 cm less than four times the base of the triangle. Its area is   Find the lengths of the base and the height.

A. Base: 4 cm; height: 13 cm
B. Base: 4.5 cm; height: 15 cm
C. Base: 5 cm; height: 17 cm
D. Base: 6 cm; height: 21 cm

Answer: C

Mathematics

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Solve the problem.The van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) =  - , where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the derivative of the function with respect to each variable.

A. PV = ; PT =  - 
B. PV = -  + ; PT = 
C. PV =  - ; PT = 
D. PV =  - ; PT = 

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Mathematics

Find the apportionment asked for.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 in the table. Find the apportionment for state D using Webster's method.

A. 26 B. 24 C. 23 D. 25

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Mathematics

If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth. Variables represent any real number.

A. 1.73 B. 1.44 C. 2.44 D. -9

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Mathematics

Find the indicated term using the given information.a14 = -64, a19 = -89; a1

A. -5 B. -9 C. -4 D. 1

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Mathematics