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 = 

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

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

Mathematics

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

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

Mathematics