Solve the problem.In a complete graph with 12 vertices (A through L), the total number of Hamilton paths that start at vertex A and end at vertex L is

A. 10!.
B. 12!.
C. 11!.
D. 13!.
E. none of these


Answer: A

Mathematics

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Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.

A. 54xy10 B. 6xy4 C. 6xy10 D. 6x19y10

Mathematics

Solve the problem.The value of certain make and model of used car can depend on several factors. The table gives data for the values of three Chevy Caprice station wagons.The value V is measured in dollars, where A is the age of the car in years, and C is the condition of the car rated on a scale of 1 to 10 ( 10 is excellent condition ) .The variables are found to be related by the equation  Use the information given in the table to write a matrix equation which when solved will yield the values of a, b, and c. Then, using the fact that the inverse of the matrix 

src="https://sciemce.com/media/4/ppg__dsd0520191959__f1q141g3.jpg" style="vertical-align: -23.0px;" /> is , find c.

A. c = 200
B. c = 400
C. c = -200
D. c = -400

Mathematics

Find the square root. When necessary, round to nearest thousandth.

A. 28.284 B. 28.283 C. 28.274 D. 28.285

Mathematics

Solve.If fencing costs $8 per foot, find the total cost for fencing a rectangular garden  by 

A. $7,728 B. $1,040 C. $520 D. $2,080

Mathematics