Solve the system of equations by substitution. x + 7y = -23x + y = 34
A. (12, -2)
B. (7, 12)
C. (-2, 3)
D. (3, 7)
Answer: A
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Solve the problem.If a given set has thirteen elements, how many of its subsets have somewhere from four through eight elements?
A. 4,719 subsets B. 1,419 subsets C. 5,434 subsets D. 6,721 subsets
Write down all the subsets of the given set.{3, 5, 8, 9}
A. {3}, {5}, {8}, {9}, {3, 5}, {3, 8}, {3, 9}, {5, 8}, {5, 9}, {8, 9}, {3, 5, 8}, {3, 5, 9}, {3, 8, 9}, {5, 8, 9}, {3, 5, 8, 9} B. {3}, {5}, {8}, {9}, {3, 5}, {3, 8}, {3, 9}, {5, 8}, {5, 9}, {8, 9}, {3, 5, 8}, {3, 5, 9}, {3, 8, 9}, {5, 8, 9}, {3, 5, 8, 9}, ? C. {3}, {5}, {8}, {9}, {3, 5}, {3, 8}, {3, 9}, {5, 8}, {5, 9}, {8, 9}, {3, 5, 8}, {3, 5, 9}, {3, 8, 9}, {5, 8, 9}, ? D. {3}, {5}, {8}, {9}, {3, 5}, {3, 8}, {3, 9}, {5, 8}, {5, 9}, {3, 5, 8}, {3, 5, 9}, {3, 8, 9}, {5, 8, 9}, {3, 5, 8, 9}, ?
Find the value of the determinant.
A. 130 B. 80 C. -12 D. -90
Solve.An equation used in the study of Class C amplifiers is R = 
,where R is the internal resistance of the tube and ? is the angle that indicates the portion of the cycle during which the current is allowed to flow. Find the value of R when ? is 57°. Round to the thousandths place.
A. 5.839 B. 0.2714 C. 0.0556 D. 0.3464