Fill in the blank with the correct inequality symbol, using the rules for producing equivalent inequalities.If -2x > -8, then x  4.

A. ?
B. <
C. ?
D. >


Answer: B

Mathematics

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Write each expression in factored form as an algebraic expression of a single trigonometric function.

A. sin 2 x + 1 B. - cos x C. sin x + 1 D. sin x - 1

Mathematics

Use a calculator to evaluate the expression. Round your answer to three decimal places

A. 0.864 B. -2.328 C. 1.587 D. 0.700

Mathematics

Find all cube roots of the complex number. Leave answers in trigonometric form.2 + 2i

A.  cis 20°,  cis 140°,  cis 260°
B.  cis 20°,  cis 140°,  cis 260°
C.  cis 30°,  cis 150°,  cis 270°
D.  cis 20°,  cis 140°,  cis 260°

Mathematics

Solve the problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 35 staff members and needs at least 20 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?

A. 8 counselors and 12 aides B. 13 counselors and 16 aides C. 13 counselors and 17 aides D. 19 counselors and 23 aides

Mathematics