Solve the absolute-value inequality.|x| ? 19
A. {x-19 ? x ? 19}, or [-19, 19]
B. {xx ? -19 or x ? 19}, or (-?, -19] ? [19, ?)
C. {xx ? -19}, or (-?, -19]
D. {xx ? 19}, or (-?, 19]
Answer: A
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A school board has determined that there should be 3 teachers for every 60 students. How many teachers are needed for an enrollment of 3,180 students?
A. 134 teachers B. 170 teachers C. 159 teachers D. 175 teachers E. 216 teachers
Solve.The land surface of the earth is 57,900,000 square miles. Of this, 19,200,000 square miles are forested. Using scientific notation, express the number of square miles that is not forested.
A. 38.7 × 106 square miles B. 3.87 × 106 square miles C. 3.87 × 108 square miles D. 3.87 × 107 square miles
Solve the problem.A heat engine is a device that converts thermal energy into other forms. The thermal efficiency, e, of a heat engine is defined by where Qh is the heat absorbed in one cycle and Qc, the heat released into a reservoir in one cycle, is a constant. Find
.
A. =
B. =
C. =
D. =
Solve the given trigonometric equation analytically (using identities when necessary for exact values when possible) for values of x for 0 ? x < 2?.csc x = 1 + cot x
A.
B. No solution
C. ,
D.