Solve.Two times the reciprocal of a number equals 4 times the reciprocal of 5. Find the number.
A.
B. 3
C. 10
D.
Answer: D
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Solve the problem. Round your answer, if appropriate.Boyle's law states that if the temperature of a gas remains constant, then PV = c, where ,
, and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 13 in. 3/sec, at what rate is P increasing when P = 70 lb/in.2 and V = 60 in.3? (Do not round your answer.)
A. lb/in.2 per sec
B. lb/in.2 per sec
C. lb/in.2 per sec
D. lb/in.2 per sec
A fixed point of f is a value of x that satisfies the equation f(x) = x; it corresponds to a point at which the graph of f intersects the line y = x. Find all the fixed points of the function. Use preliminary analysis and graphing to determine good initial approximations. Round approximations to six decimal places.f(x) = x2 - 1
A. x ? -0.618034, 1.618034 B. x ? -0.118034, 1.118034 C. x ? -1.118034, 1.118034 D. x ? -1.618034, 2.618034
Let A = {1, 3, 5, 7}B = {5, 6, 7, 8}C = {5, 8}D = {2, 5, 8}U = {1, 2, 3, 4, 5, 6, 7, 8}.Determine whether the statement is true or false.A ? {7, 5, 3, 1}
A. False; the elements in A are in a different order. B. False; A has different elements than those listed. C. False; the elements in A are the same as those listed. D. True
Perform the conversion. Round to the nearest tenth when necessary.20 L to gal
A. 5.3 gal B. 9.0 gal C. 21.2 gal D. 4.7 gal