Solve the problem.The accompanying tables represent a function f that converts seconds to hours and a function g that converts hours to days.
Express (f -1?g -1)(x) symbolically.
A. (f -1?g -1)(x) = 
B. (f -1?g -1)(x) = 86,400x
C. (f -1?g -1)(x) = 86,400x2
D. (f -1?g -1)(x) = 
Answer: B
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Solve the problem.A 1,000 gallon tank is filled with pure water. A salt solution with a concentration of 11 g/gal flows into the tank at a rate of 8 gal/min. The thoroughly mixed solution is drained from the tank at a rate of 8 gal/min.(a) Write an initial value problem for the mass of the salt.(b) Solve the initial value problem.
A. (a) m'(t) = -0.008m + 88, m(0) = 0 (b) m = -11,000e-0.008t + e-0.008 B. (a) m'(t) = -0.008m + 11,000, m(0) = 1,000 (b) m = 11,000e-0.008t + 88 C. (a) m'(t) = 0.008m - 88, m(0) = 11 (b) m = -88e0.008t + 88 D. (a) m'(t) = -0.008m + 88, m(0) = 0 (b) m = -11,000e-0.008t + 11,000
Solve.Find which is the better buy (lower cost per ounce) by finding each unit price rounded to three decimal places if necessary. Assume that different sizes of the same brand are being compared. Cream Rinse: $2.84 for 18 ounces $2.40 for 16 ounces
A. $2.84 for 18 ounces B. $2.40 for 16 ounces C. Both cost the same per ounce.
Given that p and q each represents a simple statement, write the indicated compound statement in its symbolic form.p: The outside humidity is high.q: The basement dehumidifier is running.r: The basement is getting moldy.The outside humidity is high and the basement dehumidifier is running, or the basement is getting moldy.
A. p ? q ? r B. (p ? q) ? ~ r C. p ? (q ? r) D. (p ? q) ? r
Solve the problem.Sumi Kato's savings account has a balance of $3994. After 16 years what will the amount of interest be at 2.5% APR compounded annually?
A. $1924.12 B. $6390.40 C. $1935.12 D. $1941.12