Solve the problem.An office contains 1000 ft3 of air initially free of carbon monoxide. Starting at time = 0, cigarette smoke containing 4% carbon monoxide is blown into the room at the rate of 0.5 ft3/min. A ceiling fan keeps the air in the room well circulated and the air leaves the room at the same rate of 0.5ft3/min. Find the time when the concentration of carbon monoxide reaches 0.01%.
A. 7.01 min
B. 5.01 min
C. 6.01 min
D. 8.01 min
Answer: B
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The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds).s = 8 sin t - cos tFind the body's velocity at time t = ?/4 sec.
A. 
m/sec
B. 
m/sec
C. - 
m/sec
D. - 
m/sec
Solve the problem.The frequency setting for a garage door opener is determined by the positions of ten switches, each of which can be set to a "+" or "-" position. In how many ways can the switches be set?
A. 1144 ways B. 1024 ways C. 100 ways D. 59,049 ways
Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree.sin2 x - 8 sin x - 4 = 0
A. {28.2°, 151.8°} B. No solution C. {208.2°, 331.8°} D. {28.2°, 151.8°, 208.2°, 331.8°}
Solve the problem.The number of students receiving a diploma from a local high school for the years 2000 through 2035 can be projected by the function y = -0.275x2 + 6.05x + 260, where x is the number of years after 2000.a. Is the vertex of the graph of this function a maximum or a minimum?b. Find the input and output at the vertex. Round to the nearest tenth when appropriate.
A. a. minimum b. (15, 293.3) B. a. maximum b. (11, 393.3) C. a. maximum b. (11, 293.3) D. a. minimum b. (11, 293.3)