Evaluate the integral to six decimal places.
0.031414
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Simplify.-(y - 3z)
A. -y + 3z B. y - 3z C. -y - 3z D. y + 3z
Write the unit cost, rounded to the nearest cent.If 14 notebooks cost $40.51, then one notebook costs $2.8936.
A. $40.51 B. $2.89 C. $2.79 D. $2.99
Solve.Wind resistance or atmospheric drag tends to slow down moving objects. Atmospheric drag varies jointly as an object's surface area A and velocity v. If a car traveling at a speed of 40 mph with a surface area of 31 ft2 experiences a drag of 186 N (Newtons), how fast must a car with 41 ft2 of surface area travel in order to experience a drag force of 455.1 N?
A. 74 mph B. 76 mph C. 71 mph D. 79 mph
Solve the problem.Suppose that demographic studies show that each year about 8% of a city's population moves to the suburbs (and 92% stays in the city), while 4% of the suburban population moves to the city (and 96% remains in the suburbs). In the year 2000, 64.1% of the population of the region lived in the city and 35.9% lived in the suburbs. What percentage of the population of the region would eventually live in the city if the migration probabilities were to remain constant over many years? For simplicity, ignore other influences on the population such as births, deaths, and migration into and out of the region.
A. 33.3% B. 66.7% C. 41.7% D. 50%