Solve the problem.The table shows the population of a certain city in various different years. Use regression to find values for a and b so that f(x) = axb models this data, where x represents the number of years since 1980 and f(x) is the population of the city in hundreds of thousands. Round your answers to 5 significant digits.

A. a ? 1.8506, b ? 0.51209
B. a ? 2.6352, b ? 0.47558
C. a ? 2.1375, b ? 0.44316
D. a ? 1.7025, b ? 0.53750


Answer: B

Mathematics

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A variable force of magnitude F(x) moves a body of mass m along the x-axis from x1 to x2. The net work done by the force in moving the body from x1 to x2 is  where v1 and v2 are the body's velocities at  x1 and x2. Knowing that the work done by the force equals the change in the body's kinetic energy, solve the problem.How many foot-pounds of work does it take to throw a baseball 60 mph? A baseball weighs 5 oz, or 0.3125 lb.

A. 1210 ft-lb B. 18 ft-lb C. 38 ft-lb D. 563 ft-lb

Mathematics

Add.4.805 + 8.587

A. 13.392 B. 13.492 C. 3.782 D. -3.782

Mathematics

Find the intercepts of the circle. Round to the nearest hundredth, when necessary.121x2 + 121y2 - 66x - 132y - 438 = 0

A. There are no intercepts. B. The two x-intercepts are x ? 2.19 and x ? -1.65, and the two y-intercepts are y ? 2.52 and y ? -1.43. C. The x-intercept is x ? 41.7, and the y-intercept is y ? 40.65. D. The two x-intercepts are x ? 4.12 and x ? -3.57, and the two y-intercepts are y ? 4.5 and y ? -3.41.

Mathematics

Provide an appropriate response.Let f(x) = 3x5 - 10x4 + 7x. Determine the intervals on which f is (a) concave up and (b) concave down. (c) Find the x-values of all inflection points.

What will be an ideal response?

Mathematics