Solve the problem by using a nonlinear system.In 1975,  and  had the same population. The population of  continued to increase steadily, while the rate of population growth of  (although initially less than that of ) eventually

overtook the growth rate of City #2. The populations of two cities are modeled by the following equations:  , where  corresponds to the year 1975. In what year after 1975 did the cities have the same population?



A. 1978

B. 1980

C. 1979

D. 1981


Answer: B

Mathematics

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Solve the problem.How many seconds after the switch in an RL circuit is closed will it take the current i to reach  of its steady state value? Express answer in terms of R and L and round coefficient to the nearest hundredth.

A. 1.39 L/R seconds B. 0.29 L/R seconds C. 0.49 L/R seconds D. 1.59 L/R seconds

Mathematics

The bearing of a line segment is the acute angle that the line segment makes with a north- south line. If the bearing of PQ is N 70° E and the bearing of PR is S 32° W, what is the measure of the obtuse angle; ?QPR?

What will be an ideal response?

Mathematics

Convert the equation given in rectangular form into polar form.x = 3

A. r = 3
B. r = 
C. r = 
D. cos ? = 3

Mathematics

Graph the parabola whose equation is given. Find the x-intercepts, the y-intercept, and the vertex.y = x2 + 2x - 3

A. x-intercepts: -1 and 3;
y-intercept: 3;
vertex: (1, - 4)

B. x-intercepts: -1 and 3;
y-intercept: -3;
vertex: (1, - 4)

C. x-intercepts: -3 and 1;
y-intercept: -3;
vertex: (- 1, - 4)

D. x-intercepts: 3 and 1;
y-intercept: -3;
vertex: (- 1, - 4)

Mathematics