Provide an appropriate response.If a ? 0, 
is called the reciprocal of a. Use this definition to express the reciprocal of the following expression in the form 
Fill in the blank(s) with the appropriate word(s).
(5/29) + (2/29)j
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Solve the problem.A runner is competing in an 8-mile race. As the runner passes each miles marker (M), a steward records the time elapsed in minutes (t) since the beginning of the race, as shown in the table. What is the runner's average speed over the first 3 miles? Round your answer to four decimal places.
A. 0.0862 miles/min B. 0.0649 miles/min C. 14.3266 miles/min D. 0.0698 miles/min
Solve the problem.A small computing center has found that the number of jobs submitted per day to its computers has a mean of 66 jobs and a standard deviation of 5. Where do we expect the number of jobs per day to fall most of the time (95.4%)?
A. between 61 and 71 jobs per day B. between 51 and 81 jobs per day C. between 56 and 81 jobs per day D. between 56 and 76 jobs per day
x? = x(0.04 ? 0.0008x ? 0.004y) , y? = y (0.1? 0.005x ? 0.002y)
Let x and y represent the populations (in thousands) of two species that share a habitat. For each system of equations, find and assess the stability of the equilibrium points. Remember that, for real populations, both x0 and y0 must be nonnegative for ( x0, y0) to be an equilibrium point.
Factor the trinomial completely.40m2 + 73mn + 30n2
A. (8m + 6n)(5m + 5n) B. (8m - 5n)(5m - 6n) C. (8m + 5n)(5m + 6n) D. (8m + 5n2)(5m + 6)