Solve the lp problem. if no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. hint [see example 1.] (enter empty if the region is empty. enter unbounded if the function is unbounded.) maximize p = x − 2y subject to x + 4y ≤ 9 x − 5y ≤ 0 6x − 3y ≥ 0 x ≥ 0, y ≥ 0.

Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven? 2,801 19,531 19,607 97.655

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.

Abicycle training wheel has a radius of 3 inches. the bicycle wheel has a radius of 10 inches.approximately how much smaller, in square inches and rounded to the nearest hundredth, is the area of the training wheel than the area of the regular wheel? *