The radius of the earth is roughly 4000 miles, and an object located x miles from thecenter of the earth weighs w(x) lb, wherew(x) =ax if 0 < x ≤ 4000b/x^2 if x > 4000and a and b are positive constants.(i) Show that w(x) is continuous on (0; [infinity]) if and only ifa =b/(4000^3)(ii) Find any horizontal asymptotes and sketch the graph of w(x).

Football player weighed 170 2/3 pounds in may. during the summer he gained 25 5/12 pounds. during the first week of fall practice he lost 10 1/4 pounds and during the second week he lost another 3 1/2 ponds. how much does he weigh at this point? a.182 1/3ib b.181 1/2ib c.182 5/12ib d.183 2/3ib

Samson is going shopping for sugar and butter to make three different kinds of cookies: lemon bars, peanut butter cookies, and sugar cookies. the recipe for lemon bars calls for 2 cups of flour, 2 cups of sugar, and 1 stick of butter. the peanut butter cookie recipe calls for 2 cups of flour, 4 cup of sugar and 2 stick of butter. the sugar cookie recipe calls for 1 cup of flour, 2 cups of sugar, and 2 sticks of butter. sampson has 13 cups of flour at home, and he buys 12 cups (6 pounds) of sugar and 10 sticks of butter. how many batches of each type of cookie can he make? samson can make batches of lemon bars, batches of peanut butter cookies, and batches of 09 cookies submit reset

What is the length and width of a 84.5 square foot rug? will mark