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).

What 2 forces allow things to fall ‍♀️‍♀️

Kayla and alberto are selling fruit for a school fundraiser. customers can buy small boxes of grapefruit and large boxes of grapefruit. kayla sold 3 small boxes of grapefruit and 1 large box of grapefruit for a total of $65. alberto sold 1 small box of grapefruit and 1 large box of grapefruit for a total of $55. what is the cost each of one small box of grapefruit and one large box of grapefruit?

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b.you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c.you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d.you spend $5 plus $10 per week until you have less than $45.