Can someone dedicated please answer these questions and take a brief moment to explain? Please show work, thanks a lot!!!!
1. Devon tosses a horseshoe at a stake 30 feet away. The horseshoe lands no more than 3 feet from the stake. (a) Write an absolute value inequality that represents the range of distances that the horseshoe travels. (b) Solve the inequality.
2. Suppose the altitude of a rising hot-air balloon is given by (^indicates to a power) h = 0.04 t^2 + 2t, where “t” is the time in seconds after the balloon leaves the ground. How long will it take for the balloon to reach an altitude of 200 feet? "h" is height.
Question #3. 3b[sqrt(27a^5b)] + 2a[sqrt(3a^3b^3)] simplify (rationalize denominator if needed) - sqrt means square root
4. 3/[sqrt(5) - 2] simplify (rationalize denominator if needed) - sqrt means square root
5. solve and check for extraneous roots sqrt(x + 4) = sqrt(x) - 2