From the observation deck of a skyscraper, Jamal measures a 51 ∘
∘
angle of depression to a ship in the harbor below. If the observation deck is 1123 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? will mark the

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)

The table shows values for functions f(x) and g(x) . x f(x)=−4x−3 g(x)=−3x+1+2 −3 9 179 −2 5 53 −1 1 1 0 −3 −1 1 −7 −7 2 −11 −25 3 −15 −79 what is the solution to f(x)=g(x) ? select each correct answer.