A man in a tower spots three hot air balloons flying at the same altitude. Balloon A is 5 miles east and 8 miles south of the tower. Balloon B is 7 miles west and 10 miles north of the tower. If Balloon Cis located four-ninths the distance from Balloon A to Balloon B, find the location of Balloon C relative to the tower.

F(x)= 1/x-4, g(x)=4x+1/x a. use composition to prove whether or not the functions are inverses of each other. b. express the domain of the compositions using interval notation.

Planning for the possibility that your home might get struck by lighting and catch on fire is part of a plan for ?

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.