Lucas numbers satisfy the recurrence relation �! = � with �! = 2 , �! = 1. Is there
any relation between Lucas numbers and Fibonacci numbers? Solve the above recurrence relation

Solve 2^x=32 and rewrite this equation in a logarithmic form

Kayla has a $500 budget for the school party. she paid $150 for the decorations. food will cost $5.50 per student. what inequality represents the number of students, s, that can attend the party?

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters