(5x + 45 to the 6th power.)4 I woke up with my nail like this- WHAT HAPPENED IN MY SLEEP

What is the value of r of the geometric series?

How to do this , and can some one explain

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.