Please help me asap fluorescent light flickers as it is about to blow and the light cycle can be approximated by a sinsoidal curve. a model for one fluorecent light is y=35+15sin120pi(x-0.003), where x is the amount of time in minutes.
how long does it take for the light to flicker five times

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.