The graph of a limacon curve is given. without using your graphing calculator, determine which equation is correct for the graph. a circular graph with an inner loop on the bottom [-5, 5] by [-5, 5] r = 2 + 2 sin θ r = 3 + sin θ r = 1 + 3 cos θ r = 1 + 3 sin θ

Simplify. show your work. ( 6x-2 ) ^2 ( 0.5x )^4

There were 816 people at a concert when a band started to play. after each song, only half the people stayed to hear the next song. how many people were left at the concert after x songs? write a function to represent this scenario.

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?