Light rays that “bounce off ” a surface are reflected by the surface. If the surface is partially transparent, some of the light rays are bent or refracted as they pass from the air through the material. The angles of reflection θ1 and of refraction θ2 in the diagram at the right are related by the equation sin θ1 = n sin θ2. If θ1 = 60° and n = √3, find the measure of θ2

The diameter of a circular chip is doubled to use in a new board game. the area of the new chip will be

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Combine like terms to make a simpler expression 3z+z