Helen is merging images from her two favorite movies so that the characters from the different movies appear to be dueling with each other. The editing program she is using has a virtual protractor, which tells Helen that the character in the first picture is holding her sword at a 43 angle and that the character in the second picture is holding his sword at a 107 angle. In the merged image that Helen creates, what will the angle between the characters’ swords be?

Solve the inequality. graph the solution. 6q< −18 the solution is .

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)

Which of these numbers of simulations of an event would be most likely to produce results that are closest to those predicted by probability theory? 15, 20, 5, 10