A student is asked to find the derivative of y = x sin2 (x) with respect to variable x, given x, y > 0. They provide the following dy dx = sin2 (x) · x sin2 (x)−1 · cos2 (x) Is the student correct? If the student is correct, then explain how they used derivative rules correctly to find this derivative. If the student is incorrect, then give the correct answer and provide an explanation that you would use to correct the student’s thinking.

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

The total number of dental clinics total for the last 12 months was recorded