Felicia needs to write a story problem that relates to the order in which the numbers -6 1/2 and −10 are represented on a number line. she writes the following:

"during a recent football game, our team lost yards on two consecutive downs. we lost 6 1/2 yards on the first down. during the second down, our quarterback was sacked for an additional 10-yard loss. on the number line, i represented this situation by first locating -6 1/2. i located the point by moving 6 1/2 units to the left of zero. then, i graphed the second point by moving 10 units to the left of 0."

determine if you agree or disagree with the representation. then, defend your stance by citing specific details in your writing.

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.

When you dilate a figure with a scale factor of 1/2, what will the dilated figure look like?                                                                                           a: the dilated figure will have side lengths that are half the length of the original side lengths.                                                                          b: the angles in the dilated figure will be half the measure of the original figure.                                                                                c: the dilated figure will have side lengths twice the length of the original.

Enter the amplitude of the function. f(x)=3cosx