Vera orders some prints of photos that she uploaded to her computer. she orders 3 of the 5 x 7 prints for $0.89 each, 12 of the 4 x 6 prints for $0.15 each and 1 of the 8 x 10 prints for $2.99. she also orders a photo album for $8.69. vera pays taxes that are 7% of the total purchase price. her shipping charges are based on the following table: amount of purchase standard shipping express shipping up to $20 free $3.50 $50 up to $100 $6.35 $8.20 $100 up to $200 $7.80 $11.60 $200 and over $10.50 $16.45 vera selects standard shipping and the company bills her credit card $20.78 for the total of the online purchase. determine if vera has been billed correctly for her purchase. a. vera has been billed correctly. b. vera has not been charged enough for her purchase. c. vera has been over charged by $1.13 for her purchase. d. vera has been over charged by $3.50 for her purchase.

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q? a.) sin (a -b) = sin a cos b – cos a sin b b.) cos (a -b) = cos a cos b – sin a sin b c.) cos (a -b) = cos a cosb + sin a sin b d.) sin (a + b) = sin a cos b + cos a sin b

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.

Solve this system of equations: y=x2-3x + 12 y=-2x+14 4. substitute the values of x, -1 and 2, into either origina equation to solve for the values of y. what are the solutions of the system of equations?