a rectangular plot of land where outdoor concerts are held is about to be enclosed by a fence. how many feet of fence will be needed if the plot is 120 yards on one side and 280 on thr other, requires a 3 foot opening for entrances on two of the four sides

Which logarithmic equation is equivalent to the exponential equation below? e^a=55(you will receive 34 points)

Which of the following vectors are orthogonal to (2,1)? check all that apply

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.