Michael has five different stocks that he watches on a daily basis. The table shows the change in each stock price in dollars at the end of a trading day. Change in Daily Stock Prices (Dollars)

Stock A
Stock B
Stock C
Stock D
Stock E
–1.5
2.9
Negative one-half
3 and three-fourths
4.6

A number line going from negative 6 to positive 6 in increments of 1.

What is the correct order of the rational numbers in the table from least to greatest? Use the number line to help you.
–1.5, 2.9, Negative one-half, 3 and three-fourths, 4.6
Negative one-half, –1.5, 2.9, 3 and three-fourths, 4.6
–1.5, Negative one-half, 2.9, 3 and three-fourths, 4.6
4.6, 3 and three-fourths, 2.9, Negative one-half, –1.5

Which statement best explains why ben uses the width hi to create the arc at j from point k

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.

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. 1^2 + 4^2 + 7^2 + + (3n - 2)^2 = [n(6n^2-3n-1)/2]