Arectangular piece of sheet metal has a length that is 88 in. less than twice the width. a square piece 44 in. on a side is cut from each corner. the sides are then turned up to form an uncovered box of volume 968968 in. cubed. find the length and width of the original piece of metal.

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?