Shelby bought a 2-ounce tube of blue paint. she used 2/3 ounce to paint the water, 3/5 ounce to paint the sky, and some to paint a flag. after that, she has 2/15 ounce left. how much paint did shelby use to paint her flag?

The volume of a cube-shaped shipping container is 13,824 cubic inches. find the edge length of the shipping container.

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?

1.what effect does replacing x with x−4 have on the graph for the function f(x) ? f(x)=|x−6|+2 the graph is shifted 4 units up. the graph is shifted 4 units down. the graph is shifted 4 units left. the graph is shifted 4 units right. 2.what are the coordinates of the hole in the graph of the function f(x) ? f(x)=x^2+3x−28/x+7 3.which graph represents the function?