Compare the following ratios: (Use >, < or = sign in the place holders) 7) 2:3 ___ 4:1

8) 1:2 ___ 3:6

9) 3:5 ___ 2:4

10) 6:7 ___ 4:8

11) 5:1 ___ 7:9

12) 4:6 ___ 7:6

13) 1:8 ___ 4:11

14) 5:2 ___ 10:4

15) 4:3 ___ 2:4

16) 7:2 ___10:3

The revenue each season from tickets at the theme park is represented by t(c)=5x. the cost to pay the employees each season is represented by r(x)=(1.5)^x. examine the graph of the combined function for total profit and estimate the profit after four seasons

Aladder that is 20ft long is leaning against the side of a building. if the angle formed between the ladder and the ground is 75 degrees how far is the bottom of the from the base of the building?

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?