Mario had a 5 cups of smooth peanut butter in a jar the morning. at 10: 00 am. he used 1/2 of a cup for a snack. at lunchtime, he used 1 1/4 cups for sandwich. at 4: 00 pm, he spread 1/3 of a cup onto some celery for his sister. how much peanut butter did mario have at the end of the day?

Consider the following equation. 1/2x^3+x-7=-3sqrtx-1 approximate the solution to the equation using three iterations of successive approximation. use the graph below as a starting point. a. b. c. d.

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?

Scarlett stopped at a campground along the appalachian trail. the campground had a 12 acre area for tents, divided into 6 equal campsites. scarlett picked one of the sections to pitch her tent. which expression would give you the size of scarlett’s campsite? (more than one answer