Gina started hiking down a mountain trail at the same time that Melissa started hiking up the trail. A coordinate grid showing Mountain Trail Hike with Hours Spent Hiking on the horizontal, t, axis and Elevation in thousands of feet on the vertical, h, axis.
Melissa's elevation is represented by the equation h = 2 + t, and Gina's elevation is represented by h = 9.5 – 1.5t, where t represents the number of hours they have been hiking.

What point represents the time, in hours, since they started hiking and the elevation where Melissa and Gina meet on the trail?

(1, 8)
(2, 4)
(3, 5)
(4, 6)

The figure shows the front side of a metal desk in the shape of a trapezoid. what is the area of this trapezoid? 10 ft²16 ft²32 ft²61 ft²

Solve 2 - 3 cos x = 5 + 3 cos x for 0° ≤ x ≤ 180° a. 150° b. 30° c. 60° d. 120°

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?