Question

name:
54 the trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial speed of 65 meters per second can be modeled by the parabola ( f(x) = x - 0.0013x^2 ), where the x - axis is the ground. find the height of the highest point of the trajectory and the horizontal distance the potato travels before hitting the ground.
graph of the parabola with x - axis labeled horizontal distance (m) and y - axis labeled height (m)
a. height: 109 m, distance: 435 m
c. height: 118 m, distance: 421 m
b. height: 121 m, distance: 418 m
d. height: 102 m, distance: 409 m
55 40 candidates apply for a unique job. the job has both a height requirement and a weight requirement. the following information is known about the candidates:
21 candidates meet the height requirement,
17 candidates meet the weight requirement;
8 candidates meet both the weight and height requirements.
how many candidates meet only the height requirement?
a. 8
c. 13
b. 9
d. 21

Explanation:

Step1: Identify the formula for only height

To find the number of candidates who meet only the height requirement, we use the formula: Only height = Total height - Both.

Step2: Substitute the values

Total height candidates = 21, Both height and weight = 8. So, Only height = \( 21 - 8 = 13 \).

Answer:

c. 13