A ball is thrown into the air. The path of the ball is represented by the equation h(t)= -t^2+8t. How long is the ball in the ai
1 answer:
Answer:
<em>The ball is 8 seconds in the air.</em>
Step-by-step explanation:
<u>Equations</u>
The height of a ball thrown in the air is given by the equation:
We assume the time is expressed in seconds.
The ball will be in the air while its height is positive. When its height is zero, it means the ball could be at launch time or returning to the ground level.
Setting h(t)=0:
Factoring:
There are two possible solutions:
t=0, t=8 sec
The first solution corresponds to the moment the ball is being thrown, the second solution corresponds to the moment the ball is returning to the ground, thus:
The ball is 8 seconds in the air.
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Answer:
2 students study none of the subjects.
Step-by-step explanation:
Consider the attached venn diagram. First, we place that 1 student studies the three subjects. Then, we notice that 3 students study math and science, then 2 students study math and science only, since we have 1 that studies the three subjects. In the same fashion, we have that 3 students study Math and computer programming only (since they are 4 in total). Note that since 7 students study math, and we already have 6 students in our count in the math subject this implies that 1 student studies only math (the total number of students inside the math circle must add to 7).
We also have that 4 students study science and computer programming only. Which implies that we must have 3 students that study science only (10 students that study science in total) and 2 students study computer programming (for a total of 10 students). The total number of students that study none is the total number of students (18) minus the amount of students that is inside the circles (16) which is 2.
