Answer:
0.125 seconds.
Step-by-step explanation:
We have been given that the height of a ball above the ground as a function of time is given by the function , where h is the height of the ball in feet and t is the time in seconds.
We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.
To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.
Using formula , we will find the x-coordinate of vertex of parabola as:
Therefore, the ball will be at a maximum height after 0.125 seconds.
30 of the $3 tickets were sold
70 of the $2 tickets were sold.
(3*30) + (2*70) = 230
Answer:
<em>The probability is 0.89 or 89%</em>
Step-by-step explanation:
<u>Probability</u>
There are n=27 students in a certain Algebra 2 class. 18 out of them play basketball and 16 of them play baseball.
We also know 3 students play neither sport. This leaves 27-3=24 students playing sports.
The probability that a randomly chosen student plays basketball or baseball is:
Simplifying:
The probability is 0.89 or 89%
Answer:
Choice D
Step-by-step explanation:
38/4 =9.5
Therefore, this number is between 9 and 10
Note:
38/4 = 9 remainder 2
Hence, the quotient is 9 which is a whole number
Answer:
a = 9
Step-by-step explanation:
2(a + 7) = 5a - 13
We want to bring a to one side, I will choose to bring it to the right
First, expand the bracket by multiplying 2 with a + 7
2a + 14 = 5a - 13
Bring the -13 to the left by adding 13 to both sides
2a + 14 + 13 = 5a - 13 + 13
Simplify
2a + 27 = 5a
Bring the 2a to the right by subtracting 2a from both sides
2a - 2a + 27 = 5a - 2a
Simplify
27 = 5a - 2a
27 = 3a
Bring the 3 to the left by dividing both sides by 3
27÷3 = a
Simplify
a = 9