Hi,
This is using 'n', so there would be a lot of possibilities, but I would form a circle with the group of people, then each person would shake the person to their right, and then to their right, one time. This method would not vary because a circle can contain even or odd number of people.
Hope this helps!
Answer:
A. The football does not reach a height of 15ft
Step-by-step explanation:
Given
![h(t) = -16t^2 + 30t](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%2030t)
Required
Determine which of the options is true
The option illustrates the height reached by the ball.
To solve this, we make use of maximum of a function
For a function f(x)
Such that:
:
![f(\frac{-b}{2a}) = maximum/minimum](https://tex.z-dn.net/?f=f%28%5Cfrac%7B-b%7D%7B2a%7D%29%20%3D%20maximum%2Fminimum)
i.e we first solve for ![\frac{-b}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D)
Then substitute
for x in ![f(x) = ax^2 + bx + c](https://tex.z-dn.net/?f=f%28x%29%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
In our case:
First we need to solve
Then substitute
for t in ![h(t) = -16t^2 + 30t](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%2030t)
By comparison:
![b = 30](https://tex.z-dn.net/?f=b%20%3D%2030)
![c = -16](https://tex.z-dn.net/?f=c%20%3D%20-16)
![\frac{-b}{2a} = \frac{-30}{2 * -16}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D%20%3D%20%5Cfrac%7B-30%7D%7B2%20%2A%20-16%7D)
![\frac{-b}{2a} = \frac{-30}{-32}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D%20%3D%20%5Cfrac%7B-30%7D%7B-32%7D)
![\frac{-b}{2a} = \frac{30}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D%20%3D%20%5Cfrac%7B30%7D%7B32%7D)
![\frac{-b}{2a} = \frac{15}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D%20%3D%20%5Cfrac%7B15%7D%7B16%7D)
Substitute
for t in ![h(t) = -16t^2 + 30t](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%2030t)
![h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})](https://tex.z-dn.net/?f=h%28%5Cfrac%7B15%7D%7B16%7D%29%20%3D%20-16%28%5Cfrac%7B15%7D%7B16%7D%29%5E2%20%2B%2030%28%5Cfrac%7B15%7D%7B16%7D%29)
![h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}](https://tex.z-dn.net/?f=h%28%5Cfrac%7B15%7D%7B16%7D%29%20%3D%20-16%28%5Cfrac%7B225%7D%7B256%7D%29%20%2B%20%5Cfrac%7B450%7D%7B16%7D)
![h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}](https://tex.z-dn.net/?f=h%28%5Cfrac%7B15%7D%7B16%7D%29%20%3D%20-%28%5Cfrac%7B225%7D%7B16%7D%29%20%2B%20%5Cfrac%7B450%7D%7B16%7D)
![h(\frac{15}{16}) = \frac{-225 + 450}{16}](https://tex.z-dn.net/?f=h%28%5Cfrac%7B15%7D%7B16%7D%29%20%3D%20%5Cfrac%7B-225%20%2B%20450%7D%7B16%7D)
![h(\frac{15}{16}) = \frac{225}{16}](https://tex.z-dn.net/?f=h%28%5Cfrac%7B15%7D%7B16%7D%29%20%3D%20%5Cfrac%7B225%7D%7B16%7D)
![h(\frac{15}{16}) = 14.0625](https://tex.z-dn.net/?f=h%28%5Cfrac%7B15%7D%7B16%7D%29%20%3D%2014.0625)
This implies that the maximum height reached is 14.0625ft.
So, the option that answers the question is A because ![14.0625 < 15](https://tex.z-dn.net/?f=14.0625%20%3C%2015)
Answer: 7
Step-by-step explanation:
We found the factors and prime factorization of 28 and 35. The biggest common factor number is the GCF number. So the greatest common factor 28 and 35 is 7.
Hope this helps :)
Answer:
option-C
terminal
Step-by-step explanation:
We know that
reference angle is between terminal side and x-axis
so, the other side will be terminal position
so, we can write as
The positive acute angle formed by the <u>terminal</u> side of an angle in standard position and the x-axis is called a reference angle.
So,
option-C
terminal
Answer:
there you go
Step-by-step explanation: