The answer will be 0.000316 moles
D=16n is 16 dollars/ounce
The chart that says 1 under d and 4 under n is 1 dollar/4 ounce
n=4d is 1 dollar/4 ounce
The last chart is 4 dollars / 1 ounce
Answer:
n = 7
Step-by-step explanation:
The sum of the interior angles of a polygon is 9
. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?
The sum of the interior angles of a concave polygon can be found using the formula S = (n - 2)*180.
n= number of sides of the polygon
n-2 * 180 = the sum of the interior angles
9
= the sum of the interior angles
9
= (n-2) *180
x= 3+ n
9
=(n-2) *180
9 (9+6n+n^2) = (n-2) *180
81+54n+9n^2 = (n-2) *180
n = 7
Answer:
Step-by-step explanation:
we have
![y=5x-3](https://tex.z-dn.net/?f=y%3D5x-3)
we know that
If a set of ordered pairs represent possible inputs and outputs of the function
then
All ordered pairs of the set must be satisfy the function
<u>case A)</u> ![{(2, 5), (-3, -12), (-4, -18)}](https://tex.z-dn.net/?f=%7B%282%2C%205%29%2C%20%28-3%2C%20-12%29%2C%20%28-4%2C%20-18%29%7D)
Substitute the value of x and y of each point in the function
Point 1 ![(2, 5)](https://tex.z-dn.net/?f=%282%2C%205%29)
![5=5(2)-3](https://tex.z-dn.net/?f=5%3D5%282%29-3)
-------> is not true
The set of case A does not represent possible inputs and outputs of the function
<u>case B)</u>
Substitute the value of x and y of each point in the function
Point 1 ![(-1, -8)](https://tex.z-dn.net/?f=%28-1%2C%20-8%29)
![-8=5(-1)-3](https://tex.z-dn.net/?f=-8%3D5%28-1%29-3)
-------> is true
Point 2 ![(0, -3)](https://tex.z-dn.net/?f=%280%2C%20-3%29)
![-3=5(0)-3](https://tex.z-dn.net/?f=-3%3D5%280%29-3)
-------> is true
Point 3 ![(3, 12)](https://tex.z-dn.net/?f=%283%2C%2012%29)
![12=5(3)-3](https://tex.z-dn.net/?f=12%3D5%283%29-3)
-------> is true
The set of case B represents possible inputs and outputs of the function
<u>case C)</u> ![{(1, 4), (7, 25), (3, 10)}](https://tex.z-dn.net/?f=%7B%281%2C%204%29%2C%20%287%2C%2025%29%2C%20%283%2C%2010%29%7D)
Substitute the value of x and y of each point in the function
Point 1 ![(1,4)](https://tex.z-dn.net/?f=%281%2C4%29)
![4=5(1)-3](https://tex.z-dn.net/?f=4%3D5%281%29-3)
-------> is not true
The set of case C does not represent possible inputs and outputs of the function
<u>case D)</u> ![{(5, 20), (6, 12), (1, 9)}](https://tex.z-dn.net/?f=%7B%285%2C%2020%29%2C%20%286%2C%2012%29%2C%20%281%2C%209%29%7D)
Substitute the value of x and y of each point in the function
Point 1 ![(5,20)](https://tex.z-dn.net/?f=%285%2C20%29)
![20=5(5)-3](https://tex.z-dn.net/?f=20%3D5%285%29-3)
-------> is not true
The set of case D does not represent possible inputs and outputs of the function