Answer:
The final pressure of the gas when its temperature returns to its initial value Pa.
Step-by-step explanation:
Given : An ideal gas is confined within a closed cylinder at a pressure of Pa by a piston. The piston moves until the volume of the gas is reduced to one-ninth of the initial volume.
To find : What is the final pressure of the gas when its temperature returns to its initial value?
Solution :
Since the temperature is constant
.
The relation between P and V is given by,
....(1)
The piston moves until the volume of the gas is reduced to one-ninth of the initial volume i.e.
or
Substitute in equation (1),
The final pressure of the gas when its temperature returns to its initial value Pa.
When you're trying to find something in the simplest form, you have to find a common denominator. The best way to do this is to find the factors.
Factors of 3= 1, 3
Factors of 28= 1,2,4,7,14,28
In this case, the lowest factor is one, which is what they are currently in.
Therefore, 3/28 is currently in its simplest form
ANSWER: X= 6
EXPLANATION: We know that AM = 6x and AM is half of AB so if we multiply 6x times 2 we get 12x. Which mean 12x= AB
We also know that AB= 10x + 12 so if both 10x + 12 and 12x equal AB we have to set them equal to each other to find out what x is
10x + 12= 12x
First subtract 12 on both sides then it should look like 10x= 12x - 12
Now subtract 12x from 10x and it should look like -2x= -12
Lastly divide everything by -2 and you get x= 6
hope this helps!!!! And I didn’t know if you needed the explanation but I just wrote it anyways
Answer:
B. y=3(x-1)2 + 3
Step-by-step explanation:
Given that
vertex of the parabola is at the point (1,3)
let's verify, if the option B is the correct equation of the parabola.
comparing to standard equationof parabola (standard quadratic equation), we get
to find the vertex we use formula for x- coordinate as
to find y put x=1 in the Eq1, we get
vertex =(x,y) = (1, 3)
thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified
The equation of the line is