Answer:
Joint variation states that:
If z is directly proportional to x and inversely proportional to y,
i.e,
, 
then the equation is in the form:
where k is the constant of variation.
From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature
i.,e
, 
by definition of joint variation:
.....[1] where k is the constant of variation.
It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).
Substitute these given values in [1] to solve for k;

Simplify:

Divide by 200 both sides we have;

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.
To find the volume (V);
Now substitute the given data and value of k in [1] we have;

Therefore, the Volume of a gas is, 4 liters
In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:
[-1, 3).
<h3>How to write the interval of values in the graph using interval notation?</h3>
First, remember that the symbols ( and ) are used for ends that do not belong to the interval.
For example, if our interval is 1 < x < 2
1 and 2 do not belong to the solution interval, thus, the solution interval is (1, 2).
While [ and ] are used when the ends belong. For example, in:
1 ≤ x ≤ 2
The interval notation is [1, 2]
And in:
1 < x ≤ 2
(1, 2]
And so on.
On the number line, the notation is:
- Colored dot: the point belongs to the interval.
- White dot: the point does not belong to the interval.
In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:
[-1, 3).
If you want to learn more about interval notation.
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Well to find the values of the variables, you would have to use the Pythagorean Theorem. The Pythagorean Theorem states that a²+b²=c². A being one side of the triangle, b being the other side, and c being the hypotenuse. The hypotenuse is the slanted and the longest side of a right triangle. So let's find the the total amount of x and y. 5+7=12 Just plug in the numbers into the equation 12²+5²=c² C would equal 13. So we know that x+y=13. If we plug in 7 and 5 into the equation (solving for y) 7²+5²=c², C would equal 8.6. To find x just do 13-8.6 and we get 4.4. So we know that y=8.6 and x=4.4. Hope I helped!
Answer:
y= -2x-9
x would move left or right, and up and down is y
left or down are negative and up or right are positive
Step-by-step explanation:
how this helps if do mark brainllest pls! :)
Answer:
66.67
Step-by-step explanation:
20-12=8
8/12=0.6666667
0.6666667x100=66.67