The pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.
<h3>What is a proportional relationship?</h3>
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
The pressure, P, of a gas varies inversely with its volume, V.
P ∝ 1/V
P = k/V
k is the constant.
If P = 126 Pa and V = 52 L
126 = k/52
k = 6552
P = 6552/V
Plug V = 168 L
P = 6552/168 = 39 Pa
Thus, the pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.
Learn more about the proportional here:
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<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>
Answer:
- x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
- x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer
Step-by-step explanation:
Add √(82) -3sin(x) to both sides to get ...
2sin(x) = √82 -√72
Now, divide by 2 and find the arcsine:
sin(x) = (√82 -√72)/2
x = arcsin((√82 -√72)/2)
Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.
___
In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.
Answer:
x=-8 y=6
Step-by-step explanation:
Add the two equations together. This cancels the x and gets us y=6
Then substitute y in more the first equation which gets us -8
That's not an equation. It's just an expression that stands for a number.
Of course, we can't find the number until we know what 'm' and 'n' are.
The largest "common factor" is 3mn .
So in factored form, the expression is 3mn (m + 4n) .
