The volume of the air mattress in liters is 385.43 liters approx.
<h3>What is ideal gas law?</h3>
For an ideal gas(or a gas that behaves sufficiently like an ideal gas), we have the following relation:
![\rm PV = nRT](https://tex.z-dn.net/?f=%5Crm%20PV%20%3D%20nRT)
where, the symbol denotes:
- P = Pressure of the gas
- V = volume of the gas
- T = temperature of the gas
- n = count of moles of the gas
- R = universal gas constant = 8314.46261815324
![L.Pa.K^{-1}.mol^{-1}](https://tex.z-dn.net/?f=L.Pa.K%5E%7B-1%7D.mol%5E%7B-1%7D)
For the given case, the gas in the air mattress has following properties:
P = 3.5 kilopascals =3500 pascals
T =295 K
n = 0.55 moles
V = volume of gas in air mattress = volume of mattress (to evaluate).
Thus, using the ideal gas law, we get:
![V = \dfrac{nRT}{P} = \dfrac{0.55 \times 8314.46261815324 \times 295}{3500} \approx 385.43 \: \rm liters](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7BnRT%7D%7BP%7D%20%3D%20%5Cdfrac%7B0.55%20%5Ctimes%208314.46261815324%20%5Ctimes%20295%7D%7B3500%7D%20%5Capprox%20385.43%20%5C%3A%20%5Crm%20liters)
Thus, the volume of the air mattress in liters is 385.43 liters approx.
Learn more about ideal gas law here:
brainly.com/question/4147359
Your profit is less than the cost of production. Thus, you actually lost 14 dollars. Your profits = -14
Answer:
20 grams
Step-by-step explanation:
I did this, but I'm not sure if I'm 100% correct. Here is my answer though:
m=F/a
m=11.2/520
m=0.02kg
0.02kg=20 grams
Y - y1 = m(x - x1)
slope(m) = -2
(3,1)....x1 = 3 and y1 = 1
now we just sub
y - 1 = -2(x - 3) <== point slope form
Given:
Consider the given function is
To find:
The vertex , axis of symmetry, and transformations of the parent function?
Solution:
We have,
...(i)
It is an absolute function.
The vertex form of an absolute function is
...(ii)
where, a is a constant, (h,k) is vertex and x=h is axis of symmetry.
From (i) and (ii), we get
So,
Parent function of an absolute function is
Since, a=8 therefore, parent function vertically stretched by factor 8.
, so the function shifts unit right.
k=-3<0, so the function shifts 3 units down.
Therefore, the vertex is and Axis of symmetry is . The parent function Therefore, the vertex is and Axis of symmetry is . The parent function vertically stretched by factor 8, shifts unit right and 3 units down.