Answer:
The required relation is,
=
Step-by-step explanation:
We know that for a certain amount of dry gas when the pressure is kept constant it's volume V and temperature T is related by the function,
V = cT -----------------------(1) [where "c" is a constant]
So, in that case rate of change of volume(V) with respect to time (t),
= ![\frac {dV}{dt}](https://tex.z-dn.net/?f=%5Cfrac%20%7BdV%7D%7Bdt%7D)
will be equal to ,
![c{\frac{dT}{dt}}](https://tex.z-dn.net/?f=c%7B%5Cfrac%7BdT%7D%7Bdt%7D%7D)
where
is equal to rate of change of temperature (T) with respect to time (t) and c is the constant stated before.
So, the required relation is,
=
Answer:
4 .For 32 it goes into 4 and for 12 it goes into 4
Step-by-step explanation:
Answer:
Mary = 24
Chau = 15
David = 48
Step-by-step explanation:
The formula is
Mary + Chau + David = 87
And we know that
Chau = Mary - 9
David = Mary * 2
So when we fill this in
Mary + Mary - 9 + Mary * 2 = 87
4Mary - 9 = 87
4Mary = 96
Mary = 24
Chau = Mary - 9 = 15
David = Mary * 2 = 48
Answer:
4.1 sec
Step-by-step explanation:
-9.8t^2 +38.2t + 6.5 = 0
t = ![\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}](https://tex.z-dn.net/?f=%5Cfrac%7B-38.2%20%2B-%5Csqrt%7B38.2%5E2%7B%20-%204%28-9.8%29%286.5%29%7D%20%7D%20%7D%7B2%289.8%7D)
= ![\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}](https://tex.z-dn.net/?f=%5Cfrac%7B-38.2%20%2B-%20%5Csqrt%7B1459.24%20%2B%20254.8%7D%20%7D%7B-19.6%7D)
= ![\frac{-38.2 +- \sqrt{1714.04} }{-19.6}](https://tex.z-dn.net/?f=%5Cfrac%7B-38.2%20%2B-%20%5Csqrt%7B1714.04%7D%20%7D%7B-19.6%7D)
= ![\frac{-38.2 +- 41.4}{-19.6}](https://tex.z-dn.net/?f=%5Cfrac%7B-38.2%20%2B-%2041.4%7D%7B-19.6%7D)
= ![\frac{-79.6}{-19.6}](https://tex.z-dn.net/?f=%5Cfrac%7B-79.6%7D%7B-19.6%7D)
= 4.1
-24 is the answer for your problem