Answer:
a.) 24
Step-by-step explanation:
a
Since the gas it is getting compressed with a change on temperature, we consider that the pressure is constant, and of course the number of mole is constant (same gas), therefore, from the ideal gas law
P
V
=
n
R
T
we can say:
V
T
=
constant
Therefore,
V
1
T
1
=
V
2
T
2
⇒
T
1
=
V
1
×
T
2
V
2
⇒
T
1
=
12
L
×
300
K
8
L
=
450
K
A=450k
Answer:

Step-by-step explanation:
![[2(\cos15+i15)^{4}]\\=2^{4}(\cos15+i\sin15)^{4}\\=16(\cos15+i\sin15)^{4}..........(1)](https://tex.z-dn.net/?f=%5B2%28%5Ccos15%2Bi15%29%5E%7B4%7D%5D%5C%5C%3D2%5E%7B4%7D%28%5Ccos15%2Bi%5Csin15%29%5E%7B4%7D%5C%5C%3D16%28%5Ccos15%2Bi%5Csin15%29%5E%7B4%7D..........%281%29)
<u>De Moivre's Formula :</u>

Now from eqn(1)
![[2(\cos15+i\sin15)]^{4}=16\times \frac{1+\sqrt{3}i}{2} =8+8\sqrt{3}i](https://tex.z-dn.net/?f=%5B2%28%5Ccos15%2Bi%5Csin15%29%5D%5E%7B4%7D%3D16%5Ctimes%20%5Cfrac%7B1%2B%5Csqrt%7B3%7Di%7D%7B2%7D%20%3D8%2B8%5Csqrt%7B3%7Di)
Answer:
govenrs
Step-by-step explanation:
18yearolds
Hello from MrBillDoesMath!
Answer:
6
Step-by-step explanation:
distance between points (x1,y1), (x2,y2) is
sqrt ( (x1-x2)^2 + (y1-y2)^2 ).
In our case this becomes
sqrt ( (-12 - (-12))^2 + (-8 - (-2))^2 ) ) = => as -12 - (-12) = 0, -8 - (-2) = -6
sqrt ( 0^2 + (-6)^2 ) =
sqrt(36) = 6
The answer makes sense as the line given in the Question is a vertical line. In this case, length = abs(difference of y values) = abs( ( -8) -(-2) ) = 6
Thank you,
MrB