C. 64
Rewrite the logarithm:
8=x^.5
Solve by raising both sides of the equation to the power of the inverse (in this case, the inverse of .5, which is 2):
8^2=x^(.5*2)
64=x
8
Suppose f(x) = ----------
sqrt(x)
8
What if we let x = 16 (just an example)? We'd get f(16) = ------------- = 2.
sqrt(16)
What if we let x = g(x) = 2x+4?
We'd get the following:
8
f(g(x)) = -------------- = y
sqrt(2x+4)
So...the correct answer is the fourth one.
The correct answer is D because there is one area that is a cluster (bundle of dots in one area) and one outlier (away from all the other points; irrelevant).
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:
V α 1/P
To change it to an equality, we introduce a proportionality constant, k. We do as follows:
V = k/P
So, to determine what is asked, we need to first calculate for the value of k.
V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280
Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3
