If p varies inversely as the cube of q and q varies direc...
If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?
p varies directly as r3
p varies inversely as r6
p varies inversely as 6√P
p varies directly as r6
Correct answer is C
P ∝ 1/q3
P = K/q3
q3 = K/P
q = K/p1/3
But q ∝ r2
q = Kr2
K/p1/3 = Kr2
r2 = K/p1/3 x 1/K
r2 = 1/p1/3
r = (1/p1/3)2
r = 1/p1/6
r ∝ 1/p1/6
∴ r varies inversely as 6√P
Given that \(\theta\) is an acute angle and sin \(\theta\) = \(\frac{m}{n}\), find cos \(\theta\)...
On a map, 1cm represent 5km. Find the area on the map that represents 100km2....
Arrange the following numbers in descending orders of magnitude: 22three, 34five, 21six...
Evaluate: \(\frac{0.42 \div 2.5}{0.5 \times 2.95}\), leaving the answer in the standard form....
From the equation whose roots are x = \(\frac{1}{2}\) and -\(\frac{2}{3}\)...
In the diagram, QPS = SPR, PR = 9cm. PQ = 4cm and QS = 3cm, find SR. ...
Solve \(\frac{y+2}{4}\) - \(\frac{y-1}{3}\) > 1...
The locus of the points which is equidistant from the line PQ forms a ...