2\(\frac{1}{5}\)
1
\(\frac{5}{11}\)
\(\frac{11}{43}\)
Correct answer is C
\(\frac{x^{\frac{1}{2}} - y^{\frac{1}{3}}}{y - x^{\frac{2}{3}}}\)
substitute x = 64 and y = 27
\(\frac{64^{\frac{1}{2}} - 27^{\frac{1}{3}}}{27 - 64^{\frac{2}{3}}} = \frac{\sqrt{64} - 3\sqrt{27}}{27 - (3\sqrt{64})^2}\)
= \(\frac{8 - 3}{27 - 16}\)
= \(\frac{5}{11}\)
If y varies directly as the square root of x and y = 3 when x&nbs...
A ladder 9m long leans against a vertical wall, making an angle of 64° with the horizontal ...
Simplify \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)...
If P = \(\begin{pmatrix} 2 & -3 \\ 1 & 1 \end{pmatrix}\) , what is P\(^-1\)...
Evaluate \(\frac{21}{9}\) to 3 significant figures...
Make q the subject of the relation t = √(pq/r - r\(^2\)q)...
In how many ways can the letters LEADER be arranged? ...
Find a two-digit number such that three times the tens digit is 2 less than twice the units dig...