Simplify \((\frac{3}{x} + \frac{15}{2y}) \div \frac{6}{xy}\)

Factorize 3a\(^2\) - 11a + 6

Simplify: \((\frac{1}{4})^{-1\frac{1}{2}}\)

For what value of y is the expression \(\frac{y + 2}{y^{2} - 3y - 10}\) undefined?

Solve the equation: 3a + 10 = a\(^2\)

Find the number whose logarithm to base 10 is 2.6025

Simplify: log6 + log2 - log12

The population of a village is 5846. Express this number to three significant figures

Express 0.0462 in standard form