Simplify: \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)

Convert 89\(_{10}\) to a number in base two.

The nth term of a sequence is given by (-1)\(^{n-2}\) x 2\(^{n+1}\). Find the sum of the second and third terms.

S = {1, 2, 3, 4, 5, 6}, T = {2,4,5,7} and R = {1,4, 5}, and (S∩T) ∪ R

Simplify: \(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)

Factorize the expression 2s\(^2\) - 3st - 2t\(^2\).

Solve the inequality: 3m + 3 > 9

A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement

Simplify: \(\frac{4^{-\frac{1}{2}} \times 16^{\frac{3}{4}}}{4^{\frac{1}{2}}}\)