If X₁₀ = 1214₅, find X

Evaluate $\frac{{{(0.5625)}^{2}}-{{(0.4375)}^{2}}}{0.04}$ correct to 3 significant figures

The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum of money in the ratio of their ages, Musa get N600 and Lawal N800. How is old is Lawal?

If${{\log }_{10}}2=x,$express ${{\log }_{10}}12.5$in terms of x

Given P = {1, 3, 5, 7, 9, 11} and Q ={2, 4, 6, 8,10, 12}. Determine the relationship between P and Q

Make l  the subject of the formula $d=\sqrt{\frac{42w}{5l}}$

The graph above is represented by

The solution of the quadratic inequality is $({{x}^{2}}+x-12)\ge 0$is

The n^th term of the sequence $\tfrac{3}{2},3,7,16,35,74,-,-,-$ is

A binary operation $\oplus $ on real numbers is defined by $x\oplus y=xy+x+y$for any two real numbers x and y . The value of $(-\tfrac{3}{4})\oplus 6$ is

$\left( \begin{matrix}   3 & -2  \\   -7 & 5  \\\end{matrix} \right)+2\left( \begin{matrix}   -2 & 4  \\   3 & -1  \\\end{matrix} \right)$

If the lines $2y-kx+2=0$and $y+x-\tfrac{k}{2}=0$intersect at (1, – 2). Find the value of k

In the parallelogram PQRS above, find angle SQR

Calculate the length of an arc of a circle of diameter 14cm which subtends an angle of 90^o at the centre of the circle

Find the locus of the points equidistant from two straight line lines $y-5=0$ and $y-3=0$

What is the value of K, if the mid – point of the line joining $(1-k,-4)$and $(2,k+1)$is $(-k,k)$

Find the value of $\frac{\tan {{60}^{o}}-\tan {{30}^{o}}}{\tan {{60}^{o}}+\tan {{30}^{o}}}$

If $y=x\cos x$find $\frac{dy}{dx}$

Find the value of x for which the function $f(x)=2{{x}^{3}}-{{x}^{2}}-4x+4$has a maximum value