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In the diagram above, PQ//RS. The size of the angle marked x is?
A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is?
The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.
Solve the quadratic inequalities x\(^2\) - 5x + 6 ≥ 0
Find the range of values of x which satisfy the inequalities 4x - 7 \(\leq\) 3x and 3x - 4 \(\leq\) 4x
If p varies inversely as the square of q and p = 8 when q = 4, find q when p = 32
If x - 3 is directly proportional to the square of y and x = 5 when y =2, find x when y = 6.
Factorize completely; (4x+3y)\(^2\) - (3x-2y)\(^2\)
If 2x\(^2\) - kx - 12 is divisible by x-4, Find the value of k.
Make Q the subject of formula when \(L=\frac{4}{3}M\sqrt{PQ}\)
A book seller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books. How many customers has he altogether?
If X = {n\(^2\) + 1:n = 0,2,3} and Y = {n+1:n=2,3,5}, find X∩Y.
If \(\frac{1+\sqrt{2}}{1-\sqrt{2}}\) is expressed in the form of x+y√2 find the values of x and y
If log\(_{x^{\frac{1}{2}}}\)64 = 3, find the value of x
simplify \(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\)
The cost of kerosene per liter increased from N60 to N85. What is the percentage rate of increase?
calculate the simple interest on N7,500 for 8 years at 5% per annum.
Express 123456 to 3 significant figures
Evaluate \(\frac{\left(\frac{3}{8}\div\frac{1}{2}+\frac{1}{2}\right)}{\left(\frac{1}{8}\times\frac{2}{3}+\frac{1}{3}\right)}\)