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W is directly proportional to U. If W = 5 when U = 3, find U when W = 2/7
Which of the following equations represent the graph above?
A polynomial in x whose roots are 4/3 and -3/5 is?
If \(p=\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t?
I.S∩T∩W=S II. S ∪ T ∪ W = W
III. T ∩ W = S
If S⊂T⊂W, which of the above statements are true?
If x = {n\(^2\)+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5},
Y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}, find x \(\cap\) y.
Simplify \(\frac{5+\sqrt{7}}{3+\sqrt{7}}\)
If log\(_{10}\)2 = 0.3010 and log\(_{10}\)7 = 0.8451, evaluate log\(_{10}\)280
A student spent 1/5 of his allowance on books, 1/2 of remainder on food and kept the rest for contingencies. What fraction was kept?
A man bought a second-hand photocopying machine for N34,000. He serviced it at a cost of N2,000 and then sold it at a profit of 15%. What was the selling price?
Evaluate \(\frac{81.81+99.44}{20.09+36.16}\) correct to 3 significant figures.
Simplify \(7\frac{1}{12}-4\frac{3}{4}+2\frac{1}{2}\)
If 55\(_x\) + 52\(_x\) = 77\(_{10}\) find X
A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20o. How far is the car from the bottom of the tower to the nearest metre?
Calculate the distance between points L(-1, -6) and M(-3, -5)
\(\begin{pmatrix} -2 & 1 \\ 2 & 3 \end{pmatrix}\) \(\begin{pmatrix}p & q \\ r & s\end{pmatrix}\) = \(\begin{pmatrix} 1 & 0 \\0 & 1 \end{pmatrix}\). What is the value of r?
Find the values of x and y respectively if
\(\begin{pmatrix} 1 & 0 \\ -1 & -1\\ 2 & 2 \end{pmatrix}\) + \(\begin{pmatrix} x & 1 \\ -1 & 0\\ y & -2 \end{pmatrix}\) = \(\begin{pmatrix} -2 & 1 \\ -2 & -1\\ -3 & 0 \end{pmatrix}\)
The result of rolling a fair die 150 times is as summarized in the table above. What is the probability of obtaining a 5?
The probability of picking a letter T from the word OBSTRUCTION is?
Find the number of ways of selecting 6 out of 10 subjects for an examination