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Pergunta 1 Relatório
Pergunta 2 Relatório
Pergunta 3 Relatório
If s = (2 + 3t)(5t - 4), find \( \frac{dy}{dx} \) when t = \( \frac{4}{5} \) sec
Pergunta 4 Relatório
Pergunta 5 Relatório
Pergunta 6 Relatório
A student spent \( \frac{1}{5} \) of his allowances on books, \( \frac{1}{3} \) of the remainder on food and kept the rest for contingences. What fraction was kept?
Pergunta 7 Relatório
Pergunta 8 Relatório
Pergunta 9 Relatório
Find the value of x in the diagram.
x = 100 - 30
= 70o
Pergunta 10 Relatório
The histogram above represents the number of candidates that sat for Mathematics examination in a school. How many candidate scored more than 50 marks?
Pergunta 11 Relatório
Evaluate \( \int \sec^2 \theta \, d\theta \)
Pergunta 12 Relatório
In the figure above, TS//XY and XY = TY,
< TYZ = 94∘
n∘ = 180 - (94∘ + 34∘ )
= 180∘ - 128∘
= 52∘
Pergunta 13 Relatório
| No. of days | 1 | 2 | 3 | 4 | 5 | 6 |
| No. of students | 20 | \(2x\) | 60 | 40 | \(x\) | 50 |
The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the term
Pergunta 14 Relatório
Pergunta 15 Relatório
A binary operation \(plus\) defined on the set of integers is such that m \(plus\) n = n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0.
Detalhes da Resposta
Pergunta 16 Relatório
Simplify \(4\frac{3}{4} - 6\frac{1}{4}\)
Pergunta 17 Relatório
Pergunta 18 Relatório
The probability of a student passing any examination is \( \frac{2}{3} \). If the student takes three examinations, what is the probability that he will not pass any of them?
Pergunta 19 Relatório
Pergunta 20 Relatório
If \( p = \begin{pmatrix} x + 3 & x + 2 \\ x + 1 & x - 1 \end{pmatrix} \) evaluate x if \(|p| = -10\)
Pergunta 21 Relatório
Detalhes da Resposta
Pergunta 22 Relatório
| No. of days | 1 | 2 | 3 | 4 | 5 | 6 |
| No. of students | 20 | x | 50 | 40 | 2x | 60 |
The distribution above shows the number of days a group of 260 students were absents from school in a particular term. How many students were absent for at least four days in the term
| 4 | 5 | 6 |
| 40 | 2x | 60 |
Pergunta 23 Relatório
Find to infinity, the sum of the sequence \(1, \frac{9}{10}, \left(\frac{9}{10}\right)^2, \left(\frac{9}{10}\right)^3, \ldots\)
Pergunta 24 Relatório
Pergunta 25 Relatório
Pergunta 26 Relatório
The cumulative frequency curve above shoes the distribution of the scores of 50 students in an examination. Find the 36th percentile scores
Pergunta 27 Relatório
Evaluate \(\frac{81.81+99.44}{20.09+36.16}\) correct to 3 significant figures.
Pergunta 28 Relatório
I.S∩T∩W=S II. S∪T∪W=S
III. T∩W=S
If S⊂T⊂W, which of the above statements are true?
Pergunta 29 Relatório
Find the range of values of \(x\) for which \(3x - 7 \le 0\) and \(x + 5 > 0\)
Pergunta 30 Relatório
If \(y = 3 \cos 4x\), \(\frac{dy}{dx}\) equals
Pergunta 31 Relatório
i. \(S \cap T \cap W = S\)
ii. \(S \cup T \cup W = W\)
ii. \(T \cap W = S\)
If \(S \subset T \subset W\). Which of the above statements are true?
Pergunta 32 Relatório
Find the infinity, the sum of the sequence \(1, \frac{9}{10}, \left(\frac{9}{10}\right)^2, \left(\frac{9}{10}\right)^3, ...\)
Pergunta 33 Relatório
Pergunta 34 Relatório
Pergunta 35 Relatório
Pergunta 36 Relatório
If \(m * n = n-(m + 2)\) for any real numbers m and n, find the value of \(3 * (-5)\)
Pergunta 37 Relatório
Pergunta 38 Relatório
Pergunta 39 Relatório
Pergunta 40 Relatório
A regular polygon has \(150^\circ\) as the size of each interior angle. How many sides does it have?
Pergunta 41 Relatório
Pergunta 42 Relatório
Pergunta 43 Relatório
Simplify \( \frac{5+\sqrt{7}}{3+\sqrt{7}} \)
Pergunta 44 Relatório
| Marks | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| No. of students | 3 | 4 | 1 | 0 | 4 | 5 | 2 | 1 |
The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5.
Pergunta 45 Relatório
Pergunta 46 Relatório
Find the acute angle between the straight lines \(y = x\) and \(y = \sqrt{3x}\)
Pergunta 47 Relatório
Find the value of \( \sin 45^\circ - \cos 30^\circ \)
Pergunta 48 Relatório
If \(P = \begin{bmatrix} x+3 & x+2 \\ x+1 & x-1 \end{bmatrix}\) evaluate x if \(|P| = -10\)
Pergunta 49 Relatório
Pergunta 50 Relatório
A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is \(60^\circ\), find the width of the river.
We can solve this problem using trigonometry. Let's draw a diagram of the situation:
A /| / | / | h = 300 m / | ----------- x B
Where point A is the top of the cliff, point B is the unknown point on the opposite side of the river, and x is the width of the river.
We know that the angle of depression from A to B is 60 degrees. This means that the angle of elevation from B to A is also 60 degrees.
Using trigonometry, we can set up the following equation:
tan(60) = h / x
where h is the height of the cliff and x is the width of the river. We can solve for x:
x = h / tan(60) x = 300 / √3 x = 100√3 meters
Therefore, the width of the river is 100√3 meters. Answer is correct.
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