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Egypt
The rate of change of the function \( f: f(x)=\frac{1}{x} \) at \( x=\sqrt{5} \) equals \( \begin{array}{llll}\text { (a) } 5 & \text { (b) } \frac{1}{5} & \text { (c) }-5 & \text { (d) }-\frac{1}{5}\end{array} \)
Calculus Mar 01, 2025
0) The sum of two digit odd numbers equals \( \begin{array}{llll}\text { (a) } 2475 & \text { (b) } 2530 & \text { (c) } 4905 & \text { (d) } 5049\end{array} \)
Arithmetic Mar 01, 2025
( 4 marks) random sai nonprofit organizations showed that online fundraising increased in the past year. Based on a a standard of 56 non-profit organizations, the mean one-time gift donation in the past year was \( \$ 80 \), with ion of \( \$ 17 \). ren results. 2. [2 marks] If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than \( \$ 75 \).
Statistics Mar 01, 2025
[19-151] The IUPAC name of \( \mathrm{CH}_{3}-\mathrm{CH}_{2}-\stackrel{\mathrm{C}_{3} \mathrm{C}_{7}}{\mathrm{C}}-\mathrm{CH}_{2}-\mathrm{CH}_{3} \) is ........... a) 2-ethylhexane b) 3-ethylpentane c) 3-propylpentane d) 3-ethylhexane
Chemistry Feb 28, 2025
20 The diagram shows a rectangular playground of width \( x \) metres and length \( 3 x \) metres. The playground is extended, by adding 10 metres to its width and 20 metres to its length, to form a larger rectangular playground. The area of the larger rectangular playground is double the area of the original playground. (a) Show that \( 3 x^{2}-50 x-200=0 \) accurately drawn
Algebra Feb 28, 2025
(T3) Olivia used \( \frac{1}{4} \) of the amount of flour she had to bake muffins. If she used 200 g of flour, how much flour did she originally have?
Algebra Feb 28, 2025
17) If the direction angles of the straight line are \( \boldsymbol{\theta}_{x}, \boldsymbol{\theta}_{y}, \boldsymbol{\theta}_{z} \), then \( \cos 2 \theta_{x}+\cos 2 \theta_{y}+\cos 2 \theta_{z}= \qquad \) a) -2 b) -1 c) 1 d) 2
Trigonometry Feb 28, 2025
16) If \( A, B \) and \( C \) are three point in space, where \( A(3,4,8), B(1,2,7) \) and \( C(3,0,6) \), then \( \qquad \) a) \( \mathbf{2 A B}=\boldsymbol{B C} \) b) \( A B=2 B C \) c) \( A B=B C \) d) \( \mathbf{3 A B}=B C \)
Geometry Feb 28, 2025
15) The intersection point of the straight lines \( \overrightarrow{r_{1}}=(1,4,2)+t(3,2,2) \) with the plane \( (3,2,2) . \overrightarrow{r_{2}}=-2 \) is \( \qquad \) a) \( (-1,0,1) \) b) \( (1,4,2) \) c) \( (-2,2,0) \) d) \( (3,2,2) \)
Geometry Feb 28, 2025
Mathematics Sec -3 Solid Geo. 15) The intersection point of the straight lines. \( \overrightarrow{r_{1}}=(1,4,2)+t(3,2,2) \) with the plane \( (3,2,2) . \overrightarrow{r_{2}}=-2 \) is \( \qquad \) a) \( (-1,0,1) \) b) \( (1,4,2) \) c) \( (-2,2,0) \) d) \( (3,2,2) \) 16) If \( A, B \) and \( C \) are three point in space, where \( A(3,4,8), B(1,2,7) \) and \( C(3,0,6) \), then \( \qquad \) a) \( \mathbf{2 A B}=\boldsymbol{B C} \) b) \( A B=2 B C \) c) \( A B=B C \) d) \( \mathbf{3 A B}=B C \) 17) If the direction angles of the straight line are \( \boldsymbol{\theta}_{x}, \boldsymbol{\theta}_{\boldsymbol{y}}, \boldsymbol{\theta}_{z} \), then \( \cos 2 \theta_{x}+\cos 2 \theta_{y}+\cos 2 \theta_{z}= \) \( \qquad \) a) -2 b) -1 C) 1 d) 2 18) If \( \overrightarrow{\boldsymbol{A}}=\widehat{\boldsymbol{\imath}}+\widehat{\boldsymbol{\jmath}}-\widehat{\boldsymbol{k}}, \overrightarrow{\boldsymbol{B}}=-\widehat{\boldsymbol{\imath}}+\widehat{\boldsymbol{\jmath}}+\widehat{\boldsymbol{k}}, \overrightarrow{\boldsymbol{C}}=-\hat{\boldsymbol{\imath}}+\mathbf{2} \widehat{\boldsymbol{\jmath}}-\widehat{\boldsymbol{k}} \), then the unit vector perpendicular to each of \( \overrightarrow{\boldsymbol{A}}+\overrightarrow{\boldsymbol{B}}, \overrightarrow{\boldsymbol{B}}+\overrightarrow{\boldsymbol{C}} \) from the following is a) \( \widehat{\boldsymbol{\imath}} \) b) \( \widehat{\boldsymbol{k}} \) c) \( \hat{\jmath} \) d) \( \frac{\hat{\imath}+\hat{\jmath}+2 \hat{k}}{\sqrt{3}} \)
Geometry Feb 28, 2025
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