Correct Answer: B. invent analytical engine

Correct Answer: B. {21, 25, 27, 33, 35}

Explanation

P = { 20, 25, 30, 35}, Q = {21, 24, 27, 30, 33}, R = {21, 23, 25, 27, 29, 31, 33, 35}

(P?Q)∩R = {20, 21, 24, 25, 27, 30, 33, 35} ∩ {21, 23, 25, 27, 29, 31, 33, 35}

= {21, 25, 27, 33, 35}

Correct Answer: C. \(\frac{16}{3}\)

Explanation

\(\int_{0}^{2} (8x - 4x^{2}) \mathrm {d} x = (\frac{8x^{1 + 1}}{2} - \frac{4x^{2+1}}{3})|_{0}^{2}\)

= \((4x^{2} - \frac{4x^{3}}{3}) |_{0}^{2}\)

= \((4(2^2) - \frac{4(2^3)}{3})\)

= \(16 - \frac{32}{3} = \frac{16}{3}\)

Correct Answer: A. euphemism

Correct Answer: D. i, ii and iv only

Correct Answer: D. sulphur(iv)oxide

Explanation

In the majority of power plants, sulfur appears due to coal burning which is used to generate electricity.

Correct Answer: D. Shona

Explanation

(a) \(\sin x = \frac{5}{13}\)

Using SOHCAHTOA, then Opp = 5 and Hyp = 13

\(13^{2} = 5^{2} + Adj^{2}\)

\(169 = 25 + Adj^{2}\)

\(Adj = \sqrt{169 - 25} = \sqrt{144} = 12\)

\(\cos x = \frac{12}{13}\)

\(\tan x = \frac{5}{12}\)

\(\frac{\cos x - 2\sin x}{2\tan x} = \frac{\frac{12}{13} - 2(\frac{5}{13})}{2(\frac{5}{12})}\)

= \(\frac{\frac{2}{13}}{\frac{5}{6}}\)

= \(\frac{12}{65}\)

(b)

Taking \(\Delta LPB\),

Using Pythagoras theorem, \(/BP/^{2} = /BL/^{2} - /LP/^{2}\)

\(i.e. /BP/ = \sqrt{12^{2} - 9.6^{2}}\)

= \(\sqrt{144 - 92.16} = \sqrt{51.84} = 7.2m\)

\(/PA/ = 10m - 7.2m = 2.8m\)

\(/LA/^{2} = x^{2}\)

\(x^{2} = /LP/^{2} + /PA/^{2}\)

\(x^{2} = 9.6^{2} + 2.8^{2}\)

= \(92.16 + 7.84\)

\(x^{2} = 100 \implies x = 10m\)

(ii) \(\tan \theta_{y} = \frac{9.6}{2.8} = 3.4286\)

\(\theta_{y} = \tan^{-1} (3.4286) \approxeq 74°\)

Correct Answer: C) love for His disciples

Explanation

In the book of Luke, there is a story about the Last Supper that Jesus had with his disciples. During this meal, Jesus revealed something important to his disciples. The question is asking what Jesus revealed to them.

Looking at the options given, Option A says Jesus revealed his resurrection, Option B says he revealed his imminent sufferings, Option C says he revealed his love for his disciples, and Option D says he revealed his ascension.

Out of these options, the correct answer is Option C, which says Jesus revealed his love for his disciples. This shows that Jesus cared deeply for his followers and wanted them to know how much he loved them.

It is important to study the stories of Jesus and his teachings to better understand his message of love, forgiveness, and compassion.

Correct Answer: A. anyone can become a buyer or a seller

Explanation

This means that the firms can enter or quit the industry as they wish