Correct Answer: D. 254°

Explanation

< YXS = 74° (alternate angles, N\(_1\) S\(_1\) // N\(_2\) S\(_2\))

N\(_2\) E\(_2\) S\(_2\) = 180°

\(\therefore\) Bearing of Y from X = 180° + 74°

= 254°

Correct Answer: D. multiple stores

Correct Answer: A. is/novel

Correct Answer: D. in love

Correct Answer: B. inelastic

Explanation

High taxes should be imposed on goods whose demand is inelastic. Inelastic demand is when the buyer's demand does not change as much as the price changes. This means that no matter how high the prices may increase as a result of high taxes or other factors, people will still be willing to buy the goods.

Correct Answer: B) input

Explanation

A computer keyboard is a type of input device. Input devices are used to enter data and commands into a computer. Other examples of input devices include a mouse, touchpad, and scanner.

It is important to note that while a keyboard is an input device, not all input devices are keyboards. For example, a microphone can also be an input device for a computer if it's used to input sound.

In summary, the correct answer to this question is Option B: input. The computer keyboard is an input device used to input data and commands into a computer.

Correct Answer: D. current assets less current liabilities

Explanation

If d = deceleration, then retarding force = \(md\).

This is also the force down the plane \(mg \sin \theta\)

\(\therefore md = mg\sin \theta \implies d = g \sin \theta\)

= \(10 \sin 30° = 10 \times \frac{1}{2} = 5 ms^{-2}\)

(i) \(v^{2} = u^{2} + 2as\)

At the highest point, v = 0 ms\(^{-1}\).

\(0^{2} = u^{2} - 2(5)(15) \)

\(u^{2} = 150 \implies u = \sqrt{150} = 12.247 ms^{-1}\)

(ii) \(v = u - dt\)

\(0 = 12.247 - 5t \implies 5t = 12.247\)

\(t = \frac{12.247}{5} = 2.4494 \approxeq 2.45 s\)

(b)(i) Resultant force

\(F = \begin{pmatrix} 10 \cos 0° \\ 10 \sin 0° \end{pmatrix} + \begin{pmatrix} 5\sqrt{3} \cos 30° \\ 5\sqrt{3} \sin 30° \end{pmatrix} + \begin{pmatrix} 5 \cos 30° \\ 5 \sin 30° \end{pmatrix} + \begin{pmatrix} 5 \cos 300° \\ 5 \sin 300° \end{pmatrix} + \begin{pmatrix} 5\sqrt{3} \cos 330° \\ 5 \sqrt{3} \sin 330° \end{pmatrix}\)

= \(\begin{pmatrix} 10 \times 1 \\ 10 \times 0 \end{pmatrix} + \begin{pmatrix} 5\sqrt{3} \times \frac{\sqrt{3}}{2} \\ 5 \sqrt{3} \times \frac{1}{2} \end{pmatrix} + \begin{pmatrix} 5 \times \frac{1}{2} \\ 5 \times \frac{\sqrt{3}}{2} \end{pmatrix} + \begin{pmatrix} 5 \times \frac{1}{2} \\ -5 \times \frac{\sqrt{3}}{2} \end{pmatrix} + \begin{pmatrix} 5\sqrt{3} \times \frac{\sqrt{3}}{2} \\ -5\sqrt{3} \times \frac{1}{2} \end{pmatrix}\)

= \(\begin{pmatrix} 10 \\ 0 \end{pmatrix} + \begin{pmatrix} 7.5 \\ 2.5 \sqrt{3} \end{pmatrix} + \begin{pmatrix} 2.5 \\ 2.5\sqrt{3} \end{pmatrix} + \begin{pmatrix} 2.5 \\ -2.5 \sqrt{3} \end{pmatrix} + \begin{pmatrix} 7.5 \\ -2.5 \sqrt{3} \end{pmatrix}\)

= \(\begin{pmatrix} 30 \\ 0 \end{pmatrix}\)

Magnitude of resultant = \(\sqrt{30^{2}} = 30N\)

(ii) \(F = ma \implies a = \frac{F}{m}\)

= \(\frac{30}{5} = 6 ms^{-2}\)

Correct Answer: B) NCF

Explanation

In Nigeria, there is an agency responsible for conserving natural resources. The question is asking which agency that is. The options provided are PDP, NCF, ACC, and NEMA. Out of these options, the correct answer is NCF, which stands for Nigerian Conservation Foundation. This agency is dedicated to preserving and protecting Nigeria's natural resources, including its wildlife, forests, water, and other natural habitats. The NCF works to promote environmental education and awareness and to encourage sustainable development practices. By protecting Nigeria's natural resources, the NCF helps to ensure that these resources are available for future generations to enjoy. It is important to recognize the role of organizations like the NCF in promoting environmental stewardship and conservation.

Correct Answer: D. 8.0m

Explanation

Convert velocity from \(kmh^{-1}\) to \(ms^{-1}\), by multiplying \(\frac{1000}{3600}\),

\(72 \times \frac{1000}{3600}\) = \(20ms^{-1}\)

Therefore, distance covered in 0.4s = \(20 \times 0.4 = 8m\)