Correct Answer: B. wind

Explanation

(a) majority of the candidates multiplied through by the L.C.M which is 14 to arrive at 7(1+4x) - 2(5+2x) < 14(x - 2) and when simplified yielded 10x < -25 x -2\(\frac{1}{2}\)

(b) it was expected that they express x = \(\frac{3y}{5}\) or y = \(\frac{5x}{3}\) and thereafter, substitute into the given expression to have \(\frac{2x^2 - y^2}{y^2 - x^2} = \frac{2x^2 - (\frac{5x}{3})^2}{(\frac{5x}{3})^2 - x^2} = \frac{x^(2 - \frac{25}{9})}{x^2(\frac{25}{9} - 1)} = \frac{-7}{16}\)

Correct Answer: D. fixed cost

Correct Answer: A. 0 ms^-2

Explanation

a = \(\frac{v - u}{t} = \frac{10 - 10}{5} = 0\)m/s

Explanation

(a)(i) The advantages of rail transport are: (i) Opening of new areas (ii) Low cost of maintenance. (iii) Ease of transporting bulky goods.

(iv) Cheap transport mode. (v) Can easily transport many passengers. (vi) Suitable for both medium and long distance haulage.

(vii) Used in circumventing interruptions along courses. (viii) Not prone to traffic congestion. (ix) Occupy less space.

(x) Relatively safe for passenger traffic.

(a)(ii) The advantages of water transport are: (i) Cheapest means of transportation

(ii) Low cost of construction. (iii) Free passage for all nations. (iv) Good for passenger traffic. (v) Suitable for large freight.

(vi) Capable of transporting heavy goods. (vii) Relatively safe for passenger traffic. (viii) Low cost of maintenance..

(ix) Facilitates international trade.

(b) Reasons why some countries in Africa have not been able to sustain their rail transport system are:

(i) High cost of fuel.

(ii) Low passengers. (iii) Inadequate capital. (iv) Inadequate technical know-how. (v) Inadequate spare parts.

(vi) Dwindling mineral reserves. (vii) Poor maintenance culture. (viii) Poor management.

(ix) Competition with other modes of transport.

(x) High cost of infrastructural development. (xi) Low freight/Cargo.

(xii) Absence of door-to-door services.

(xiii) Unstable government policies.

Correct Answer: A. efficient pest control services

Correct Answer: A. gloom

Correct Answer: C) 3.75

Explanation

Potassium trioxochlorate (V) is also known as potassium chlorate (V) with the chemical formula KClO₃. The decomposition of potassium chlorate (V) involves the production of potassium chloride (KCl) and oxygen gas (O₂). The balanced chemical equation for this decomposition is:

\(2KClO_3 \rightarrow 2KCl + 3O_2\)

In this equation, 2 moles of potassium chlorate (V) decompose to produce 3 moles of oxygen gas. To find out how many moles of O₂ are produced from the decomposition of 2.5 moles of KClO₃, we can set up a proportion:

\(\frac{3 \, \text{moles} \, O_2}{2 \, \text{moles} \, KClO_3} = \frac{x \, \text{moles} \, O_2}{2.5 \, \text{moles} \, KClO_3}\)

Now, we can solve for x:

\(x \, \text{moles} \, O_2 = \frac{3 \, \text{moles} \, O_2 \times 2.5 \, \text{moles} \, KClO_3}{2 \, \text{moles} \, KClO_3}\)

\(x \, \text{moles} \, O_2 = 3.75 \, \text{moles} \, O_2\)

Correct Answer: C. inbreed the animals in his herd

Correct Answer: C. 10cm

Explanation

Area of a trapezium = \(\frac{[a+b]h}{2}\)

105 = \(\frac{[9+12]h}{2}\) → 105 x 2 =21h

h = \(\frac{210}{21}\) → 10cm