Correct Answer: D) degeneracy of orbitals

Correct Answer: B. piracy and trade

Correct Answer: C. Pith

Correct Answer: B. atmosphere

Explanation

\(F_{R} = F_{1} + F_{2} + F_{3}\)

\(F_{1} = (10 N, 090°) = \begin{pmatrix} 10 \cos 90 \\ 10 \sin 90 \end{pmatrix} = \begin{pmatrix} 0 \\ 10 \end{pmatrix}\)

\(F_{2} = (20 N, 210°) = \begin{pmatrix} 20 \cos 210 \\ 20 \sin 210 \end{pmatrix} = \begin{pmatrix} -10\sqrt{3} \\ - 10 \end{pmatrix}\)

\(F_{3} = (4 N, 330°) = \begin{pmatrix} 4 \cos 330 \\ 4 \sin 330 \end{pmatrix} = \begin{pmatrix} 2\sqrt{3} \\ -2 \end{pmatrix}\)

\(F_{R} = \begin{pmatrix} 0 \\ 10 \end{pmatrix} + \begin{pmatrix} -10\sqrt{3} \\ -10 \end{pmatrix} + \begin{pmatrix} 2\sqrt{3} \\ -2 \end{pmatrix}\)

= \(\begin{pmatrix} -8\sqrt{3} \\ -2 \end{pmatrix}\)

\(|F_{R}| = \sqrt{(8\sqrt{3})^{2} + (-2)^{2}}\)

= \(\sqrt{192 + 4} \)

= \(\sqrt{196} = 14 N\)

Correct Answer: B. \(7x^{2} - 4x + 5 = 0\)

Explanation

Let the roots of the equation be \(\alpha\) and \(\beta\).

\(\alpha + \beta = \frac{-b}{a} = \frac{4}{7}\)

\(\alpha \beta = \frac{c}{a} = \frac{5}{7}\)

\(\implies a = 7, b = -4, c = 5\)

Equation: \(ax^{2} + bx + c = 0 \)

= \(7x^{2} - 4x + 5 = 0\)

Correct Answer: C. Geyser

Explanation

(a) Commodities exported from Nigeria my Country: (i) Groundnut. (ii) Rubber. (iii) Cocoa. (iv) Cotton. (v) Timber.

(vi) Palm produce. (vii) Crude oil. (viii) Hide and Skin. (ix) Tin and Columbite. (x) Fruits. (xi) Gum arabic.

(b) Reasons for the low volume of trade among West African countries: (1) Inadequate capital. (ii) Low level of technology.

(iii) Political instability. (iv) Low level of savings. (v) Different currencies used in West African countries.

(vi) Poor transportation and communication links. (vii) Taste for foreign goods. (viii) Colonial ties.

(ix) High Tariffs / Trade restrictions. (x) Production of similar goods. (xi) Existence of regional Trade Unions.

(xii) Poor qualities of goods. (xiii ) Government policy. (xiv) Similarity of climate.

(c )Ways of improving trade among West African Countries: (i) Removal of regional trade unions.

(ii) Improvement in technology.

(iii) Improvement of transportation and communication links.

(iv) Regulation of harriers such as tariffs. (v) Good governance.

(vi) Encouraging cross-border investment. (vii) Introduction of common currency.

(viii) Manufacturing of goods usually imported from outside.

(ix) encouragement of specialization in production. (x) Protection from foreign competition. (xi) Increase in wag and salaries.

(xii) Education on self reliance to reduce dependence on colonial masters.

(xiii) Implementing ECOWAS protocol to enlarge market. (xiv) Sensitization of the populace to patronize locally manufactured products.

(xv) West African countries should work towards political stability.

Correct Answer: D. starch

Correct Answer: B. rainforests and the sudan savanna