Correct Answer: D. 42^o

Explanation

Sin C = \(\frac{1}{\eta} = \frac{1}{1.5} = 0.6667\)

C = sin\(^{-1}\) 0.6667

= 42°

Correct Answer: C. provide loans to members to finance viable projects

Correct Answer: A. (1, 2)

Explanation

\(4(2^{x^2}) = 8^{x} \equiv (2^{2})(2^{x^2}) = (2^{3})^{x}\)

\(\implies 2^{2 + x^{2}} = 2^{3x}\)

Comparing bases, we have

\(2 + x^{2} = 3x \implies x^{2} - 3x + 2 = 0\)

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

\(x(x - 2) - 1(x - 2) = 0\)

\((x - 1) = 0\) or \((x - 2) = 0\)

\(x = \text{1 or 2}\)

Correct Answer: C. VDU

Correct Answer: D. hindered

Explanation

(a) Jesus teaches that He is the Good Shepherd and that the Good Shepherd lays down his life for the sheep explaining that any one who does not enter the sheep-fold by the door but climbs by another way is a thief, but he who enters by the door is the shepherd of the sheep. Thus, Jesus describes himself as the door and concludes that any one that enters by him at any time will be saved. The gatekeeper opens the door to him and the sheep hear his voice and he calls them by name. He leads the sheep out and the sheep follow him (because they know him and his voice). The sheep will not follow a stranger as they do not know his voice. Christ says that as the Shepherd, he will not flee at the sight of a wolf as a hireling will. Jesus says, he cares for his sheep for they belong to him. The thief / wolf destroys but Jesus gives abundant life.

(b) Relevance to Christians By laying down his life for us, Christ has opened the door to eternal life for everybody that believes and does the will of God. We must recognize Jesus as the only door through which we can enter into a life of happiness / joy. Any other door will mean destruction. If Christ has died for us, we should sin no more. We should always listen to the right voice, the voice of God and follow it. We should be steadfast in serving the Lord, not counting the loss.

Correct Answer: B) commanding word prefaced by there be

Explanation

The question is asking how God's creative ability was shown. The possible answers are: A) approving that a thing be done, B) commanding word prefaced by there be, C) ordering the Holy Spirit to act, and D) choosing the better of two alternative models. The correct answer is B) commanding word prefaced by there be.

In the Bible, the book of Genesis tells us that God created the world in six days. He simply spoke things into existence by commanding them to exist. For example, in Genesis 1:3, God said let there be light, and there was light. This shows that God's creative ability was manifested by commanding the existence of things through his words.

It's important to note that God's creative ability goes beyond just creating the physical world. He also creates new life in the form of human beings, and he can transform people's lives through his power. As Christians, we believe that we can tap into God's creative ability through prayer and faith in him.

To learn more about this, please read the relevant sections of the recommended textbooks.

Explanation

Functions of Pressure Group include:

(i) Welfare Services :Certain general welfare services are promoted by pressure groups. For example Nigerian Bar Association (NBA) offers free legal services to the less privileged in the society.

(ii) It is a link: Pressure group acts as a link between the people and the government.

(iii)Promotion of economic stability:This is made possible through the chamber of commerce.

(iv) Advises the government:It advises the government on some vital issues of administration at the local, state, or central governments. It also gives useful suggestions.

(v) Watch dog:Pressure group watches over public issues and policies of administration in a country.

(vi)Political education: It helps in giving its members political education. This helps them in knowing their political rights and decisions made in government.

(vii)Provision of Manpower: Pressure group a reservoir bank from where government can employ experts to work in the government, e.g Judges in Courts are drawn or appointed from the Nigerian Bar Association.

(viii)Promotion of the interest of the members:The basic function of pressure group is generally the protection and promotion of the interests and welfare of its members.

Correct Answer: D. 360

Correct Answer: B. Alex Ekwueme, National Party of Nigeria

Explanation

Alex Ifeanyichukwu Ekwueme was the first Vice President of Nigeria in the Second Republic (1979-1983) under the platform of the National Party of Nigeria (NPN).