Explanation

(a) Luke 24:13-49

(i) Two men were traveling to Emmaus and were discussing the events that had happened in Jerusalem concerning Jesus' resurrection.

(ii) As they were reasoning together, Jesus joined them but they did not recognize Him.

(iii) Jesus asked them what they were discussing that made them so sad.

(iv) One of them, Cleopas, expressed surprise that Jesus did not know about the recent happenings in Jerusalem.

(v) Jesus asked them what had happened.

(vi) They told him about Jesus, a mighty prophet in deed and word.

(vii) Whom the Chief priests and elder had delivered to be condemned to death and killed him.

(viii) They had hoped that this Jesus would have redeemed Israel and now his body was also reported missing from the tomb (according to the women).

(ix) Some of the disciples had gone to the tomb and confirmed the report of the women.

(x) At this juncture, Jesus rebuked them for unbelief and lack of understanding saying, "was it not necessary that Christ should suffer these things and enter into his glory?"

(xi) Jesus also interpreted to them all the scriptures concerning himself as revealed by the prophets from the time of Moses.

(xii) During the evening meal, Jesus took bread, blessed it, broke it and gave them to eat and their eyes opened.

(xiii) As they recognized him, he vanished.

(xiv) The men quickly returned to Jerusalem and told the eleven how Jesus had appeared to them and partook in the evening meal with them.

(b) Two lessons from the encounter:

(i) Christians should show genuine concern for the plight of others.

(ii) Doubts and unbelief can block one's views and understanding of basic truth about God.

(iii) The appearances assure, restore and strengthen believer's faith in the risen Lord.

(iv) The appearances give us the conviction that Christ is alive, so we can preach Christ as a living Jesus.

(v) Table fellowship/Eucharist/ Holy communion/brings unity/intimacy/peace.

Correct Answer: C. elastic

Explanation

Elastic demand is a situation where a change in prices leads to a change in the quantity demanded.

Correct Answer: D. Diabetes

Correct Answer: C. which control the mechanism for blood-clotting

Correct Answer: A. Pharisees and Sadducees

Explanation

(a) Describe the solar system. The solar system is made up of the sun and its nine planets with their satellites. The planets are: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto. The sun is at the centre of the system and all the planets revolve round the sun in elliptical orbits. The sun is the source of light and energy for all the planets. The planets shine only by reflected light from the sun, Of the planets, Mercury is the closest and hence the hottest of the planets. It is the smallest planet while the largest planet is Jupiter. Pluto is the farthest from the sun and hence the coldest of the planets. Saturn has a unique feature of three rings.

(b) Characteristics of Planets

(i) Pluto

(a) It is the coldest

(b) It is the farthest

(c) Has the longest orbit round the sun

(d) Has no satellite

(e) Takes 247 years to complete one revolution round the sun.

(ii) Mercury

(i) It is the smallest

(ii) It is the closest to the sun(97,600,000km)

(iii) It is the hottest

(iv) It has no satellite

(v) Does not support life because of heat

(vi) Takes 88 days to revolve round the sun.

Correct Answer: B. 100.0ms^-1

Explanation

V² = U² + 2gs

V² = 0

V² = 2gs

h = 500m

g = 10ms^-2

V² 2 x 10 x 500

V² = 10,000

V = \(\sqrt{10000}\)

V = 100ms^-1

Explanation

(a) \((p + qx)^{7} = p^{7} + 7p^{6} qx + 21p^{5} (qx)^{2} + 35p^{4} (qx)^{3} + 35p^{3} (qx)^{4} + 21p^{2} (qx)^{5} + 7p(qx)^{6} + (qx)^{7}\)

The coefficient of \(x^{2}\) = \(21p^{5} q^{2}\)

The cofficient of \(x^{3}\) = \(35p^{4} q^{3}\)

\(\therefore 21p^{5} q^{2} = 35p^{4} q^{3}\)

\(\implies 21p = 35q\)

\(q = \frac{21}{35} p = \frac{3}{5} p\).

(b) N180 + N260 + N340 + ...

This sequence is a linear sequence with first term = a = 180, d = 80.

\(S_{16} = ?\)

\(S_{n} = \frac{n}{2} (2a + (n - 1) d)\)

\(S_{16} = \frac{16}{2} (2(180) + (16 - 1) 80\)

= \(8(360 + 1200)\)

= \(8(1560)\)

= \(N12,480\)

He would have contributed N12,480 by the 16th week.

Correct Answer: A. capacitance would increase

Correct Answer: B. imperial expansion and firearms trading

Explanation

Imperial expansion and firearms trading is the correct answer. Kanem-Borno Empire believed in the expansion of its imperial territories and in the same vein, traded in firearms and horses for the purpose of creating a sophisticated cavalry.