Explanation

(a) \(T_{n} = a + (n - 1)d\) (terms of an AP)

\(T_{21} = a + 20d = 5\frac{1}{2}.... (1)\)

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

Where a and l are the first and last terms respectively.

\(S_{21} = \frac{21}{2} (a + 5\frac{1}{2})\)\)

\(94\frac{1}{2} = \frac{21}{2} (a + 5\frac{21}{2})\)

\(189 = 21 (a + 5\frac{1}{2})\)

\(9 = a + 5\frac{1}{2} \implies a = 9 - 5\frac{1}{2} = 3\frac{1}{2}\)

(b) Put a in the equation (1),

\(3\frac{1}{2} + 20d = 5\frac{1}{2}\)

\(20d = 5\frac{1}{2} - 3\frac{1}{2} = 2\)

\(d = \frac{2}{20} = \frac{1}{10}\).

(c) \(S_{30} = \frac{30}{2} (2(3\frac{1}{2}) + (30 - 1)(0.1)\)

= \(15(9.9)\)

= \(148.5\)

Correct Answer: C. human right

Correct Answer: A. 1787 and 1824

Explanation

Liberia was founded by the Ameriacan colonhization society, a group of white Americans in the year 1824 while Sierria Leone by the committee for the relief of the black poor in the year 1787.

Explanation

(a) Competitive supply is when two or more products are produced using the same resources such that an increase in the production of one leads to a reduction in the supply of the other.

(b) A supply schedule is a table showing the various prices and quantities of a commodity which sellers are willing to offer for sale at a given period.

While a supply curve is a graphical representation of various quantities of a commodity which sellers are willing to offer for sale at various prices.

Price.

(c)(i) An improvement in technology would raise the productivity of inputs and increase production, all things being equal. As production increases, supply would increase. (ii)A rise in input prices would increase the cost of production. All things being equal, production would decrease and supply would decrease.

(iii) A rise in the prices of other commodities would make their production more profitable, all things being equal. As a result, resources would shift into the production of these commodities and decrease the production and supply of the other commodity.

(iv) An increase in government subsidies on production will reduce the cost of production which will lead to an increase in the production and supply of product.

Correct Answer: C. people in government throught persasive arguments

Correct Answer: C. core

Explanation

(a) Outline the arguments used by Paul to defend the Resurrection: 1 Cor. 15:1— 58:

(i) The Corinthian Christians doubted the reality of resurrection from the dead. Paul therefore, explained to them the possibility of the resurrection of believers on the final day. Using the following arguments:

(ii) He explained that since Christ died and resurrected, it meant that his followers would equally resurrect on the last day.

(iii) He pointed out that Christ's resurrection was in accordance with the scriptures.

(iv) It was witnessed by people including Cephas (Peter), the rest of the twelve apostles, more than five hundred brethren, James and all the apostles.

(v)He also appeared to Paul, who was born late in apostleship because he was not one of the original apostles.

(vi)He further explained that if Christ did not resurrect, they would not have been preaching that God raised Him from death for it would have been a mis-representation of God.

(vii) Their preaching of the Gospel would have been in vain.

(viii) Christian faith would have been futile.

(ix) There would not have been hope for those who were dead in Christ. They would have died and perished in vain; and would have, among all men, been the most miserable.

(x) But in fact, Christ has been raises from the dead, the first fruit of those who have fallen asleep.

(xi) The baptism in the name of Christ would have not been necessary, as people could not have been baptized in the name of the dead.

(xii) He Paul, would not have embarked on the missionary work that was full of danger and risk.

(xiii) He would have encouraged people not to be mindful of morals, but to eat and drink, and be ready to die at any time.

(xiv) He therefore warned the Christians not to be deceived by bad people who disbelieved the resurrection of the dead and thus ruined and discouraged good morals.

(xv)As by one man death came, by one man also came resurrection from the dead.

(xvi) The on of resurrection is Christ first, then the believers.

(xvii) In a moment, in a twinkle of an eye, at the last trumpet, shall be changed.

(xviii) For the trumpet shall sound and the dead shall be raised imperishable.

(xix) This mortal body must put on immortality.

(xx) Therefore, encourage one another with these words.

(b) Three Significance of the resurrection to the believers:

(i) It gives them hope that all believers will resurrect

(ii) Believers will be able to see their loved ones again.

(iii) Believers will have bodies, like Jesus' body

(iv) Resurrection is the ultimate of Christianity.

(v) With Resurrection, Christians are assured of life after death

(vi) Death is not the end of everything but a transition.

(vii) Therefore, no hopeless mourning.

(viii) It confirms the divine nature of Christ.

Correct Answer: A. 0.0 V

Correct Answer: B. trading and aids to trade

Correct Answer: D. 5x \(10^{-5}K^{-1}\)

Explanation

\(\alpha = \frac{I_2-I_1}{I_1(\theta_2-\theta_1)} \\ \Rightarrow \frac{40.05 - 40}{40 \times (45-20)} = 5.0 \times10^{-5}\)