Correct Answer: A. Supplements the Quran and serves as a second source of Islamic law

Explanation

\(2^{2x - 3y} = 32 \implies 2^{2x - 3y} = 2^{5}\)

\(\implies 2x - 3y = 5 ...., (1)\)

\(\log_{y} x = 2 \implies x = y^{2} .... (2)\)

Putting (2) into (1), we have

\(2y^{2} - 3y = 5 \implies 2y^{2} - 3y - 5 = 0\)

\(2y^{2} - 5y + 2y - 5 = 0\)

\(y(2y - 5) + 1(2y - 5) = 0\)

\((2y - 5)(y + 1) = 0\)

\(\implies y = \frac{5}{2} ; y = -1\)

\(\therefore x = \frac{25}{4}; x = 1\)

Explanation

(i) Departmental Stores -

1. It is a large scale retail unit in which many different stores are housed in a large building under the same roof.
2. They are divided into different departments or stores.
3. Each department specialises in the sale of a particular type of product
4. Every product carries fixed price tag thereby making purchases simple and easy
5. Every department store has a General Manager who co-ordinates the activities of all Sectional Managers
6. They are found mainly in urban centres
7. They offer opportunity for one stop buying

(ii) Mobile Shop

1. They operate from motor vans or trucks and move from place to place
2. They sell a wider range of goods and are accessible to the consumers
3. They advertise their goods through playing of music, ringing bells or other methods.
4. They offer personal service to their customers.

(iii) Chain Stores

1. They are large scale retail business units with standard shop front scattered all over the country
2. They deal in one line of product in all their branches
3. Goods sold in all their branches are manufactured or purchased by the Head Office and distributed to all branches
4. Their prices are pre-determined by the Head Office
5. They are found in urban centres
6. Goods have price tags.

(iv) Mail Order Business

1. It is operated through the post
2. Its transaction is aided by the use of illustrated catalogues which customers use to order goods
3. Payment for goods is sent with order or through cash on delivery basis
4. It incurs lower overhead cost
5. It operates from its warehouses.

(v) Supermarkets

1. They are large scale retail self-services stores
2. They stock mainly household goods and food items under the same roof
3. Goods displayed have price tags for easy selection
4. Facilities like trolleys, baskets or trays are provided for customers to ease movement, selection and carriage
5. Gods collected are paid for and cross checked by the security guards stationed at exit doors
6. They provide packing space for their customers
7. They are located in city centres/population centres

Correct Answer: D. Atlantic ocean

Correct Answer: D. convergent evolution

Correct Answer: D. lack chlorophyll

Correct Answer: C) Law and the prophets

Explanation

In the story of the Transfiguration, there were two important figures present, Moses and Elijah. These two figures represented something significant. The question is asking us to identify what they represented. The options given are: A) glory of God, B) Old Testament saints, C) Law and the prophets (which is the correct answer), and D) end of the age.

The story of the Transfiguration is found in the New Testament, in the Gospels of Matthew, Mark, and Luke. In this story, Jesus takes Peter, James, and John up a mountain where he is transfigured before them. His face shines like the sun, and his clothes become dazzling white. Moses and Elijah then appear and talk with Jesus.

Moses and Elijah were both important figures in the Old Testament. Moses was known for receiving the Law from God on Mount Sinai, while Elijah was a prophet who performed many miracles. Together, they represent the Law and the prophets. This is why option C is the correct answer.

The Law and the prophets refer to the Old Testament scriptures that foretold the coming of the Messiah. Jesus, being the Messiah, fulfills these scriptures. By appearing with Moses and Elijah, Jesus is shown to be in continuity with the Law and the prophets, and the fulfillment of their promises.

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

Explanation

(i) Poverty: This makes victims very vulnerable.

(ii) Youth unemployment: When youths are unemployed, they easily fall victim of human trafficking.

(iii) Disorientation of values/moral decadence in society: This also contributes greatly to human trafficking in Nigeria.

(iv) Greed and get-rich-quick attitude: Greed and the quest to get rich at all costs contribute to human trafficking in Nigeria.

(v) Corruption in the society: Corruption at various levels in Nigeria encourages adventures into the crime of human trafficking.

(vi) Bad leadership: Bad leadership in Nigeria gives strength to human trafficking in Nigeria because it fails to protect citizens and provide for their social, economic and security needs.

(vii) Ignorance or lack of knowledge/awareness on the part of victims of human trafficking: This is also one of the contributing factors that have contributed to the persistence of human trafficking in Nigeria.

(viii) Social-economic-related deprivation: This breeds desperation to travel of the country by all means. This will then results in human trafficking.

(ix) Political instability: This contributes to the persistence of human trafficking in Nigeria, because of instability in the country's politics.

(x) Inefficiency/ineffectiveness of law enforcement agents: This makes apprehension of human traffickers difficult, and therefore, they continue their operations.

(xi) Inadequate punishment of offenders.

(xii) Rise in demand for commercial sex workers encourages human trafficking.

Explanation

(a) If initial velocity = U Then horizontal component

\(U_x = Ucos\theta\)

Ucos\(\theta\) = 50

U = \(\frac{50}{cos \theta} = \frac{50}{cos 30^o}\) = 57.7m/s

(b) But at maximum height V = O

V\(_y\) = O

V\(_x\) = U\(_x\) = 50m/s

Correct Answer: D. q = pr^{\(\frac{1}{3}\)}

Explanation

p^{\(\frac{1}{3}\)} = \(\frac{3\sqrt{q}}{r}\)(cross multiply)

3\(\sqrt{q}\) = r x 3\(\frac{\sqrt{q}}{r}\)(cross multiply)

3\(\sqrt{q}\) = r x 3\(\sqrt{p}\) cube root both side

q = 3\(\sqrt{r}\) x p

q = r^{\(\frac{1}{3}\)}p = pr^{\(\frac{1}{3}\)}