Correct Answer: B. varies all its inputs

Explanation

(b) If we let r be the retardation, then \(\frac{s}{t}\) : r = 3 : 4

when simplified, r = \(\frac{10}{3}\)

Velocity after 4 seconds = 20 + \(\frac{5}{2}\) x 4 = 30ms\(^{-1}\)

So that \(\frac{5}{2}\) : \(\frac{30}{t}\) = \(\frac{3}{4}\)

t = 9 seconds

(c) The total distance of the journey = {[\(\frac{1}{2}\) (20 + 30)4] + (30 x 8) + \(\frac{1}{2}\)(30 x 9)}

= 100 + 240 + 135 = 475 metres

Correct Answer: B. Personification

Explanation

Personification is a form of figurative language in which something that is not human is given human characteristics. This device is often used in poetry to enhance the meaning and beauty of poems.

Correct Answer: B. Have you seen

Correct Answer: C) Rehoboam

Explanation

The question is asking for the name of Solomon's son who made unwise decisions. The options are Jeroboam, Rechoboam, Rehoboam (which is the correct answer), and Asa.

Solomon was a king of Israel who was blessed with wisdom from God. However, his son, Rehoboam, did not inherit his father's wisdom. After Solomon's death, the people of Israel asked Rehoboam to lighten the heavy burden of taxes and labor that Solomon had imposed on them. Instead of listening to their pleas, Rehoboam consulted with his young advisors who advised him to impose even harsher taxes and labor. This caused the people to rebel against him, and the kingdom was divided into two: the northern kingdom, ruled by Jeroboam, and the southern kingdom, ruled by Rehoboam.

It is important to note that Rehoboam's unwise decisions led to the division of the kingdom of Israel, which eventually led to its downfall. This is a lesson on the importance of seeking wisdom and listening to wise counsel.

In summary, the correct answer to the question is Rehoboam, who made unwise decisions that led to the division of the kingdom of Israel.

Correct Answer: B) 6X and 25Y

Explanation

This question is about a consumer who has ?100 of income to spend on two goods, X and Y. The price of good X is ?10, and the price of good Y is ?2. The question asks which of the following combinations of X and Y is not affordable with ?100.

Option A is 10X and 0Y. This means the consumer spends all their ?100 on good X and none on good Y. Since the price of X is ?10, the consumer can buy 10 units of X with ?100. This combination is affordable.

Option B is 6X and 25Y. This means the consumer spends ?60 on good X and ?50 on good Y. The cost of 6 units of X is ?60 (6 x ?10), and the cost of 25 units of Y is ?50 (25 x ?2). The total cost of this combination is ?110, which is more than the ?100 income the consumer has. Therefore, this combination is not affordable, and it is the correct answer.

Option C is 4X and 20Y. This means the consumer spends ?40 on good X and ?40 on good Y. The cost of 4 units of X is ?40 (4 x ?10), and the cost of 20 units of Y is ?40 (20 x ?2). The total cost of this combination is ?80, which is less than the ?100 income the consumer has. Therefore, this combination is affordable.

Option D is 5X and 25Y. This means the consumer spends ?50 on good X and ?50 on good Y. The cost of 5 units of X is ?50 (5 x ?10), and the cost of 25 units of Y is ?50 (25 x ?2). The total cost of this combination is ?100, which is equal to the ?100 income the consumer has. Therefore, this combination is also affordable.

In summary, the correct answer is Option B because the total cost of 6X and 25Y is more than the ?100 income the consumer has. This question tests the student's understanding of the concept of affordability based on the prices of goods and the consumer's income.

Explanation

(a) Labour force refers to persons available to supply the labour for the production of economic goods and services. Labour force is the working population and it comprises all persons who have jobs and who are seeking for jobs in the labour market. They are between the ages of 18 years and 60 years.

(b) Factors affecting the size of labour force are:

(i) Size of population of the country.

(ii) Number of working hours and working days.

(iii) Statutory entry and retirement ages.

(iv) Proportion of the labour force willing and able to work

(v) Official school-leaving age.

(vi) Proportion of women in the labour force.

Correct Answer: B. kinetic energy

Explanation

An elastic collision is an encounter (collision) between two bodies in which the total kinetic energy of the two bodies remains the same.

Correct Answer: C) Extinct

Correct Answer: C. hyperbole