Explanation

(a) Importance of warehouse to commerce are:

(i) Source of revenue: Warehouse can be hired out to users to generate revenue.

(ii) Storage facilities: Goods produced are stored in the warehouse until they are sold.

(iii) Price stabilization: When goods are produced ahead of demand, they will be stored to prevent excess supply so that price will be stabilized.

(iv) Employment opportunities: In setting up warehouses, managers, clerks, store assistants will be employed.

(V) Long term planning: Since raw materials can be acquired in advance and stored in the ware house, manufacturers can embark on long term production planning.

(b) Factors that should be considered in siting a small scale retail shop include:

(i) Capital: The amount of capital available is a major factor to consider in deciding the type of retail business to set -up.

(ii) Source of supplies: The cost of transportation to and from the source of supplies is another factor to be considered.

(iii) Type of goods: The nature of the goods should be taken into consideration. Some goods are perishable and some require technical knowledge.

(iv) Credit facilities: The retailer should consider whether he wants to grant credit facilities to customers or sell on cash basis.

(v) Pricing: The retailer should consider the pricing policy to adopt, i.e. whether to choose one which ensures a quick turnover but small profit or one which ensures higher profits but a very low turnover.

(vi) Structure of population and location: The shop and its site should be accessible to customers.

(vii) Method of Advertising: The method of creating awareness for the goods will be considered.

(viii) Quality of goods to stock: The quality of goods to stock will depend on the quality of population. A retailer opening up a shop in a high - class area will not make profit if he stocks cheap goods and vice versa

Correct Answer: C. 1/2KX\(^{2}\)

Explanation

elastic potential energy[Ee] = \(\frac{1}{2} ke^2\).

Correct Answer: C. Increasing the length of the string

Explanation

The swing rate of a pendulum is determined by its length. The longer the pendulum, the slower the pendulum swings and vice-versa.

Correct Answer: B. a counter offer

Explanation

(a) God gave Joshua a master plan for the capture of Jericho which was strictly adhered to by him. The assault started with a procession led by armed men of war, followed by seven priests with seven trumpets, while another group of priests formed the rear guard bearing the ark of the Lord, and simultaneously the trumpets blew continually as the procession marched around the city of Jericho once a day for six days. After each march, they came into the camp and spent the night there. There, they were warned not to shout until Joshua gave them the order to shout. On the seventh lay, they rose early and marched around the city in the same manner seven times. At the seventh time, when the priest had blown the trumpet, Joshua commanded the people to shout, adding that the Lord had given them the city. Immediately, people shouted and the trumpets were blown. As soon as the people heard the trumpet, they raised a great shout and the wall fell down flat. The people went straight into the city and took it. Joshua then instructed the people to destroy the city with fire and this was done. But Rahab, the harlot who spared the two spies, together with her household, were not destroyed. Also precious stones like gold silver and the vessels of bronze were kept in the Lord's treasury.

(b) Lessons for Christians to Learn

(i) The Omnipotence / power of God was demonstrated / with God everything is possible, nothing is beyond God's power.

(ii) God is ready to fight for His people, if we trust in Him at all time. he emphasis is on trust.

(iii) Joshua is presented as a man of Faith in God. He did not doubt God.

(iv) Obedience: Joshua obeyed God's command. This led to his success.

(v) God uses people no matter their conditions (e.g. Ahab, the harlot)

Correct Answer: A. 4/16

Explanation

Since the offspring receives one allele from each parent, crossing a purebred dominant organism with a purebred recessive organism (PPQQ x ppqq) will always result in a hybridized offspring (PpQq). Thus, Flower 1's genotype is PpQq. Also remember that a recessive phenotype always indicates double recessive alleles for that trait. And so, crossing Flower 1 with a white, short-stemmed flower will result in the cross PpQq x ppqq. The next step is to draw a 4x4 Punnett square, as seen in the diagram. The desired genotype for this question is ppqq (recessive phenotype), and from the Punnett square you will be able to see that 4/16 of the squares will carry this specific genotype.

Correct Answer: B) 1.0cm

Explanation

An important concept in chromatography is the \(r_f\)-value, which stands for the retention factor. The \(r_f\)-value is a ratio that compares the distance traveled by a compound to the distance traveled by the solvent front. It is calculated using the following formula:

In this question, you are given the \(r_f\)-value of the compound (0.505) and the distance the compound traveled (10 cm, as it moved halfway up the 20 cm long plate). You are asked to find the distance of the solvent front from the top of the plate upon elution.

First, let's find the distance traveled by the solvent front. We can rearrange the formula for the \(r_f\)-value to solve for the distance traveled by the solvent front:

Substitute the given values:

Now, to find the distance of the solvent front from the top of the plate, subtract the distance traveled by the solvent front (19.8 cm) from the total length of the plate (20 cm):

Therefore, the correct answer isOption B: 1.0 cm.

Correct Answer: B. hands

Correct Answer: C. 230 units

Correct Answer: D. \(110_{two}, 42_{five}, 31_{eight}\)

Explanation

Converting each number to base 10

\(110_{two} = 1 × 2^2 + 1 × 2^1 + 0 × 2^0\)

= 1 × 4 + 1 × 2 + 0 × 1

= 4 + 2 + 0

= \(6_{ten}\)

\(31_{eight} = 3 × 8^1 + 1 × 8^0\)

= 3 × 8 + 1 × 1

= 24 + 1

= \(25_{ten}\)

\(42_{five} = 4 × 5^1 + 2 × 5^0\)

= 4 × 5 + 2 × 1

= 20 + 2

= \(22_{ten}\)

Hence, \(31_{eight} > 42_{five} > 110_{two}\)

In ascending order, \(110_{two}, 42_{five}, 31_{eight}\)