Correct Answer: B. 24

Correct Answer: D. An alkane with 49 carbon atoms contains 100 hydrogen atoms

Explanation

The general formula for alkanes is \(C_nH_{2n}+2\). For an alkane with 49 carbon atoms (n = 49), the number of hydrogen atoms can be calculated as follows:

Number of hydrogen atoms (H) = 2n + 2

Number of hydrogen atoms (H) = 2 * 49 + 2

Number of hydrogen atoms (H) = 98 + 2

Number of hydrogen atoms (H) = 100

So, an alkane with 49 carbon atoms contains 100 hydrogen atoms.

Explanation

(a) Five factors for the location of cement factory include:

(i) Presence of raw materials e.g limestone

(ii) Presence of large market

(iii) Source of power e.g H.E.P

(iv) Availability of capital

(v) Adequate transportation networks

(b) Three problems facing cement factories are:

(i) Inadequate capital to procure machinery

(ii) Inadequate spare parts to service machines

(iii) Inadequate transportation network.

Correct Answer: A) armour of light

Explanation

In the book of Romans, Paul encourages all Christians to reject activities that are associated with darkness and instead clothe themselves with something called the armour of light. This means that Christians should strive to live in a way that reflects the goodness and righteousness of God, rather than indulging in sinful behavior that leads away from God.

The question asks which of the listed options is the correct phrase that Paul uses in Romans to describe this armour of light. The correct answer is Option A: armour of light. This phrase is used by Paul in Romans 13:12, where he urges Christians to put on the armour of light.

It's important for Christians to remember the significance of this message from Paul. By living a life that reflects God's light, Christians can bring hope and positivity to the world around them, and help to combat the darkness that can sometimes seem overwhelming.

To learn more about this topic, please read the relevant sections of your Christian Religious Knowledge textbooks.

Correct Answer: A) 3 cm

Correct Answer: D. deficit budget

Explanation

(a) since the curved surface areas were the same, it was expected that they have 5 x 12\(pi\) = 6 \(\pi\)l and solving for the slant height to get l = 10 cm.

Then by the use of Pythagoras theorem, the height of the second cone is h\(^2\) = 10\(^2\) - 6\(^2\) and when simplified will result in h = 8 cm.

(b(i), they were to find BA = \(\begin{pmatrix} 3 & -2 \\4 & 1\end{pmatrix}\) \(\begin{pmatrix} 2 & 5 \\ -1 & -3\end{pmatrix}\) = \(\begin{pmatrix} 8 & 21 \\ 7 & 17 \end{pmatrix}\)

(b)(ii), the determinant of BA = (8 x 17) - (21 x 7) = 136 - 147 = -11

Correct Answer: D. oxygen

Explanation

(a)Erosion is the dislodging of sediments that initiates their movement. Particles may then be moved away by sediment transport agents such as wind, water, glaciers, etc. Mass movement refers to earth materials moving downslope under the influence of gravity, as in rockslides, mudflows, slumps, etc.

(b)*erosion

*deposition

*weathering

*biological influance

(c)*Composition of Slope Material

*Weight and Friction of Slope

*Regional Climate Conditions

Correct Answer: B. stateless society