Correct Answer: A. less of the other goods is produced

Explanation

A production possibility curve (PPC) is a curve which shows various combinations of the amounts of two goods which can be produced within the given resources. It shows that, as a firm produces more of a particular good, less of the other combination would be produced. For instance, if two different products say X and Y are meant to be produced from a particular raw material, if the producer produces more of commodity X from the available material, the materials used in the production of commodity Y would be less. The producer can decide to produce equal amount of each product, but if more of one is produced, less of the other product would be produced.

Correct Answer: A) their passions

Explanation

The question is asking about what James, a figure in the Christian faith, believes is one of the causes of wars among Christians. The options are A) their passions, B) their wickedness, C) their faith without work, and D) their pride. The correct answer is A) their passions.

James was a leader in the early Christian church and wrote a letter to the members of the church about the importance of putting their faith into action. In this letter, he talks about how conflicts and wars can arise among Christians due to their passions. Passions refer to strong emotions or desires that can lead to selfishness and conflicts with others. James advises Christians to control their passions and instead focus on living a peaceful and righteous life.

It is important for Christians to understand the teachings of James and strive to live a life that aligns with the values of their faith. By controlling their passions and focusing on peace, Christians can avoid conflicts and contribute to a more harmonious world.

Correct Answer: B. zero

Explanation

When total utility is constant, it means marginal utility is zero. Total utility is constant when it is at its maximum, then marginal utility will be Zero. It is based on the law of diminishing marginal utility which says 'as more and more units of a good are consumed, MU i.e level of satisfaction derived from each successive unit goes on falling because desire for that commodity tend to fall. Once the total utility is constant, marginal utility will be zero.

Correct Answer: C. 60cm²

Explanation

|VU| = |UT| = |TS|

|VS| = (4.8) x 3 = 14.4cm

|PQ| = |QR| = 4.8

|PR| = (4.8) x 2 = 9.6cm

Since quad. PRSV is a trapezium of height 5cm

Area of quad. PRSV = \(\frac{1}{2}(a + b)h\)

= \(\frac{1}{2}(14.4 + 9.6) \times 5\)

= \(\frac{1}{2}(24) \times 5\)

12 x 5 = 60cm²

Explanation

(a) (i) The cations and anions attract the polar water molecules the energy released as the ion-dipole forces are formedprovides the energy to break the electrostatic forces of attraction between the oppositely charged ions in the potassium chloride.

OR

The water molecules split KCl into free ions with a release of energy known as lattice energy. The free ions are hydrated/surrounded by water molecules. This is known as the hydration energy.

(ii) More energy is needed to overcome the ion-ion attraction hence the

dissolution process is endothermic /

OR

lattice energy is greater than hydration energy.

(b) (i) Magnesium is more reactive than iron therefore magnesium reacts

preferentially / acts as a sacrificial anode.

(ii) Iron oxidizes to Fe\(^{2+}\) by oxygen and water to give Iron (II) hydroxide / Fe\(^{2+}\) and

OH\(^-\) formed. Further oxidation gives hydrated Iron (III) oxide / Fe2O\(_3\).xH\(_2\)O

(iii) Presence of (dissolved) oxygen / air

(c) (i) It is a reaction that occurs without being driven by some outside / external force.

(ii)

- G must be negative

- the products are more random, more disorganized than the reactants /

entropy of products is greater than entropy of reactants / entropy must increase

(iii) Sodium is in Group I and is more reactive metal than calcium that is in

Group II. / sodium is more electropositive than calcium / higher in the reactivity series

(iv)

(d) Mr (PbCO\(_3\)) = 207 + 12 + 16(3)

= 267g mol\(^{-1}\)

(e)

(i) van der Waal’s forces

(ii) hydrogen bonding

Correct Answer: C. over population

Correct Answer: C. have a higher gross profit

Correct Answer: A. competing demand for scarce resources

Explanation

No. of red = 10, No of green = 8

Total = 18

P(RG) = P(R) x P(G)

= \(\frac{10}{18} \times \frac{8}{17} = \frac{40}{152}\)

P(GR) = P(G) x P(R)

= \(\frac{8}{18} \times \frac{10}{17} = \frac{40}{153}\)

P(one red and one green)

= \(\frac{40}{153} + \frac{40}{153} = \frac{80}{153}\)

(b) P = 20% = \(\frac{20}{100}\) = 0.2

q = 1 - P = 1 - 0.2 = 0.8

n = 12

P(2 \(\leq x \leq 5\)) = P(5) - P(2)

= \(^{12}C_5(0.5)^5 (0.8)^7 - ^{12}C_2(0.2)^2(0.8)^{10}\)

= 792 x (0.2)\(^5\) (0.8)\(^7\) - 65(0.2)\(^2\)(0.8)\(^10\)

= 0.04892 - 0.2791

= 0.2302

Correct Answer: D. oxygen