Correct Answer: C. take quick decisions

Correct Answer: B. sublimation

Correct Answer: A. Generated without cost

Correct Answer: B) carbon (IV) oxide

Correct Answer: C. Causing a change in the equilibrium portion of a reversible reaction

Explanation

Let's analyze each option:

• A. Altering the rate of a chemical reaction: This is the primary function of a catalyst. Catalysts increase (or sometimes decrease, in the case of inhibitors) the rate of a reaction. So, this property *is* exhibited by catalysts.

• B. Same mass and composition of the end of reaction: This is a defining characteristic of a catalyst. Catalysts participate in the reaction mechanism but are regenerated at the end, meaning their mass and chemical composition remain unchanged. So, this property *is* exhibited by catalysts.

• C. Causing a change in the equilibrium portion of a reversible reaction: Catalysts speed up both the forward and reverse reactions equally. While they help the system reach equilibrium faster, they *do not* change the equilibrium position or the equilibrium constant (K) of a reversible reaction. So, this property is not exhibited by catalysts.

• D. Causing off a reaction which will normally not occur: Catalysts cannot initiate a reaction that is thermodynamically impossible or non-spontaneous. They only lower the activation energy for reactions that are already thermodynamically feasible (i.e., will occur eventually, even if very slowly). They cannot make an unfavorable reaction happen. So, this property is not exhibited by catalysts.

Therefore, the properties *not* exhibited by catalyst is C.

The final answer is C

Correct Answer: A. 0.25 m

Explanation

T = 2\(\pi\) \(\sqrt\frac{L}{g}\)

1 = 2 x 3.142\(\sqrt\frac{L}{10}\)

(since the pendulum pass its lowest point twice in a second, hence the frequency is 1 and period T= \(\frac{1}{F}\))

L= 0.25m

Explanation

(a) A tax is a compulsory levy imposed by the government or its agency on individuals, companies or on goods and services.

(b)(i) A progressive tax is one in which as the level of income rises, tax rate also rises.

(ii) A tax is proportional when all tax payers pay the same percentage as tax irrespective of their levels of income.

(iii) A regressive tax is one in which as the level of income rises, the rate of tax rather falls, thus the higher the income earners are taxed at lower rates than lower income earners.

(c)(i)Equity: This means fairness and states that taxes should be based on ability to pay in order not to cause hardship to the payer.

(ii)Convenience: The payment of the tax should be convenient to the eax payer i.e time and method of payment should be convenient.

(iii)Economy: The cost of collecting the tax should be small in relation to the revenue obtained from the tax.

Correct Answer: A. feed the people with knowledge and understanding

Correct Answer: A. II, I, IV, V and III

Correct Answer: B. \(\frac{1}{10}\)

Explanation

Let the number of mixed schools be S

The number of boys only = 42 - S

The number of girls only = 35 - S

(42 - S) + S + (35 - S) = 77 - S = 70

\(\implies\) S = 7

\(Probability = \frac{7}{70} = \frac{1}{10}\)