Correct Answer: D. peptidoglycan

Explanation

Bacterial cell walls are composed of peptidoglycan, a protein and sugar moiety.

Correct Answer: B. Abidjan

Explanation

Traditionally, Abidjan in Cote d' Ivoire has been Mali's main seaport, handling as much as 70 percent of Mali's trade (except for gold export)

Explanation

a)(i) It is a measure of the tendency of an element to form ions in solution relative to the tendency of hydrogen atoms to form ions in solution at standard conditions (at 298K and 1 atom and 1 molar concentration)

(ii) Concentration, Temperature, Pressure.

— To predict the direction/feasibility of a chemical reaction

— To calculate the e.m.f of a cell

— To predict the standard potential of unknown elements.

(v) = Emf = E°(Right) — E°(Left)

= + 0.34 — (— 0.76) V

= +1.10V

(b)(i) I Oxidation — a process of electron loss

II. Oxidizing agent—an electron acceptor

(ii) Separate into half reactions

(c) (i) Neutral (ii) Acidic (iii) Amphoteric (iv) Basic

(d) Hydrogen bonding is an intermolecular force between molecules in which hydrogen is attached to a very electronegative atom which has a small size, e.g. N, O, F.

Correct Answer: C. Le 3,600,000.00

Explanation

sectoral angle representing food

= 360^o - (80 + 70 + 90)^o

= 120^o

Amount spent on food

= \(\frac{\tect{sectoral angle}}{360^o}\) x Le 10,800,000

= Le 3,600,000

Explanation

(a) \(S_{n} = \frac{5n^{2}}{2} + \frac{5n}{2}\)

\(S_{1} = \frac{5(1^{2})}{2} + \frac{5(1)}{2} = 5 \implies T_{1} = 5\)

\(S_{2} = \frac{5(2^{2})}{2} + \frac{5(2)}{2} = 10 + 5 = 15\)

\(S_{3} = \frac{5(3^{2})}{2} + \frac{5(3)}{2} = 30\)

\(S_{4} = \frac{5(4^{2})}{2} + \frac{5(4)}{2} = 50\)

\(T_{2} = S_{2} - S_{1} = 15 - 5 = 10\)

\(T_{3} = S_{3} - S_{2} = 30 - 15 = 15\)

\(T_{4} = 50 - 30 = 20\)

The first four terms are 5, 10, 15 and 20.

This is a linear sequence with d = 5.

\(T_{n} = a + (n - 1)d\)

= \(5 + (n - 1)5 \implies T_{n} = 5 + 5n - 5 = 5n\)

(b) \(x^{2} + y^{2} - 10x - 8y + 25 = 0\)

For circle to touch x- axis, the distance from centre of circle to the x- axis must be equal to the radius.

\(x^{2} + y^{2} - 10x - 8y + 25 = 0\)

\(2g = -10, g = -5\)

\(2f = -8 , f = -4\)

Centre = (-g, -f) = (5, 4).

\(Radius = \sqrt{g^{2} + f^{2} - c} = \sqrt{(-5)^{2} + (-4)^{2} - 25} = 4\)

\(|PQ| = \sqrt{4^{2}} = 4\)

Since PQ = radius, circle touches x- axis.

Correct Answer: D. must not

Explanation

(a) (i) \(F_{1} = \begin{pmatrix} -5 & 4 \end{pmatrix} N; F_{2} = \begin{pmatrix} 2 \\ 5 \end{pmatrix} N; F_{3} = \begin{pmatrix} 2 & -1 \end{pmatrix} N ;F_{4} = \begin{pmatrix} 3 & -5 \end{pmatrix} N\)

\(R = \begin{pmatrix} -5 & 4 \end{pmatrix} N + \begin{pmatrix} 2 \\ 5 \end{pmatrix} N + \begin{pmatrix} 2 & -1 \end{pmatrix} N + \begin{pmatrix} 3 & -5 \end{pmatrix} N = \begin{pmatrix} 2 \\ 3 \end{pmatrix} N\)

(ii) Let the fifth force be F.

\(F + \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \begin{pmatrix} 0 \\ 0 \end{pmatrix}\)

\(F = \begin{pmatrix} -2 \\ -3 \end{pmatrix}\)

(b) (i)

Acceleration = a = 2.5 ms\(^{-2}\),

Let retardation be r ms\(^{-2}\).

\(a : r = 3 : 4\)

\(\therefore r = \frac{4}{3} \times 2.5 = 3\frac{1}{3} ms^{-2}\)

(ii) We use the formula \(v = u + at\) for the retardation period.

\(v = 0 m/s ; u = 30 m/s ; a = -3\frac{1}{3} m/s^{2} ; t = ?\)

\(0 = 30 - \frac{10}{3} t \)

\(t = \frac{30 \times 3}{10} = 9 secs\)

(iii) Total distance = area under graph.

\(A_{1} = \frac{1}{2} (4)(20 + 30) = 100m\)

\(A_{2} = 30 \times 8 = 240m\)

\(A_{3} = \frac{1}{2} (9) (30) = 135m\)

Total distance = 100m + 240m + 135m = 475m.

Correct Answer: c. 512.5cm

Correct Answer: D) council in Jerusalem

Explanation

The statement Unless you are circumcised according to the custom of Moses, you cannot be saved was made by some men from Judea. This caused the convening of a council in Jerusalem. The question is asking which council was convened. The options are church in Jerusalem, council of elders, church in Judea, and council in Jerusalem. The correct option is D, council in Jerusalem.

This statement caused controversy among the early Christian believers, as some believed that circumcision was necessary for salvation. The council in Jerusalem was convened to discuss this issue and make a decision. The apostles and elders of the church came together to discuss and pray about the matter. They ultimately decided that circumcision was not necessary for salvation, and that salvation comes through faith in Jesus Christ.

This decision was important for the growth and spread of Christianity, as it allowed for non-Jewish believers to be accepted into the faith without having to follow Jewish customs such as circumcision. It also emphasized the importance of faith in Jesus Christ as the means of salvation, rather than following a set of rules or customs.

In summary, the statement made by some men from Judea caused the convening of a council in Jerusalem to discuss whether circumcision was necessary for salvation. The correct option for the question is D, council in Jerusalem. The decision made by the council emphasized the importance of faith in Jesus Christ as the means of salvation.

Correct Answer: B) a social responsibility of the business

Explanation

The correct answer is Option B: a social responsibility of the business.

In commerce, businesses have a social responsibility to protect the public from questionable products and marketing practices. This means that businesses should ensure that their products are safe and that their marketing practices are fair and honest. This is important to protect consumers from harm and to build trust between businesses and the public.

While economics, legal, and political aspects are also relevant to business operations, the protection of the public against questionable products and marketing practices is primarily a social responsibility. Businesses have a duty to act in the best interests of society and to prioritize the well-being of consumers.

To learn more about this, please read the relevant sections of the recommended textbooks.