Correct Answer: B. \(6(-\sqrt{3} i - j)\)

Explanation

\(F = F \cos \theta i + F \sin \theta j\)

\(r = (12, 210°) = 12 \cos 210 i + 12 \sin 210 j\)

= \(- 6\sqrt{3} i - 6j\)

= \(6(-\sqrt{3} i - j)\)

Correct Answer: A. aggregate views of the people

Explanation

Public opinion consists of the desires, wants and thinking of the majority of the people. It is the collective opinion of the people of a society or state on an issue or problem. This concept came about through the process of urbanization and other political and social forces.

Explanation

(1) body stature /posture/shape of body

(2) shape of head/nose/ ear

(3) size of nose/head/ear

(4) colour of skin/hair/eye

(5) characteristic of voice/speech

(6) intelligence

(7) height, blood group, baldness

(8) tongue rolling

(9) sickle cell anaemia.

(ii) Transmittable characters in plants are:

(1) height of plant

(2) size of fruit/ weight of fruit/size of leaf

(3) taste of fruit

(4) colour of leaf/flower/fruits/seeds

(5) resistance to environmental factors/diseases/pests/drought

(6) shape of leaf/seed coat or taste/fruit/flower

(7) leaf texture

(8) life span/habit of growth

(b) Contribution of genetics to improvement in Agriculture are:

(i) It has helped to develop high yielding varieties of plants and animals

(ii) development of early maturing varieties

(iii) improvement of quality of yield

(iv) development of disease resistant varieties through hybridisation/cross breeding.

crossing of F1 generation with homozygous short individuals.

(ii) The phenotypic ratio of offspring in F2 generation is 2:2.

(iii) The genotypic ratio of F2 generation is 2: 2

(d) The probability is 50% or ½. This is because

(i) The genotype of the plants is Tt

(ii) The plants therefore produce gametes of two kinds, T and t in equal number.

(iii) The probability that a gamete will contain T gene is 1 out of 2.

Explanation

(a)Dentition In Animals:Is the type/shapes, number, and arrangement of teeth in the mouth/jaws of animals

(b) Description of the Generalised Structure of a Tooth in Animals: -The tooth is made up of a crown. neck and root. -The visible part of the tooth in the crown. -And is covered by the hardest substances/enamel -The neck of the tooth is surrounded by the gum. -While the root is embedded in the jawbone. -Beneath the enamel is the hard dentine. -Which forms the bulk of the tooth in the pulp cavity. -Containing sensory endings of nerves/blood capillaries. -The cement/periodontal membrane covers the root of the tooth in the jawbone.

(c) Food Substances that Plants Manufacture from Glucose:-Sucrose/maltose-Starch -Cellulose -Oil-Proteins

(d) Diagram of an Experiment that Shows that Oxygen is Produced During Photosynthesis

Correct Answer: C. MCl₃

Correct Answer: B. Zea mays

Correct Answer: D. 0.125kg/day

Correct Answer: A. 27kg of nitrogen, 10kg of phosphate, 10kg of potash

Correct Answer: B. receives neither praise nor blame

Explanation

The anonymity of the civil service is linked to two concepts: permanence and neutrality. Civil servants, many of whom remain in their jobs whilst serving numerous governments, are likely to have to give advice to governments of different political parties, who may have different attitudes to policy.

The advice they give needs to be given to ministers both freely and also without fear of adverse public or political reactions and without fear of future career damage.

Correct Answer: B. complimentary