Correct Answer: C. sums up a play

Correct Answer: C. (x + 5y)(5x + y)

Correct Answer: D) precipitate

Correct Answer: C) fats and protein

Explanation

Protein digestion occurs in the stomach and duodenum in which 3 main enzymes, pepsin secreted by the stomach and trypsin and chymotrypsin secreted by the pancreas, break down food proteins into polypeptides that are then broken down by various exopeptidases and dipeptidases into amino acids. Lipid digestion begins in the stomach with the aid of lingual lipase and gastric lipase. However, the bulk of lipid digestion occurs in the small intestine due to pancreatic lipase.

Correct Answer: D. be filled with the Holy Spirit

Explanation

(a) Effects of rural-urban migration on agricultural production: (i) scarcity of labourers leading to high labour cost (ii) high cost of labour will lead to high cost of production (iii) decreased food and cash crop production (iv) decreased animal production (v) decrease in export and hence GDP (Gross Domestic Product) (vi) poor adoption of agricultural innovations.

(b)(i) Effect of demand on production given a constant supply situation: (1) increase in demand results in increase in agricultural production and (2) decrease in demand results in decrease in agricultural production. (ii) Effect of supply on production given a constant demand: (1) demand is directly proportional to income such that more demand means more income and (2) less demand leads to less income.

(c)(i) Effect of demand on farmers' income when price is constant: (1 )demand is directly proportional to income such that more demand means more income and (2) less demand leads to less income (ii) Effects of supply on farmer's income when demand is constant: (1) increased supply decreases income as prices fall and. the perishable produce will waste away and (2) decrease in supply leads to higher income as price rises.

(d) Roles of a manager in a farm enterprise: (1) plans when and what to produce/decision making (2) supervises the duties of staff (3) co-ordination of farm activities (4) ensures effective combination of resources (5) determines the quantity of and what to sell and buy/ farm gate price (6) determines for how much a produce should be sold (7) ensures adequate record keeping (8) supervises the accounting system (9) budgets for the farm (10) organizes various tasks of the farm enterprise.

Correct Answer: C. Zamfara State

Correct Answer: B. professionals are involved

Correct Answer: D. pluto

Explanation

v = 0 m/s ; u = 30 m/s ; s = ? ; g = 10 m/s\(^{2}\).

(a) For maximum height, we use the formula

\(v^{2} = u^{2} - 2gs\)

\(s = \frac{u^{2} - v^{2}}{2g}\)

= \(\frac{30^{2} - 0^{2}}{2(10)}\)

= \(\frac{900}{20} = 45m\)

(b) Time to reach highest point:

\(v = u - gt \implies t = \frac{u - v}{g}\)

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

If the particle took 3s to get to the maximum height,

Time to reach the ground = 2(3) = 6s.

(c) From a height 40m above the ground, we use

\(s = ut - \frac{1}{2} gt^{2}\)

\(40 = 30t - 5t^{2}\)

\(5t^{2} - 30t + 40 = 0\)

\(5t^{2} - 20t - 10t + 40 = 0 \implies 5t(t - 4) - 10(t - 4) = 0\)

\((5t - 10)(t - 4) = 0 \implies \text{2s and 4s}\)

\(\therefore\) At times 2s and 4s, the height attained = 40m.