Correct Answer: D. (24 + 6π)cm

Correct Answer: B. conflict

Correct Answer: C. Provision of jobs

Correct Answer: C. proximate cause

Explanation

Proximate cause is an insurance principle that refers to the first event, or first peril, in a series of events that cause damage in an insurance claim.

Correct Answer: A. 8.34 x 10^-4

Correct Answer: (A) bailiff

Correct Answer: B. \(8\sqrt{3}\)

Explanation

\((1 + 2\sqrt{3})^{2} = 1 + 4\sqrt{3} + 12 = 13 + 4\sqrt{3}\)

\((1 - 2\sqrt{3})^{2} = 1 - 4\sqrt{3} + 12 = 13 - 4\sqrt{3}\)

\(13 + 4\sqrt{3} - (13 - 4\sqrt{3}) = 13 + 4\sqrt{3} - 13 + 4\sqrt{3}\)

= \(8\sqrt{3}\)

Explanation

(a) (i) \(y = px^{2} - 5x + q\)

From the table,

y = -12 when x = 0, i.e. \(-12 = p(0^{2}) - 5(0) + q\)

\(q = -12\).

y = 0 when x = 4, i.e. \(0 = p(4^{2}) - 5(4) + q\)

\(0 = 16p - 20 + q \implies 20 = 16p + q .... (1) \)

Substitute q = -12 in (1),

\(20 = 16p - 12\)

\(20 + 12 = 16p \implies p = \frac{32}{16} = 2\)

Equation : \(y = 2x^{2} - 5x - 12 \).

(ii) Given the equation \(y = 2x^{2} - 5x - 12\). The table becomes

(b)

(c) From the graph,

(i) When x = 1.8, y = -14.5 ; (ii) When y = -8, x = -0.65 or 3.15 or 3.2.

Correct Answer: D. manufacturer - consumer

Explanation

producer - consumer; This is the oldest, shorter and the simple channel of distribution. The producer sells the product directly without involvement of any middle man. The sale can be made door to door through salesman, retail stores and direct mail. Certain industrial and consumer goods such as clothes, shoes, books, hosiery goods, cosmetics, household appliances, electronic goods etc., may be sold through direct contact. Perishable goods such as vegetable and fruits can also be sold directly.

Correct Answer: C. activate the enzymes

Explanation

The water activates special proteins, called enzymes, that begin the process of seed growth.