Correct Answer: C. \(\begin{bmatrix} 4&0\\0&4\end{bmatrix}\)

Explanation

\(P : (x, y) → (2x + y, -2y)\)

\(p\begin{bmatrix} x\\y\end{bmatrix}=\begin{bmatrix} 2x & y\\0 &-2y\end{bmatrix}\)

\(\therefore p = \begin{bmatrix} 2 & 1\\0 &-2\end{bmatrix}\)

\(\therefore p^2 = \begin{bmatrix} 2&1\\0&-2\end{bmatrix}\) \(\begin{bmatrix} 2&1\\0&-2\end{bmatrix}\) = \(\begin{bmatrix} 4&0\\0&4\end{bmatrix}\)

Correct Answer: C. 20

Correct Answer: B. lend to poor countries

Correct Answer: C. the kettle covered with soot cools down more quickly because it is a good radiator

Correct Answer: D) separates the soap from the glycerol

Correct Answer: C. collection

Explanation

collection; a group of things or people.

Harry cannot do without his collection of short stories because he loves reading.

Correct Answer: B. \(-6\frac{1}{12}\)

Explanation

\(3x^{2} - x - 6 = y\)

\(a = 3, b = -1, c = -6\)

Minimum value of x = \(\frac{-b}{2a} = \frac{-(-1)}{6} = \frac{1}{6}\)

\(y(\frac{1}{6}) = 3(\frac{1}{6}^{2}) - \frac{1}{6} - 6 = -6\frac{1}{12}\)

Explanation

(a)Transpiration: - This is the loss of water; in vapour form; from the aerial parts/stomata/lentice/stem/leaf of a petal.

(b) (i) Types of transpiration: - stomatal transpiration. - lenticular transpiration - cuticular transpiration

(ii) Factors affecting rates of transpiration: - light intensity/light - temperature - wind - availability of soil water/water -humidity - leaf surface area - leaf structure/thick cuticle - sunken stomata/hairy/spiny - root system (deep/shallow roots)

(c) Mechanism of stomata! opening: -

• when the solute concentration of the guards cells is high.
• water flows from neighboring epidermic/cells into the guard cells.
• by osmosis
• the volume and turgidity of the guard cells increase
• the thin outer walls of the guard cells stretch more than thicker inner walls.
• causing the guard cells/stomata to open
• when the solute concentration is low.
• water flows out of the guard cells by osmosis.
• the volume and turgidity decrease causing the guard cell to become flaccid; and the stomatal pore is closed.

(d) (i) Similarities between transpiration and sweating: -

• Both involve loss of water from the body of the organism.
• both processes result in cooling.
• water is lost through pores.

(ii) Differences:

Correct Answer: D. bill of lading

Explanation

A bill of lading a document issued by a carrier that lists goods being shipped and specifies the terms of their transport. Note: A bill of lading serves as a receipt for the goods, a contract for the transport of the goods, and a document of title showing that the person in possession of the bill has title to the goods.

Correct Answer: D. religious tolerance