Correct Answer: C. \(\frac{x + 2y}{3}kmh^{-1}\)

Explanation

Travelled x km/h for 1 hour \(\therefore\) traveled x km in the first hour.

Traveled y km/h for 2 hours \(\therefore\) traveled 2y km in the next 2 hours.

Average speed = \(\frac{x + 2y}{1 + 2}\)

= \(\frac{x + 2y}{3} kmh^{-1}\)

Correct Answer: D. harnattan

Correct Answer: D. had been

Correct Answer: B) phenotype

Explanation

An organism's physical observable characteristics are referred to as its phenotype. This includes traits such as eye color, hair color, height, and other physical features that can be seen or measured. The phenotype is determined by both genetic and environmental factors. Genes provide instructions for the development of an organism's physical traits, but the expression of those genes can be influenced by environmental factors such as nutrition, temperature, and exposure to toxins. In contrast, an organism's genotype refers to its underlying genetic makeup, which includes all of its genes, whether or not they are expressed. Alleles are different versions of the same gene, while a locus is the specific location of a gene on a chromosome. Therefore, the correct answer to this question is option B, phenotype, as it refers specifically to an organism's physical observable characteristics.

Correct Answer: D. zymase

Explanation

The correct answer is D. zymase.

During the process of fermentation, zymase (an enzyme complex naturally found in yeast) catalyzes the breakdown of glucose into ethanol and carbon (IV) oxide (CO_2):

C_6H_{12}O_6 \xrightarrow{zymase} 2C_2H_5OH + 2CO_2

• Diastase converts starch into maltose.

• Maltase converts maltose into glucose.

• Ptyalin (salivary amylase) converts starch into simpler sugars like maltose.

Correct Answer: D. sovereignty

Correct Answer: D. Pentylethanoate

Explanation

The correct answer is D. Pentylethanoate.

Esters are well known for having pleasant, fruity smells and are commonly used as artificial flavourings. Pentylethanoate (also known as pentyl acetate or amyl acetate, closely related to isoamyl acetate) is often called banana oil because it has a strong, characteristic scent and taste of bananas.

• Methylbenzene (toluene) is a toxic industrial solvent with a paint-like odour.

• Butanol and ethanol are alcohols with characteristic alcoholic/chemical odours rather than a fruity banana flavour.

Correct Answer: C) NADPH and ATP are synthesized using electron released from water

Explanation

During photosynthesis, plants undergo two main processes: light-dependent reactions and light-independent reactions. The light-dependent reactions occur in the thylakoid membranes and require light energy to produce ATP and NADPH, which are used in the light-independent reactions. The given question focuses on the light-dependent reactions and asks what happens during this process. Option A, glucose formation, occurs during the light-independent reactions. Option B, carbon IV oxide fixation, occurs during the Calvin cycle, which is also part of the light-independent reactions. Option D, splitting of water and using the electrons for glucose synthesis, is not a correct statement. Therefore, option C is the correct answer. During the light-dependent reactions, photosystem II absorbs light energy and uses it to split water molecules into oxygen, hydrogen ions, and electrons. The electrons are then passed through a series of electron carriers, which ultimately results in the synthesis of ATP and NADPH. These energy-rich molecules are then used in the light-independent reactions to produce glucose.

Correct Answer: A. Ophelia

Explanation

(a) \(T_{n} = 4T_{n - 1} - 3\)

\(T_{3} = 4T_{2} - 3 ; T_{2} = 4T_{1} - 3\)

\(2T_{3} = 5T_{2} \implies T_{3} = \frac{5}{2} T_{2}\)

\(\frac{5}{2} T_{2} = 4T_{2} - 3 \implies 3 = \frac{3}{2} T_{2}\)

\(T_{2} = \frac{3}{\frac{3}{2}} = 2\)

\(2 = 4T_{1} - 3 \implies 5 = 4T_{1}\)

\(T_{1} = \frac{5}{4}\)

\(2T_{3} = 5(2) = 10\)

\(T_{3} = 5\)

The first three terms of the sequence are \(\frac{5}{4}, 2, 5\).

(b) \(\begin{pmatrix} 2 & 0 & 1 \\ 5 & -3 & 1 \\ 0 & 4 & 6 \end{pmatrix} \begin{pmatrix} 1 \\ m \\ r \end{pmatrix} = \begin{pmatrix} k \\ 2 \\ 26 \end{pmatrix}\)

\(\begin{pmatrix} 2(1) + r \\ 5(1) - 3m + r \\ 4m + 6r \end{pmatrix} = \begin{pmatrix} k \\ 2 \\ 26 \end{pmatrix}\)

\(2 + r = k ... (1)\)

\(5 - 3m + r = 2 \implies 3m - r = 3 ... (2)\)

\(4m + 6r = 26 ... (3)\)

\((2) \times 6 : 18m - 6r = 18\)

\((2) + (3) : 22m = 44 \implies m = 2\)

\(4(2) + 6r = 26 \implies 6r = 18\)

\(r = 3\)

\(2 + r = k \implies 2 + 3 = 5\)

\((k, m, r) = (5, 2, 3)\).