Correct Answer: A. a 'b = b 'a

Explanation

A binary operation '*' defined on a set A is said to be commutative only if a*b=b*a, ∀a, b∈A.

If (a*b)*c=a*(b*c), then the operation is said to associative ∀ a, b∈ A.

If (b ο c)*a=(b*a) ο (c*a), then the operation is said to be distributive ∀ a, b, c ∈ A.

Correct Answer: D. Memorandum of Association

Correct Answer: A. \((x + 3) and (x - 2)\)

Explanation

(x - 5) is a factor of \(x^3 - 4x^2 - 11x + 30\). To find the remaining factors, let's draw out \((x - 5)\) from the parent expression.

\(x^3 - 4x^2 - 11x + 30 = x^3 - 5x^2 + x^2 - 5x - 6x + 30\)

\(= x^2(x - 5) + x(x - 5) - 6(x - 5) = (x - 5)(x^2 + x - 6)\)

∴ To find the remaining factors, we factorize \((x2 + x - 6)\)

\(x^2 + x - 6 = x^2 + 3x - 2x - 6\)

\(= x(x + 3) - 2(x + 3) = (x + 3)(x - 2)\)

∴ The other two factors are \((x + 3) and (x - 2)\)

Correct Answer: B. the colonial legacy

Correct Answer: C. making of laws

Explanation

Major functions of modern government include (1) foreign diplomacy (2) making laws (3) maintenance of domestic order (4) administration of justice (5) protection of civil liberties (6) provision for and regulation of the conduct of periodic elections (7) provision for public goods and services (8) military defense

Correct Answer: A. Joystick

Correct Answer: C. with high concentration of salt

Correct Answer: C. Jedediah

Correct Answer: C. Bacteria → algae → mosses → ferns → seed plants

Correct Answer: A) Produced by many genes

Explanation

This question is asking about the characteristics of continuous variation. Continuous variation is when there is a wide range of possible values for a trait, rather than just a few discrete options. The question asks which of the following is not a characteristic of continuous variation. Option A says that continuous variation is produced by many genes, but this is actually a characteristic of continuous variation. This means that many different genes can influence the trait, leading to a wide range of possible values. Option B says that continuous variation is influenced by the environment, and this is a true characteristic of continuous variation. The environment can play a role in determining the trait, such as with height or weight. Option C says that continuous variation occurs in a normal distribution curve, and this is also true. A normal distribution curve is a bell curve shape that shows the range of values for a trait in a population. Option D says that most of the organisms in the population fall at the tail ends of the range, but this is not a characteristic of continuous variation. Instead, it is a characteristic of bimodal variation, where there are two distinct groups of values for a trait. Therefore, the correct answer is option A, which is Produced by many genes. This is not a characteristic of bimodal variation, but it is a characteristic of continuous variation.