Explanation

Realist Curriculum is grounded in the belief that reality exists independently of human perception.

It emphasizes teaching factual knowledge and objective truths derived from the external world.

Explanation

Passage

Hazrat Muhammad (PBUH) knew that goodwill and all the actions of people were necessary for an Islamic state. Hazrat Muhammad (PBUH) knew tolerance was necessary to bring different communities together. With all these objectives in mind, Hazrat Muhammad (PBUH) drafted a charter which is generally known as the Medina Charter.

1. The first sentence of the paragraph is in _____?

Past Tense

2. Communities is a/n ____?

Noun

3. Necessary is a/n _____?

Adjective 

Explanation

The Axiom of Choice is a fundamental principle in set theory that states you can select an element from each set in a collection of nonempty sets, even without a specific rule.

It is essential for many proofs in mathematics but is independent of other axioms of set theory.

Explanation

Creativity involves producing ideas or products that are both original and useful/adaptive.

It reflects innovative thinking and problem-solving skills.

Explanation

Geometric Mean = ∛(2 × 4 × 8)

= ∛64

= 4

Explanation

Given lim x → 1⁺ (2 + √x - 1)

As x approaches 1 from the right:

√x approaches √1 = 1

So, √x - 1 approaches 1 - 1 = 0

2 + 0 = 2

The limit is 2.

Explanation

Spring potential energy is given by U = 1/2kx².

If stretching to distance S gives 10 J, then to stretch to 2S, the energy becomes 1/2k(2S)² = 4×10 = 40 J.

So, additional work =  40−10 = 30 J.

Explanation

The phrase "washing my face" uses the correct possessive form "my."

The article "the" is necessary before "mirror" to make the sentence grammatically correct.

Explanation

Copper, silver, aluminum, gold, steel, and brass are common conductors of electricity.

The most highly conductive metals are silver, copper, and gold

Silver is the first-best conductor of heat.

Copper is the second-best conductor of heat.

Explanation

The relation between work (W) done and torque (τ) in rotational motion is:

W = τdθ

Where:

- W is the work done

- τ is the torque

- dθ is the angular displacement

This shows that work done in rotational motion is the product of torque and angular displacement.