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

Hibiscus rosa-sinensis (China rose) is a flowering plant of the Malvaceae family.

This family is known for its characteristic funnel-shaped flowers and mucilaginous properties.

Explanation

Activation energy is the minimum energy needed to start a chemical reaction by breaking bonds in reactants.

It determines reaction rates (lower = faster).

Explanation

Elements like Cr (24), Cu (29), and Mo (42) show irregular configurations due to extra stability of half-filled or fully filled d-orbitals.

Examples:

• Cr: [Ar] 3d⁵ 4s¹
• Cu: [Ar] 3d¹⁰ 4s¹
• Mo: [Kr] 4d⁵ 5s¹

Explanation

The cochlea is a spiral, snail-shaped structure in the inner ear responsible for converting sound vibrations into nerve signals.

It plays a key role in the sense of hearing.

Explanation

To find the equilibrium constant (Kc) for the reaction H₂ (g) + I₂ (g) ⇌ 2HI (g), we use the formula:

Kc = [HI]² / [H₂] [I₂]

Given concentrations:

[HI] = 0.08 mol/dm³

[H₂] = 0.04 mol/dm³

[I₂] = 0.04 mol/dm³

Kc = (0.08)² / (0.04 × 0.04)

= 0.0064 / 0.0016

= 4

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.