To differentiate x², the power rule states that you multiply by the exponent and subtract one from the exponent, resulting in 2x. This fundamental rule is essential in calculus for finding derivatives of polynomial functions.

Mitochondria are known as the powerhouse of the cell because they generate ATP through cellular respiration. This energy production is crucial for powering various cellular activities.

George Washington served as the first President of the United States. His leadership set many precedents for the new government.

Hyperbole involves exaggerated statements that are not meant to be taken literally but to create emphasis. This device is widely used in literature to convey strong emotions.

H₂O is the chemical formula for water, comprising two hydrogen atoms and one oxygen atom. It is one of the most essential compounds for life on Earth.

Subtract 3 from both sides to obtain 2x = 8, then divide by 2 to solve for x = 4. This linear equation demonstrates basic algebraic techniques.

Fe is the chemical symbol for Iron, derived from its Latin name 'ferrum'. The other options do not correspond to the symbol 'Fe' on the periodic table.

A sonnet is a poetic form that contains 14 lines with a set rhyme scheme, typically written in iambic pentameter. Other poetic forms like haiku and limerick have different line counts and rhythmic structures.

Newton's Third Law of Motion explains that every action force has an equal and opposite reaction force. This principle is critical for understanding interactions between objects.

Osmosis is the process by which water moves passively through a semipermeable membrane from a region of low solute concentration to a region of high solute concentration. It is distinct from diffusion, which generally refers to the movement of solutes.

The assassination of Archduke Franz Ferdinand in 1914 set off a chain reaction among European nations, leading to World War I. The other events mentioned occurred in different historical contexts.

The area of a triangle is calculated using the formula ½ × base × height, which in this case is ½ × 10 cm × 5 cm = 25 cm². This formula is a basic geometric concept.

A first-person narrative is characterized by the use of the pronoun 'I' since the story is told from the speaker's perspective. This approach creates a personal connection to the events being described.

Nitrogen makes up about 78% of Earth's atmosphere, making it the predominant gas. The other gases are present in much smaller quantities.

To find the inverse, switch x and y in the equation y = 3x + 2 and solve for y, resulting in f❻¹(x) = (x - 2) / 3. This inverse function, when composed with the original, returns the input value.

The quadratic factors neatly into (x - 2)(x - 3) = 0, yielding solutions x = 2 and x = 3. Factoring is an efficient way to solve simple quadratic equations.

Average acceleration is computed as the change in velocity divided by the time taken, so (20 m/s - 0 m/s) / 10 s equals 2 m/s². This basic kinematics formula is essential in physics.

At 25°C, a neutral solution, such as pure water, has a pH of 7, meaning the concentration of hydrogen ions equals that of hydroxide ions. This balance is characteristic of neutrality in aqueous solutions.

The cross between Aa and aa produces offspring that are either heterozygous (Aa) or homozygous recessive (aa) in equal proportions, resulting in a 1:1 ratio. This outcome is a basic example of Mendelian inheritance.

The Stock Market Crash of 1929 is widely viewed as the primary catalyst that led to the economic crisis known as the Great Depression. Although other factors played roles, the crash severely undermined economic confidence and stability.