The third child must be a student, as stated in the question.

The children are siblings to each other and children of the parents.

Ethanol produced per kg of glucose = 1.5 kg / 2 kg = 0.75 kg. For 8 kg of glucose, ethanol produced = 0.75 kg * 8 kg = 6 kg.

An inode is a data structure that stores metadata about a file, such as its size and location.

Using the first-order rate equation, k = (ln[A₀] - ln[A]) / t. Here, k = (ln(0.8) - ln(0.2)) / 20 = 0.0347 min⁻¹.

In a first-order reaction, the half-life is independent of the concentration of the reactant, so it remains the same.

In a first-order reaction, the half-life is constant, which indicates that the rate constant remains constant.

t₁/₂ = 0.693 / k = 0.693 / 0.03 = 23.1 min.

The pressure at a depth h in a fluid is given by P = ρgh, where ρ is the fluid density and g is the acceleration due to gravity.

In a fluid at rest, the pressure at a point depends on the depth of the fluid above that point.

In a fluid at rest, the pressure at a point depends on the height of the fluid column above it, as described by hydrostatic pressure.

Laminar flow refers to fluid motion in parallel layers with no disruption between them.

Increasing the temperature generally decreases the viscosity of a fluid, making it flow more easily.

While temperature, pressure, and fluid composition affect viscosity, fluid density does not directly affect viscosity.

In a fluid, pressure increases with depth due to the weight of the fluid above.

Hydrostatic head is the height of a fluid column that exerts a certain pressure, calculated as pressure divided by the density and gravitational acceleration.

Surface tension is the property of a fluid that causes its surface to behave like a stretched elastic membrane.

A rabbit is a primary consumer as it feeds on plants (producers).

The correct order of energy flow in a food chain is Producer → Consumer → Decomposer.

Primary producers are organisms that produce their own food, primarily plants through photosynthesis.

Tertiary consumers are at the top of the food chain as they are the top predators.

Total goals = average goals per match * number of matches = 2 * 12 = 24 goals.

Total goals scored = 3 + 2 = 5. The ratio of goals in the first half to total goals is 3:5.

Total goals scored = 3 + 2 = 5. The ratio of goals in the first half to total goals is 3:5.

The player scores at a rate of 5 goals / 3 matches = 5/3 goals per match. In 12 matches, he will score (5/3) * 12 = 20 goals.

When the driving frequency equals the natural frequency, resonance occurs, leading to maximum amplitude.

Ratio = driving frequency / natural frequency = 5 Hz / 4 Hz = 1.25.

Increasing the amplitude of the driving force generally increases the amplitude of the oscillation in a forced system.

Energy is proportional to the square of the amplitude, so if amplitude is doubled, energy increases by 2^2 = 4 times.

Maximum amplitude occurs when the driving frequency is equal to the natural frequency.