Prime numbers are defined as numbers greater than 1 that have no divisors other than 1 and themselves.

Respiration in plants produces more energy than fermentation, as it fully oxidizes glucose in the presence of oxygen.

The RMS speed is always greater than the average speed for a distribution of speeds in a gas.

Solids have a definite shape and volume due to the closely packed arrangement of their particles.

Colligative properties depend on the number of solute particles, not their type.

Both statements are true; solutes affect the colligative properties of solvents.

Sound waves are longitudinal waves, meaning the particle displacement is parallel to the direction of wave propagation.

Strong acids completely dissociate in solution, producing a high concentration of H+ ions, which allows them to conduct electricity.

Surface tension generally decreases with an increase in temperature due to increased molecular motion.

Diversity in teams enhances creativity and leads to better problem-solving outcomes.

Effective leaders must be flexible and adaptive to guide their teams through challenges and changes.

The Pigeonhole Principle states that if n items are put into m containers, with n > m, then at least one container must contain more than one item.

The area of a regular polygon can indeed be calculated using the formula A = (1/4) * n * s^2 * cot(π/n), where n is the number of sides and s is the side length.

The Arrhenius equation relates temperature to the rate constant and includes the activation energy.

In the Bohr model, energy levels are quantized, meaning electrons can only exist in specific energy states.

In the Bohr model, only certain orbits (or energy levels) are allowed for electrons, which correspond to specific energy states.

The boiling point is the temperature at which the vapor pressure of a liquid equals the atmospheric pressure.

The common ion effect states that the solubility of a salt decreases in the presence of a common ion.

The law of conservation of energy states that energy can neither be created nor destroyed, but can be transformed from one form to another.

Momentum is conserved in all types of collisions, provided no external forces act on the system.

The mixed graph reveals that while some variables follow a linear trend, others exhibit non-linear patterns.

The statement that the decimal system is the only system used in mathematics is incorrect; other systems like binary and hexadecimal are also used.

A triangle has no diagonals, as it has only three vertices. The formula for the number of diagonals in a polygon is n(n-3)/2, where n is the number of sides.

The number of diagonals in a polygon is calculated using the formula n(n-3)/2, where n is the number of sides.

Electrons fill orbitals in order of increasing energy, and the 4s orbital is filled before the 3d orbital.

The equilibrium constant K is dependent on temperature; it changes if the temperature of the system changes.

The Fibonacci sequence starts with 0 and 1, and each subsequent term is the sum of the previous two.

A continuous function has no breaks or holes in its graph.

The graph of a quadratic function is symmetric about its vertex.

The Heisenberg Uncertainty Principle states that there is a limit to the precision with which certain pairs of physical properties, such as position and momentum, can be known simultaneously.