The equation (x - h)^2 + (y - k)^2 = r^2 represents a circle centered at (h, k) with radius r.

The equation y = a sin(bx) represents sine waves where 'a' is the amplitude and 'b' is the frequency.

The equation y = ax^2 + bx + c represents a family of quadratic functions where 'a', 'b', and 'c' are constants.

The equation y = ae^(bx) represents a family of exponential curves where a and b are constants.

The equation y = mx + c represents a family of straight lines for different values of m and c.

The genotype 'AA' represents a homozygous dominant individual.

The equation x^2/a^2 - y^2/b^2 = 1 represents a hyperbola with transverse axis along the x-axis.

A phenotype is the observable characteristic, such as brown eyes.

Dissolving sugar in water is a physical change as it does not alter the chemical composition of sugar.

Systematic errors are consistent and repeatable inaccuracies, often due to calibration errors.

A test cross is performed by crossing an individual with a homozygous recessive individual (AA x aa) to determine the genotype of the former.

Dissolving ammonium nitrate in water absorbs heat, making it an endothermic reaction.

The change of base formula states that log_a(b) can be expressed as log_c(b) divided by log_c(a).

The polar form of a complex number r(cos θ + i sin θ) where r is the modulus and θ is the argument. Here, 4 = 4(cos 0 + i sin 0).

Significant figures include all non-zero digits and any zeros between them or trailing after a decimal point.

All the given relationships are correct and represent the conversion between moles, mass, and molar mass.

The correct relationship is mass = moles × molar mass.

The enthalpy change for a reaction at constant pressure is represented by ΔH.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

10^(3x) can be rewritten as (10^3)^x = 1000^x.

4^(3/2) can be rewritten as (2^2)^(3/2) = 2^(2*3/2) = 2^3 = 8.

x^2 - 9 is a difference of squares, which factors to (x - 3)(x + 3).

x^2 - 9 is a difference of squares, which factors to (x - 3)(x + 3).

The ideal gas constant can be represented as R = 0.0821 L·atm/(K·mol) or R = 8.314 J/(K·mol).

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.

Avogadro's number is 6.022 x 10^23, which represents the number of particles in one mole.

In the slope-intercept form y = mx + b, m represents the slope. Here, m = 3.

In the equation y = mx + b, 'm' represents the slope of the line.

4 - x < 1 => -x < -3 => x > 3

4 - x < 2 => -x < -2 => x > 2.