The product of the roots = c/a = 9/3 = 3.

The product of the roots of ax^2 + bx + c is given by c/a. Here, 6/2 = 3.

Range = maximum - minimum = 30 - 10 = 20.

15.6 - 4.2 = 11.4

Alleles are different forms of a gene that can exist at a specific locus on a chromosome.

The hypothalamus controls the pituitary gland, which regulates various endocrine functions.

sin(30°) = 0.5

The slope of the perpendicular line is the negative reciprocal: -1/3.

The square root of 49 is 7.

Mean = 5.2; Variance = 2.5; Standard deviation = √2.5 ≈ 1.58.

The sum of the roots = -(-20)/5 = 4.

The sum of the roots of ax^2 + bx + c is given by -b/a. Here, -6/3 = -2.

Surface area of a hemisphere = 2πr² + πr² = 3πr² = 3π(5)² = 75π cm² ≈ 235.62 cm².

Electrophysiology refers to the study of the electrical activity of the heart, which is measured by an ECG.

Genotype refers to the genetic makeup of an organism, including all alleles present.

Phenotype refers to the observable characteristics or traits of an organism, influenced by its genotype and environment.

2.5^2 = 6.25

7.5 + 2.3 = 9.8

cos(60°) = 0.5

For a double root, the discriminant must be zero: k^2 - 4(1)(9) = 0. Thus, k^2 = 36, giving k = ±6.

sin(90°) = 1

tan(45°) = 1

The discriminant D = b^2 - 4ac = (-4)^2 - 4*2*2 = 16 - 16 = 0.

Using the quadratic formula x = [-b ± √(b² - 4ac)] / 2a, we have a = 2, b = -8, c = 6. The discriminant is (-8)² - 4(2)(6) = 64 - 48 = 16. Thus, x = [8 ± 4] / 4, giving x = 3 or x = 1.

The vertex is at x = -b/(2a) = 4/2 = 2; substituting x = 2 gives y = 2^2 - 4*2 + 3 = -1.

Volume = side³ = 3³ = 27 cm³.

Volume = length * width * height = 2 * 3 * 4 = 24 cm³.

Volume of a sphere = (4/3)πr³ = (4/3)π(6)³ = (4/3)π(216) = 288π cm³.

Phosphorus is an essential element in the backbone of DNA and RNA molecules.

Iron is essential for hemoglobin formation, which is crucial for oxygen transport in red blood cells.