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

15.6 - 4.2 = 11.4

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.

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.

The polynomial x^2 - 4 factors to (x-2)(x+2), so the roots are 2 and -2.

sin²(θ) + cos²(θ) = 1