In the equation y^2 = 4px, we have 4p = 20, thus p = 5.

Using the identity, sin(180° - θ) = sin θ.

sin(30 degrees) = 1/2 = 0.5.

According to the Pythagorean identity, sin² θ + cos² θ = 1 for any angle θ.

tan(60°) = √3.

The 3rd term in the expansion of (a + b)^6 is given by C(6, 2) * a^4 * b^2 = 15 * a^4 * b^2.

The 3rd term in the expansion of (x + 2)^5 is C(5, 2)(x)^2(2)^3 = 10 * x^2 * 8 = 80.

The 5th term is C(7,4) * (2)^4 * x^3 = 35 * 16 * x^3 = 560x^3.

The coefficient of x^0 in (x + 5)^3 is given by 3C0 * (5)^3 = 1 * 125 = 125.

The coefficient of x^4 in (2x - 5)^6 is given by 6C2 * (2)^4 * (-5)^2 = 15 * 16 * 25 = 600. The coefficient is -720.

The coefficient of x^4 in (x + 5)^6 is given by 6C4 * 5^2 = 15 * 25 = 375.

The coefficient of x^5 is given by C(8, 5) = 56.

f'(x) = 9x^2 - 2. At x = 1, f'(1) = 9*1^2 - 2 = 7.

Using the determinant formula, det(G) = 1(1*0 - 4*6) - 2(0 - 4*5) + 3(0 - 1*5) = -24 + 40 - 15 = 1.

The discriminant is b^2 - 4ac = 12^2 - 4(3)(12) = 144 - 144 = 0.

The discriminant is b^2 - 4ac = 12^2 - 4*3*9 = 144 - 108 = 36.

The discriminant D = b^2 - 4ac = 12^2 - 4*3*9 = 0, indicating equal roots.

The discriminant is b^2 - 4ac = 6^2 - 4(3)(2) = 36 - 24 = 12.

Calculating inside the parentheses first: (2 + 3) = 5 and (4 - 1) = 3. Therefore, 5 × 3 = 15.

Calculating inside the parentheses first: (3 + 5) = 8 and (2 - 1) = 1. Therefore, (3 + 5) × (2 - 1) = 8 × 1 = 8.

First, we calculate the sum inside the parentheses: 4 + 5 = 9. Then we multiply by 2: 9 × 2 = 18.

First, calculate inside the parentheses: 8 + 4 = 12. Then divide by 2: 12 ÷ 2 = 6. Finally, multiply by 3: 6 × 3 = 18.

First calculate inside the parentheses: 3 + 2 = 5. Then, 5 × 2 = 10. Finally, 10 - 10 = 0.

Following the order of operations: 10 - 6 + 4 = 8.

According to the order of operations, we first multiply: 3 × 4 = 12, then add: 2 + 12 = 14.

Calculating gives 2(7) - 5 = 14 - 5 = 9.

2^3 = 8, 3^2 = 9, so 8 + 9 - 4 = 13. The correct answer is 7.

Calculating gives 2^3 = 8 and 3^2 = 9. Therefore, 2^3 + 3^2 = 8 + 9 = 17.

First, calculate the expression inside the parentheses: 2 + 4 = 6. Then, multiply by 3: 3 × 6 = 18. Finally, subtract 5: 18 - 5 = 13.

3(4 + 5) = 3 × 9 = 27.