Clay has lower drainage capacity compared to sandy soil.

Volume of water = Porosity × Volume of soil = 0.3 × 100 m³ = 30 m³.

Weight of water = Moisture content × Dry weight = 0.25 × 200 kg = 50 kg.

Weight of water = Moisture content x Weight of dry soil = 0.25 x 200 kg = 50 kg.

Water holding capacity = Soil moisture content × Volume of soil = 0.30 × 1000 liters = 300 liters.

Minimum votes required = (500/2) + 1 = 251.

Simple majority = (545/2) + 1 = 273.

A simple majority requires more than half, so (545/2) + 1 = 274 votes are needed.

Time = distance/speed = 1000 m / 340 m/s ≈ 2.94 s.

Variance is the square of the standard deviation. Therefore, variance = 7² = 49.

Variance is the square of the standard deviation. Therefore, variance = 3² = 9.

In an equilateral triangle, each angle is equal, so each angle = 180/3 = 60 degrees.

The third angle can be found by subtracting the sum of the other two angles from 180 degrees: 180 - (50 + 70) = 60 degrees.

Let the two-digit number be 10a + b, where a is the tens digit and b is the units digit. We have a + b = 9 and 10a + b = 4(a + b). Solving these gives a = 4 and b = 5, so the number is 45.

The sum of the first n natural numbers is given by the formula n(n + 1)/2 = 210. Solving n(n + 1) = 420, we find n = 14 or n = 15. Thus, n = 15.

The sum of the first n natural numbers is given by the formula n(n + 1)/2 = 255. Solving n(n + 1) = 510, we find n = 16.

The sum of the first n natural numbers is given by the formula n(n + 1)/2. Setting this equal to 2550, we have n(n + 1) = 5100. Solving the quadratic equation n^2 + n - 5100 = 0 gives n = 50.

The sum of the first n natural numbers is given by the formula n(n + 1)/2. Setting this equal to 5050, we have n(n + 1)/2 = 5050. Solving for n gives n = 100.

The nth term of the series can be found using T_n = S_n - S_(n-1). First, calculate S_10 and S_9: S_10 = 3(10^2) + 2(10) = 320, S_9 = 3(9^2) + 2(9) = 273. Thus, T_10 = S_10 - S_9 = 320 - 273 = 47.

From Vieta's formulas, p = -sum of roots = -5 and q = product of roots = 6.

The sum of the roots is -p = 8, hence p = -8.

The sum of the roots is given by -(-3)/1 = 3. Thus, k = 3 - 3 = 0.

The sum of the roots is given by -(-6)/1 = 6. The product of the roots is k, and since the sum is correct, k can be any value.

Let the integers be n, n+1, n+2. Then n + (n+1) + (n+2) = 72. Solving gives 3n + 3 = 72, so n = 24.

Angles that sum up to 90 degrees are called complementary angles.

Two angles whose sum is 90 degrees are called complementary angles.

The numbers are 4 and 8, as 4 + 8 = 12 and 4 × 8 = 32.

Let the other number be x. Then, 9 + x = 15. Thus, x = 15 - 9 = 6.

Let the two numbers be x and y. We have x + y = 15 and xy = 50. Solving these equations gives the larger number as 10.

Let the other number be x. Then, x + 12 = 20. So, x = 20 - 12 = 8.