Kinetic energy KE = 0.5 * m * v² = 0.5 * 6 kg * (3 m/s)² = 27 J.

Using F = ma, a = F/m = 24 N / 6 kg = 4 m/s².

Using F = ma, a = F/m = 18 N / 6 kg = 3 m/s².

Using F = ma, acceleration a = F/m = 12 N / 6 kg = 2 m/s².

Using P = V^2 / R, we rearrange to find R = V^2 / P = (120V)^2 / 60W = 240 ohms.

Using Ohm's law, I = V/R = 9V / 3Ω = 3A.

Total parts = 1 + 4 = 5. Volume of A = (1/5) * 100 = 20 liters.

The total parts in the mixture is 2 + 3 = 5. Liquid A is (2/5) * 50 = 20 liters.

Total parts = 2 + 3 = 5. Volume of B = (3/5) * 50 = 30 liters.

Total parts = 4 + 5 = 9. Volume of B = (5/9) * 90 = 50 liters.

Total parts = 4 + 5 = 9. Volume of B = (5/9) * 90 = 50 liters.

The total number of balls that are not blue is 3 (red). The probability of drawing a red ball given that it is not blue is 3/5.

The total number of balls is 3 + 2 = 5. The probability of drawing a red ball is 3/5.

Total balls = 3 + 5 + 2 = 10. Average = Total balls / Number of colors = 10 / 3 = 3.33.

Total balls = 4 + 6 = 10. Probability of not drawing a black ball = Number of white balls / Total balls = 4/10 = 2/5.

P(both black) = (6/10) * (5/9) = 30/90 = 1/3 ≈ 0.333.

Total balls = 4 + 6 = 10. Probability of not drawing a black ball = Number of white balls / Total balls = 4/10 = 2/5.

The total number of balls is 4 + 6 = 10. The number of black balls is 6. Therefore, the probability of drawing a black ball is 6/10 = 3/5.

Total balls = 4 + 3 + 5 = 12. Non-black balls = 4 + 5 = 9. Probability = Non-black balls / Total balls = 9/12 = 3/4.

Total balls = 4 + 5 + 6 = 15. Non-black balls = 4 + 6 = 10. Probability = Non-black balls / Total balls = 10/15 = 2/3.

The probability of drawing a blue ball is 3/(5+3) = 3/8.

Total balls = 5 + 3 = 8. Probability of red ball = Number of red balls / Total balls = 5/8.

The total number of balls is 10. The number of non-blue balls is 7 (5 red + 2 green). Thus, the probability is 7/10 = 0.7.

The ratio of red to blue balls is 3:5. If there are 40 blue balls, we can set up the proportion: 3/5 = x/40. Solving for x gives us x = 24. Therefore, there are 24 red balls.

The ratio of red to blue balls is 5:3. If there are 40 red balls, the number of blue balls can be calculated as (3/5) * 40 = 24 blue balls.

50% of 2400 calories = 0.50 * 2400 = 1200 calories.

A balanced diet typically consists of 60% carbohydrates, 25% proteins, and 15% fats.

Time = √(2h/g) = √(2 × 45 m/10 m/s²) = √(9) = 3 s

Using the formula: h = 0.5 * g * t², where h = 80 m and g = 9.8 m/s². Rearranging gives t² = (2 * h) / g = (2 * 80) / 9.8 ≈ 16.33, so t ≈ 4.03 s.

Using the formula: h = 0.5 * g * t^2. 80 = 0.5 * 10 * t^2. Solving gives t^2 = 16, so t = 4 s.