200 dashboard student Practice Questions

The average case time complexity of quicksort is O(n log n).

The capital of France is Paris.

Newton's second law of motion states that Force = mass × acceleration (F = ma).

This means that the force acting on an object is directly proportional to the mass of the object and its acceleration.

The area of a circle is given by the formula:

A = πr²

Where:

• A is the area
• r is the radius of the circle

Step 1: Subtract 5 from both sides:

2x + 5 - 5 = 13 - 5

2x = 8

Step 2: Divide both sides by 2:

2x/2 = 8/2

x = 4

Photosynthesis is the process by which plants convert light energy from the sun into chemical energy stored in glucose.

This process takes place primarily in the chloroplasts of plant cells.

The overall chemical equation for photosynthesis is:

6CO₂ + 6H₂O + light energy → C₆H₁₂O₆ + 6O₂

Here, carbon dioxide and water are used to produce glucose and oxygen.

Step 1: Add 4 to both sides:

3y - 4 + 4 = 11 + 4

3y = 15

Step 2: Divide by 3:

y = 15 / 3

y = 5

Harper Lee wrote 'To Kill a Mockingbird', which was first published in 1960. It is a novel set in the American South during the 1930s and deals with themes of racial injustice, moral growth, and compassion.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b):

a² + b² = c²

The chemical symbol for gold is Au, which comes from the Latin word for gold, 'Aurum'.

Speed is calculated using the formula:

Speed = Distance / Time

Step 1: Subtract 2 from both sides:

5z + 2 - 2 = 27 - 2

5z = 25

Step 2: Divide by 5:

z = 5

Alexander Fleming discovered penicillin in 1928. Penicillin is a group of antibiotics that revolutionized the treatment of bacterial infections.

The main ingredient in steel is iron, but steel is made stronger and more resistant to corrosion by adding carbon and other elements like chromium and nickel.

The capital of Japan is Tokyo, one of the world's most populous and technologically advanced cities.

Water boils at 100°C or 212°F at sea level under normal atmospheric pressure (1 atm).

At higher altitudes, the boiling point of water decreases due to lower atmospheric pressure.

The water cycle involves the continuous movement of water on, above, and below the surface of the Earth. The main stages are:

• Evaporation: Water from oceans, lakes, and rivers turns into vapor.
• Condensation: Water vapor rises, cools, and forms clouds.
• Precipitation: Water falls back to Earth as rain, snow, or hail.
• Collection: Water collects in bodies of water and the cycle begins again.

The quadratic formula is used to find the solutions of a quadratic equation. It is:

x = [-b ± √(b² - 4ac)] / 2a

Where a, b, and c are coefficients of the quadratic equation ax² + bx + c = 0.

The chemical symbol for sodium is Na, which comes from the Latin word 'Natrium'.

The atomic number of carbon is 6, which means a carbon atom has 6 protons in its nucleus.

Albert Einstein developed the theory of relativity, which revolutionized our understanding of space, time, and gravity. The theory includes:

• Special relativity: Introduced the famous equation E = mc².
• General relativity: Describes how gravity is a curvature of space-time.