Explanation

Given:

a - b = 4

ab = 5

The formula for a³ - b³ is:

a³ - b³ = (a - b)(a² + ab + b²)

We can also use the identity:

a³ - b³ = (a - b)³ + 3ab(a - b)

Substituting the given values:

a³ - b³ = (4)³ + 3 * 5 * 4

= 64 + 60

= 124

Explanation

If the tank is 40% filled, then the remaining part, which is empty, is 100% - 40% = 60%.

Therefore, 60% of the tank is empty.

Explanation

The absolute value of a number is its distance from zero, regardless of direction. Therefore:

|-3| = 3

Explanation

1 divided by 1000 equals 0.001.

It represents one-thousandth in decimal form.

Explanation

Intelligent describes the quality or characteristic of the students, making it an adjective of quality.

It provides more information about the students' intellectual traits.

Explanation

The 5 E's Model (Engage, Explore, Explain, Elaborate, Evaluate) is a constructivist teaching approach commonly used to design lesson plans that encourage active learning and student-centered activities.

It is specifically designed to enhance understanding by promoting exploration and reflection throughout the learning process.

Explanation

Silt is actually very useful for gardening, as its fine texture helps retain moisture and nutrients.

It is rich in minerals, making it suitable for plant growth, unlike the statement suggesting it isn't.

Explanation

Biomechanics principles are used to understand the movements of muscles, joints, and bones, focusing on physical forces.

These principles help in analyzing motion and improving performance or preventing injury.

Explanation

Wheat contains about 348 calories per 100 grams and is a rich source of carbohydrates.

It is a staple food used in making bread, pasta, and other important dietary items.

Explanation

Given:

5x + 8 = 23

Subtract 8 from both sides:

5x = 23 - 8

5x = 15

Divide both sides by 5:

x = 15 / 5

x = 3