Explanation

Given:

a - b = 7

ab = 6

The formula for a³ - b³ is:

a³ - b³ = (a - b)(a² + ab + b²)

= (a - b)((a - b)² + 3ab)

Substitute the values:

a³ - b³ = 7((7)² + 3(6))

= 7(49 + 18)

= 7 × 67

= 469

Explanation

In offers or polite suggestions, the word “something” is used (e.g., “to drink something”).

“Wouldn’t you like to drink something?” is grammatically and contextually correct.

Explanation

Alkali metals (like sodium and potassium) react vigorously with air and water, often catching fire.

To prevent this, they are stored in oil (like paraffin oil) to keep them stable and unreactive.

Explanation

Crossing over occurs during meiosis, where genetic material is exchanged between homologous chromosomes.

This process produces recombinant chromatids, which carry a new combination of genes.

Explanation

Polar orbiting satellites travel over the Earth from pole to pole and are mainly used for collecting weather and climate data.

They provide detailed global coverage, useful for forecasting and environmental monitoring.

Explanation

Measurement refers to the quantitative assessment of a student's performance, often in numbers or scores.

The example "Farhan solved 23 out of 40 problems" is a numerical description, making it a clear case of measurement.

Explanation

Alliteration is the repetition of the same beginning consonant sound in closely connected words.

The repeated “t” sound in Tall trees towered toward shows perfect alliteration.

Explanation

The bright side of the Moon is the part that reflects sunlight and is visible from Earth.

This side changes shape during phases of the Moon.

Explanation

Temperature is continuous data because it can take any value within a range (e.g., 30.5°C, 30.55°C).

Continuous data can be measured on a scale, not just counted.

Explanation

The curriculum is the primary tool a teacher (the artist) uses to shape and guide students (the material) within the school (the studio).

It encompasses the planned content, objectives, and experiences designed to achieve educational ideals.