Explanation

The logarithmic equation t = log𝑏 m means that b raised to the power t equals m.

Converting to exponential form: m = bᵗ.

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

Introducing a new curriculum gradually allows for:

• Phased implementation
• Teacher training and support
• Student adjustment and familiarization
• Ongoing evaluation and refinement

Explanation

An infinitive phrase consists of "to" + base verb (to leave).

In this sentence, "to leave the party" functions as the object of the verb "hated."

Explanation

"Theirs" is a possessive pronoun that replaces “their [noun]” without repeating the noun.

Use “theirs” when the noun is implied (e.g., “the favorite activity”).

Explanation

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

|-3| = 3

Explanation

When two resistances of 2Ω each are connected in parallel:

1/R = 1/R1 + 1/R2

= 1/2 + 1/2

= 2/2

= 1

R = 1Ω

Explanation

To divide -63 by -7:

[-63] ÷ (-7) = 9

Explanation

Mass number = Protons + Neutrons in an atom.

Carbon's most common isotope (Carbon-12) has 6 protons and 6 neutrons, making its mass number 12.

Explanation

Quiet means making no noise, which fits the context of a teacher asking students to remain silent.

Quite means to a large extent or degree, which would not make sense in this context.