Explanation

The expression that represents "a number greater than -2 but less than 7" is:

{x | -2 < x < 7}

This notation correctly indicates x is between -2 and 7, excluding both -2 and 7.

Explanation

The correct sentence is: "Hyder is on vacation."

"On vacation" is the standard phrase in English.

Explanation

Pulse beat is measured from an artery because it reflects the rhythmic pumping of the heart.

Common sites include the radial artery (wrist) and carotid artery (neck).

Explanation

The active sentence "They were laughing at her" is in past continuous tense.

In passive voice, it becomes:

"She was being laughed at by them."

Structure: was/were being + past participle (laughed).

Explanation

Artificial means مصنوعی، قدرتی نہ ہو

Unreal means غَیر حَقِیقی

Man-made means انسان ساختہ

Explanation

Let's calculate:

√(9) = 3

6 + 3 = 9

√(9) = 3

22 + 3 = 25

√(25) = 5

Explanation

Let’s analyze each option under the assumption that a and b are integers:

a⁷ → Square of an integer → Always an integer

b* → Ambiguous; if it means b raised to some power (like a^b or b^a), then:

If b = 2 and a = -1, then b^a = 2⁻¹ = 0.5, not an integer

So, this is not necessarily an integer

a * b → Product of two integers → Always an integer

2a – 5b → Linear combination of integers → Always an integer

Explanation

Given:

(3z + 4z + 5z) / 2 = 36

Combine like terms:

12z / 2 = 36

6z = 36

z = 36 / 6

z = 6

Explanation

Let's calculate:

Regular wages for 40 hours = 40 * Rs. 30 = Rs. 1200

Total wages received = Rs. 1680

Overtime wages = Rs. 1680 - Rs. 1200 = Rs. 480

Overtime wage rate = 2 * Rs. 30 = Rs. 60/hour

Number of overtime hours = Overtime wages / Overtime wage rate

= Rs. 480 / Rs. 60

= 8 hours

Explanation