Explanation

The term ellipses means omission.

An ellipsis (...) is used to omit parts of a passage without changing the meaning.

It helps to shorten long quotations or texts for clarity and relevance.

Explanation

Let's break it down step by step:

1. Expand 2x²(1 + 3x):

2x² + 6x³

2. Expand (1 + 4x² - 2x)(5x - 1):

= 5x - 1 + 20x³ - 4x² - 10x² + 2x

= 20x³ - 14x² + 7x - 1

3. Now subtract:

2x² + 6x³ - (20x³ - 14x² + 7x - 1)

= 2x² + 6x³ - 20x³ + 14x² - 7x + 1

= -14x³ + 16x² - 7x + 1

Explanation

Horseshoe design combines both circle and row formats, creating a semi-circular arrangement ideal for group discussions, assignments, and lectures.

It facilitates interaction while maintaining focus, with participants seated in a shape that promotes engagement.

Explanation

Backward Conditioning occurs when the conditioned stimulus (CS) is presented after the unconditioned stimulus (UCS) or during its presentation.

It is considered less effective in creating strong conditioning compared to other types.

Explanation

وَإِذَا نَادَيْتُمْ إِلَى الصَّلَاةِ

اس کا ترجمہ ہے: اور جب تم نماز کے لیے بلاتے ہو۔

یہ عبارت سورۃ المائدہ کی آیت نمبر 58 کا حصہ ہے۔

Explanation

Sumerians, Akkadians, Babylonians, and Assyrians civilizations flourished in Mesopotamia, the region between the Tigris and Euphrates rivers.

These civilizations are known for their early advancements in writing, law, and architecture.

Explanation

Given the quadratic equation:

mx² - 5x + n = 0

Sum of roots = -(-5)/m = 5/m

Product of roots = n/m

Given:

Sum of roots = Product of roots = 10

So, 5/m = 10 => m = 1/2

And n/m = 10 => n = 10m = 10 * (1/2) = 5

Explanation

قرآن حکیم (سورۃ الفرقان، آیت 67) میں فرمایا گیا

اور جب وہ خرچ کرتے ہیں تو نہ فضول خرچی کرتے ہیں اور نہ بخل، بلکہ ان دونوں کے درمیان اعتدال سے خرچ کرتے ہیں۔

مطلب یہ کہ رحمٰن کے بندے میانہ روی اختیار کرتے ہیں، اسراف نہیں کرتے۔

Explanation

Junaid starts with Rs. 600.

He gives one-fourth (1/4) to Awais:

Amount given to Awais = 600 * (1/4) = Rs. 150

Remaining amount = 600 - 150 = Rs. 450

He then gives half of the remaining amount to Hamza:

Amount given to Hamza = 450 * (1/2) = Rs. 225

Remaining amount = 450 - 225 = Rs. 225

The amount left with Junaid is:

Rs. 225

Explanation

A consonant cluster is a group of two or more consonants at the beginning of a word without any vowels between them.

In "Spring," the cluster "spr" is a consonant cluster.