Explanation

Schools and teachers are considered the primary educators as they provide foundational knowledge and skills to children.

They play a crucial role in shaping the intellectual, social, and emotional development of the child.

Explanation

The Basic Education Scheme aims to provide fundamental education to meet the basic needs of individuals.

It ensures access to essential learning for personal and social development.

Explanation

The citizens of FATA (Federally Administered Tribal Areas) were granted the right to vote in 1997 general elections.

Before this, only Maliks (tribal elders) had voting rights under a limited franchise system.

Explanation

Let's solve the equation step by step:

2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2)

Expanding both sides:

2x - 4 - 5x + 25 = 4x - 32 - 2x + 4

Combining like terms:

-3x + 21 = 2x - 28

Adding 3x to both sides:

21 = 5x - 28

Adding 28 to both sides:

49 = 5x

Dividing both sides by 5:

x = 49/5

x = 9.8

Explanation

Dignity is a noun because it represents a thing or concept (the state of being worthy of respect).

In the sentence, it refers to a quality or characteristic.

Explanation

The word psychology comes from the Greek words "psyche" (meaning mind or soul) and "logos" (meaning study).

So, it literally means the study of the mind and soul.

Explanation

To find the area of the path, we need to find the area of the larger rectangle and subtract the area of the smaller rectangle.

Area of larger rectangle = Length × Width

= 60 × 40

= 2400 m²

Length of inner rectangle = 60 - 2 × 2.5 = 55 m

Width of inner rectangle = 40 - 2 × 2.5 = 35 m

Area of inner rectangle = 55 × 35

= 1925 m²

Area of path = Area of larger rectangle - Area of inner rectangle

= 2400 - 1925

= 475 m²

Explanation

First bottle: 3 liters 240 milliliters

Second bottle: 5 liters 350 milliliters

Liters: 3 + 5 = 8 liters

Milliliters: 240 + 350 = 590 milliliters

Total = 8 liters 590 milliliters

Explanation

We know the identity:

a³ - b³ = (a - b)(a² + ab + b²)

Here, 8x³ - 27y³ = (2x)³ - (3y)³

= (2x - 3y)((2x)² + (2x)(3y) + (3y)²)

Given 2x - 3y = 8 and xy = 2:

(2x)² + (2x)(3y) + (3y)² = 4x² + 6xy + 9y²

= 4x² + 6(2) + 9y²

= 4x² + 12 + 9y²

We need to express 4x² + 9y² in terms of 2x - 3y and xy:

(2x - 3y)² = 4x² - 12xy + 9y²

64 = 4x² - 12(2) + 9y²

64 = 4x² - 24 + 9y²

4x² + 9y² = 88

Now, 4x² + 6xy + 9y² = 88 + 12 = 100

So, 8x³ - 27y³ = (2x - 3y)((2x)² + (2x)(3y) + (3y)²)

= 8 × 100

= 800

Explanation

The Halting problem is about determining whether a given program will terminate (halt) or run indefinitely for a specific input.

It was proven by Alan Turing that there is no general algorithm to solve this problem for all possible programs.