Explanation

The denotative meaning is the literal, dictionary definition.

"Congested" literally means filled to excess or overcrowded, especially in traffic or spaces.

Congested means ضرورت سے زیادہ یا بھیڑ بھرا ہوا

Explanation

Conflict is the main problem or challenge in a story or fable.

It drives the characters to take action and find a solution.

Explanation

Axiology is the study of values, including aesthetics and ethics.

It explores what is valuable and why, covering moral and cultural values.

Explanation

Carbon has a valency of 4, and Oxygen has a valency of 2.

By crossing the valencies, we get CO₂ (i.e., one carbon and two oxygen atoms), and the ratio simplifies to the empirical and molecular formula: CO₂.

Explanation

Given cos θ = 4/5 and θ lies in the 4th quadrant.

In the 4th quadrant, cosine is positive, and sine is negative.

We know that sin² θ + cos² θ = 1

sin² θ = 1 - cos² θ

= 1 - (4/5)²

= 1 - 16/25

= 9/25

sin θ = ±√(9/25)

= ±3/5

Since θ lies in the 4th quadrant, sin θ is negative:

sin θ = -3/5

Explanation

Given:

a² + b² + c² = 12

a + b + c = 5

We know that:

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

Expanding the equation:

5² = 12 + 2(ab + bc + ca)

25 = 12 + 2(ab + bc + ca)

Subtract 12 from both sides:

13 = 2(ab + bc + ca)

Divide by 2:

ab + bc + ca = 13/2

Explanation

The LCM of 8 and 24 is 24 (since 24 is a multiple of 8).

The common multiples are: 24, 48, 72, 96 (4th common multiple).

Explanation

Sympathetic imitation involves emotional response imitation, like crying when others cry.

It is often instinctive and driven by empathy rather than conscious effort.

Explanation

Ultrasound imaging uses high-frequency sound waves to create images of internal body structures.

These waves reflect off tissues and organs, and the echoes are used to form detailed images.

Explanation

Given that x + 1 is a factor of the polynomial x³ + ax² - x + 2, we know that (-1) is a root of the polynomial.

Let's plug in x = -1 into the polynomial:

(-1)³ + a(-1)² - (-1) + 2 = 0

-1 + a + 1 + 2 = 0

a + 2 = 0

Subtract 2 from both sides:

a = -2