Explanation

The sentence follows a common comparative structure: "The + comparative, the + comparative" (e.g., The greater the demand, the higher the price).

"The higher" correctly completes this comparative cause-effect pattern.

Explanation

In a balanced chemical equation, the law of conservation of mass states that atoms are neither created nor destroyed.

So, the number of atoms of each element on the reactant side is always equal to that on the product side.

Explanation

The sentence gives advice or recommendation, which is best expressed using "should."

Correct sentence: Sonia should practice much if she wants to take part in the race.

Explanation

Decaying involves the breakdown of organic matter into simpler substances through chemical reactions.

It alters the original composition of the material, which is a hallmark of a chemical change.

Explanation

The phrase "eating out" means having a meal outside the home, usually at a restaurant.

So, "We are eating out tonight" is correct.

Explanation

"Shall I open the window?" is a polite way to offer help or do something for someone.

Make an offer means ایک پیش کش کریں

Explanation

Work done = F × d × cos(θ); when angle θ = 180°, cos(180°) = -1.

So, if force and displacement are antiparallel (opposite), the work is negative.

Explanation

"However" shows contrast between having no clues and tips still coming in.

It logically connects two opposing ideas in a single sentence.

Explanation

She told the doctor that she would be going to Murree the next day.

"Said to" changes to "told" and "will" changes to "would" in indirect speech.

"Tomorrow" becomes "the next day" as per rules of reported speech.

Explanation

For the X and Y components of a force to be equal:

Fx = Fy

Given F = Fx i + Fy j = F cos(θ) i + F sin(θ) j

Fx = F cos(θ)

Fy = F sin(θ)

For Fx = Fy:

F cos(θ) = F sin(θ)

cos(θ) = sin(θ)

tan(θ) = 1

θ = 45°