Explanation

The empty set ∅ has exactly one subset, which is itself (∅).

Explanation

2/5 is less than 4/5 and does not lie between 4/5 and 7/14.

5/7, 1/2, and 3/4 all fall between 4/5 and 7/14.

Explanation

A free throw in basketball is worth one point each.

It is awarded after a foul.

It is taken from the free-throw line.

Explanation

Pass (or bump): The first contact to control the ball and direct it to the setter.

Set: The second contact to accurately position the ball for an attacker.

Attack (or spike): The third contact to send the ball over the net in an attempt to score.

Explanation

The standard handball court size is 40 meters in length and 20 meters in width, as per the International Handball Federation (IHF) regulations.

This court size ensures enough space for seven players per team, including the goalkeeper, to play effectively.

Explanation

Convert to decimals:

  2/3 ≈ 0.666, 1/2 = 0.5, 1/4 = 0.25

Descending order means largest to smallest → 2/3, 1/2, 1/4

Explanation

"A good dentist" is used for the first general mention (indefinite article).

"The dentist" refers to the same specific person already introduced (definite article).

Explanation

Given:

5x + 8 = 23

Subtract 8 from both sides:

5x = 23 - 8

5x = 15

Divide both sides by 5:

x = 15 / 5

x = 3

Explanation

For the quadratic equation 3x^2 - 6x + k = 0 to have equal roots, the discriminant b^2 - 4ac must be 0.

Here, a = 3, b = -6, and c = k.

Setting the discriminant to 0 gives (-6)^2 - 4(3)(k) = 0.

Solving this, 36 - 12k = 0, which yields k = 3.

Explanation

Denotative meaning refers to the literal dictionary definition of a word.

"Falter" literally means to walk or move unsteadily, especially due to weakness or lack of confidence.

Falter means چلنے یا مستقل طور پر منتقل کرنے کے لئے