Explanation

Given the matrix:

[4 -9]

[-1 2]

The determinant is calculated as:

(4 * 2) - (-9 * -1)

= 8 - 9

= -1

Explanation

Verbose means طول طویل ۔ پراز الفاظ

Succinct means مختصر ۔ مجمل

Explanation

Given 0 < x < 1:

When you cube x (x³), the value becomes smaller than x because multiplying fractions (or numbers less than 1) together results in a smaller fraction.

So, x³ < x.

Explanation

Let's check each equation by plugging in a = -5:

(3/5)a + 19 = 16

→ (3/5)(-5) + 19 = -3 + 19 = 16 → True

So, the equation (3/5)a + 19 = 16 has a solution of a = -5

Explanation

A cup touches the lips when drinking; similarly, a bird uses its beak for feeding.

This analogy is based on the functional relationship in feeding.

Explanation

غزوہ تبوک میں پیچھے رہ جانے والے مشہور صحابہ کو سوشل بائیکاٹ کی سزادی گئی تھی۔

حضور صلی اللہ علیہ وسلم نے ان صحابہ سے بات چیت اور تعلقات روک دیے تھے، یہاں تک کہ اللہ کی طرف سے ان کی توبہ قبول ہو گئی۔

Explanation

Communication skill is a learned behavior, not inherited genetically.

Skin colour, hair colour, and eye colour are inherited traits passed through genes.

Explanation

Given A = {x | x ∈ P ∧ 5 ≤ x ≤ 13}, where P is the set of prime numbers:

The prime numbers between 5 and 13 are 5, 7, 11, and 13.

So, A = {5, 7, 11, 13}, which has 4 elements.

The power set P(A) has 2^n elements, where n is the number of elements in A:

2^4 = 16

Explanation

Total painted = 25% (blue) + 30% (green) = 55%

Remaining for white = 100% - 55% = 45%

Explanation

"Junior" is an adjective that describes someone as being younger or of lower status.

When using "junior" in a comparison, you use "to" instead of "than".

"By" is used to indicate the age difference (e.g., by four years).