Explanation

Gymnasts are known for their agility due to the diverse movements involved in their sport, which require strength, flexibility, and quick reflexes.

The sport demands rapid changes in body position and coordination, making gymnasts particularly agile.

Explanation

To factor the expression:

4a² - 16

First, factor out the greatest common factor (GCF), which is 4:

4(a² - 4)

Then, recognize the difference of squares pattern:

a² - 4 = (a - 2)(a + 2)

So, the factored form is:

4(a - 2)(a + 2)

Explanation

To simplify the expression:

ac + ad + bc + bd

Factor out the common terms:

a(c + d) + b(c + d)

Then, factor out the common binomial factor:

(a + b)(c + d)

Explanation

In a compound microscope, the final image is typically virtual and inverted.

The objective lens forms a real, inverted image, which is then magnified by the eyepiece, resulting in a virtual and inverted image seen by the observer.

Explanation

1 milligram (mg) = 10⁻⁶ kilograms (kg)

So, 20 milligrams equals:

20 mg = 20 × 10⁻⁶ kg

Which simplifies to:

2 × 10⁻⁵ kg

Explanation

In this context, "divine" refers to something that is related to God or divinely inspired.

The divine message refers to the messages from God, particularly in the context of prophethood or revelation.

Divine means الہی

God means خدا

Explanation

The religious concept of health is the earliest, where health was often considered a divine gift or a state of moral and spiritual well-being.

Over time, this evolved into the biomedical and psycho-social concepts of health, which focus on physical and mental well-being, respectively.

Explanation

To find the Highest Common Factor (HCF), list the factors of each number:

135: 1, 3, 5, 9, 15, 27, 45, 135

540: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

675: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

765: 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 765

The highest common factor among these numbers is: 45.

Explanation

Since the sum doubles itself in 15 years, it will quadruple (2 × 2) in 30 years (15 × 2), and become eight times (2 × 2 × 2) in 45 years (15 × 3).

Explanation

The production of ammonia in industry, specifically through the Haber process, can be increased by raising the pressure.

Higher pressure shifts the equilibrium towards more ammonia production, though temperature and catalysts also play a role.