Explanation

Magnesium (Mg) electronic distribution = 2, 8, 2

The number of shells = 3 (so Period = 3)

The number of electrons in the outermost shell = 2 (so Group = 2)

Explanation

"Wail" means to cry loudly.

Wail means واویلا کرنا ۔ نوحہ یا ماتم کرنا ۔ غم کرنا ۔ رونا پیٹنا

Explanation

An angle less than 90° is called an acute angle.

Exactly 90°: Right angle

Between 90° and 180°: Obtuse angle

Exactly 180°: Straight angle

More than 180° and less than 360°: Reflex angle

Explanation

Connotative meaning refers to the emotional or cultural association beyond the literal meaning.

"Fire" connotatively represents strong feelings like passion or anger, not just physical flames.

Explanation

Given:

LCM = 456

HCF = 6

One number = 24

Let's denote the other number as x. We know:

LCM * HCF = Product of the numbers

456 * 6 = 24 * x

2736 = 24x

x = 2736 / 24

x = 114

Explanation

Let's denote the two numbers as 8x and 3x, where x is a common multiplier.

Given that their difference is 20:

8x - 3x = 20

5x = 20

x = 4

Now, let's find the numbers:

First number: 8x = 8 * 4 = 32

Second number: 3x = 3 * 4 = 12

Explanation

Given the equation:

log3 (4x + 3) = 3

We can rewrite this in exponential form:

3³ = 4x + 3

27 = 4x + 3

Subtracting 3 from both sides:

24 = 4x

Dividing both sides by 4:

x = 6

Explanation

Let's solve the quadratic equation 6x² - 17x + 12 = 0.

Using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 6, b = -17, and c = 12.

x = (17 ± √((-17)² - 4_6_12)) / (2*6)

x = (17 ± √(289 - 288)) / 12

x = (17 ± √1) / 12

x = (17 + 1) / 12 or x = (17 - 1) / 12

x = 18 / 12 or x = 16 / 12

x = 3/2 or x = 4/3

The solutions are x = 3/2 and x = 4/3.

Explanation

For a quadratic equation ax² + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a.

Given the equation 2x² + kx + 6 = 0, we have:

Sum of the roots = -k/2

Product of the roots = 6/2 = 3

According to the problem, the sum of the roots is equal to four times the product of the roots:

-k/2 = 4 * 3

-k/2 = 12

k = -24

Explanation

Photographic films contain silver halide crystals that are sensitive to light.

These crystals react to light exposure and form the image when developed.