Explanation

x = 3+ √8

x = (3+√8)(3-√8) / (3-√8)

x = (9 -8) / (3-√8)

x = 1/ (3 -√8)

Or we can write 1/x = (3-√8)

Put the value and find out

x² +(1/x²) = x² + (1/x)²

So x² + 1/ x² = (3 +√8)² + (3 -√8)²

= 9+6√8+8 + 9–6√8+8

= 34.

Explanation

The latest declaration from the Commonwealth focuses on the "Connectivity Agenda for Trade and Development." 

This initiative emphasizes enhancing trade ties among member states to foster sustainable economic growth and development.

It aims to improve access to markets, facilitate investment, and promote sustainable practices across the Commonwealth.

Explanation

• The headquarters of Anti-Slavery International, the world's oldest human rights organization, is located in London.
• It works to eliminate all forms of slavery and human trafficking globally.
• Its roots stretch back to 1787 when the first abolitionist society was formed.
• The British and Foreign Anti-Slavery Society (BFASS) was officially created on 17 April 1839 to crusade against slavery and the slave trade throughout the world.

Explanation

In a negative sentence, the question tag is positive.

"Will they" is the correct tag to match the structure of "They will not come here."

Explanation

From equation (1), we can write:

2 = 10^0.3010

Now, take log base 2 on both sides:

log2 2 = log2 (10^0.3010)

1 = 0.3010 log2 10

Now, divide both sides by 0.3010:

log2 10 = 1/0.3010

= 100/30.10

= 1000/301

Explanation

Let's say the number of girls is x. Then, the number of boys is 2x (since there are twice as many boys as girls).

Total students = x (girls) + 2x (boys) = 3x

Now, let's calculate the number of students who failed:

Girls who failed = 45% of x = 0.45x

Boys who failed = 30% of 2x = 0.6x

Total students who failed = 0.45x + 0.6x = 1.05x

Now, let's calculate the number of students who passed:

Total students who passed = Total students - Total students who failed

= 3x - 1.05x

= 1.95x

Percentage of students who passed = (1.95x / 3x) × 100%

= 65%

Explanation

When 52416 is divided by 312, the quotient is 168. To find the quotient when 52.416 is divided by 0.0168, we can set up a proportion:

52416 ÷ 312 = 168

52.416 ÷ 0.0168 = x

We can then cross-multiply and solve for x:

x = (52.416 × 312) ÷ 0.0168

x = 3120

So, the quotient is 3120.

Explanation

The analogy is: Here : There :: She : I

Just as "here" and "there" are corresponding locations, "she" and "I" are corresponding pronouns, indicating the person speaking.

Explanation

ISI (Inter-Services Intelligence): Established in 1948

FIA (Federal Investigation Agency): Established in 1974

IB (Intelligence Bureau): Established in 1947

Explanation

A design template provides a consistent layout, fonts, and color scheme.

It creating a cohesive look for the entire presentation.