Explanation

A group generated by one of its elements is called a cyclic group.

This means that the group can be generated by repeatedly applying the group operation to a single element, called the generator.

In other words, all elements of the group can be expressed as powers of the generator.

Explanation

I wear glasses for reading.

میں پڑھنے کے لیے عینک پہنتا ہوں۔

The preposition "for" is used to indicate the purpose of something.

In this case, "for reading" means the glasses are used with the purpose of reading.

Explanation

In 1/h hour the student solves q questions

In 1/h*h hours the student will solve q*h questions

That is in 1 hour the student will solve q*h questions.

So in q hours, the student will solve q*q*h questions

So your answer is:-  q²h questions

Sh31-8-2023

Explanation

She ran after him into the courtyard.

وہ اس کے پیچھے صحن میں بھاگی۔

"After" indicates following someone.

Explanation

• We lost confidence in Amjad delivered on the grandiose promises he had made.
• ہم نے امجد کے ان شاندار وعدوں پر اعتماد کھو دیا جو اس نے کیے تھے۔
• ***
• delivered on: to do what is required by (a promise or pledge)
• "Delivered on" is best to keep the meaning of the original sentence
• ***
• This is the past sentences we use the second foam of the verb
• Infinitive Past Simple Present Participle
• Deliver          Delivered           Delivering

Explanation

The "Circles of Learning" framework was formulated by both Carl Rogers and David Johnson.

Explanation

Since x is 20% more than z, we have:

x = z + (20% of z)

= 100 + (20/100) × 100

= 100 + 20

= 120

Since y is 80% more than z, we have:

y = z + (80% of z)

= 100 + (80/100) × 100

= 100 + 80

= 180

Now, we need to find the ratio x:y. We can simplify this by dividing both numbers by their greatest common divisor (GCD), which is 20.

x = 120 ÷ 20 = 6

y = 180 ÷ 20 = 9

So, the ratio x:y is 6:9. We can further simplify this by dividing both numbers by their GCD, which is 3.

x = 6 ÷ 3 = 2

y = 9 ÷ 3 = 3

Therefore, the ratio x:y is 2:3.

Explanation

Tap X can fill the tank in 10 hours, which means it fills 1/10 of the tank per hour.

Tap Y can fill the tank in 15 hours, which means it fills 1/15 of the tank per hour.

When both taps are opened together, their combined rate of filling the tank is the sum of their individual rates:

(1/10 + 1/15) of the tank per hour

To add these fractions, we need a common denominator, which is 30. So we get:

(3/30 + 2/30) = 5/30 = 1/6 of the tank per hour

Since they fill 1/6 of the tank per hour together, they will fill the entire tank in 6

hours.

Explanation

If A completes a work in 1 day, B completes the same work in 3 days

Hence, if the difference is 2 days, B can complete the work in 3 days

=> if the difference is 60 days, B can complete the work in 90 days

=> Amount of work B can do in 1 day= 1/90

Amount of work A can do in 1 day = 3 × (1/90) = 1/30

Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45

=> A and B together can do the work in 45/2 days = 22 ½ days

Explanation

He traveled under difficult circumstances.

The preposition "under" is used to indicate being affected by or enduring certain conditions.