Explanation

The given sequence is:

-31, -21, -11, -1, 9

Let's find the common difference (d):

d = (-21) - (-31) = 10

d = (-11) - (-21) = 10

d = (-1) - (-11) = 10

d = 9 - (-1) = 10

The sequence is an arithmetic progression (AP) with a common difference of 10.

The nth term of an AP is given by:

an = a + (n - 1)d

where a is the first term (-31), n is the term number (34), and d is the common difference (10).

a34 = -31 + (34 - 1) * 10

= -31 + 33 * 10

= -31 + 330

= 299

Explanation

A number divisible by 2, 3, and 5 must be divisible by 30 (since 2×3×5=30).

8940 ÷ 30 = 298, so 8940 is divisible by all three.

Explanation

A comet grows a tail when it approaches the Sun due to the heat causing the ice to vaporize, releasing gas and dust.

This process forms a glowing coma and tail, which always points away from the Sun due to solar wind.

Explanation

Explanation

Let's solve this problem:

Initially, food is enough for 36 people for 20 days.

Total food = 36 people * 20 days = 720 people-days

When 12 more people come, the total number of people becomes:

36 + 12 = 48

Now, let's find out how many days the food will last for 48 people:

720 people-days / 48 people = 15 days

Explanation

Negative reinforcement strengthens behavior by removing an unpleasant stimulus after the desired response.

It usually follows prior conditioning, encouraging repeated behavior to avoid discomfort.

Explanation

یہ فرشتوں کا کعبہ ہے، جہاں ہر روز ستر ہزار فرشتے طواف کرتے ہیں 

یہ خانہ کعبہ کے اوپر ہے، جو ساتویں آسمان پر واقع ہے. 

فرشتے بیت المعمور کا طواف کرتے ہیں اور اس کی عبادت کرتے ہیں. 

بیت المعمور کو فرشتوں کا قبلہ بھی کہا جاتا ہے. 

سورہ طور میں، اللہ تعالیٰ نے بیت المعمور کی قسم کھائی ہے.

Explanation

Tactical objectives break down broader strategic goals into actionable steps.

They guide departments or teams in executing specific tasks aligned with the main strategy.

Explanation

In an ecosystem, living things interact by competing, cooperating, and depending on each other for food, shelter, and survival.

These interactions form complex relationships like food chains and symbiosis.

Explanation

Let's denote the length of the tangent as l.

We know that the radius is perpendicular to the tangent at the point of contact.

Using the Pythagorean theorem:

l² = 10² - 6²

= 100 - 36

= 64

l = √64

= 8 cm