Explanation

One day = 24 hours, and each hour has 60 minutes.

24 × 60 = 1440 minutes in a full day and night.

A full day consists of 24 hours, split between day and night.

There are 86,400 seconds in a day (24 hours x 60 minutes x 60 seconds).

Explanation

r is inversely proportional to p³, so r = k/p³.

Given p = 9 and r = 2:

2 = k/729

k = 2 × 729 = 1458

Now, r = 1/4:

1/4 = 1458/p³

p³ = 1458 × 4 = 5832

p = 18

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.

Explanation

Educational evaluation involves continuous assessment of all information to judge students' learning progress and program effectiveness.

It helps in improving teaching methods and ensuring educational goals are being met.

Explanation

"Rooster" is the male bird; "hen" is its female counterpart in chickens.

This is an example of gendered nouns in animals.

Explanation

The idiom “Be all ears” means to listen carefully and attentively.

It conveys readiness to hear every word being said.

Explanation

The cushion increases the time it takes for the body to stop, which reduces the force of impact.

This reduces the likelihood of injury, as force is spread over a longer period.

Explanation

When pulling, part of the force acts upward, reducing normal force.

Lower normal force means less friction, making it easier to move the object.

Explanation

Lord Mountbatten, the last British Governor General of India, prepared and presented the Mountbatten Plan in 1947.

This plan led to the partition of India and the creation of Pakistan.