Explanation

Pest : Irksome → A pest is something that is irksome (annoying).

Expert : Proficient → An expert is someone who is proficient (skilled).

Explanation

A parabola is defined as the set of points equidistant from a fixed point (focus) and a fixed line (directrix).

Its eccentricity (e) = 1, which distinguishes it from ellipses (e < 1) and hyperbolas (e > 1).

Explanation

Need analysis identifies what learners require versus what is currently offered.

It helps bridge the gap between the existing and desired curriculum goals.

Explanation

The formula ∑x/n calculates the arithmetic mean of a set of numbers, where:

∑x = sum of all values

n = number of values

This formula provides the average value of the dataset.

Explanation

In this context, a "realistic price" means a fair and reasonable price based on market value.

Correct sentence: I decided to sell a piece of land when I was offered a more realistic price.

Explanation

The psychomotor domain involves physical movement, coordination, and use of motor skills.

It is directly related to practical work and hands-on activities.

Explanation

To find the pressure, we use the formula:

P = F / A

Where:

- P is the pressure

- F is the force (weight) = 392 N

- A is the area = 0.0001 m²

P = 392 N / 0.0001 m² = 3,920,000 Pa

To convert Pascals (Pa) to Megapascals (MPa):

3,920,000 Pa = 3.92 MPa

Explanation

The rate of change of cost with respect to the number of units produced is called Marginal Cost.

It represents the additional cost of producing one more unit.

Explanation

The relativistic length contraction formula is:

L = L₀√(1 - v²/c²)

Given L = L₀/2:

L₀/2 = L₀√(1 - v²/c²)

1/2 = √(1 - v²/c²)

1/4 = 1 - v²/c²

v²/c² = 3/4

v = √(3/4) * c = √3/2 * c

The answer is v = √3/2c.

Explanation

Non-terminating repeating decimals can be expressed as fractions, so they are rational numbers.

In contrast, irrational numbers have non-terminating, non-repeating decimal expansions.