Explanation

"Whom are you looking for?"

"Whom" is the objective case of "who" and should be used when it functions as the object of a verb or preposition.

In this sentence, "whom" is the object of the preposition "for," making it grammatically correct.

Explanation

The triangle with vertices A(1,2), B(0,4), and C(3,5) has two sides of equal length.

This makes it an isosceles triangle, where at least two sides are equal.

Explanation

To find the number of men, subtract the number of women from the total population:

6753 - 3985 = 2768.

Explanation

Step 1: Perform polynomial long division or synthetic division

To find the quotient when (2x³ - 5x²y + 5xy² - 3y³) is divided by (2x - 3y), let's try factoring or direct division.

Step 2: Factor the numerator if possible

Notice that (2x³ - 5x²y + 5xy² - 3y³) can be factored as:

(2x³ - 3x²y) + (-2x²y + 3xy²) + (2xy² - 3y³)

= x²(2x - 3y) - xy(2x - 3y) + y²(2x - 3y)

= (2x - 3y)(x² - xy + y²)

Step 3: Identify the quotient

Given the factorization (2x - 3y)(x² - xy + y²), the quotient when (2x³ - 5x²y + 5xy² - 3y³) is divided by (2x - 3y) is x² - xy + y².

Explanation

Sigmund Freud's Psychoanalytic Model focuses on the unconscious mind, childhood experiences, and the structure of personality (Id, Ego, Superego).

It differs from other models by emphasizing inner conflicts and unconscious motives.

Explanation

A group of ants is referred to as a "colony."

This term specifically applies to social insects like ants that live and work together in large groups.

Explanation

2² × 3² means (2 × 2) × (3 × 3) = 4 × 9 = 36.

The prime factorization of 36 is 2² × 3².

Explanation

13/20 - 7/20 = (13 - 7)/20 = 6/20

Simplifying 6/20 by dividing both numerator and denominator by 2:

6/20 = 3/10.

Explanation

Biomechanics principles are used to understand the movements of muscles, joints, and bones, focusing on physical forces.

These principles help in analyzing motion and improving performance or preventing injury.

Explanation

Wheat contains about 348 calories per 100 grams and is a rich source of carbohydrates.

It is a staple food used in making bread, pasta, and other important dietary items.