Explanation

1 milligram (mg) = 10⁻⁶ kilograms (kg)

So, 20 milligrams equals:

20 mg = 20 × 10⁻⁶ kg

Which simplifies to:

2 × 10⁻⁵ kg

Explanation

To complete the square for x⁴ + 64, recognize that:

(x²)² + 2(x²)(8) + 8² = (x² + 8)²

So, the missing term to complete the square is:

2(x²)(8) = 16x²

Explanation

Both students and teachers benefit when they actively engage in discussions and share knowledge.

Mutual learning enhances understanding creativity and problem-solving skills.

Explanation

A fracture is a break or crack in a bone due to trauma or stress.

It can be simple (closed) or compound (open) depending on whether the bone pierces the skin.

Explanation

Given:

α + β = 5 (sum of roots)

αβ = k (product of roots)

3α + 2β = 16

From α + β = 5, we get:

α = 5 - β

Substitute α in 3α + 2β = 16:

3(5 - β) + 2β = 16

15 - 3β + 2β = 16

-β = 1

β = -1

Now, α = 5 - β

α = 5 - (-1)

α = 6

k = αβ

k = 6 × (-1)

k = -6

Explanation

Erik Erikson proposed the Psychosocial Development Theory, which includes 8 stages, each marked by a specific conflict (e.g., trust vs. mistrust).

Successful resolution of these conflicts leads to healthy personality development.

Explanation

"Everybody" refers to an unspecified group of people, making it an indefinite pronoun.

Indefinite pronouns do not refer to any specific person or thing.

Explanation

Explanation

The opposite of an integer is its additive inverse.

The opposite of -21 is +21.

Explanation

Cholera "breaks out" means it spreads rapidly, especially after floods due to contaminated water.

Floods increase the risk of waterborne diseases like cholera.