Explanation

Let's factor:

2x^3 + 16

= 2(x^3 + 8)

= 2(x + 2)(x^2 - 2x + 4)

Explanation

Isolation of communities leads to the creation of new languages as groups become separated and develop distinct dialects over time.

This linguistic divergence can result in the emergence of a completely new language.

Explanation

Ascaris is a parasitic roundworm, not a mammal; it belongs to phylum Nematoda.

Mammals like lion, bat, and platypus feed their young with milk.

Explanation

Let's convert the mass of the bulb to grams:

Mass of bulb = 12 milligrams = 0.012 grams

Mass of tube = 25 grams

Difference in mass = 25 - 0.012

= 24.988 grams

Explanation

A herbivore is an animal that only eats plants, not meat.

Deer mainly feed on grass, leaves, and fruits, making them herbivores.

Explanation

The connotative meaning of "home" refers to more than just a physical structure; it signifies a place of comfort, safety, and love.

This deeper emotional connection goes beyond mere shelter, highlighting warmth and personal significance.

Explanation

Let the price of one candy be x and one chocolate be y; then 5 candies and 3 chocolates cost 85.

So, the equation is 5x + 3y = 85.

Explanation

The correct sentence is: "She will finish the work by tomorrow."

"Will" is the appropriate auxiliary verb to indicate future action.

Explanation

3 divided by 9 simplifies to 1/3.

Equivalent fractions represent the same value when simplified.

Explanation

Let's denote:

r = price of 1 rubber

s = price of 1 sharpener

Given:

r + 7s = 61 ... (1)

3r + s = 23 ... (2)

Multiplying (1) by 3:

3r + 21s = 183

Subtracting (2) from this:

20s = 160

s = 8