Explanation

The least common multiple (LCM) of 4, 8, and 16 is 16.

The 4th common multiple is: 16 × 4 = 64.

Explanation

In flowcharts, a parallelogram is used to show input (e.g., user enters data) or output (e.g., display result) operations.

It helps distinguish between data flow and processing steps in a program’s logic.

Explanation

A folk tale is a traditional story passed down orally through generations.

These stories often include myths, legends, and moral lessons, making them popular in cultures worldwide.

Explanation

Fractional distillation separates liquids based on differences in their boiling points.

It is commonly used for separating components in crude oil and alcohol purification.

Explanation

Evaluate the polynomial at x = 4

3(4)³ - 2(4)² - 150

= 3(64) - 2(16) - 150

= 192 - 32 - 150

= 10

Explanation

2⅔ can be written as 2^(2/3), which equals ∛(2²) = ∛4 = ³√4.

Explanation

9592 ÷ 22 = 436

Quotient means the result of division without remainder.

Explanation

Explanation

To evaluate the expression 1/2 + 1/3 - 1/4, we need to find a common denominator. The least common multiple of 2, 3, and 4 is 12.

1/2 = 6/12

1/3 = 4/12

1/4 = 3/12

Now, let's add and subtract:

6/12 + 4/12 - 3/12

= (6 + 4 - 3)/12

= 7/12

Explanation

Given:

sin θ < 0 (sine is negative)

cot θ > 0 (cotangent is positive)

Since cot θ = cos θ / sin θ, and cot θ > 0, we know that cos θ and sin θ must have the same sign (both positive or both negative).

Given sin θ < 0, cos θ must also be negative.

The quadrant where both sine and cosine are negative is the 3rd quadrant.