Explanation

9592 ÷ 22 = 436

Quotient means the result of division without remainder.

Explanation

Given polynomial: p(x) = x² - 4x + 3

Step 1: Factor the polynomial

p(x) = (x - 3)(x - 1)

Step 2: Find the zeros

Zeros are x = 3 and x = 1

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

Smallest 5-digit number: 10000

Greatest 4-digit number: 9999

Result = 10000 - 9999= 1

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.

Explanation

Ray tracing is the method of following individual light rays from an object to the eye (or camera) to simulate how light interacts with surfaces (e.g., reflection, refraction).

It is widely used in computer graphics, optics, and physics to model light paths accurately.

Explanation

Let's denote the two numbers as 2x and 3x, based on the ratio 2:3.

The difference between the numbers is:

3x - 2x = 60

x = 60

Now, find the numbers:

Smaller number = 2x = 2 × 60 = 120

Larger number = 3x = 3 × 60 = 180

The numbers are 180 and 120.

Explanation

Frequency is the number of cycles per unit time in a periodic wave.

It is measured in Hertz (Hz), where 1 Hz equals one cycle per second.