Simple Math GK Trivia

Explanation
A fractal is a mathematical set that exhibits self-similarity and complexity at all scales. The Dragon Curve, Mandelbrot Set, and Sierpinski Triangle are all examples of fractals because they exhibit intricate patterns that repeat themselves when zoomed in. However, a parabola is not a fractal because it does not display the same self-similarity and complexity at all scales. A parabola is a simple curve that follows a specific mathematical equation, and it does not exhibit the intricate and repetitive patterns characteristic of fractals.

Explanation
The inverse of a function is a function that "undoes" the original function. In this case, to find the inverse of f(x) = 3x + 5, we need to switch the roles of x and f(x) and solve for x. By doing this, we get x = (1/3)f(x) - 5/3. Therefore, the inverse of f(x) = 3x + 5 is (1/3)x - 5/3.

Explanation
The equation of a line can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 5/3 and the y-intercept is 6. Plugging these values into the equation, we get y = (5/3)x + 6. To convert this equation into the standard form, we multiply both sides by 3 to eliminate the fraction, resulting in 3y = 5x + 18. Rearranging the equation, we get 5x - 3y = -18. Therefore, the correct answer is 5x - 3y = -18.

Explanation
The function f(x) = x represents an absolute value function. This is because the absolute value function is defined as the distance from a number to zero on the number line. In this case, the function f(x) = x represents the distance of x from zero, regardless of whether x is positive or negative. Therefore, it satisfies the definition of an absolute value function.

Explanation
The function f(x) = x represents the identity function. In this function, the output (f(x)) is equal to the input (x) for every value of x. This means that the function does not change or alter the input in any way, hence it is called the identity function.

Explanation
A triangle has three sides and three angles. The sum of the angles in a triangle is always 180 degrees. Therefore, the correct answer is 180.

Explanation
The square root of a number is the value that, when multiplied by itself, gives the original number. In this case, the square root of 400 is 20 because 20 x 20 = 400.

Explanation
The approximate value of pi is 3.14. Adding 2 and one half to pi would give us 3.14 + 2.5 = 5.64. Therefore, the correct answer is 5.64.

Explanation
A millennium is a period of one thousand years. Therefore, the correct answer is 1,000.

Explanation
The smallest unit of measurement among the given options is 3 mm. Millimeters (mm) are smaller than centimeters (cm), inches, and meters.

Explanation
Rene Descartes is known as the "Father of Modern Mathematics" and is famous for his statement "I think, therefore I am." This statement, known as the cogito, is a fundamental principle in Descartes' philosophy and signifies the existence of the self through the act of thinking. Descartes made significant contributions to mathematics, philosophy, and science, and his work laid the foundation for modern mathematics. Therefore, Rene Descartes is the correct answer for this question.

Explanation
If you get 18 right out of 20, you can calculate the percentage by dividing the number of correct answers (18) by the total number of questions (20) and then multiplying by 100. This gives you (18/20) * 100 = 90%. Therefore, you got 90% of the questions correct.

Explanation
After eating 6 slices out of 8, there are 2 slices left. In order to express this as a fraction, we can write it as 2/8. However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. Thus, the simplified fraction is 1/4, which means that 1 out of 4 slices is left.

Explanation
Area is the correct answer because it refers to the amount of space occupied by a two-dimensional surface. It is a measurement of the size of a surface and is commonly used in geometry and mathematics to determine the extent or coverage of a given shape or object. Volume, array, and base number are not applicable in this context as they refer to different concepts and measurements.

Explanation
The pattern in the sequence is that each number alternates between a square number and its corresponding square root. The sequence starts with 4, which is the square of 2. Then, 16 is the square of 4. Next, 5 is the square root of 25. Following that, 25 is the square of 5. The next number in the sequence would be the square root of 36, which is 6. Therefore, the correct answer is 36.