devyy 2 to the power of 20 is calculated as follows: 220 = 2 x 2 x 2 x 2… (total of 20 times). The calculation results in: 220 = 1,048,576 Thus, the value of 2 to the power of 20 is 1,048,576. This means that if you can double a number 20 times, you will … Read more
The term “1 mod 4” refers to the mathematical operation of modulus, which finds the remainder of a division of one number by another. Specifically, in this case, we are dividing 1 by 4. To break it down: Division: When you divide 1 by 4, the result is 0 because 4 cannot go into 1 … Read more
Converting meters per second (m/s) to kilometers per hour (km/h) is a straightforward process that involves a simple mathematical operation. To convert the speed from meters per second to kilometers per hour, you can use the following formula: Speed (km/h) = Speed (m/s) × 3.6 Here’s the breakdown of the conversion: Meters to kilometers: There … Read more
Infinity raised to the power of zero is a concept that often perplexes students and enthusiasts of mathematics alike. Mathematically, this expression can be represented as ∞^0. To understand what this means, we need to delve into the properties of exponents. In general, any non-zero number raised to the power of zero equals one. This … Read more
To convert the fraction 1/8 into a percentage, you can follow these simple steps: Understand the Fraction: A fraction consists of a numerator and a denominator. In this case, 1 is the numerator, and 8 is the denominator. Divide the Numerator by the Denominator: Calculate 1 divided by 8. When you do this, you get: … Read more
The square root of a number is a value that, when multiplied by itself, gives the original number. When we talk about the square root of x2, we are looking for a value that, when squared, results in x2. Mathematically, the square root of x2 can be expressed as: √(x2) = x However, this is … Read more
The expression sin x cos x can be rewritten in terms of sine by applying a well-known trigonometric identity. Specifically, we can utilize the double angle formula for sine, which states: sin(2x) = 2 sin x cos x From this identity, we can see that: sin x cos x = (1/2) sin(2x) This means that … Read more
To determine the radius and diameter of a circle, you need to understand the fundamental definitions of these terms: Radius: The radius of a circle is the distance from the center of the circle to any point on its circumference. It essentially represents half the distance across the circle. Diameter: The diameter of a circle … Read more
The SI unit of weight is the newton (N). Weight is the force exerted on an object due to gravity, and it is calculated by multiplying the mass of the object (measured in kilograms) by the acceleration due to gravity (approximately 9.81 m/s² on the surface of the Earth). In more detail, the relationship can … Read more