devyy The factorial of a number, denoted by that number followed by an exclamation mark (e.g., 9!), is the product of all positive integers up to that number. In simpler terms, it’s a way to find out how many different ways you can arrange a set of items. For the number 9, the factorial can be … Read more
To convert 33 1/3 percent into a fraction, we can follow these steps: Understand what percent means: Percent means ‘per hundred.’ Thus, 33 1/3 percent can be expressed mathematically as: 33 1/3 = 33.3333… Convert the mixed number: The mixed number 33 1/3 can be converted into an improper fraction. We multiply the whole number … Read more
The basic unit of volume in the metric system is the liter, abbreviated as ‘L’. It is widely used around the world for measuring liquid substances as well as some solid materials, especially in cooking and scientific contexts. To give you a better understanding, one liter is defined as the volume of a cube that … Read more
To convert the improper fraction 16/3 into a mixed number, you can follow these simple steps: Divide the numerator by the denominator: Divide 16 by 3. The whole number result of this division will be the integer part of your mixed number. Calculate the whole number: When you divide 16 by 3, you get 5 … Read more
To find what 13 of 15 is, we can interpret this as wanting to know what fraction or percentage 13 represents out of 15. This can be solved simply by dividing 13 by 15. Mathematically, this is calculated as: 13 ÷ 15 = 0.8667 To express this as a percentage, we multiply the result by … Read more
The antiderivative of sin^2(x) can be found using a trigonometric identity and integration techniques. To start, we use the identity for sin^2(x), which is expressed in terms of cosine: \[ sin^2(x) = \frac{1 – cos(2x)}{2} \] This reformulation allows us to express the integral in a simpler form: \[ \int sin^2(x) \, dx = \int … Read more
10 to the power of 1 is quite a straightforward calculation. Mathematically, 101 means multiplying the number 10 by itself one time. This can be expressed as: 101 = 10 In essence, any number raised to the power of 1 is simply the number itself. Thus, when you calculate 101, the result will always be … Read more
3 to the power of 8, also expressed as 38, represents 3 multiplied by itself 7 more times. To calculate it, you can follow the steps: First, understand that 38 equals 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3. Next, perform the multiplication: 3 × 3 = 9 … Read more
To find the result of dividing 6 by 1/4, we need to understand how division by a fraction works. When you divide by a fraction, it’s the same as multiplying by its reciprocal. The reciprocal of a fraction is simply flipping the numerator and the denominator. In this case, 1/4 has a reciprocal of 4/1, … Read more