To calculate the area of a circle, we need to use the formula: Area = πr² Here, r represents the radius of the circle. The radius is half of the diameter. Since the diameter of our circle is 8, we can find the radius by dividing the diameter by 2: Radius (r) = Diameter / … Read more
The given sequence is 2, 6, 12, 20, 30. To find a formula for the general term of this sequence, we can first look at the differences between consecutive terms: 6 – 2 = 4 12 – 6 = 6 20 – 12 = 8 30 – 20 = 10 Now, these differences are: 4, … Read more
Integrating Xex into your existing system involves a series of methodical steps to ensure a smooth and efficient implementation. Below, we break down the process for you: Assess Your Current System: Begin by examining your existing infrastructure. Document the functionalities, technologies, and platforms currently in use. This understanding will help identify where Xex can fit … Read more
To express the mixed number 4 5/11 6 as an improper fraction, we first need to clarify the mixed number format. It seems like there might be a typo in the given topic regarding whether ‘6’ is meant to be part of the mixed number or if it was included by accident. I’ll assume you … Read more
To understand the formulas for finding the interior and exterior angles of a polygon, we first need to grasp the basic properties of polygons. Interior Angles: The sum of the interior angles of a polygon can be calculated using the formula: Sum of Interior Angles = (n – 2) × 180° where n is the … Read more
To find the value of 16 raised to the power of 14, we start by expressing 16 as a power of 2. This can be done because 16 is equal to 2^4. Using this representation, we can rewrite the expression: 1614 = (24)14 Next, according to the laws of exponents, when you raise a power … Read more
To convert the improper fraction 23/7 into a mixed number, you need to follow these simple steps: Divide the numerator by the denominator: Start by performing the division of 23 by 7. When you divide, you find that 23 ÷ 7 = 3 with a remainder of 2. Identify the whole number: The quotient from … Read more
Determining whether a number is divisible by 3 is a simple process based on the sum of its digits. Here’s how you can do it: Identify the Number: Start with the number you want to check. For example, let’s take the number 123. Sum the Digits: Next, add together all the individual digits of that … Read more
Understanding Exponentiation Exponentiation is a mathematical operation involving two numbers, the base and the exponent. In this case, you are asking about 8 to the power of 2 to the power of 3, which can also be expressed as 8^(2^3). To break this down, we need to follow the order of operations. Step 1: Calculate … Read more
To calculate 64 raised to the power of 13, we can first express 64 in exponential form. Since 64 is equal to 2 to the power of 6, we have: 64 = 26 Thus, 6413 can be rewritten as: (26)13 Using the property of exponents that states (am)n = am*n, we can simplify as follows: … Read more