devyy The sequence provided is a list of prime numbers. Prime numbers are defined as natural numbers greater than 1 that cannot be formed by multiplying two smaller natural numbers. They are only divisible by 1 and themselves. Let’s break down the sequence: 2 – the first prime number 3 – the second prime number 5 … Read more
When we raise a number to a power, we are multiplying that number by itself a certain number of times. In this case, we are looking at the expression 14. To break it down, when you raise 1 to the power of 4, you’re essentially doing the following multiplication: 1 × 1 × 1 × … Read more
To find the equation of the line that passes through the points (2, 1) and (4, 5), we can use the slope-intercept form of the line, which is given by: y = mx + b where m is the slope and b is the y-intercept. First, we need to calculate the slope (m) of the … Read more
To find what 23 out of 50 is as a percentage, you can follow a straightforward mathematical process. Here’s a step-by-step breakdown: Step 1: Divide the part (23) by the whole (50). Calculation: 23 ÷ 50 = 0.46 Now that we have the decimal, the next step is to convert that decimal into a percentage. … Read more
The phrase ‘in terms of X’ is commonly used in both spoken and written language to refer to the specific framework or context in which something is being discussed. It helps to clarify what aspect or dimension of a topic is being considered. For instance, if someone says, ‘In terms of productivity, we need to … Read more
Calculating 10 to the 11th power means raising the number 10 to the exponent of 11. In simple terms, this involves multiplying the number 10 by itself 10 times, which can be expressed as: 10 ^ 11 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 … Read more
The formula for calculating simple interest is: Simple Interest (SI) = Principal (P) × Rate (R) × Time (T) Where: Principal (P): The initial amount of the loan (in this case, $1000). Rate (R): The annual interest rate (in this case, 5 percent, or 0.05 as a decimal). Time (T): The duration for which the … Read more
A quadratic equation is typically expressed in the standard form: ax² + bx + c = 0 where a, b, and c are constants, and a cannot be zero. The number of real solutions for a quadratic equation is determined by its discriminant, denoted as D. The discriminant is calculated using the formula: D = … Read more
When converting the fraction 3/25 to a decimal, you can perform the division of the numerator by the denominator. In this case, you divide 3 by 25. Here’s how you can do it step by step: Step 1: Consider the fraction 3/25. Step 2: Perform the division: 3 ÷ 25. Step 3: Since 3 is … Read more
The antiderivative, or indefinite integral, of a function is essentially the reverse of taking the derivative. To find the antiderivative of the function 1/x², we can rewrite it using negative exponents: -1/x^2 = x^{-2}. Now, we will apply the power rule for integration. The power rule for integration states that for any real number n … Read more