To express the number 13 million in scientific notation, we first need to understand the format of scientific notation. Scientific notation is a way of writing numbers that are too large or too small in a more manageable form. It is typically expressed as: N x 10k, where N is a number greater than or … Read more
To express the number 2,500,000 in scientific notation, you want to write it as a product of a number between 1 and 10 and a power of 10. Here’s the step-by-step process: Identify the significant digits: In the number 2,500,000, the significant digits are 2.5. We consider only the digits that are necessary to convey … Read more
The expression 8134 represents a mathematical calculation where 81 is multiplied by itself a total of 34 times. To find this value, it helps to understand the underlying principles of exponentiation. First, notice that 81 can be expressed as a power of 3: 81 = 34. Therefore, we can rewrite the expression: 8134 = (34)34 … Read more
To solve the equation x² – 36 – 5x = 0, we can rearrange it into the standard form of a quadratic equation, which is: x² – 5x – 36 = 0 Now, we’ll use the quadratic formula to find the solutions for x. The quadratic formula is: x = (-b ± √(b² – 4ac)) … Read more
To convert the improper fraction 11/7 into a mixed number, we follow a simple process. Step 1: Divide the Numerator by the Denominator We start by dividing the numerator (11) by the denominator (7). 11 divided by 7 equals 1 with a remainder of 4. Step 2: Write the Whole Number Part The result from … Read more
To solve the equation 2x + 10 = 13, we need to isolate the variable x. Follow these steps: Start with the original equation: 2x + 10 = 13. Subtract 10 from both sides to eliminate the constant term on the left side: 2x + 10 – 10 = 13 – 10 Which simplifies to: … Read more
To find the factors of the quadratic expression x² + 4x + 5, we can use the method of factoring or the quadratic formula. A standard quadratic expression can be factored into the form: (x + a)(x + b), where ab = c (the constant term) and a + b = b (the coefficient of … Read more
A regular hexagon is a six-sided polygon where all sides and angles are congruent (equal). To find the measure of one interior angle in a regular hexagon, we need to use a specific formula for calculating the interior angles of any regular polygon. The formula for finding the measure of one interior angle is: Interior … Read more
To integrate the function 1/x2, we can follow these steps: Rewrite the integrand in a more convenient form. We can express 1/x2 as x-2. Now, we set up the integral: ∫ x-2 dx We can apply the power rule of integration, which states: ∫ xn dx = &frac{xn+1}{n+1} + C, for n ≠ -1 In … Read more
To calculate the distance between the points (1, 4) and (6, 2), we use the distance formula derived from the Pythagorean theorem. The formula for the distance ( d) between two points (x1, y1) and (x2, y2) in a 2D plane is: d = √((x2 – x1)² + (y2 – y1)²) Substituting our points into … Read more