devyy The average mass of an adult can vary significantly depending on various factors including region, lifestyle, gender, and health. However, as a general guideline, the average adult weight globally tends to fall within the range of 60 to 80 kilograms (132 to 176 pounds). For adult males, the average weight is typically around 70 to … Read more
To find the equation of a circle given its diameter endpoints, we first need to determine the center and the radius of the circle. The endpoints of the diameter are the points (8, 2) and (2, 6). Step 1: Calculate the center of the circle. The center of the circle can be found by averaging … Read more
To find the value of x, we need to set the two expressions for f(x) equal to each other based on the information provided: Given the functions: f(x) = 2x + 7 f(x) = 1 We start by equating the two: 2x + 7 = 1 Now, let’s solve for x: Subtract 7 from both … Read more
To find the inverse of the function f(x) = x^12, we need to follow a series of steps. The goal of finding an inverse function is to express the dependent variable (y) in terms of the independent variable (x), and vice versa. 1. Start with the original function: We begin with: y = x^12 2. … Read more
To solve the problem, we need to establish the relationship between the angle and the value of x in the context of the triangle. Let’s denote the angle as θ. As per the information provided, θ increases at a constant rate, specifically at 3 radians per minute. Given the triangle, we can use trigonometric relationships … Read more
The circumference of a circle can be calculated using the formula: C = 2πr where: C represents the circumference of the circle. r is the radius of the circle. π (pi) is a constant that approximately equals 3.14159. If you have the diameter of the circle, you can also express the circumference using the diameter: … Read more
To find the coefficient of the term x7y in the expansion of x(y8), we can start by analyzing the expression involved in the expansion. The expression x(y8) simplifies directly to xy8. Here, we identify that we’re dealing with a product of two variables: x and y. This expression does not expand further into any additional … Read more
To find the area of the shaded region in a given figure, we must first understand the shapes involved and their dimensions. Here’s a step-by-step approach: Step 1: Identify the Shapes Look closely at the figure and identify the different geometric shapes that make up the entire area. Common shapes include rectangles, circles, triangles, etc. … Read more
To determine the volume of a block of ice (or any rectangular prism), you can use the formula: Volume = Length × Width × Height For the block of ice in question: Length: 3 meters Width: 1.5 meters Height: 2 meters Now, plug these dimensions into the volume formula: Volume = 3 m × 1.5 … Read more
To solve the quadratic expression 4x² + 9x + 4, you can apply the quadratic formula, which is given by: x = (-b ± √(b² – 4ac)) / (2a) In this expression, the parameters are defined as follows: a = 4 (the coefficient of x²) b = 9 (the coefficient of x) c = 4 … Read more