devyy To find the list price of the stove when the net price is $900 and the trade discount rate is 40%, we can use the following formula: List Price = Net Price / (1 – Trade Discount Rate) In this case, the trade discount rate is expressed as a decimal: Trade Discount Rate = 40% … Read more
The term “5 raised to the power of 2” means that you multiply the number 5 by itself. In mathematical notation, this is represented as 5². To calculate this, you simply perform the multiplication: 5 × 5 = 25 Therefore, the value of 5 squared, or 5 raised to the power of 2, is 25. … Read more
To find the product of the prime polynomials 8×3 and 2x, we will use the basic principles of polynomial multiplication. First, let’s break down the two polynomials: 8×3: This means 8 times x raised to the power of 3. 2x: This means 2 times x raised to the power of 1. When multiplying these two … Read more
The slope of a line, often represented by the letter m, quantifies the line’s steepness and direction. It can be calculated using the formula: m = (y2 – y1) / (x2 – x1) Here, (x1, y1) and (x2, y2) are the coordinates of the two points on the line. In this case, we have: (x1, … Read more
Understanding the Graph of g(x) = 0.5x³ + 4 The function g(x) = 0.5x³ + 4 is a cubic function characterized by its unique S-shaped curve, known for its turning points and end behavior. Let’s break down its components and how it influences the graph. Key Features of the Function Leading Coefficient: The leading coefficient … Read more
To determine the equation of a parabola given its focus and directrix, we can use the geometric definition of a parabola: a set of points equidistant from the focus and the directrix. In this case, the focus is at the point (40, 0) and the directrix is the vertical line x = 4. The parabola … Read more
To find the equation of a sphere, we use the standard formula: (x – h)² + (y – k)² + (z – l)² = r² In this formula, (h, k, l) represents the center of the sphere, and r is its radius. Given that the center of the sphere is (3, 8, 1), we can … Read more
To determine the length of a rectangle when given the area, you also need to know the width of the rectangle. The formula for the area of a rectangle is: Area = Length × Width Given that the area is 500 square centimeters, we can rearrange the formula to solve for length: Length = Area … Read more
In the realm of probability, understanding the distinction between independent and dependent events is crucial. Let’s break down each concept for clarity. Independent Events Two events are considered independent if the occurrence of one event does not influence the occurrence of the other. In simpler terms, knowing that one event happened provides no information about … Read more
A right rectangular prism, also known as a rectangular cuboid, is a three-dimensional shape that has six faces, all of which are rectangles. To calculate the surface area of this prism, you can use a straightforward formula that accounts for all of its rectangular faces. The formula for the surface area (SA) of a right … Read more