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The average value of land and buildings per acre, based on our sample from the farm, is calculated to be $1,500. This figure represents the mean, which is the central point of our data set. In simpler terms, if you were to take several samples of land and buildings from this farm and calculate their … Read more

To find the quotient of the polynomial expression 3x³ + 10x² + 10x + 4 divided by 2, we will divide each term of the polynomial by 2. Let’s break it down step-by-step: Divide the first term: 3x³ ÷ 2 = rac{3}{2}x³ Divide the second term: 10x² ÷ 2 = 5x² Divide the third term: … Read more

To draw a box and whisker plot (also known as a whisker plot) for the given data set, you’ll want to follow the steps outlined below: Collect Data: Start with the data points: 21, 29, 25, 20, 36, 28, 32, 35, 28, 30, 29, 25, 21, 35, 26, 35, 20, 19. Sort the Data: Rank … Read more

To find the standard form equation of the hyperbola, we start by identifying the key components from the information provided: Vertices: The hyperbola has vertices at (0, 4). Since hyperbolas are defined by their vertices, we can derive the center and the orientation of the hyperbola from this information. Foci: The foci are located at … Read more

To find the solutions for the equation x² + 2x + 4 = 0, we can use the quadratic formula, which is: x = \frac{-b \pm \sqrt{b² – 4ac}}{2a} In our equation, the coefficients are: a = 1 (the coefficient of x²) b = 2 (the coefficient of x) c = 4 (the constant term) … Read more

Converting a repeating decimal to a fraction is a straightforward process that you can accomplish with a few simple steps. Let’s break down the method: Identify the repeating decimal: Suppose you have a repeating decimal, such as 0.666…, which can also be written as 0.ar{6}. Set up an equation: Let x equal the repeating decimal. … Read more

Finding the Measure of Angle D To determine the measure of angle d, we need to set up an equation based on the information provided about the other angles. In a triangle, the sum of all interior angles is always 180 degrees. Therefore, we can express this relationship mathematically: Let: Angle A: 52x + 16 … Read more

The equation you’re dealing with is log₂(x) = 3122. To solve this equation, we need to convert it from logarithmic form to exponential form. The logarithmic form log₂(x) = 3122 can be rewritten as: x = 23122 This transformation tells us that x is equal to 2 raised to the power of 3122. Now, if … Read more

When A and B, the existing partners, decide to admit C into their partnership, certain calculations need to be made to determine the new profit-sharing ratio and the sacrificing ratio. Here’s how we can approach this problem: 1. Initial Ratios: A and B share profits and losses in the ratio of 3:2. – Total parts … Read more

To find the equation of the line that passes through the points (1, 5) and (1, 3), we can start by identifying the characteristics of the line based on these coordinates. Firstly, let’s take a look at the x-values of both points. Since both points have the same x-coordinate (1), we can deduce that the … Read more