The range of a function is defined as the set of all possible output values it can produce. In this case, we are given a list of values: 2, 0, 4, 3, 2, 9, 0, 5, 5, 7. To find the range, we first need to identify the unique values from this list. We can … Read more
The term “mod” stands for modulo, which is a mathematical operation that finds the remainder when one number is divided by another. In this case, we want to calculate 1 mod 3. To perform this operation, we divide 1 by 3. Since 1 is less than 3, it does not fully divide into 3. The … Read more
When you raise a negative number to the power of 2, you are essentially multiplying that negative number by itself. For example, if you take the negative number -3 and raise it to the power of 2, the calculation would look like this: -3 × -3 = 9 In this case, the two negative signs … Read more
To convert the expression 2 3 x 1 5 into a fraction, we need to first understand what the expression represents. The expression 2 3 can be interpreted as the mixed number 2 and 3 parts. This can be converted into an improper fraction: The whole number 2 can be expressed as 2 = 2/1. … Read more
To find the equation of a line that is perpendicular to a given line and passes through a specific point, follow these steps: Identify the slope of the given line: The equation of the line should be in the slope-intercept form, which is y = mx + b, where m is the slope. If the … Read more
Expressing the whole number 100 as a fraction is quite straightforward. A fraction consists of two parts: a numerator (the top number) and a denominator (the bottom number). Since any whole number can be represented as a fraction by placing it over 1, we can write: 100 = \[ \frac{100}{1} \] This shows that 100 … Read more
When two planes intersect in three-dimensional space, they generally form a line of intersection. This is a fundamental concept in geometry and can be understood through both algebraic and geometric perspectives. To visualize this, imagine two flat sheets of paper extending infinitely in all directions. If you were to hold these sheets at an angle … Read more
A regular hexagon, which is a six-sided polygon with all sides and angles equal, has a total of 6 lines of symmetry. Each line of symmetry can be visualized as a line that divides the hexagon into two mirror-image halves. Here’s how it works: Vertex-to-Vertex Symmetry: There are 6 lines of symmetry that connect each … Read more
The expression 23 x 23 x 23 can be simplified before expressing it as a fraction. First, we need to understand that multiplying the same bases together allows us to add the exponents. In this case, we have: 23 x 23 x 23 = 23 + 3 + 3 = 29 Next, let’s express 29 … Read more
To convert the improper fraction 14/5 into a mixed number, we follow a straightforward process: Divide the numerator by the denominator: In this case, we divide 14 by 5. When you do this, 14 ÷ 5 = 2 with a remainder. Find the remainder: After performing the division, we find that 5 fits into 14 … Read more