A trillion is a numerical value represented as 1 followed by 12 zeros. Therefore, if you were to write it out, it would look like this: 1,000,000,000,000 To give you a better perspective, here’s how it breaks down: 1 thousand = 1,000 (3 zeros) 1 million = 1,000,000 (6 zeros) 1 billion = 1,000,000,000 (9 … Read more
No, the square of an integer cannot be negative. Let’s break this down to understand why. An integer is a whole number that can be either positive, negative, or zero. When you square an integer, you multiply that number by itself. For example: If you take a positive integer, say 3, and square it (3 … Read more
In the metric system, the unit used to measure mass is the kilogram (kg). The kilogram is currently defined based on the International System of Units (SI) and has become a fundamental part of scientific and everyday measurements around the world. The kilogram is a base unit, and it is the only SI base unit … Read more
The mathematical expression i to the power of 4, which is written as i4, is equal to 1. To understand why, we first need to recall what i represents. In mathematics, i is the imaginary unit, defined by the equation i = √-1. The powers of i follow a specific cycle: i1 = i i2 … Read more
To convert the improper fraction 6/5 into a mixed number, you need to follow these simple steps: Identify the Whole Number: Divide the numerator (6) by the denominator (5). The whole number part of the mixed number is the quotient. In this case, 6 ÷ 5 = 1. This means our mixed number will have … Read more
To find out what percentage 8 is of 20, we can use a simple formula. Percentages are calculated using the following equation: Percentage = (Part / Whole) × 100 In this case, the ‘part’ is 8 and the ‘whole’ is 20. So we substitute these values into the formula: Percentage = (8 / 20) × … Read more
To determine the slope of a line that is perpendicular to another line, we need to understand a fundamental concept from geometry regarding slopes. The key principle is that the slopes of two perpendicular lines are negative reciprocals of each other. In mathematical terms, if you have a line with a slope m, the slope … Read more
To express the number 8 million in scientific notation, we first start by writing it in standard numerical form, which is 8,000,000. Scientific notation allows us to write large numbers in a more compact form, making it easier to read and work with, especially in scientific and mathematical contexts. The general format for scientific notation … Read more
To simplify the expression 1/tan(x), we can start by recalling the definition of the tangent function in terms of sine and cosine. The tangent of an angle x is defined as: tan(x) = sin(x) / cos(x) So, if we want to simplify 1/tan(x), we can substitute this definition into our expression: 1/tan(x) = 1/(sin(x)/cos(x)) Next, … Read more
The polynomial expression x² can be factored as follows: x² represents x multiplied by itself, so the factorization is: x² = x * x In terms of understanding this factorization, it’s important to recognize that when a variable is squared, it means it’s being used as a factor twice. Therefore, x² can be expressed as: … Read more