To determine if a function is one-to-one (also known as injective), you need to check if each element of the function’s domain maps to a unique element in its codomain. In simpler terms, a function is one-to-one if no two different inputs produce the same output. Here’s a step-by-step approach to check if a function … Read more
There are 1,000,000 cubic centimeters (cm³) in a cubic meter (m³). This relationship can be understood through the conversion factors involving measurements of length: 1. A cubic meter is defined as the volume of a cube with edges that are 1 meter long. Since there are 100 centimeters in a meter, the dimensions of the … Read more
To calculate 1 percent of 7 billion, you can follow a simple mathematical formula. First, convert the percentage into a decimal. In this case, 1 percent is equal to 0.01 (since you divide by 100). Next, you multiply 7 billion by this decimal. Here’s the calculation breakdown: 1 percent = 1/100 = 0.01 7 billion … Read more
How to Find the Surface Area of a Trapezoidal Prism A trapezoidal prism is a three-dimensional shape with two parallel trapezoidal faces, along with rectangular faces connecting the corresponding sides of the trapezoids. Calculating the surface area of a trapezoidal prism involves understanding the dimensions of its various faces. Here’s a detailed step-by-step guide to … Read more
To calculate the probability of drawing an ace or a 9 from a standard deck of 52 playing cards, we’ll start by identifying the total number of favorable outcomes and the total number of possible outcomes. A standard deck of cards contains: 4 aces (one from each suit: hearts, diamonds, clubs, spades) 4 nines (also … Read more
To calculate 1.2 to the power of 5, we need to multiply 1.2 by itself five times. In mathematical terms, it’s written as: 1.2 x 1.2 x 1.2 x 1.2 x 1.2 Let’s break it down step by step: First, 1.2 x 1.2 = 1.44 Next, 1.44 x 1.2 = 1.728 Then, 1.728 x 1.2 … Read more
To find the surface area of a sphere when you have its volume, you can use the formulas for both the volume and surface area of a sphere. The formula for the volume (V) of a sphere is given by: V = \frac{4}{3} \pi r^3 where r is the radius of the sphere. And the … Read more
The area of a rectangle can be calculated using the formula: Area = Width × Length In this case, we have: Width = 8 inches Length = 12 inches Now, plug in the values: Area = 8 inches × 12 inches = 96 square inches Therefore, the area of the rectangle is 96 square inches. … Read more
In the Gregorian calendar, which is the calendar system most commonly used today, there are a total of seven months that have 31 days. These months are: January March May July August October December This means that over half of the months in a year have the maximum number of days, which adds to the … Read more
Understanding Real Numbers In mathematics, a real number is any value that can be found on the number line. This includes all the integers, fractions, and irrational numbers. Simply put, real numbers encompass a wide variety of numeric types, and they are a fundamental concept in both algebra and calculus. Types of Real Numbers Real … Read more