A:People use algebra in their daily lives when they make decisions about health, fitness, financial and money matters and when cooking. Algebra involves the use of known variables and fixed numbers in equations to find the values of unknown numbers.
A:Quadratic equations govern many real world situations such as throwing a ball, calculating certain prices, construction, certain motions and electronics. They are most often used to describe motion of some sort.
A:The set of all points is called space. Space is taken as the largest possible set in geometry and algebra. Points, lines, line segments, rays, angles and planes are all considered as subsets of space.
A:"Digits" are the symbols or characters used to represent a number visually. A number like five contains one digit, whereas a number like 555 contains three digits. This is easily seen when they are written as numerals: 5 versus 555.
A:Math is useful for economics, science, sports, social fields and a wide range of other areas for making decisions and analyzing information. Basic math skills are essential for many jobs. Math has been a core component of many human advances.
A:A stack of one dollar bills equals $100 and measures .43 inches high, which means that $1 trillion dollar bills would stack to a height of approximately 67,866.16 miles. The moon is about 238,855 miles from the Earth, which would require a stack of $3.5 trillion dollar bills to reach.
A:Before Albert Einstein came up with his equation E=mc^2, the scientific world believed that mass and energy were two independent phenomena in the universe. However certain occurrences, such as radioactive emissions could not be explained by this divide between mass and energy. Einstein worked out the equation by assuming the speed of light was constant to provide the link which would later explain how stars worked as well.
A:A factor is a number or expression that divides another number or expression evenly without a remainder. For instance, two, four, five and 10 are factors of 20 because 20 can be divided by all those smaller numbers an exact number of times. Prime numbers are positive integers greater than one that have exactly two factors. A composite number has more than two factors.
A:A few examples of how logarithms are used in the real world include measuring the magnitude of earthquakes or the intensity of sound and determining acidity. A logarithm explains how many times a number is multiplied to a power to reach another number. It is expressed as loge(x) and is commonly written as ln(x).
A:The definition of a limit in calculus is the value that a function gets close to but never surpasses as the input changes. Limits are one of the most important aspects of calculus, and they are used to determine continuity and the values of functions in a graphical sense.
A:A Pythagorean triple is a set of three positive integers, (a, b, c), such that a right triangle can be formed with the legs a and b and the hypotenuse c. The most common Pythagorean triples are (3, 4, 5), (5, 12, 13), (8, 15, 17) and (7, 24, 25).
A:A Riemann sum is a method of approximating the area under the curve of a function. It adds together a series of values taken at different points of that function and multiplies them by the intervals between points. The midpoint Riemann sum uses the x-value in the middle of each of the intervals.
A:According to class notes from Bunker Hill Community College, calculus is often used in medicine in the field of pharmacology to determine the best dosage of a drug that is administered and its rate of dissolving. Usually, the drug is slowly dissolved in the stomach.
A:The abbreviations "sin," "cos," "tan," "csc," "sec" and "cot" stand for the six trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent. Each function represents a particular relationship between the measure of one of the angles and the ratio between two sides of a right triangle.
A:A pie graph is an effective visual tool used for showing how something breaks into parts. A pie graph is essentially a circle sliced into 100 pieces. Each category or part represented in the pie graph is given a piece of the pie to represent the percentage that it comprises of the whole.
A:Several types of graphs are used for displaying information in mathematics including the bar graph; pie chart or circle graph; histogram; stem and leaf plot; dot plot; scatter plot; and time-series graphs. The type of graph chosen depends on whether the data is quantitative, qualitative or paired.
A:To make a tally chart, single lines are drawn next to one another until reaching five, where the fifth line crosses the four other lines diagonally. This is a simple charting method that can be used quickly for surveys or other needs.
A:Graphs are beneficial because they summarize and display information in a manner that is easy for most people to comprehend. Graphs are used in many academic disciplines, including math, hard sciences and social sciences. They make appearances in corporate settings, serving as useful tools to convey financial information and facilitate data analysis.
A:A line graph is a graph that charts the relationship between two variables or a progression of a single quantity through time. Without the lines connecting points of data, it would be difficult to make sense of the data being presented if there was no overall trend between the dots. A bar graph, on the other hand, is meant to compare two or more statistics, such as population figures.
A:According to the BBC, data is transformed into information after being imported into a database or spreadsheet. Information is defined as a collection of facts or data, whereas data is defined as information organized for analysis or used to reason.