Math
A:
Direct variation exists when a worker is paid based on the number of hours worked. Another example of a direct variation is a taxi fare that varies according to the distance traveled. Direct variation occurs with two variables when the ratio of their values always remains the same. For example, if the value of A is always twice as much as B, they vary directly.
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Q: What are some examples in which the Pythagorean theorem is used in real life?
A: The Pythagorean theorem is used often in construction, in engineering, in architecture, in design, in art and in aeronautics. The theorem states that, given a right triangle with sides a, b and c, where c represents the hypotenuse (or longest side), the sum of the square of the two sides (a squared plus b squared) is always equal to c squared. -
Q: What is a formula equation?
A: A formula equation is a visual representation of a reaction using chemical formulas. A chemical formula is an expression that states the number and types of atoms that make up any given molecule using the symbols for the elements and sub-scripted numbers. -
Q: What is the acceleration of a bullet?
A: The formula for finding the acceleration of a bullet is A = v^2/2l, or velocity squared divided by two times the barrel length. Velocity means muzzle velocity, or the speed at which a bullet leaves the barrel of the gun. -
Q: How do I calculate the volume of a round tank?
A: If the round tank is spherical, the radius of the interior space must be measured; the radius is one-half of the diameter. The volume is equal to the radius cubed multiplied by pi multiplied by 4/3. -
Q: Why is math important in life?
A: Math is important in life because it is used to perform many different daily tasks, such as telling time, reading an odometer, counting change and to make strategic decisions in one's work life. Similarly, nearly every profession uses some form of math. For example, nurses, engineers, bank tellers, pharmacists and stock market analysts use math every day to perform their professional duties well. -
Q: What is the set of all points called?
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. - See More Algebra Questions
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Q: How did Albert Einstein come up with E=mc^2?
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. -
Q: How much money is in a roll of quarters?
A: In the United States, a roll of quarters is worth $10. It includes 40 quarters. -
Q: What are cool math games?
A: A cool math game that is available online is "2048" and is offered as a mobile application. Cool Math 4 Kids offers math games geared toward children, including "The Timernator" and "Arithmetic Game." -
Q: What is a "digit" in math?
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. -
Q: Who is the father of mathematics?
A: Greek mathematician Archimedes is widely considered by many to be the "father of mathematics." He is regarded as one of the leading scientists in classical antiquity and is credited with designing numerous innovative machines, including the screw pump and siege engines. -
Q: What are the notable mathematical problems that feature pi?
A: Some mathematical problems that feature pi are the area of a circle, a circle's circumference, arc length and the different surface area and volume formulas for a cone, sphere and cylinder. In mathematics, the ratio between a circle's circumference and diameter is given as pi. - See More Arithmetic Questions
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Q: How is calculus used in medicine?
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. -
Q: What is the precise definition of a limit in calculus?
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. -
Q: What are the meanings of "sin", "cos", "tan", "csc", "sec" and "cot"?
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. -
Q: How do you calculate the midpoint Riemann sum?
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. -
Q: How are logarithms used in the world?
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). -
Q: How do you calculate bulk density?
A: To calculate bulk density, simply weigh the sample and divide its mass by its volume. Bulk density is commonly used when referring to solid mixtures like soil. Just like particle density, bulk density is also measured in mass per volume. - See More Calculus Questions
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Q: How is data turned into information?
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. -
Q: What are the advantages and disadvantages of a graph?
A: The primary advantage of using a graph or chart in a presentation is that they help the audience to visualize the point of the presentation. Graphs emphasize the main point, make the data more convincing, provide a compact way of presenting information and help audiences stay engaged. Disadvantages of graphs include being time consuming to construct and costly to produce. They also require technology that some may lack. -
Q: How does a graph help people interpret scientific data?
A: Graphs of various types provide convenient visual representations of scientific data that would otherwise be presented in intimidating blocks of text or a series of numbers. Graphs represent statistics such as changes over time, comparisons, or parts of a whole. Graphs can be used to make date more accessible to both scientists and laypersons. -
Q: What is a segmented bar graph?
A: A segmented bar graph is similar to regular bar graph except the bars are made of different segments that are represented visually through colored sections. A segmented bar graph is sometimes known as a stacked bar graph, and it offers greater detail about data sets. -
Q: When do you use a bar graph?
A: A bar graph is used to compare items between different groups and track changes over a period of time. Bar graphs are best used for changes that happen over a large amount of time instead of just months or weeks. -
Q: Why are graphs important?
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. - See More Data Graphs Questions
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