Math

Refine Search

What is a negative minus a negative?

If the negative number being subtracted is the same as the number from which it is subtracted, the answer is zero. For example, -5 - (-5) = 0. If the negative number being subtracted is greater in value than the negative number from which it is being subtracted, the answer is negative. For example, -10 - (-8) = -2. If, however, the negative number being subtracted is less in value than the negative number from which it is being subtracted, the answer is a positive number. For example, -10 - (-12) = 2.

Continue Reading

Why do we use minimum and maximum values when proving limits of Epsilon?

In calculus, y= f(x). Limits describe the approach to a number on either side of the y-axis. For example, if f(x) equals x=1, but x does not equal 2, x becomes undefined when one gets to 2. It remains defined right up to the point at which one bumps into 2 on the x-axis. It resumes being defined as soon as one passes 2 on the x-axis. This means one can reach up to 2 without arriving at 2, for example,1.9, and one can reach 2 from the right side of the number line without actually getting there, for example, 2.1.\nAs one approaches a point on the x-axis, one is also approaching it from the f(x)..

Continue Reading

What comes in groups of six?

The cardboard cartons that six packs of beer and soda used to be exclusively sold in began to be phased out by the ubiquitous plastic set of rings in 1960. They have since been discovered to be a serious form of marine litter which can harm wildlife.\nGroups of six, or a half dozen, are the perfect number of bagels, eggs, pastries, muffins or other grocery items usually sold by the dozen.\nIn poetry, a six-line stanza is known as a sestet. The Italian Petrarchan sonnet form, made up of a rhyming octave and a rhyming sestet, was lampooned in Shakespeare's Sonnet 130.\nA healthy diet is one..

Continue Reading

What is the derivative of e^3x?

The derivative of e^(3x) can be found using the chain rule, in which e^(3x) is written as f(g) and 3x is written as g(x). These values are plugged into the formula f(g(x)) = f'(g(x))g'(x). The derivative of g(x), written as g'(x), is three. The derivative of f(g), also written as f'(g), is e^(3x) because the derivative of e^x is equal to e^x. The resulting product is three times e to the power of three x.

Continue Reading

What is a show work calculator?

Wolfram Alpha uses heuristics combined with basic algorithms to determine the most efficient way to solve a mathematical problem and show the steps used to arrive at its conclusion. The company explains that this service is ideal for helping individuals learn basic mathematics, check their work or receive insight on different ways to solve mathematical problems.

Continue Reading

What does the interquartile range show?

For the simple data set 1, 2, 3, 4, the lower quartile is 1 and the upper quartile is 4. A quartile consists of one-fourth of the data in a set. The interquartile range is from 1 to 4, which means it is equal to 3. A small interquartile range indicates data with low variance.

Continue Reading

What is a proportional relationship?

Two types of proportional relationships are direct and inverse. In a direct relationship, as one object gets larger, the other object gets larger as well. An example of a direct proportional relationship would be buying an item at the grocery store. If one can of green beans costs $1, but you want to buy two cans, then you are seeing a direct proportional relationship in action. You know that the total cost of the two cans will be $2. The two items being compared in this example are the number of cans and the total cost. As the number of cans being purchased goes up, so does the total cost.\nT..

Continue Reading

Where can you find online trigonometry answers and help?

Khan Academy features a basic trigonometry section where students can find explanations of many foundational topics they need to understand before moving on to performing more complex trigonometric calculations. Here, students can learn the meaning and application of SOHCAHTOA, a commonly referenced memory tool in trigonometry classes that helps students remember the nature of the sine, cosine and tangent functions. The first three letters, SOH, serve as a reminder that the sine of an angle in a right triangle is equal to the length of the triangle side opposite the angle divided by the length..

Continue Reading

How do you convert 250 degrees Celsius to Fahrenheit?

Multiply by nineTo begin, take the original degrees in Celsius and multiply by nine. \n\nIn this example: 250 x 9 = 2250.Divide by fiveTake the product from the first step and divide it by five.\n\nContinuing with this example: 2250 divided by five gives 450.Add 32Finally, take the answer from the second step and add 32. \n\nFor this example, 450 plus 32 is 482. So, 250 degrees Celsius is equal to 482 degrees Fahrenheit.

Continue Reading

How do you find the area of an octagon?

Plug a side measurement into the formulaFor example, if one side of an octagon measures 10 centimeters, substitute 10 for s in the formula to give area = 2 * 10^2 * (1+?2). Solve according to the order of operations First calculate 10^2 by multiplying 10 by 10. Ten squared equals 100, so the formula now reads: area = 2 * 100 * (1+?2). Next, multiply two times 100, which equals 200, to give area = 200 * (1+?2). Calculate 1+?2. The square root of two is 1.414 so 1 + 1.414 = 2.414. Finally, multiply 200 by 2.414, which equals 482.8. Add the correct units of measurementThe original side has a mea..

Continue Reading
Showing 1471 to 1480 of 3956 (396 Pages)