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Is 47 a prime number?

To test whether 47 is prime, a trick is to first find the smallest perfect square that is greater than 47. In this case, it is 7 x 7 = 49. Therefore, if 47 divides evenly into any numbers, one of the factors would have to be 7 or less. Then, it is easy to divide 47 by each of 2, 3, 4, 5, 6 and 7 to see that none of them divide evenly, meaning 47 must be prime.

What is a good way to go about classifying conic sections?

When defining conic sections, mathematicians assume that the cone is a doubly infinite cone, meaning two cones that meet at a common apex and extend symmetrically on both sides of the apex infinitely. An ellipse is formed when the intersection of cone and plane results in a closed curve. A circle is a special kind of ellipse formed when the plane intersects the cone perpendicular to the symmetrical axis of the cone. If the plane intersects the cone parallel to one generating line of the cone, the resulting section is a parabola. If the plane cuts through the cone parallel to the symmetrical ax..

What is the opposite of mutually exclusive?

Two things that are mutually exclusive are related to each other in such a way that each one makes the other one impossible. If two concepts are mutually exclusive, they cannot both be factual and correct at the same time. Therefore, terms that are the opposite of "mutually exclusive" must indicate that the items described can, in fact, work together in total harmony.

How do I read Roman numerals?

Know each symbolIn Roman numerals, M equals 1,000, D equals 500, C equals 100, L equals 50, X equals 10, and I equals one. Add numbers when bigger is followed by smallerWhen a larger number is followed by a smaller number, such as XI, the numbers are added. Thus, XI = 10 + 1 = 11.Subtract numbers when smaller is followed by biggerWhen it is the opposite, such as IX, the smaller number is subtracted from the bigger number.\n\nSo, IX = 10 - 1 = 9.Use only three of the same symbol togetherWhen using multiple numbers of the same value, no more than three of the same symbol should appear together...

How do you find the mode of a data set?

Determine the data values\nDetermine the value of each datum in the set. They should be in the same units.\nArrange the data values\n\nArrange the data values in ascending order.Determine the frequency of each datum value\nFind out how many times each datum value appears in the set.\nFind the mode\nFind the data values that appear most often in the set. This is the mode. For example, in the data set 2, 4, 7, 7, 8, 9, the mode is 7, since it appears most often. \n

Who is the father of mathematics?

Archimedes was born in 287 BC in Sicily, Italy, and died when he was 75 years old during a Roman battle in Syracuse. Besides being a mathematician, he was a brilliant physicist, engineer, astronomer and inventor. He is known for the Archimedes Principle as well as hydrostatistics and infinitesimals. In addition, he also defined the spiral that now bears his name as well as an ingenious method for expressing very large numbers.

How do you solve equations with PEMDAS?

Solve parts of an equation that occur within parenthesesUse the example equation (4x + 3x) - 5 + 4 - 10x/5 = 4 as a starting point. The terms 4x and 3x are in parentheses so these should be added first.Resolve exponents if any existTo avoid confusion, the terms inside parentheses are solved first and the exponent is applied to the variable. The coefficient is not affected.Multiply and divide terms that call for itDividing 10x by 5 yields 2x. The equation is simplified to 7x - 5 + 4 - 2x = 4.Add and subtract as necessary by combining like termsLike terms are variables of the same degree or powe..

What is vedic math?

The sutras take poetic form because the Indians in the Vedic age wrote all technical knowledge, including textbooks, in such verses. This was done to make memorization easier and to lighten the burden of education. A single sutra can describe a variety of applications. An example is the phrase "All from 9 and the last from 10," which can be applied to the problem of subtracting 4,679 from 10,000. Using this phrase, each digit in 4,679 is subtracted from 9, while the last digit is subtracted from 10, giving a difference of 5,321.\nThe treatises that make up Vedic mathematics also lay the founda..

What are a few construction formulas?

The Pythagorean Theorem, which is for right triangles, states that the hypotenuse C squared is equal to the square root of side A squared and side B squared. For squaring walls, the formula is useful for forming proportions to square large walls. This is because carpenters or builders can use the 3-4-5 rule given by the Pythagorean Theorem, or that 32 + 42 = 52. With the the 3-4-5 rule, a carpenter knows that the proportion 9-12-15 is correct when squaring a larger wall.Another important construction formula is for calculating the amount of concrete to order for slabs in cubic yards. The formu..

How do you find the values of x and y on a linear inequality graph?

Ordered pairs that have values that, when substituted into the linear inequality, make the inequality a true statement are the same pairs that satisfy the inequality. The opposite is true for ordered pairs with values that make the inequality a false statement.\nA crucial point to note in finding the correct values of x and y is that if the graph plotted has a continuous boundary line, it means that ordered pairs of points located on the line are part of the solution. However, ordered pairs located on broken boundary lines are not part of the solution and must not be considered as viable point..

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