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Conversely the period of the repeating decimal of a fraction c / d will be (at most) the smallest number n such that 10 n − 1 is divisible by d. For example, the fraction 2 / 7 has d = 7, and the smallest k that makes 10 k − 1 divisible by 7 is k = 6, because 999999 = 7 × 142857. The period of the fraction 2 / 7 is ...
Arithmetic values thought to have been represented by parts of the Eye of Horus. The scribes of ancient Egypt used two different systems for their fractions, Egyptian fractions (not related to the binary number system) and Horus-Eye fractions (so called because many historians of mathematics believe that the symbols used for this system could be arranged to form the eye of Horus, although this ...
It can be seen from the tables that the pass rate (score of 3 or higher) of AP Calculus BC is higher than AP Calculus AB. It can also be noted that about 1/3 as many take the BC exam as take the AB exam. A possible explanation for the higher scores on BC is that students who take AP Calculus BC are more prepared and advanced in math.
The convergents of the continued fraction for φ are ratios of successive Fibonacci numbers: φ n = F n+1 / F n is the n-th convergent, and the (n + 1)-st convergent can be found from the recurrence relation φ n+1 = 1 + 1 / φ n. [32] The matrix formed from successive convergents of any continued fraction has a determinant of +1 or −1.
Blood is a body fluid in the circulatory system of humans and other vertebrates that delivers necessary substances such as nutrients and oxygen to the cells, and transports metabolic waste products away from those same cells.
Mexico, [a] [b] officially the United Mexican States, [c] is a country in the southern portion of North America.Covering 1,972,550 km 2 (761,610 sq mi), [11] it is the world's 13th largest country by area; with a population of almost 130 million, it is the 10th most populous country and has the most Spanish speakers in the world. [1]
Natural uranium contains about 0.72% 235 U. Depleted uranium has lower mass fractions—up to three times less—of 235 U and 234 U than natural uranium. Since 238 U has a much longer half-life than the lighter isotopes, DU is about 40% less radioactive than natural uranium.
The following table illustrates the range of viscosity values observed in common substances. Unless otherwise noted, a temperature of 25 °C and a pressure of 1 atmosphere are assumed. The values listed are representative estimates only, as they do not account for measurement uncertainties, variability in material definitions, or non-Newtonian ...
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