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Grades like Good (3.50) or Excellent (5.75) are common. Any passing grade at or above the .50 mark is prefixed with the term of the next higher grade. The lowest grade is 2.00; grades below 3.00 are failing grades, and the highest is 6.00.
The sum 31 multiplied by 16 (the 5th term in the series) equals 496, which is a perfect number. Book IX, Proposition 35, proves that in a geometric series if the first term is subtracted from the second and last term in the sequence, then as the excess of the second is to the first—so is the excess of the last to all those before it.
In the example below, the divisor is 101 2, or 5 in decimal, while the dividend is 11011 2, or 27 in decimal. The procedure is the same as that of decimal long division; here, the divisor 101 2 goes into the first three digits 110 2 of the dividend one time, so a "1" is written on the top line. This result is multiplied by the divisor, and ...
In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...
In astronomy, dark matter is a hypothetical form of matter that does not interact with light or other electromagnetic radiation.Dark matter is implied by gravitational effects which cannot be explained by general relativity unless more matter is present than can be observed.
The fraction 1 / 49 is a repeating decimal with a period of 42: 1 / 49 = 0. 0204081632 6530612244 8979591836 7346938775 51 (42 digits repeat) There are 42 positive integers less than 49 and coprime to 49. (42 is the period.)
Seven is the lowest natural number that cannot be represented as the sum of the squares of three integers. A seven-sided shape is a heptagon. [17] The regular n-gons for n ⩽ 6 can be constructed by compass and straightedge alone, which makes the heptagon the first regular polygon that cannot be directly constructed with these simple tools. [18]
The EU has a long-term budget, named Multiannual Financial Framework (MFF), of €1,082.5 billion for the period 2014–2020, representing 1.02% of the EU-28's GNI. [50]The overall budget for the period 2021-2027 is of €1.8 trillion combining the MFF of €1,074.3 billion with an extraordinary recovery fund of €750 billion, known as Next Generation EU, to support member states hit by the ...