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Constitutionof the United States. Article Five of the United States Constitution describes the procedure for altering the Constitution. Under Article Five, the process to alter the Constitution consists of proposing an amendment or amendments, and subsequent ratification. Amendments may be proposed either by the Congress with a two-thirds vote ...
Cube (algebra) y = x3 for values of 1 ≤ x ≤ 25. In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3. The cube is also the number ...
Hawke v. Smith, 253 U.S. 221 (1920): "[Article V] makes provision for the proposal of amendments either by two-thirds of both houses of Congress or on application of the legislatures of two-thirds of the states, thus securing deliberation and consideration before any change can be proposed. The proposed change can only become effective by the ...
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, it is possible to expand the polynomial (x + y) n into a sum involving terms of the form ax b y c, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending ...
The base 3 appears 5 times in the multiplication, because the exponent is 5. Here, 243 is the 5th power of 3, or 3 raised to the 5th power. The word "raised" is usually omitted, and sometimes "power" as well, so 3 5 can be simply read "3 to the 5th", or "3 to the 5".
The U.S. Congress, whenever a two-thirds majority in both the Senate and the House of Representatives deem it necessary; or; A national convention, called by Congress for this purpose, on the application of the legislatures of two-thirds of the states (34 since 1959). [2] [3] This option has never been used.
With the exceptions of 1, 8 and 144 (F 1 = F 2, F 6 and F 12) every Fibonacci number has a prime factor that is not a factor of any smaller Fibonacci number (Carmichael's theorem). [56] As a result, 8 and 144 ( F 6 and F 12 ) are the only Fibonacci numbers that are the product of other Fibonacci numbers.
A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or , where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include 1 2 , − 8 5 , −8 5 , and 8 −5 .