Consider have x^(p/q) where the base, x, is a whole number. p and q are also whole numbers (q is not 0) so that the exponent, p/q, is a fraction. Then x^(p/q) = (x^p)^(1/q), that is, the qth root of x^p or equivalently, x^(p/q) = [x^(1/q)]^p, that is, the pth power of the qth root of x. For example, 64^(2/3) = 3rd root of 64^2 = 3rd [cube] root of 4096 = 16 or (cube root of 64)^2 = 4^2 = 16. If p/q is negative, the answer is the reciprocal of the answer obtained with positive p/q.
P = 4*a (a is side length) Area = p*q/2 (p=perimeter, q=diagonal
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In probability theory, if ( p ) represents the probability of an event occurring, then ( q ) is typically defined as the probability of the event not occurring. Therefore, if ( p = 0.35 ), you can calculate ( q ) using the formula ( q = 1 - p ). Thus, ( q = 1 - 0.35 = 0.65 ).
q= p/(row)gh
Converse: If p r then p q and q rContrapositive: If not p r then not (p q and q r) = If not p r then not p q or not q r Inverse: If not p q and q r then not p r = If not p q or not q r then not p r
Yes it is. There is no fraction which, when cubed, equates to 5. Consider n = p/q where p and q are integers expressed in lowest terms (they are relatively prime). If n3 = 5, then p3 / q3 = 5. This equates to an integer if and only if q3 = 1 meaning q = 1 or if p3 is divisible by q3. The latter is impossible since p and q are relatively prime. Thus, for n to be the cube root of 5 and be rational, it must be an integer. No integer cubes to 5 (1, 8, ...). Thus, the cube root of 5 is irrational.
f(x) = P(x)/Q(x) where P(x) and P(x) are polynomials and P(x) is not zero.
The shortest path from P to Q along the surface of the cube will be one that goes from P, to the center point on any edge, to the opposite side, and then to Q. The length of that will be L + L/2 + L/2, or 2L, where L is the length of any side of the cube. We are told that this distance is equal to 2√2, so we can say: 2L = 2√2 cm ∴ L = √2 cm The volume of the cube will be that length, cubed, or L3, which means we can say: V = L3 ∴ V = (√2 cm)3 ∴ V = (21/2)3 cm3 ∴ V = 23/2 cm3
The sum of p and q means (p+q). The difference of p and q means (p-q).
q + p
Not sure I can do a table here but: P True, Q True then P -> Q True P True, Q False then P -> Q False P False, Q True then P -> Q True P False, Q False then P -> Q True It is the same as not(P) OR Q