Translate each of the following statements (not all of them true) into the language of logic. depending on the statement and your interpretation of it, you may need some or all of the following: quantifiers; "not"; "or"; "and." you may also need to define sets. translate as fully as possible; implicit in many of the statements are hidden quantifiers, often nested, that need be to revealed. but don't introduce quantifiers where they aren't needed in some cases more than one accurate translation is possible, depending on how you interpret the speaker's meaning. for a few statements you may reasonably conclude that no translation is possible. the advantage of quantifiers is their precision; their drawback is their limited applicability. is their limited applicability. a. every woman has a husband. b. a cat likes to nap. c. the sum of an even number and an odd number is odd. d. cyclists don't like february or march.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6