Let b be the universal body of students at a university.
let
s(x) stand for "x is smart".
y(x) stand for "y is young".
c(x) stand for "x is a cs major"
translate the following sentences into quantified formulas.
1- all cs majors are smart
2- some cs majors are smart and not young.
3- no young college students are cs majors.

Step-by-step explanation:

Given that

S(x) stand for "x is smart".

Y(x) stand for "y is young".

C(x) stand for "x is a CS Major"

1) All CS majors are smart :       C(x) ⇒ S(x)

2) Some CS majors are smart and not young.:     There exists a∈C(x) such that a ∉ Y(x)

3) No young college students are CS majors.:   ~Y(s)⇒CS(x)

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

51

step-by-step explanation:

73-22=51 the   mass number minus the amount of protons gives you the amount of neutrons