Discrete Mathematics Answers

100 kids are asked about weekend plans. 60 go to a football game, 35 go to the movies and 20 do both. How many kids don't do either?

Hello I am doing a degree in Electrical/Electronics Engineering and am having problems with boolean algebra and Karnaugh mapping. Do you have a tutor at this level to help?

Solve the equation

(x+2y)y'=1; y(0)=-1

What does categorical data mean and quantitative data mean?

Given: Collinear points, P, Q, R, and S
PQ=SR

Prove: PR=SQ

Let R be the relation on the set {1,2,3,4,5} containing the order pairs&
(1,1) ,(1,2) (1,3) ,(2,3) (2,4) ,(3,1) (3,4) ,(3,5) ,(4,2) (4,5) ,(5,1) (5,2) ,and (5,4)
Find
1-R^3
2-R^4
3-R^5

Proof that ∀x⇁p(x)≡⇁∃x p(x)
and
Proof that ⇁∀xp(x)≡∃x⇁ p(x)

Show how you derive the sum-of-products expansion of the Boolean function f(x,y,z) = x(~y + ~yz + ~x) + (~xy + y~z)(x~yz + ~xz).

Note* - ~ denotes the complement of an element
ex- ~0 = 1 and ~1 = 0

How many elementary operations are used in the following algorithm?
Step 1 Set S = a, k = 1, and t = a.
Step 2 while k < n
(a) Replace t with t + d
(b) Replace S with S + t
(c) Replace k with k + 1
Endwhile
Step 3 Print S