Answer:
"The Hulk is not green AND the Iron Man is not red"
Step-by-step explanation:
DeMorgan's laws state that the negation of an statement whose structure is "p OR q" is "not p AND not q", and similarly, that the negation of an statement whose structure is "p AND q" is "not p OR not q". The statement we want to negate in our case is "The Hulk is green OR the Iron Man is red". This is an statement whose structure is of the type "p OR q", where p would be "The Hulk is green", and q would be "the Iron Man is red". So according to DeMorgan's laws, its negation should be the statement "not p AND not q". To put them in common english, not p would be "The Hulk is NOT green", and not q would be "The Iron Man is NOT red". So the statement "not p AND not q" is simply "The Hulk is not green AND the Iron Man is not red".
Answer:
3 8/9
Step-by-step explanation:
1.) Convert each fraction from a mixed number to a improper fraction (to do that multiply the denominator with the whole number then add the numerator, the improper fraction denominator will remain the same as the mixed number denominator):
14/3 ÷ 6/5
2.) Solve
a. To divide the fractions, Flip the reciprocal, and multiply the fractions
14/3 x 5/6
b. Check if you can reduce the numbers, which you can 14 and 6 can be both divided by 2:
7/3x5/3
c. Multiply fractions (simply by multiplying across):
35/9
3.) Simplify numbers into mixed fraction (or decimal):
3 8/9
Answer:
r = -3.2
Step-by-step explanation:
-0.6(r+0.2) = 1.8
Divide by -.6
-0.6/-.6(r+0.2) = 1.8/-.6
r+.2 = -3
Subtract .2 from each side
r+.2-.2 = -3-.2
r = -3.2
Answer:
364 collections
Step-by-step explanation:
Given;
Number of possible books n = 14
Number of books to be selected r = 3
For the case above, three books needs to be selected from 14 with no particular/given order. So, the order of books are not relevant.
This makes it a combination;
The number of possible collection is;
N = nCr = n!/r!(n-r)!
Substituting the given values;
N = 14/3!(14-3)!
N = 364
Answer:
W'(-3,3) V'(-4,3) U'(-4,5)
Step-by-step explanation:
The mapping for 90 degrees counterclockwise rotation is;
The given points have coordinates: W(3,3) V(3,4) U(5,4)
This implies that:
The required points of the image are:
W'(-3,3) V'(-4,3) U'(-4,5)
