Answer:
(i) A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
Since A ∧ B (the symbol ∧ means A and B) is true only when both A and B are true, its negation A NAND B is true as long as one of A or B is false.
Since A ∨ B (the symbol ∨ means A or B) is true when one of A or B is true, its negation A NOR B is only true when both A and B are false.
Below are the truth tables for NAND and NOR connectives.
(ii) To show that (A NAND B)∨(A NOR B) is equivalent to (A NAND B) we build the truth table.
Since the last column (A NAND B)∨(A NOR B) is equal to (A NAND B) it follows that the statements are equivalent.
(iii) To show that (A NAND B)∧(A NOR B) is equivalent to (A NOR B) we build the truth table.
Since the last column (A NAND B)∧(A NOR B) is equal to (A NOR B) it follows that the statements are equivalent.
The answer would be D. It says the length is 10 millimeters less than TWICE the width, so it would be 10 millimeters greater than the original width.
Answer:
m < 4 = 44 degrees
Step-by-step explanation:
Here, we want to find the value of the given angle.
Mathematically, when two angles are complement of each other, they add up
to be 90 degrees. These angles are termed complementary angles.
Thus, by mathematical convention is this present case;
m <3 + m< 4 = 90
46 + m<4 = 90
m<4 = 90-46
m< 4 = 44 degrees
Answer:
The fourth answer: A person's weight, w, on the moon is 1/6 her weight on Earth, e.
Step-by-step explanation:
The equation must be translated carefully into word form.
Her weight on Earth is represented by <em>e</em>.
"e x 1/6" into "1/6 her weight on Earth, e"
Her weight on the moon is represented by <em>w</em>.
"= w" into "A person's weight, w, on the moon is"
Another way to translate: 1/6 of a person's weight on Earth, e, is equal to her weight on the moon, w.
I hope this helped :)
