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.
Divide 1000 by 8 which would give you 125. So they have 125 cans and they need to collect 8 times as many, meaning 8 times of what they have which is 125. And 125 times 8 is equal to 1000. YOU'RE WELCOME :D
Answer:
She didn't take the LCM, made an error while cross multiplying
x = -6
Step-by-step explanation:
a)she didn't take the LCM before cross multiplying.
Also, didn't cross multiply correctly
b) 1 -2/(x-2) = (x+1)/(x+2)
1 - 2/(x-2) = (x+2-1)/(x+2)
1 - 2/(x-2) = 1 - 1/(x+2)
1 - 2/(x-2) = 1 - 1/(x+2)
-2(x+2) = -1(x-2)
-2x-4 = -x+2
x = -6
X=-6
You get all the X to one side, and all the numbers to the other. Then divide. Work is shown in image below.
Answer:
let the past stay in the past
Step-by-step explanation: