Answer:

Step-by-step explanation:
The exponential function that decrease by 15% every time x increases by 1 is given by:

We simplify the parenthesis to get:

Therefore the decrease by 15% every time x increases by 1 is

The second choice is correct.
17/30 feet
Explanation:
Blue fish: 2/15 feet long
Orange fish: 7/10 feet long
Subtract the orange fish’s length by the blue fish’s:
7/10 - 2/15
Find LCD- 30
Multiply both denominators of each fraction by a number that makes both 30 (whatever that number is multiply that also to both nunerators):
7 • 3 / 10 • 3 = 21/30
2 • 2 / 15 • 2 = 4/30
SUBTRACT:
21/30 - 4/30 = 17/30
FINAL ANSWER: the orange fish is 17/30 feet longer than the blue fish.
BRAINLIEST PLEASE! Have a nice day
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.
Before you will sum up the following equation, first you must multiply the first equation by two and came up with 16x+14y=78 and then add it to the second equation which is 4x-14y=-68 and the remaining variable is 20x=10 then get the value of X and the value is 1/2 or 0.5. I hope you are satisfied with my answer