Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.
3. Given: If a number is divisible by 4, then the number is divisible by 2. 12 is divisible by four.
Conclusion: 12 is divisible by 2.
SOLUTION:
If p → q is a true statement and p is true, then q. Here, a number divisible 4 is divisible by 2 also and 12 is divisible by 4. So, 12 is divisible by 2 is a valid statement by the Law of Detachment.
ANSWER:
valid; Law of Detachment
4. Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
SOLUTION:
If p is true, then q is true, but q being true does not necessarily mean that p is true. Elan could be tired because he worked out. So, the statement is invalid.
ANSWER:
Invalid; Elan could be tired because he worked out.
eSolutions Manual - Powered by Cognero
Answer: x = 10
Step-by-step explanation:
(
4
x
−
5
)
=
7
(
x
−
5
)
Simplify 7
(
x
−
5
)
.
4
x
−
5
=
7
x
−
35
Move all terms containing x to the left side of the equation.
−
3
x
−
5
=
−
35
Move all terms not containing x to the right side of the equation.
−
3
x
=
−
30
Divide each term by −
3 and simplify.
x
=
10
Answer:
x = 0 and y = -3
Step-by-step explanation:
3 (0) = 0
2 (-3) = -6
So the answer would be x = 0 and y = -3
In its simplest form, Torricelli's law states that water in a tank will escape through a (small) hole in the bottom with the same speed that it would attain falling from the same height to the level of the hole. ... velocity, g is the acceleration due to gravity, and h is the height of the fluid in the container. Hope that helps!
The answer will be -8
hope this help!!!!!!!!!
