Answer:
|-3| = 3 and -|-4| = -4
Step-by-step explanation:
The absolute value function changes the sign to positive, if it isn't already. The usual rules of arithmetic and logic apply to these statements.
|-3| = 3 (true) and -|-4| = -4 (true) ⇒ this statement is true
|-3| = 3 (true) and |-4| = -4 (false) ⇒ this statement is false
-|3| = 3 (false) and |4| = 4 (true) ⇒ this statement is false
|-3| = 3 (true) and -|4| = 4 (false) ⇒ this statement is false
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<em>Additional comment</em>
A compound "and" statement is only true if <u>all</u> of the parts of it are true.
Answer: segment rq
<u>Explanation:</u>
Segments are named by their endpoints. You can start/end with either endpoint. So, qr can also be called rq.
The correct answer is the second one, I already answered it.
Answer:
The correct answer to the following question will be "32 servings".
Step-by-step explanation:
The given values are,
A bag of chips = 24 ounces
Serving size = 3/4 ounces
Servings = ?
Now,
On dividing "24 ounces" by "3/4 ounce", we get
⇒ 
⇒ 
⇒ 
⇒ 
Thus, the bag of chips contains "32" servings.
Answer:
Step-by-step explanation:
Hello, please consider the following.

So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so
is divisible by 3
and we check what happens for k+1

is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that
is divisible by 3 for all positive integers n.
Thanks