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Anton [14]
3 years ago
12

If p is true and q is false, then p ∧ ~q is true.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
5 0

Answer:

  True

Step-by-step explanation:

  true ∧ (not false) . . . . . . . has a truth value of <em>True</em>

_____

The "and" operator gives <em>true</em> if all of its operands are <em>true</em>.

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Question 2 Write the following paragraph proof as a two-column proof. Given: AB = CD and BC = DE Prove: AC = CE A B C D E We're
alex41 [277]

Answer: See below

Step-by-step explanation:

<u>Given:</u>

AB = CD and BC = DE

<u>To prove:</u>

AC = CE

            Statements                                       Reasons

  1. AB = CD                                                   Given
  2. AB + CB = CD + BC                Addition property of equality
  3. AB + BC = CD + DE                          Given: BC = DE
  4. AC = CE          By segment addition: AB + BC = AC and CD + DE = CE  

Therefore, AC = CE has been proved                

8 0
2 years ago
Use the given information to find the new price. Round to the nearest cent.
sesenic [268]

Answer:

Step-by-step explanation:

7.84 = 8.

3 0
2 years ago
Read 2 more answers
Please answer this worth 10 points<br><br> look in the image plz
Pachacha [2.7K]
1) It’s true because -5 is way smaller than 3. All the negatives are below the 0 and everything below the 0 is lower than everything above the 0.

2) false. it’s false because in order -5 isn’t even close to 3

3) false.. It’s false because when you have those 2 line that are covering the -5 that means it’s “transforming” into a positive number. So therefore it’s would be 5>3 that would make it true.

4) True. it’s true because like I said the to lines mean the absolute value of something. So it’s being switch to a positive number


Hope this helps :)
5 0
2 years ago
Read 2 more answers
My calculator wasn’t working for this I’m not sure how to solve it but help would be coolio
ziro4ka [17]

We know that:

_nP_k = \dfrac{n!}{(n-k)!}

so in this case n = 5, k=3 and:

_5P_3=\dfrac{5!}{(5-3)!}=\dfrac{5!}{2!}=\dfrac{5\cdot4\cdot3\cdot2\cdot1}{2\cdot1}=\dfrac{120}{2}=\boxed{60}

4 0
3 years ago
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
Nata [24]

Answer:

The equations represent the situation is y=2x+6 and y=5+3x.

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.

<em>y</em>, is equal to twice the sum of a smaller number and 3.    

This information can be written as: y=2(x+3)

Which can be further solve as:

y=2x+6

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: y=5+3x

Thus, the equations represent the situation is y=2x+6 and y=5+3x.

Which can be further solve as:

2x+6=5+3x

x=1

Now, substitute the value of <em>x</em> in y=5+3x.

y=5+3

y=8

3 0
3 years ago
Read 2 more answers
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