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Serga [27]
2 years ago
11

Need help solving this problem

Mathematics
1 answer:
Molodets [167]2 years ago
4 0

Answer:

Step-by-step explanation:

q is TFTF

~q use negation, not q so is the opposite of q : FTFT

p↔~q use biconditional ,and will be True only is both statements are T or both are F

p values are TTFF ↔~q values are FTFT : FTTF

(p↔~q )∧~q use conjunction, that is True only if both statements are T

(p↔~q ) values are FTTF ∧~q values are  FTFT : FTFF

(p↔~q )∧~q → p use a conditional statement, where only True False will give a F

(p↔~q )∧~q values are FTFF → p values are TTFF : TTTT

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Let p, q, and r represent the following statements"
-BARSIC- [3]

Answer:

Step-by-step explanation:

$$a. Sam had pizza last night and Chris finished her homework.\\p\wedge q\\\\$b. Chris did not finish her homework and Pat watched the news this morning.$\\\neg q \wedge r\\\\$c. Sam did not have pizza last night or Chris did not finish her homework.$\\\neg p \vee \neg q\\\\

$$d. Either Chris finished her homework or Pat watched the news this morning, but not both.$\\q\vee r\\\\$e. If Sam had pizza last night then Chris finished her homework.$\\p \rightarrow q\\\\$f. Pat watched the news this morning only if Sam had pizza last night.$\\p\leftrightarrow r\\\\

$$g. Chris finished her homework if Sam did not have pizza last night.$\\\neg p \rightarrow q\\\\$h. It is not the case that if Sam had pizza last night, then Pat watched the news this morning.$\\\neg (p\rightarrow r)\\\\

$$i. Sam did not have pizza last night and Chris finished her homework implies that Pat watched the news this morning.$\\(\neg p \wedge q) \Rightarrow r\\\\ $j. q\Rightarrow r$\\Chris finished her homework implies that Pat watched the news this morning.\\\\

$$k. p \Rightarrow (q \wedge r)$\\Sam has pizza last night implies that Chris finished her homework and Pat watched the news this morning.$\\\\

$$l. \neg p \Rightarrow (q \vee r)$\\Sam did not have pizza last night implies that Chris finished her homework or Pat watched the news this morning.$\\\\

$$m. r \Rightarrow (p \vee q)$\\Pat watched the news this morning implies that Sam had pizza last night or Chris finished her homework$

3 0
3 years ago
1,030 at 4% compounded semiannually for 2 years
kotegsom [21]

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

A= P(1+\frac{r}{n})^{nt}  \\

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

A= 1030(1+\frac{.04}{2})^{(2)(2)}  \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125

This rounds up to $1114.91

6 0
3 years ago
Who goes to Edgewood Middle School in Ninety Six SC
lesya692 [45]

Answer:

nope

Step-by-step explanation:

but it's probably better than where i am

5 0
3 years ago
Evaluate the expression
andreev551 [17]

Step-by-step explanation:

this is correct answer thank you

3 0
3 years ago
What property is (3x10)x8=3x(10x8)
mylen [45]
(3 x 10) x 8 = 3 x (10 x 8)
this is called the associative property of multiplication.
it states : (a * b) * c = a * (b * c)
7 0
3 years ago
Read 2 more answers
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