Which expression is equivalent to x^-5/3

For each of the following, use logic laws to decide whether the statement is a tautology contradiction, or neither. a (a) (A B)

spayn [35]

Answer:

The statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

The statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

Step-by-step explanation:

A tautology is a proposition that is always true.

A contradiction is a proposition that is always false.

A contingency is a proposition that is neither a tautology nor a contradiction.

a) To classify the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ , you need to use the logic laws as follows:

$(A\rightarrow \lnot B)\land (B\rightarrow A) \equiv$

$\equiv (\lnot A \lor\lnot B)\land(\lnot B \lor A)$ by the logical equivalence involving conditional statement.

$\equiv (\lnot B\lor \lnot A )\land(\lnot B \lor A)$ by the Commutative law.

$\equiv \lnot B \lor (\lnot A \land A)$ by Distributive law.

$\equiv \lnot B \lor (A \land \lnot A)$ by the Commutative law.

$\equiv \lnot B \lor F$ by the Negation law.

Therefore the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

b) To classify the statement $(P\rightarrow \lnot P)\land P$ , you need to use the logic laws as follows:

$(P\rightarrow \lnot P)\land P \equiv$

$\equiv (\lnot P \lor \lnot P)\land P$ by the logical equivalence involving conditional statement.

$\equiv P \land (\lnot P \lor \lnot P)$ by the Commutative law.

$\equiv (P \land \lnot P) \lor (P \land \lnot P)$ by Distributive law.

$\equiv F \lor F \equiv F$ by the Negation law.

Therefore the statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

8 0

3 years ago

Cual es el resultado de truncar a milésimos (3 decimales) 2/7 cuando lo convertimos a número decimal

Whitepunk [10]

The value of 2/7 expressed as a truncated decimal to the nearest thousandth is 0.286

Rational numbers are numbers written as the ratio of two integers. For example, the fraction 2/7 given is a rational number.

Expressing 2/7 as a decimal number will give;

2/7 = 0.2857142... (It gave repeated decimal values)

Truncating the repeating decimal to the nearest thousandth means writing the decimal to 3 decimal places

0.2857142 = 0.286 (to the nearest thousandth)

Hence the value of 2/7 expressed as a truncated decimal to the nearest thousandth is 0.286

Learn more here: brainly.com/question/24643812

4 0

3 years ago

Read 2 more answers

Solvex State the theorem that may be applied to solve the problem Oven G biedts 26

leonid [27]

Answer:

wedsadwadswds

Step-by-step explanation:

6 0

3 years ago

One third of fifteen is

diamong [38]

Answer:

Its 5

Step-by-step explanation:

15/3 is 5. Goodluck man

7 0

3 years ago

Read 2 more answers

REASONING An even integer can be represented by the expression $2n$ , where $n$ is any integer. Find three consecutive even inte

san4es73 [151]

Answer:

First Integer = 16

Second Integer = 18

Third integer = 20

Step-by-step explanation:

An even integer is represented by 2n

Where n is any integer

Let :

First Integer = 2n - 2

Second Integer = 2n

Third integer = 2n + 2

The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2

= 2n + 2n + 2n - 2 + 2 = 54

= 6n = 54

n = 54/6

n = 9

First Integer = 2n - 2 = 2(9) - 2

= 16

Second Integer = 2n = 2(9)

= 18

Third integer = 2n + 2 = 2(9) + 2

= 20

8 0

3 years ago