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Greeley [361]
3 years ago
10

A rectangle has a length of 28 in and a width of 3ft. what is the perimeter of the rectangle?

Mathematics
1 answer:
finlep [7]3 years ago
5 0

Answer: The answer is 62 ft.

Step-by-step explanation:

To find the perimeter, you do 2 times the width and 2 times the length. 3 times 2 equals 6 and 28 times 2 equals 56. 6+56=62

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

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3 years ago
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F(1) = -4
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Answer:

It can go in once with a remainder of 4

Step-by-step explanation:


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Answer: 4(×+1) (×-1)

Step-by-step explanation:

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Probability of both even is 12×12=14. Given they are both even there are 3 possible even numbers: 2,4,6.

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