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3 years ago

How much more is 3 1/4 than 1 3/4

Mathematics

1 answer:

Stels [109]3 years ago

4 0

Answer:

1 and 1/2

Step-by-step explanation:

3 1/4 is equal to 13/4 and 1 3/4 is equal to 7/4. 13/4 - 7/4 is 6/4. 6/4 equalsn is 1 1/2.

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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)

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

Evaluate: 2-^4=<br> A.1/16<br> B.1/8<br> c. -8<br> D.-16

SIZIF [17.4K]

Answer:

A. 1/16

Step-by-step explanation:

${2}^{ - 4} = \frac{1}{ {2}^{4} } = \frac{1}{16} \\$

6 0

3 years ago

HELP ASAP! I WILL GIVE BRAINLEST! I HAVENT TURNED THIS IN AND ITS DUE TOMORROW.

Studentka2010 [4]

Answer:

332m²

Step-by-step explanation:

the formatting for finding the area of the triangle is base x height x 1/2

so we need to find 8.3 x 10

8.3 x 10 = 83

83/2 = 41.5

there are 8 triangles in this shape so...

41.5 x 8 = 332

so the area of the polygon is 332m²

hope this helped!

- cheesetoasty

6 0

3 years ago

Read 2 more answers

What is the average of 36 26 30 and 28

Art [367]

The average is 30 because 36+26+30+28=120 divided by 4 = 30

4 0

3 years ago

Read 2 more answers

Want to know what differenciation and Calculus is all about?

Alla [95]

Differentiation is part of calculus
differentiation basically allows you to find the gradient of tangent

6 0

3 years ago