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2 years ago

The total distance jim traveled on his bicycle during a 5 hour period is shown in the graph below.

Mathematics

1 answer:

Nonamiya [84]2 years ago

4 0

Answer:

100 miles

Step-by-step explanation:

go on the 5 and look up and see how far.

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60 min is 20 percent of blank min

valkas [14]

If you make 60 become 6 and 20 become 2, then multiply them both by eachother you get 30. Add a zero to compensate for the ones you took out of the other 2 number. There ya go

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2 years ago

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.

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3 years ago

The area of a square is 36 square feet. each side of the square measures

choli [55]

6 ft for each side, bc area is side times side, which 6x6=36

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2 years ago

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Find the remainder when f(x) = x^3 + 14x^2 − 7x − 10 is divided by x − 3.

Elanso [62]

Answer:

122

Step-by-step explanation:

(3)³ + 14(3²) - 7(3) - 10

122

Used remainder theorem

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2 years ago

Monique runs 1/4 mile five times a week. How many miles does she run each week?

dlinn [17]

Answer:

1 and 1/4 of a mile each week

Step-by-step explanation:

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2 years ago

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