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3 years ago

The table shows the distance that two trains are from Center Station at various times of the day.

Mathematics

2 answers:

mash [69]3 years ago

8 0

Answer:

Train 2 is traveling 4 miles per hour faster than train 1.

Step-by-step explanation

:)))))

BARSIC [14]3 years ago

7 0

Answer: Train 2 is traveling 4 miles per hour faster than train 1.

Step-by-step explanation:

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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

The cost of putting in automatic sprinklers for a lawn largely depends upon the length of Poole that must be laid. The controlle

OLga [1]

Answer:

$c(F) = 135 + 2.5F$

Step-by-step explanation:

We are given the following in the question:

Controller cost = $135

System cost = $2.50 per foot of pipeline

The total cost depends upon the length of Pole.

Let the system requires F feet of pipeline.

Total cost will be given by the equation:

$c(F) = \text{Controller cost + System cost(Feet of pipeline required)}\\c(F) = 135 + 2.5F$

is the required expression for total cost

F: feet of pipeline required

c(F): Total cost of installation

5 0

3 years ago

annual salary is 48,000 and she earns 4% commission on all sales they make if they want to make a total of 6,000 this month how

AlekseyPX

Subtract 48,000 from 6,000 divide it by 4=10500.

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3 years ago

Would it be A or B?

Katyanochek1 [597]

Try A
I think this is right
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3 years ago

What type of movie do men prefer much more than women?

Fofino [41]

C .... i hope I could help and that your staying safe .

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4 years ago