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3 years ago

What is 24.3 rounded to the nearest whole number? Need help

Mathematics

2 answers:

strojnjashka [21]3 years ago

8 0

Answer:

Step-by-step explanation:

If the first digit in the fractional part of 24.3 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 24.3 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 3 and 3 is less than 5. Therefore, we simply remove the fractional part to get 24.3 rounded to the nearest whole number as:

34kurt3 years ago

7 0

Answer:

its 24 because the decimal is less than 5

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Answer:

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Step-by-step explanation:

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3 years ago

Prove that P (P) = (QA ~ Q)] is a tautology.

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Answer:

The statement $P \leftrightarrow [(\lnot P) \rightarrow (Q \land \lnot Q)]$ is a tautology.

Step-by-step explanation:

A tautology is a formula which is "always true" that is, it is true for every assignment of truth values to its simple components.

To show that this statement is a tautology we are going to use a table of logical equivalences:

$P \leftrightarrow [(\lnot P) \rightarrow (Q \land \lnot Q)] \equiv$

$\equiv (P \land [(\lnot P)\rightarrow (Q \land \lnot Q)]) \lor(\lnot P \land \lnot [(\lnot P)\rightarrow (Q \land \lnot Q)])$ by the logical equivalences involving bi-conditional statements

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$\equiv (P \land [P\lor (Q \land \lnot Q)]) \lor(\lnot P \land \lnot [ P\lor (Q \land \lnot Q)])$ by the Double negation law

$\equiv (P \land [P\lor (Q \land \lnot Q)]) \lor(\lnot P \land \lnot P\land \lnot(Q \land \lnot Q))$ by De Morgan's law

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

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$\equiv (P) \lor(\lnot (P \lor P)\land T)$ by De Morgan's law

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4 years ago

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3 years ago

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ratelena [41]

Note: You did not mention the ordered pair choices. So, I am letting you clear your concept about taking some sample ordered pairs which anyways would clear your concept.

Answer:

The ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.

Step-by-step explanation:

Given the function

$y= -2x +1$

Any ordered pair which may satisfy the equation would lie on the graph.

Let us determine the x and y-intercepts.

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We know that the x-intercept can be determined by setting y=0, and the solving for x. so

$y= -2x +1$

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Divide both sides by -2

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Determining the y-intercept

We know that the y-intercept can be determined by setting x=0, and the solving for y. so

$y= -2x +1$

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Thus, the x-intercept is (0, 1)

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The graph is also attached.

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3 years ago

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