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Semenov [28]
4 years ago
6

Which is equivalent to 5x10^4 ? Select all that apply A) 5 x10,000 B) 5 x100,000 C) 5,000 D) 50,000 E) 50x10^3

Mathematics
1 answer:
NARA [144]4 years ago
3 0

Answer:

D) 50,000

Step-by-step explanation:

5×10^4 is equivalent to 50,000. This is because, when solved, 5×10^4 gives a result of 50,000 as shown below:

10^4= 10*10*10*10= 10,000

5*10= 50

So, 5×10^4= 10,000*50 = 50,000

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Answer:

It makes sense that x equals 12 because 13 is larger than x a little.

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4 years ago
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Use logical equivalences (not a truth table) to reduce p → (q − p) to a tautology t. In other words, you should transform p → (q
schepotkina [342]

Answer:

The statement p\rightarrow (q\rightarrow p) is a tautology.

p\rightarrow (q\rightarrow p)\equiv \lnot p\lor (q\rightarrow p) \equiv \lnot p\lor (\lnot q\lor p) \equiv (p\lor \lnot p) \lor \lnot q \equiv T \lor \lnot q \equiv T

Step-by-step explanation:

We have the following statement:

p\rightarrow (q\rightarrow p)

To reduce the statement to a tautology we need to use the table of logical equivalences as follows:

p\rightarrow (q\rightarrow p)\equiv

\equiv \lnot p\lor (q\rightarrow p) by the the logical equivalence involving conditional statement.

\equiv \lnot p\lor (\lnot q\lor p) by the the logical equivalence involving conditional statement.

\equiv (p\lor \lnot p) \lor \lnot q by the Associative law.

\equiv T \lor \lnot q by the Negation law.

\equiv T by the Domination law.

7 0
3 years ago
Please try to help me I'm almost done with my class lol :)<br> *30 points*
inna [77]
Answer
C= 15cm
R= C
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5 0
3 years ago
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Emi buys 14 balloons. Three are red, four are white, and the rest are blue. Hat is the ratio of blue balloons to the total numbe
Deffense [45]

Answer:

The ratio of blue balloons to the total number of balloons is 1:2.

Step-by-step explanation:

Given:

Total number of balloons = 14

Number of red balloons = 3

number of white balloons = 4

Number of the blue balloons are the rest remaining.

We need to find the the ratio of blue balloons to the total number of balloons.

Solution:

First we will find the number of blue balloons.

Now we know that;

Number of the blue balloons can be calculated by Total number of balloons minus sum of Number of red balloons and number of white balloons.

framing in equation form we get;

Number of the blue balloons = 14-(3+4) =14 -7 =7

Now to find the ratio of blue balloons to the total number of balloons we will divide Number of the blue balloons from Total number of balloons.

framing in equation form we get;

Ratio = \frac{7}{14} = \frac{7\times1}{7\times2}= \frac{1}{2}

Hence the ratio of blue balloons to the total number of balloons is 1:2.

8 0
4 years ago
Find last years salary if, after a 4% pay raise, this years salary is $31,200
lilavasa [31]
The answer should be $29,952.... I hope this helps
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3 years ago
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