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EastWind [94]
3 years ago
6

If n and m are integers and n2+m2 is even, which of the following is impossible?

Mathematics
1 answer:
boyakko [2]3 years ago
6 0


None of 

 these imposible hope this helps :)

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Express a decimal number ( ie 0.768) - process description please - as a rational number (96/125)?
Stels [109]

The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

1\cdot10^2+2\cdot10^1+3\cdot10^0+4\cdot10^{-1}+5\cdot10^{-2}+6\cdot10^{-3}

10^{-n}=\dfrac1{10^n} for any n, so the above is the same as

100+20+3+\dfrac4{10}+\dfrac5{100}+\dfrac6{1000}=\dfrac{100000+20000+3000+400+50+6}{1000}=\dfrac{123456}{1000}

Similarly, we can write

0.768=\dfrac{768}{1000}

Now it's a question of reducing the fraction as much as possible. We have \mathrm{gcd}(768,1000)=8 so

\dfrac{768}{1000}=\dfrac{96\cdot8}{125\cdot8}=\dfrac{96}{125}

5 0
3 years ago
The "Mr. Brust Dance School of Fine Ballet" charges $24 per dass and a one-time registration fee $150 A student paid a total of
irinina [24]

Answer- 28 classes

Step-by-step explanation:

822-150= 672  672/24 = 28

5 0
3 years ago
Read 2 more answers
A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 41 specimens and counts the number of
e-lub [12.9K]

Answer:

(53.3; 56.1)

Step-by-step explanation:

Given that:

Sample size, n = 41

Mean, xbar = 54.7

Standard deviation, s = 5.3

Confidence level, Zcritical at 90% = 1.645

Confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.645 * 5.3/sqrt(41)

Margin of Error = 1.362

Lower boundary = 54.7 - 1.362 = 53.338

Upper boundary = 54.7 + 1.362 = 56.062

(53.3 ; 56.1)

6 0
3 years ago
One of the giraffes, Bernard, is sick. Last week he weighed 2,490 pounds. This week, he weighs 2,312 pounds.
maks197457 [2]

Answer:

w+2,312=2,490

w= 178 pounds

Step-by-step explanation:

Let

W—-^ the amount of weight Bernard lost in pounds

We know that

The amount of weight Bernard lost plus the weight of this week must be equal to the weight of the last week

So…

The linear equation that represents this situation is

w=2,312=2,490

solve for w

Subtract 2,490 - 2,312 = 178lbs

If you found this helpful please let me know! I’m always striving to improve my answers! Have a wonderful day!

6 0
2 years ago
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What is the simplest form of the expression below?
charle [14.2K]

Answer:

A. (2x+4)/x

Step-by-step explanation:

4 0
2 years ago
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