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3 years ago

Water is not a liquid if its temperature is above 100 °C or below 0 °C.

Mathematics

1 answer:

amm18123 years ago

6 0

Answer:

$0 \leq x \leq 100$

0, 40, and 80 are the values that work for this compound inequality.

Step-by-step explanation:

To create a compound inequality, we have to examine the conditions for $x$ to work.

Since $x$ can not be below 0° C, that means that $x$ must be greater than or equal to 0.

Which is represented as $x\geq 0$ , or $0\leq x$ .

Since $x$ can not be above 100° C, that means $x$ must be less than 100.

Which is represented as $x \leq 100$ .

We can combine both inequalities into one, where $x$ is shared between the two. This creates $0\leq x \leq 100$ .

Let's test each value of $x$ .

0 is equal to 0 and less than 100, so it works.

40 is greater than 0 and less than 100, so it works.

80 is greater than 0 and less than 100, so it works.

120 is greater than 0 and greater than 100, so it doesn't work.

160 is greater than 0 and greater than 100, so it doesn't work.

Hope this helped!

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Which one is > greater or < less than or = equal to?? 6+√8____√6+8

brilliants [131]

$\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8} }$

$6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }$

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3 years ago

Please help with the question 2 to 18

vladimir1956 [14]

Since these questions all require similar methods of solving, I will only completely work out the first question of each type.

2. To find $\frac{7}{10}$ as a decimal, all we need to do is complete the fraction by dividing the numerator by the denominator.

$\frac{7}{10}$ = 7 / 10 = 0.7

$\frac{7}{10}$ as a decimal is 0.7.

3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.

$\frac{13}{20} =0.65$

Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.

0.65 = 65%

which is the answer to question 3.
$\frac{13}{20}$ written as a percent is 65%.

4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.

2%5 = $\frac{25}{100}$

Since 25 goes into 100 four times, we can simplify this fraction.

$\frac{25}{100} = \frac{1}{4}$

which is our answer.

25% written as a fraction is $\frac{1}{4}$ .

5. This is the same as problem 3, so I won't show my work for the sake of time.

$\frac{2}{5}$ as a percentage is 40%.

6. This is the same as problem 1, so I will not show steps again.

$\frac{3}{20}$ as a decimal is 0.15.

7. Done similar problems in past. No work shown.

$\frac{21}{50}$ as a percent is 42%.

8. Same as last problem.

$\frac{1}{25}$ as a percent is 4%.

9. Same as number 4.

6% as a fraction is $\frac{3}{50}$ .

10. Similar in past.

$\frac{3}{5}$ as a percentage is 60%.

11. Same as 6.

$\frac{12}{25}$ as a decimal is 0.48.

12. Done a lot of these so far.

$\frac{3}{10}$ as a percentage is 30%.

13. Just did one like this.

$\frac{3}{4}$ as a percentage is 75%.

14. Same as 4 and 9.

65% as a fraction is $\frac{13}{20}$ .

15. Plenty of these done in past.

$\frac{1}{5}$ as a percentage is 20%.

16. Last problem, and it's just like the one just before this.

$\frac{9}{10}$ written as a percent is 90%.

So there are the results.
Hope that helped! =)

6 0

3 years ago

Read 2 more answers

A fluid moves through a tube of length 1 meter and radius r=0.006±0.00025 meters under a pressure p=4⋅105±2000 pascals, at a rat

iris [78.8K]

Answer:

Maximum error for viscosity is 17.14%

Step-by-step explanation:

We know that everything is changing with respect to the time, "r" is changing with respect to the time, and also "p" just "v" will not change with the time according to the information given, so we can find the implicit derivative with respect to the time, and since

$n = (\frac{\pi}{8}) (\frac{pr^4}{v})\\$

The implicit derivative with respect to the time would be

$\frac{dn}{dt} = \frac{\pi}{8} ( \frac{r^4}{v} \frac{dp}{dt} + \frac{4pr^3}{v}\frac{dr}{dt} )$

If we multiply everything by dt we get

$dn = \frac{\pi}{8} ( \frac{r^4}{v} dp + \frac{4pr^3}{v} dr})$

Remember that the error is given by $\frac{dn}{n}$ therefore doing some algebra we get that

$\frac{dn}{n} = 4 \frac{dr}{r} + \frac{dp}{p}$

Since, r = 0.006 , dr = 0.00025 , p = 4*105 , dp = 2000 we get that

$\frac{dn}{n} = 0.1714$

Which means that the maximum error for viscosity is 17.14%.

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3 years ago

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Tanya [424]

Answer:

Step-by-step explanation:

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3 years ago

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M Find the measure of the angles.

bearhunter [10]

Answer:

Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:

x + 59 + x + 51 + 84 = 180 My equation

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2x = -19 subtract 194 from both sides of the equation

x = -7 divided both by 2x to get x alone

It has occurred to me that I am finding x here (it still makes no sense to get a negative number) but this is the only equation I know to set up.

Notes:

This is for geometry homework and I realize just asking you to solve my problems is academically dishonest off topic if I have not put genuine effort into the question, which I have (put effort in, that is). I have put a lot of mental effort into figuring this out, though, so I will tell you what I did and hopefully you can tell me where I went wrong and how to correct my mistake, because I think it is obvious I made one. For the record I accidentally deleted my math notes from my iPad and Googling the question this morning produces hard to understand results. My geometry teacher was unavailable while I was working last night due to my lack of internet connection.

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3 years ago