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sergejj [24]
3 years ago
10

Which are rational and irrational? Thanks in advance :)

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

3\frac{1}{2}-rational

\pi -irrational

-\frac{2}{3}-rational

\sqrt{16} -rational

\sqrt{3} -irrational

18-rational

0.625-rational

0.987987987...-rational

Step-by-step explanation:

Rational numbers:

-are all numbers you can write as a quotient of integers  \frac{a}{b} , b\neq 0

-include terminating decimals. For example, \frac{1}{8}=0.125

-include repeating decimals. For example, \frac{1}{3} =0.33333....

Irrational numbers:

-have decimal representations that neither terminate nor repeat. For example, \sqrt{2}=1.414213....

-cannot be written as quotients of integers

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R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?​
statuscvo [17]
<h2><em><u>Solution</u></em> : </h2>

let the last number be x

we know,

\boxed{mean =  \frac{sum \:  \: of \:  \: all \:  \: observations}{number \:  \: of \:  \: observations} }

So,

\hookrightarrow \: 8 =  \dfrac{22 + x}{4}

\hookrightarrow \: 8 \times 4 = 22 + x

\hookrightarrow \: 32 = 22 + x

\hookrightarrow \: x = 32 - 22

\hookrightarrow \: x = 10

therefore, the last number is 10.

7 0
2 years ago
After 5 years, what is the total amount of a compound interest investment of $32,000 at 3% interest, compounded quarterly?
Nataliya [291]
$37,157.89 Hope that helps!
6 0
3 years ago
Cos (2a) [tg (2a) - tg (a)] = tg (a)<br> ¿Alguien sabe?
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Step-by-step explanation:

I hope I helped

3 0
3 years ago
The inches of rainfall in the rainforest is represented by the function f(x) = 3(x-2)+ 4. What is the average rate of change bet
nata0808 [166]

Answer:

The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>

Step-by-step explanation:

Given function representing inches of rainfall:

f(x)=3(x-2)+4

To find the average rate of change between the 2nd year and the 6th year.

Solution:

The average rate of change between interval [a,b] is given as :

\frac{f(b)-f(a)}{b-a}

For the given function we need to find the average rate of change between 2nd year and 6th year. [2,6]

So, we have:

f(2)=3(2-2)+4=3(0)+4=4

f(6)=3(6-2)+4=3(4)+4=12+4=16

Thus, average rate of change will be:

\frac{f(6)-f(2)}{6-2}

⇒ \frac{16-4}{6-2}

⇒ \frac{12}{4}

⇒ 3

Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches

8 0
3 years ago
The measure of an interor angle of a regular polygon is given. Find the number of sides in the polygon.
EleoNora [17]

Let side be n

#1

\\ \sf\longmapsto 120n=(n-2)180

\\ \sf\longmapsto 120n=180n-360

\\ \sf\longmapsto -60n=-360

\\ \sf\longmapsto n=6

#2

\\ \sf\longmapsto 160n=(n-2)180

\\ \sf\longmapsto 160n=180n-240

\\ \sf\longmapsto -20n=-240

\\ \sf\longmapsto n=12

#3

\\ \sf\longmapsto 144n=(n-2)180

\\ \sf\longmapsto 144n=180n-360

\\ \sf\longmapsto -36n=-360

\\ \sf\longmapsto n=10

6 0
2 years ago
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