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Kay [80]
3 years ago
15

Put 2/3 5/7 16/21 in order from least to greatest

Mathematics
2 answers:
hodyreva [135]3 years ago
5 0

Answer:

5/7, 2/3, and 16/21

Step-by-step explanation:

If you put them all under the same denominator you will get 2/3=14/21, 5/7= 10/21, and 16/21. And if you put them in order it is 10/21, 14/21, and 16/21. Hope this helps, let me know if correct!!

Shkiper50 [21]3 years ago
5 0

2/3, 5/7, 16/21

Step-by-step explanation:

turn them into decimals

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Consider the following series. 1 9 1 18 1 27 1 36 1 45 Determine whether the series is convergent or divergent. Justify your ans
Vedmedyk [2.9K]

Answer:

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

Step-by-step explanation:

<u>Convergence of Infinite Series</u>

The series is given as the terms

1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...

For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.

Our series has two clearly different sequences, which define it as a piecewise general term:

If n is odd, then

a_n=1

Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is

a_n=9+9(n/2-1)=4.5n

if n is even.

If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.

The limit of the function

a_n=1

is 1 when n goes to infinity. Since it's not 0, this piece is not convergent and the entire series isn't either.

But it goes worse because of the limit of the second piece

a_n=4.5n

when n goes to infinity is infinite.

The answer is

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

8 0
3 years ago
Are these ratios equivalent?
masya89 [10]

Answer:

A, yes.

Step-by-step explanation:

63:60, 21:20:

The difference between 60 and 20 is *3. If you do that to 21, you get 63. So a , yes.

3 0
2 years ago
#4 math homework help needed. Thank you
liubo4ka [24]

Answer:

C. -1

Step-by-step explanation:

f(x) = 2/ (-x-1)

As we can see, f(x) is a fraction with two components: numerator (2) and denominator (-x-1).

According to the theorem, the fraction only exists when its denominator is different from 0.

So that in this situation, (-x-1) has to be different from 0

- x - 1 ≠0

=> - x≠ 1

=> x ≠ -1

So that if x = -1, (-x-1) = 0, making the fraction not exist.

So the input is not allowed is x = -1

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3 years ago
How can doubling a known fact be helpful when finding products mentally
My name is Ann [436]

Answer:

by doing that

Step-by-step explanation:

if x = y so y is z and you can find thatKegunaan Chi-Square:

Uji Chi Square berguna untuk menguji hubungan atau pengaruh dua buah variabel nominal dan mengukur kuatnya hubungan antara variabel yang satu dengan variabel nominal lainnya (C = Coefisien of contingency).

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2 years ago
How can conversion of measurements help me solve real world problems
jeka57 [31]
In different parts of the world people use different units. Being able to convert will help me understand and fit into their surroundings. Like for instance in Canada people measure speed in kilometers, so their speed limits are written in kmph. While in America the speed is measured in miles so Mph. Knowinf=g the conversions can help you drive safely and not get a ticket.
Hope that was what you were expecting.
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