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makvit [3.9K]
2 years ago
6

I want to know how to get the answer so I can do it myself in the future

Mathematics
1 answer:
Rudik [331]2 years ago
5 0

Answer:

107/33

Step-by-step explanation:

107/33 is the rational number equivalent to 3 point 24 with a bar over 24.

You might be interested in
How many roots does a linear equation have?
Semmy [17]

Answer:

1 root

Step-by-step explanation:

A linear equation should only cross the x-axis at one point. That means there would only be 1 root. (Root is when y= 0)

6 0
3 years ago
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
(x + 7)(x + 10) = what is the answer
ch4aika [34]

We can use FOIL to solve.

(x + 7)(x + 10)

(x * x) + (x * 7) + (7 * x) + (7 * 10)

x² + 7x + 7x + 70

x² + 14x + 70

Best of Luck!

8 0
3 years ago
Someone help me answer this
denis23 [38]
65 yards because of a2+b2=c2
7 0
3 years ago
Read 2 more answers
Pleaseeeee hurry I need help
grin007 [14]
132 degrees
37 degrees
169 degrees
180 degrees
7 0
3 years ago
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