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Elina [12.6K]
3 years ago
12

The sum of 14 and a number is equal to 17

Mathematics
1 answer:
Annette [7]3 years ago
5 0
The equation would look like this: 14+x= 17. To find the answer, you can either subract 17-14 or add to fourteen until you get to seventeen. Your answer is 3. It's the same either way. Hope this helps.
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You are renting a house in the seychelles for a week at $1500. What is the cost per day?
irina [24]

Step-by-step explanation:

cost per day

= $1500 / week

= $1500 / 7 days

= $1500 ÷ 7 / 7 ÷ 7

≈ $214,29 / day

5 0
2 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
Graph a line that is perpendicular to the given line. Determine the slope of the given line and the one you graphed in simplest
MArishka [77]
Answer:

What is the the given line?

Explanation:
7 0
3 years ago
Two thirds a number plus 4 is 7
Sergio039 [100]
(2/3)x+4= 7

Subtract 4 from both sides
(2/3)x= 3

Divide both sides by 2/3. To divide by a fraction, multiply the first number by the reciprocal of the second.
3*3/2= 9/2

Final answer: 9/2 or 4.5
7 0
3 years ago
Y=5x - 3<br> 3x - 8y =24
tino4ka555 [31]

Answer:

0,-3

Step-by-step explanation:

See the steps below:) you can use the app photo math. you just take a picture of the problem and it gives you the answer and explains the steps:)

7 0
3 years ago
Read 2 more answers
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