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BartSMP [9]
2 years ago
5

Family bought 12 oranges from the market. However, one-fourth of these oranges were rotten. How many oranges were not rotten?

Mathematics
1 answer:
sashaice [31]2 years ago
4 0

Answer:

1/4 of them were rotten

rotten ones = 1/4 × 12 = 3

ones that weren't rotten = 12 - 3 = 9

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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
What is the best next step in the construction of the perpendicular bisector of
Musya8 [376]

C, not sure but C. It makes sense to me & I got it right when I did it

4 0
3 years ago
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Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry . What fraction of th
professor190 [17]

Answer:

The fraction of smoothies sold were either banana or strawberry is  \frac{11}{12}.

Step-by-step explanation:

Given:

Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry.

Now, to find the fraction of the smoothies sold were either banana or strawberry.

Fraction of smoothie were of banana = \frac{5}{6} .

Fraction of smoothie were of strawberry = \frac{1}{12} .

Now, to get the fraction smoothies sold were either banana or strawberry by adding both the fractions of banana and strawberry:

\frac{5}{6} +\frac{1}{12} \\\\=\frac{10+1}{12} \\\\=\frac{11}{12}

Therefore, the fraction of smoothies sold were either banana or strawberry is  \frac{11}{12}.

7 0
3 years ago
How do you turn 139,000,000 into a fraction
Brums [2.3K]
139,000,000 over 1, any number is a fraction just put it over 1
6 0
3 years ago
Given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4)
kiruha [24]
The point (x1,y1) on the graph of f(x) is the point (x1-a,y1) for the function
f(x+a)

(-8,-7)=(x1,y1)→x1=-8, y1=-7
f(x-4)=f(x+a)→a=-4

(x1-a, y1)=(-8-(-4), -7)=(-8+4, -7)=(-4,-7)

<span>The corresponding point for the fuction f(x -4) is (-4,-7)</span>
8 0
3 years ago
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