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3 years ago

The length of a rectangle is 3 m longer than its width.

1 answer:

4 0

Let x = width
Then, x + 3 = length
So, 2x + 2(x + 3) = 26
2x + 2x + 6 = 26
4x = 20
x = 5width = x = 5m and length = x + 3 = 8m Area = (length)(width) = (5)(8) =
40 m2

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5/9+1/9 in simplest form. Explain.

Lana71 [14]

Answer:

2/3

Step-by-step explanation:

5/9 + 1/9

= 6/9

= 2/3 in simplest form

8 0

2 years ago

Determine if the following infinite series converges or diverges

Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

$\sum_{k = 0}^{\infty} f(k)$

Then we have to calculate the following limit:

$\lim_{k \rightarrow \infty} f(k)$

If the limit goes to infinity, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

$f(k) = \frac{k^3}{k^4 + 10}$

Hence the limit is:

$\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0$

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

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6 0

1 year ago

Read 2 more answers

3.53 divided by 51 24.2 divided by 42 9.13 divided by 23 79.2 divided by 39

patriot [66]

Answer:

1. 0.0692156863

2. 0.5761904762

3. 0.3969565217

4. 2.030769231

Step-by-step explanation:

5 0

3 years ago

In 1962, the average cost of 1 gallon of gasoline in the United States was $0.31. The cost of gasoline increased by an average o

Kobotan [32]

Answer:

3*10=30.

Step-by-step explanation:

increased by 3% each year for 10 years

increased 30%.

0.31*0.30= .92

7 0

3 years ago

Prime factorisation of 500

Andrews [41]

$\boxed{\underline{\bf \: ANSWER}}$

2 | 500

2 | 250

5 | 125

5 | 25

5 | 5

1 | 1

Prime factorisation of 500 = 2 × 2 × 5 × 5 × 5 × 1

_____

Hope it helps.

ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222

6 0

2 years ago