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Kaylis [27]
3 years ago
12

Converges and diverged part 4​

Mathematics
1 answer:
Allushta [10]3 years ago
4 0

Answer:

Diverges; no sum

Step-by-step explanation:

This is comparable to:

\sum_{k=1}^\infty a \cdot r^{k-1} where:

r is the common ratio and a is the first term.

The series converges to:

\text{First term}\cdot \frac{1}{1-\text{common ratio}}

if the ratio's absolute value is less than 1.

This is a geometric series.

The common ration is -1.04 .

The first term in the series is 0.001.

Since the absolute value of -1.04 is 1.04>1, the series diverges.

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The perimeter of the original rectangle is ______
sergey [27]

Answer:

  • perimter of original rectangle = <u>17. 6 mm</u>
  • side length of the enlarged rectangle = <u>23. 22 mm</u>
  • perimeter of the enlarged rectangle = <u>95. 04 mm</u>

Step-by-step explanation:

<u>PERIMETER</u><u> </u><u>OF</u><u> </u><u>ORIGINAL</u><u> </u><u>RECTANGLE</u>

  • Length of original rectangle = 4.5 mm
  • Width of original rectangle = 4.3 mm

<em>perimeter = 2 × ( length + width)</em>

= 2 × ( 4.5 + 4.3)

= 2 × 8.8

= 17. 6 mm

<u>SIDE</u><u> </u><u>LENGTH</u><u> </u><u>OF</u><u> </u><u>ENLARGED</u><u> </u><u>RECTANGLE</u>

  • Width of original rectangle = 4. 5 mm
  • Width of enlarged rectangle = 24.3 mm

Enlargement factor = 24.3 / 4.5

= 5.4

  • Length of original rectangle = 4.5 mm
  • Enlargement factor = 5.4

Side length of enlarged rectangle

= original length × Enlargement factor

= 4.3 × 5.4

= 23. 22 mm

<u>PERIMTER OF ENLARGED RECTANGLE</u>

= 2 × ( enlarged ength + enlarged breadth)

= 2 × (23. 22 + 24. 3 )

= 95. 04 mm

8 0
2 years ago
Convert 3 2/7 into improper fractions <br><br> 21/7<br> 23/7<br> 41/7<br> None of the above
Vesnalui [34]
Hello,

The correct answer is B.

Further explanation: The first step is to multiply 3 by 7. That gives you 21, then add 21+2. Then put your denominator at the bottom.

Workspace:

3 * 7

=21

21 + 2

=23/7
5 0
2 years ago
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gregori [183]

Answer:

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Step-by-step

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4 0
2 years ago
An apple orchard sold 155 apples in September in November it sold 17 times as many apples as it did in September how many apples
borishaifa [10]

9514 1404 393

Answer:

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Step-by-step explanation:

17 times the September number is ...

  17×155 = 2635 . . . . apples sold in November

8 0
3 years ago
Can someone help me?
Gnesinka [82]

Answer:

y =4(x-3)^2+2 => y=4x^2-24x+38

y=2(x-3)^2+4 => y=2x^2-12x+22

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Step-by-step explanation:

5 0
2 years ago
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