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hodyreva [135]
3 years ago
7

A bacterium cell splits into 2 cells every hour. Write and evaluate an exponential expression to find how many cells there will

be in 6 hours. Then use your answer to help you find the number of hours it will take for there to be 1,024 cells.​
Mathematics
1 answer:
timurjin [86]3 years ago
7 0

Answer:

2^x

64 bacterium

10 hours

Step-by-step explanation:

doubles every hour

if x = hours

2^x

2^x --> 2⁶ = 64

2^x = 1024

1024 = 2^10 ---> x=10

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erastovalidia [21]

Answer:

$38.50

Step-by-step explanation:

We are told the cost of the fabric per meter, so we first need to convert 250 cm into meters.

1 meter = 100 cm

Therefore, 250 cm = 250 ÷ 100 = 2.5 meters

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To calculate the total cost, mulitply the length in meters by 15.40:

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Why is -1 3/8 a rational number but not a integer?
olga_2 [115]

Answer:

because it is not a whole number

Step-by-step explanation:

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Approximate pi plus the square root of 70 to the nearest hundredth.
stich3 [128]

Answer:

  11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

  π + √70

<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

  π + √70 ≈ 11.51

__

<em>Additional comment</em>

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

  √n ≈ a +b/(2a +b/(2a +...))

Effectively, the root (r) can be iterated from the recursive formula ...

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For √70, we have 70 = 8² +6   ⇒   a=8, b=6

If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

  r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8

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This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...

  3.1416 +8.3664 = 11.5080 ≈ 11.51

5 0
2 years ago
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