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3 years ago

A culture of bacteria doubles every 2 hours. Is the bacteria growth over time an arithmetic or geometric sequence? Why?

1 answer:

8 0

A culture of bacteria doubles every 2 hours. If there are 500 bacteria at the beginning, how many bacteria will there be after 24 hours?

Is this sequence arithmetic or geometric?

What is the initial term?

What is the rate of change (common ratio or common difference)?

Solution: There are 500 bacteria to start, doubling every 2 hrs..

Such bacterial growth is a geometric sequence with a common ratio of 2.

The number of times the bacteria doubles is 12 times during a 24 hour period.

The starting number is 500 and the common ratio is 2 hours. The total number of bacteria is 2,048,000.

Determine if the sequence is geometric. If it is, find the common ratio.

9). - 1, - 6, - 36, 216, ...... Geometric - Yes, Common Ratio is - 6

9). - 1, - 1, 4, 8,...... Geometric - No

10). 4, 16, 36, 64, ..... Geometric - No

10). - 3, - 15, - 75, - 375,......Geometric - Yes, Common Ratio is 5

11). - 2, - 4, - 8, - 16,...... Geometric - Yes, Common Ratio is 2

11). 1, 5, 25, - 125,...... Geometric - Yes, Common Ratio is - 5

Hope this helps!!!!!

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the temper ire of chicken soup is 192.7 F as it cools the temperature of the soup decreases 2.3 what is the temperature of the s

ad-work [718]

The temperature of soup after 25 minutes is $135.2^{\circ}\ F$

Solution:

The temperature of chicken soup is 192.7°F

As it cools, the temperature of the soup decreases 2.3°F per minute

Let the initial temperature be $T_0$

Let "t" be the time for rate of decrease

Set up an equation

Temperature = Initial temperature - decrease in temperature

Decrease in temperature = rate of decrease x time

Therefore,

$T = T_0-2.3t$

To find the temperature of soup after 25 minutes, substitute t = 25

$T = 192.7 - 2.3 (25)\\\\T = 192.7 -57.5\\\\T = 135.2$

Thus the temperature of soup after 25 minutes is $135.2^{\circ}\ F$

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3 years ago

The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. Th

ankoles [38]

We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.

First of all, we will find z-score corresponding to 38 and 56.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{38-38}{6}=\frac{0}{6}=0$

Now we will find z-score corresponding to 56.

$z=\frac{56-38}{6}=\frac{18}{6}=3$

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is $-3\sigma\text{ to }3\sigma$ .

We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.

We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

$\frac{99.7\%}{2}=49.85\%$

Therefore, approximately $49.85\%$ of lightbulb replacement requests numbering between 38 and 56.

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3 years ago

What is negative 2 - 2/3?

sergey [27]

Answer:

-2.66666666667

or just

-2.67

Step-by-step explanation:

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2 years ago

Each bottle of perfume contains

tatyana61 [14]

Answer:

Total amount of fluid sold = 63 ounces

Step-by-step explanation:

Given:

Each bottle contain = 2.1 ounces

Total number bottle = 30

Find:

Total amount of fluid sold

Computation:

Total amount of fluid sold = Each bottle contain x Total number bottle

Total amount of fluid sold = 2.1 x 30

Total amount of fluid sold = 63 ounces

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3 years ago

your order 4 fish tacos and a hamburger. The cost of the hamburger is $2.50. Your total bill before tax is $14.30. Write and sol

ValentinkaMS [17]

Answer:

$2.95

Step-by-step explanation:

Step 1:

( $14.30 - $2.50 ) ÷ 4

Step 2:

$11.80 ÷ 4

Answer:

$2.95

Hope This Helps :)

4 0

3 years ago

Read 2 more answers