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jenyasd209 [6]
3 years ago
15

3. Growth of Cholera bacteria. Suppose that the cholera bacteria in a colony grows unchecked according to the Law of Exponential

Change. The colony starts with 1 bacterium and doubles in number every half hour. a. How many bacteria will the colony contain at the end of 24 h
Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

2.814 * 10^14

Step-by-step explanation:

For exponential growth:

A = A0*e^kt

A = final amount ; A0 = initial amount ; t = time

Since bacterium doubles ever half hour ;

In 1 hour number of bacterium will be 2² = 4

Hence

Final amount after 1 hour

4 = 1*e^k*1

4 =e^k

Take In of both sides

In(4) = k

Number of bacterium in 24 hours

A = 1*e^In4 * 24

A = e^24In4

A = e^33.271064

A = 281474976710656

A = 2.814 * 10^14

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If the initial amount of iodine-131 is 537 grams , how much is left after 10 days?
viktelen [127]

Answer:

225.78 grams

Step-by-step explanation:

To solve this question, we would be using the formula

P(t) = Po × 2^t/n

Where P(t) = Remaining amount after r hours

Po = Initial amount

t = Time

In the question,

Where P(t) = Remaining amount after r hours = unknown

Po = Initial amount = 537

t = Time = 10 days

P(t) = 537 × 2^(10/)

P(t) = 225.78 grams

Therefore, the amount of iodine-131 left after 10 days = 225.78 grams

4 0
3 years ago
Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land
Sergeeva-Olga [200]

Answer:

The land which are used for exhibits are <u>89 acres</u> (approximately).

Step-by-step explanation:

Given:

Village is spread across 240 acres of land. 37%  of land is used for the exhibits.

Now, we have to find acres of land which are used for exhibits.

So, here it is given that land used for exhibits is 37%, and we have to calculate the quantity from the percentage given:

According to question:

37% of 240 acres of land.

\frac{37}{100}\times 240

0.37\times 240

88.80

So, the land used for exhibits are 88.80 acres.

Therefore, the land which are used for exhibits are <u>89 acres </u>(approximately).

5 0
3 years ago
How long will it take $3000 to earn $900 interest at 6% simple interest?
a_sh-v [17]

Answer:

5 years

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years to earn 900 interest.

4 0
3 years ago
Find the area of the quadrilateral ABCD. ​
REY [17]
Answer
—————————————-

3 0
2 years ago
Nadia buys boxes of crackers that each has the same cost c. She represents the cost of 6 boxes of cheese crackers, 5 boxes of po
snow_lady [41]
I believe the answer is b because u need to combine like terms and 6c+2c+5c is 13c.
6 0
2 years ago
Read 2 more answers
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