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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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Friday's meeting needs 12 more sandwiches than Tuesday which needs 6 fewer than Monday which needs 20 more than wednesday which
Alina [70]

He will need 315 sandwiches to make each day next week

Step-by-step explanation:

The given:

  • Friday's meeting needs 12 more sandwiches than Tuesday
  • Tuesday needs 6 fewer than Monday
  • Monday needs 20 more than Wednesday
  • Wednesday needs 5 fewer than Thursday
  • The number of sandwiches ordered for the meeting that calls for the fewest is 50

We need to find how many sandwiches he will need to make each day next week

Assume that Tuesday needs x sandwiches

∵ Friday's meeting needs 12 more sandwiches than Tuesday

∵ Tuesday needs x sandwiches

- Add x by 12 to find Friday's need

∴ Friday needs = x + 12

∵ Tuesday needs 6 fewer than Monday

- That means Monday needs 6 more than Tuesday, add 6 to x

   to find Monday needs

∴ Monday needs = x + 6

∵ Monday needs 20 more than Wednesday

- That means Wednesday needs 20 less than Monday, subtract

   20 from Monday needs to find Wednesday needs

∴ Wednesday needs = x + 6 - 20 = x - 14

∵ Wednesday needs 5 fewer than Thursday

- That means Thursday needs 5 more than Wednesday, add 5 to

    Wednesday needs to find Thursday needs

∴ Thursday needs = x - 14 + 5 = x - 9

∵ The number of sandwiches ordered for the meeting that calls

   for the fewest is 50

- From the days needs above the fewest one is Wednesday, then

   equate Wednesday needs by 50

∵ Wednesday needs is x - 14

∴ x - 14 = 50

- Add 14 to both sides

∴ x = 64

Substitute x in each day needs to find the number of sandwiches

∵ Tuesday needs is x

∴ Tuesday needs = 64

∵ Friday needs is x + 12

∴ Friday needs = 64 + 12 = 76

∵ Monday needs is x + 6

∴ Monday needs = 64 + 6 = 70

∵ Wednesday needs = 50

∵ Thursday needs is x - 9

∴ Thursday needs = 64 - 9 = 55

Add the numbers of sandwiches of all day to find the number of sandwiches he will need to make each day next week

∵ The number of sandwiches = 76 + 64 + 70 + 50 + 55

∴ The number of sandwiches = 315

He will need 315 sandwiches to make each day next week

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

4 0
2 years ago
What is quotient of 8 divided by 2/3<br><br>​
Art [367]

Answer:

12

Step-by-step explanation:

don't ask me to explain

5 0
3 years ago
Read 2 more answers
What is the value of y?
sergij07 [2.7K]
Find TU with Pythagorean theorem:
TU=√6²-3²=√36-9=√27=3√3
Now you can find y:
y=√TU²+9²=√27+81=√108=6√3
3 0
2 years ago
Kids 12 and under get a discount at Golden Corral. If x represents age, write an inequality for those who do NOT get a discount.
babymother [125]

x>12

When someone is older than 12, their age is greater than 12.

3 0
3 years ago
I would also love an explanation!
boyakko [2]

Answer:you go up one over three

Step-by-step explanation:

6 0
2 years ago
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