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Bess [88]
3 years ago
6

If you have 8/12 of a pizza how many thirds do you have

Mathematics
2 answers:
Rashid [163]3 years ago
8 0
You have two thirds and two left over
Maslowich3 years ago
6 0
2/3 of pizza would be the answer
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A biologist observed that a certain bacterial colony obeys the population growth law and that the colony triples every 4 hours.
MrRa [10]

Answer:

a) P(t) = 2e^{0.275t}

b) 54.225 square centimeters.

c) 2.52 hours

Step-by-step explanation:

The population growth law is:

P(t) = P_{0}e^{rt}

In which P(t) is the population after t hours, P_{0} is the initial population and r is the growth rate, as a decimal.

In this problem, we have that:

The colony occupied 2 square centimeters initially, so P_{0} = 2

The colony triples every 4 hours. So

P(4) = 3P_{0} = 6

(a) An expression for the size P(t) of the colony at any time t.

We have to find the value of r. We can do this by using the P(4) equation.

P(t) = P_{0}e^{rt}

6 = 2e^{4r}

e^{4r} = 3

Applying ln to both sides, we get:

4r = 1.1

r = 0.275

So

P(t) = 2e^{0.275t}

(b) The area occupied by the colony after 12 hours.

P(t) = 2e^{0.275t}

P(12) = 2e^{0.275*12}

P(12) = 54.225

(c) The doubling time for the colony?

t when P(t) = 2P_{0} = 2*2 = 4.

P(t) = 2e^{0.275t}

4 = 2e^{0.275t}

e^{0.275t} = 2

Applying ln to both sides

0.275t = 0.6931

t = 2.52

4 0
3 years ago
What is the circumstance of the circle
Alex_Xolod [135]
Answer: Circumference = 25.12

Explanation:

Circumference = pi x d

C = 3.14 x 8
C = 25.12
8 0
3 years ago
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When two variables are correlated, one variable causes the other to occur. true or false.?
Anna007 [38]
It's true. They're connected, have a mutual relationship.
8 0
3 years ago
How do you write 8.216 in scientific notation?
Igoryamba
How you write 8.216 in scientific notation; 8.216 * 10 ^ 3 

10 ^ 3 = 10 to the 3rd power.
5 0
3 years ago
Michael is taking an Uber ride from his house to meet his friend at a restaurant. The table shows the approximate distances the
Aliun [14]

Answer: Answer is B

Explanation: Just divide the number of miles by the minutes. 1.2/5 = .24

1.92/8 = .24 and more stuff like that.

7 0
3 years ago
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