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ElenaW [278]
3 years ago
8

4. Suppose that Peculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply thr

ough a mechanism in which each single
bacterial cell splits into four. However, they split at different rates: Peculiar Purples split every 12 minutes, while Outrageous Oranges split every 10 minutes.
a. If the multiplication rate remains constant throughout the hour and we start with three bacterial cells of each,
after one hour, how many bacterial cells will there be of each type? Show your work and explain your answer.
b. If the multiplication rate remains constant for two hours, which type of bacteria is more abundant?
What is the difference between the numbers of the two bacterial types after two hours?
c. Write a function to model the growth of Peculiar Purples and explain what the variable and
parameters represent in the context.
d. Use your model from part (c) to determine how many Peculiar Purples there will be after three splits
(i.e., at time 36 minutes). Do you believe your model has made an accurate prediction? Why or why not?
. e.Write an expression to represent a different type of bacterial growth with an unknown initial
quantity but in which each cell splits into two at each interval of time.
Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer:

Peculiar purples would be more abundant

Step-by-step explanation:

Given that eculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply through a mechanism in which each single  bacterial cell splits into four. Time taken for one split is 12 m for I one and 10 minutes for 2nd

The function representing would be

i) P=P_0 (4)^{t/12} for I bacteria where t is no of minutes from start.

ii) P=P_0 (4)^{t/10} for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

a) Here P0 =3, time t = 60 minutes.

i) I bacteria P = 3(4)^{5} =3072

ii) II bacteria P = 3(4)^{4} =768

b) Since II is multiplying more we find that I type will be more abundant.

The difference in two hours would be

3(4)^{10}- 3(4)^{8} =2949120

c) i) P=P_0 (4)^{t/12} for I bacteria where t is no of minutes from start.

ii) P=P_0 (4)^{t/10} for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

d) At time 36 minutes we have t = 36

Peculiar purples would be

i) P=3 (4)^{36/12}=192

The rate may not be constant for a longer time.  Hence this may not be accurate.

e) when splits into 2, we get

P=P_o (2^t) where P0 is initial and t = interval of time

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. Only 2% of a large population of 100-ohm gold-band resistors have resistances that exceed 105 ohms. a. For samples of size 100
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Using the information given above, the sampling distribution of the sample proportion of 100-ohm gold-band is 2.

  • <em>Sampling distribution of proportion, P = 2% = 0.02 </em>

  • <em>Sample size, n = 100</em>

<u>The sampling distribution of the sample proportion can be calculated thus</u>:

  • <em>Distribution of sample proportion = np</em>

Distribution of sample proportion = (100 × 0.02) = 2

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Learn more : brainly.com/question/18405415

4 0
2 years ago
Question: The meaning of four consecutive even numbers is 15.
nasty-shy [4]
First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15.  Wouldn't that be "mean," not meaning?  Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power.  There are no powers in this problem statement.  Perhaps you meant just "a" or "a_1" or a(1).


The least of these numbers is ______a^2.
No powers in this problem statement.  Perhaps you meant a_2 or a(2)


In this problem you have four numbers.  All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers.  Here this mean is 15.  The mean is most likely positioned between b anc c.


So here's what we have:  a+b+c+d
                                         ------------- = 15
                                                 4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60.    Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18.  Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.


</span>
8 0
3 years ago
PLEASE HELPP!!! Please
seraphim [82]

Answer:

a: the second choice, and pounds=10

b. the second choice, and points=90.

Step-by-step explanation:

for a , you just divide the pounds by the price and you get 5 for each.

for b, you just divide the points by the tickets and you get 9 each.

7 0
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