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anzhelika [568]
1 year ago
7

A population of a particular yeast cell develops with a constant relative growth rate of 0.4425 per hour. The initial population

consists of 3.1 million cells. Find the population size (in millions of cells) after 3 hours. (Round your answer to one decimal place.)
Mathematics
1 answer:
nalin [4]1 year ago
5 0

The exponential function is often used to model the growth or decay of a population

The population size of the yeast cell after 3 hours is 6.24 million

The given parameters are:

a = 3.1M --- initial number of cells

r = 0.4425 per hour --- rate

The nth term of an exponential function is:

f(n) = a(1+r)^n-1

After 3 hours; n = 3

So, we have:

f(3) = a(1+r)^3-1

Substitute values for a and r

f(3) = 3.1 (1+0.4425)^3-1

f(3) = 3.1 ( 1.4425)^2

f(3) = 6.24

Hence, the population size of the yeast cell after 3 hours is 6.24 million.

Read more about exponential functions at: brainly.com/question/3127939

#SPJ4

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vesna_86 [32]

Answer:

5.   m < 1 = 72 degrees.

6.    m < 1 = 80 degrees.

Step-by-step explanation:

5. < 1 = 72 degrees.

If we draw a line through the point of < 1,  We see that  We have have 2 angles  of 40 and 32 ( alternate angles).

6.  By the same reasoning m < 1 = 60 + 20

= 80 degrees.

3 0
3 years ago
The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?
notsponge [240]

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

                                       = 17 - (5+4)

                                       = 17 - 9

                                       = 8 inches

7 0
3 years ago
On his first three tests, Hiram got scores of 89, 95, and 90. His final test score brought his median score to 91.5. What was I
Elena-2011 [213]
The median is the middle score, it is also the average of the two middle scores when total number is even.

original 3 scores:  89, 90, 95  ----> median = 90

with final score:  89,90,X,95  ----> median = 91.5

(90+x)/2 = 91.5
90+x = 183
x = 93

Final score was a 93.
6 0
3 years ago
2. XYZW is a parallelogram with diagonals XZ and YW that intersect at point A.
sergeinik [125]

Answer:

AW=10

Step-by-step explanation:

In a parallelogram opposite sides are congruent meaning XA and AZ are congruent. YA and AW are congruent. So...

Solving for XA and AZ

 XA=AZ

3m=5m-4

-2m=-4

m=2

If YW=10m then 10 x 2 = 20

20 divided by 2 = 10

4 0
2 years ago
Write the decimal as a percent
goldfiish [28.3K]

Answer:

3/5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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