All categories

2 years ago

a bacteria triples it’s original population in 25 hours (A=3A0). How big will it’s population be in 100 hours

Mathematics

1 answer:

Maru [420]2 years ago

7 0

Answer:

81 times the original size

Step-by-step explanation:

AA0ktA=3A0=?=?=25hours=A0ekt

Substitute the values in the formula.

3A0=A0ek⋅25

Solve for k. Divide each side by A0.

3A0A0=e25k

Take the natural log of each side.

ln3=lne25k

Use the power property.

ln3=25klne

Simplify.

ln3=25k

Divide each side by 25.

ln325=k

Approximate the answer.

k≈0.044

We use this rate of growth to predict the number of bacteria there will be in 100 hours.

AA0ktA=3A0=?=ln325=100hours=A0ekt

Substitute in the values.

A=A0eln325⋅100

Evaluate.

A=81A0

At this rate of growth, we can expect the population to be 81 times as large as the original population.

You might be interested in

HELP FOR 20 pointsss!!!

monitta

Answer:

Option 1. Hope this helps! :).

Sincerely; Victoria

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%5C%5C%5Cfrac%7B9%2B%5Csqrt%7B17%7D%20%7D%7B2%7D" id="TexFormula1" title="\sqrt{\\\f

Alborosie

$\huge\underline\pink{✏ANSWER}$

<h2>Hello and sorry but it's a Gatheted Question Can you fix it Can you? </h2>

Sorry for answering a nonsense

#BrainliestBunch

4 0

2 years ago

4) Find the slope of the following graph. у -2 o B

Strike441 [17]

Answer:

-6/13

Step-by-step explanation:

7 0

3 years ago

A theater has 60 seats on the front row. There are seven additional seats in each following row.

maksim [4K]

Answer:

(a) y(x)=53+7x

(b) 179

Step-by-step explanation:

Since the first row has 60 seats and next row has 7 additional seats then we can represent it as

First row=60

Second row=60+7=67

Third row=67+7=74

The difference is always 7. If you deduct 7 from dirst row we get 60-7=53 seats

To get rhe number of seats in any row x then let y be the number of seats in row x

y=53+7(x)

For raw 1

Y=53+7(1)=60

For raw 2

Y=53+7(2)=67

Therefore, the formula for number of seats at any row will be

y(x)=53+7(x)

(b)

Using the above formula

y(x)=53+7(x)

Replace x with 18 hence

Y(18)=53+7*(18)=179 seats

5 0

3 years ago

A$250 suit is marked down by 30%. Find the sale price,

Dahasolnce [82]

Answer:

175 is the answer the percentage is 75

4 0

2 years ago