Exponential Function:

Activity: Bacterial population

A population of bacterium in laboratory conditions grows every 20 minutes in 10% the number of specimens. At the beginning of the observation, at 8:00 AM, the population had approximately 3,000,000 individuals:

1. Complete the following attached table (table below) as requested by completing each of the blank boxes.

2. What is the approximate population of bacterium at 10:00 AM?

3. Write the function in power form, indicating which is the dependent and independent variable.

4. Using the function found, determine the bacterial population five hours after the start of the observation.

Exponential Function:Activity: Bacterial PopulationA Population Of Bacterium In Laboratory Conditions

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

GivenInitial population at 8:00 AM3000000Growth rate = 10% = 1.1 times per 20 minSolution

1. Table

Note. I am not sure what are the last 3 rows. Just added next 3 terms.

8:00  ≡  G(0)   ≡   3000000              ≡  30000008:20  ≡  G(1)    ≡   3000000 *1.1        ≡  33000008:40  ≡  G(2)   ≡   3000000 *1.1^2    ≡  36300009:00  ≡  G(3)   ≡   3000000 *1.1^3    ≡  39930009:20  ≡  G(4)   ≡   3000000 *1.1^4    ≡  4392300

2. Population at 10:00

Time passed since 8:00 is 2 hours = 2*3*20 min = 6* 20 minPopulation = 3000000*1.1^6 = 5314683

3. Function to reflect the population growth

G(x) = 3000000*1.1^xG(x) - is dependent variable, population of bacteriax - is independent variable, time increment of 20 min

4. Population after 5 hours

5 hours = 5*3*20 min = 15*20 minG(15) = 3000000*1.1^15 ≈ 12531745


Related Questions

9) It takes 7 minutes for Isabella to walk
around the gym track twice. At this
rate, how many times can she walk
around the track in a half hour?

Answers

Answer:

8 4/7

Step-by-step explanation:

Use a proportion.

Let the unknown number of laps for 30 minutes be x.

7 minutes is to 2 laps as 30 minutes is to x laps

7/2 = 30/x

Cross multiply.

7x = 2 * 30

7x = 60

x = 60/7

x = 8 4/7

Answer: 8 4/7

Isabella walks twice around the gym track in 7 minutes. She can do 60/7 laps of the track in a half hour if she continues moving at this pace.

What is the meaning of the term “laps”?

Running a lap is equivalent to making a full circle of a track during a race or while exercising while walking. the front portion of the human body, when seated, from the waist to the knees. the area of clothing that, while a person is sitting, covers the front of their body from the waist to their knees. a location, setting, or circumstance that promotes rest or nurturing: the lap of luxury.

Laps are being done to get a good workout. For beginners, 20–30 laps in 30 minutes is frequently an effective and reachable target. If you're more advanced, try to do 40 to 50 laps in the same amount of time, and aim for 60 or more.

Let x equal the undetermined number of laps for 30 minutes.

7 minutes equals 2 laps, while 30 minutes equals x laps.

[tex]\frac{7}{2} = \frac{30}{x}[/tex]

Cross multiply.

[tex]7x = 2 \times 30\\7x = 60\\x = \frac{60}{7}\\[/tex]

Therefore, Isabella can do 60/7 laps of the track in a half hour if she continues moving at this pace.

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a recipe calls for 4 teaspoons of cinnamon to make 2 dozen oatmeal cookies .how many teaspoons of cinamon are needed to make 60 oatmeal cookies?

Answers

Answer:

10 teaspoons

Step-by-step explanation:

1 dozen of cookies= 12 cookies

4 teaspoon of cinnamon ----- 2(12)= 24 cookies

Amount of cinnamon needed per cookie

[tex] = \frac{4}{24} \\ = \frac{1}{6} \: teaspoon[/tex]

Teaspoons of cinnamon needed for 60 cookies

[tex] = 60( \frac{1}{6} ) \\ = 10[/tex]

Thus, 10 teaspoons of cinammon is needed for 60 oatmeal cookies.

Doughnuts at one shop cost £1.40 each.
Doughnuts at a second shop cost 20% more.
What is the difference in the cost of doughnuts at the two shops?

Answers

Given parameters:

Cost of doughnut at one shop = £1.40

Unknown

Difference in the cost of doughnuts at the two shops = ?

To find the difference in the cost of doughnuts at the two shops, we must know the cost of doughnut at the second shop;

  Given that the cost of doughnut at the other shop is 20% more;

       = 1.20 x £1.4

       = £1.68

The difference in the cost of doughnuts  = £1.68 - £1.40 = £0.28

So the answer is £0.28

what is the polar form of 7 √ 3-7i

Answers

Answer:

14(cos(330)+isin(330))

Step-by-step explanation:

step1: determine the modulus using the formula  |z|=√(a²+b²)

|z|=  √((7√3)² + (-7)²) = √196 = 14

step2: determine the argument using the formula θ=tan⁻¹(y/x)

θ=  tan⁻¹(-7/7√3) =  (-1/√3) --> rationalize the denominator by multiplying top and bottom by √3 to get:  -√3/3

the tangent value on the unit circle that is -√3/3 is 330 degrees in quadrant iv

then put it together :p

Maria is preparing for a graduation party. She plans to invite 60 people and has budgeted $275 for the good. The caterer sells pans of past that serves 10 people for $55 and trays of sandwiches that serves 6 people for $22 each. How many pastas and how many sandwiches

Answers

Answer:

Pasta 550 dollars and sandwiches 132 dollars

Step-by-step explanation:

10*$55=$550

6*$22=$132

Answer:

pasta 550 sandwiches 132

Step-by-step explanation:

Fill in the missing term on each line. Simplify any fractions.
8(d + 1) = 8
d + 1 =
Divide both sides by 8
d =
Subtract 1 from both sides

Answers

Answer:

8 subtract 1 sides fraction

Answer:

8 subtract 1 sides fraction

Step-by-step explanation:

70
D
Find the measure of the arc or angle as indicated.
B
O 65
0 55
0 71
O
57

Answers

Is it supposed to be a attached picture to the question?

A poylgon has -

curved lines
lines that do not connect
lines that do connect
at least 4 sides

Please help

Answers

Answer:

the answer is lines that do connect

Simplify (3a3 – 7a2 + a) – (6a3 – 4a2 – 8).
a. -3a6 – 3a4 + a +8 b. -3a6 – 11a4 +a -8
c. -3a3 – 11a+a -8 d. -3a3 – 3a² + a +8

Answers

Answer:

d. -3a3 – 3a² + a +8

Step-by-step explanation:

Simplify the expression.

please assist me with these problems​

Answers

Answer:  see below

Step-by-step explanation:

Speed = | Velocity |

4.

   Velocity         -14   20   -2    0    25    -15

   Speed             14   20    2    0    25     15

5.

   Velocity         -16   16

    Speed            16   16

6.

    3 is greater then -4

       |---------|---------|

     -4         0         3

7.

    A velocity of -4 has a greater speed than a velocity of 3

  Velocity        -4     3

  Speed            4     3  

What is 17/5 as a mixed number in simplest form?​

Answers

Answer:

3 2/5

Step-by-step explanation:

There are more than 7,000 languages spoken in the world today, and, on average, one of them disappears every ten days. What does that mean for the future of language diversity? What about the future of cultural diversity

Answers

Answer:

One language disappears every ten day. Each language has history and culture that vanishes. This will affect the future of language and cultural diversity because people aren’t trying to save theses languages and culture. Imagine if the English language disappeared. Plenty of English speaking countries’ cultural would also disappear. Plus, lots of these languages know one knows about. The future of language diversity would be bland, for only big languages would exist. Therefore, the disappearance of languages will affect language because people don’t try to save culture, and there’d be no language diversity in the future.

The disappearance of languages at such a rapid pace has significant implications for both language diversity and cultural diversity.

Language diversity is essential as it reflects the richness and complexity of human communication and expression. Each language carries unique ways of perceiving and understanding the world, and its loss means losing a vast amount of cultural and intellectual knowledge.

When languages disappear, the world loses diverse perspectives, traditional knowledge systems, folklore, literature, and linguistic diversity itself.

Furthermore, language is deeply intertwined with cultural diversity. Language shapes and is shaped by culture, and it serves as a vehicle for transmitting cultural practices, values, beliefs, and traditions across generations. When a language vanishes, it often signifies a loss of cultural identity and can lead to the erosion of cultural practices and knowledge associated with that language. The extinction of a language can disrupt intergenerational transmission of cultural heritage, affecting not only linguistic diversity but also cultural diversity.

The consequences of language extinction extend beyond the loss of knowledge and cultural heritage. Language is an integral part of personal and collective identity. When a language dies, it can cause a sense of disconnection, loss, and alienation for the speakers and their communities. Language loss can also exacerbate social and economic inequalities, as marginalized communities often face language-based discrimination and exclusion.

To preserve language diversity and cultural diversity, concerted efforts are needed. Governments, communities, linguists, educators, and language enthusiasts can play a crucial role in documenting endangered languages, revitalizing them through language revitalization programs, promoting bilingual education, and creating platforms for language preservation and intercultural exchange. Recognizing the value of linguistic and cultural diversity is essential for fostering understanding, tolerance, and respect among different communities.

Overall, the future of language diversity and cultural diversity depends on our collective commitment to preserving, revitalizing, and celebrating the vast array of languages and cultures that enrich our world.

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Andre says that any real number can go in either of the boxes and A will be a
polynomial. Is he correct? Explain your reasoning.

Answers

Answer:

Andy is incorrect

Step-by-step explanation:

[See attachment for complete question]

Andy is incorrect because of the following.

Filling the empty boxes with any real numbers does not guarantee that the expression will be a polynomial.

For instance, if the expression is completed as thus:

(5x⁴ + 4x³)(4x^(2.7981) - 6) = A

This expression is not a polynomial because all powers of x must be non negative and it must be an integer.

So, Andy's statement is incorrect

Given f(x) = x − 7 and g(x) = x2 . Find f(g(−1)).

Answers

Answer:

-9

Step-by-step explanation:

ya want me to explain or not?

Can some help please

Answers

Answer:

No

Step-by-step explanation:

The triangle inequality rule states that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

Answer:

No

Step-by-step explanation:

It doesn't agree to Pythagoras Theoram.

But if they were the sqrt values, it would work.

Financial advisors counsel young people to start saving early for their retirement. Explain why an early start is important.

Answers

Answer:

The more money you invest and the earlier you start means your retirement savings will have that much more time and potential to grow and investing early you can be able to take advantage of compound earnings.

Step-by-step explanation:

Four aces in a row, then three red face cards in a row, then a red card.

Answers

Answer:

whats the question

Step-by-step explanation:

?

if y varies directly with X and Y=24 when x=6, find x when y = 32​

Answers

Answer:

8

Step-by-step explanation:

if y varies with x, then they are directly proportional, so their ratio is constant (ie x divided by y is allways the same)

when x = 6, y = 24:

y / x = 4

when y = 32:

32 / x = 4

so x = 32 / 4 = 8

x=6
y=24

To get to 24, you multiply x by 4

x= ____
y=32
To get x, start with y and do the reverse, dividing by 4. 32/4=8

So, x=8

what is the least common denominator of 5/12 and 4/18

Answers

Answer:

36

Step-by-step explanation:

(18 - ab) + 4b (if a = -2 and b = -5)

Answers

18+2•(-5)-20
18-10-20
-12

Find the missing side of the triangle !!!
HELP MEEE!!!!!!!!!!!!!!

Answers

The answer would be 10

A company had a loss of -$1,786.50 over the past 1.5 years. What was the company's average loss per year?

Answers

Answer:

A COMPIONY FARTED AND THEN YEAH 13256326

Step-by-step explanation:

Analyze tables use the table that shows the percents of blood types of 145 donors during a recent blood drive

a. find how many donors had type b blood. Round to the nearest whole number if necessary ____

b. How many donors did not have type O blood? Round to the nearest whole number if necessary ____

c. Which blood type has less than 10 donors?

blood type percent
O 45
A 40
B 11
AB. 4



Answers

Answer:

a. 16

b. 80

c. Blood type AB

Step-by-step explanation:

Given:

O = 45%

A = 40%

B = 11%

AB = 4%

Total number of donors = 145

a. No. of donors that had type B blood = [tex] \frac{11}{100}*145 = \frac{1,595}{100} = 15.95 [/tex]

Type B blood donors ≈ 16

b. No. of blood donors without blood type O = [tex] \frac{40 + 11 + 4}{100}*145 = \frac{55}{100}*145 = \frac{7,975}{100} = 79.75 [/tex]

Those without blood type O ≈ 80

c. Find the number of people that had type AB:

Type AB = [tex] \frac{4}{100}*145 = 5.8 [/tex] ≈ 6. This is less than 10 donors.

Therefore, blood type AB had less than 10 donors.

When solving the equation x-5=-12 what should you do to both sides of the equation?
A: add 5
B: subtract 5
C: multiply by 5
D: divide by 5

Answers

Answer: B. subtract

Step-by-step explanation: x-5=12

5-5

Answer:

Hello. The answer is A.

Step-by-step explanation:

You should add five to left side to make x alone.

For avoiding changing the equation you should add another five to left side.

I hope you understand

A phone company charges a base fee of $12 per month plus an additional charge per minute.the monthly phone cost c can be represented by this equation: c=12+a •m, where a is the additional charge per minute, and m is the number of minutes used.
What equation can be used to find the number of minutes a customer used I we know a and c

Answers

Answer:

Hi there!

Your answer is

(C-12)/A = M

Step-by-step explanation

c=12+a * m

SOLVE FOR M!

C=12+AM

-12

C-12+AM

Divide out A to isolate M

(C-12)/A = M

The equation that can be used to find the number of minutes[m] a customer used is -   m = (c - 12)/a

What is equation rearrangement?

Equation rearrangement is a process of arranging the equation parameters in terms of a specific parameter.

Given is a phone company that charges a base fee of $12 per month plus an additional charge per minute. The monthly phone charge cost [c] can be represented by the equation: c = 12 + a x m, where [a] is the additional charge per minute, and [m] is the number of minutes used.

The given equation is -

c = 12 + a x m

Since, we know the values of [a] and [c], we can solve for [m] as follows -

c = 12 + a x m

c - 12 = a x m

m = (c - 12)/a

Therefore, the equation that can be used to find the number of minutes[m] a customer used is -

m = (c - 12)/a

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Convert each of the following percents to FRACTIONS.
11% =
28.5% =
123% =
103% =
7% =
13.3% = HELP PLEASE ​

Answers

Answer:

11/100

123/100

103/100

7/100

Step-by-step explanation:

simplify the answers

HELPPPPPPPP NUMBER 7

Answers

Answer:

1,2,3

Step-by-step explanation:

1+3=4

2(2)= 4

hope this helped :)

Solve |x| + 7 < 4 what is the answer

Answers

Answer:

[tex]\left|x\right|<-3\\\\\\No\: solution\\[/tex]

Step-by-step explanation:

[tex]|x| + 7 < 4\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\\left|x\right|+7-7<4-7\\\\Simplify\\\left|x\right|<-3\\\\\mathrm{Absolute\:value\:cannot\:be\:less\:than\:0}\\\mathrm{No\:Solution\:for}\:x\in \mathbb{R}[/tex]

Simplify 8/-3 divided by -4/9 . (5 points)
A. −8
B. −6
C. 6
D. 8

I'd appreciate if you would help :)

Answers

Answer:

6

Step-by-step explanation:

Because 17/12=6

What is yeet+yeet=
Please answer

Answers

Answer:

yyeeeett

Step-by-step explanation:

just a guess y'know

Answer:

Step-by-step explanation:

Why, it’s quite simple: yeet plus yeet =2yeet. Or if one of those yeets yeeted themselves out the window like Papyrus yeeted himself out of Undyne’s window, then only one sad yeet is left without a friend to yeet.

HOPE THIS HELPS NYHEHEHEHEH

-Signed by The Great Papyrus Spagettitore

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