Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100 bacteria. Estimate the size of the population after 20 hours.

Answers

Answer 1

Answer:

the estimation of the size of the population after 20 hours is 10159

Step-by-step explanation:

The computation of the size of the population after 20, hours is shown below;

= 100  2^(20 by 3)

= 10159.36

If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7

So the estimation of the size of the population after 20 hours is 10159

hence, the same is relevant

Answer 2

Answer:

The answer is "10159"

Step-by-step explanation:

Every 3 hours the population doubles, with an initial population of 100.

[tex]\to P(t) = 100 \times 2^{\frac{t}{3}}[/tex]

[tex]P(t)= \text{The population of bacteria}\\\\ t = \text{time in hours} \\[/tex]

when t=20

[tex]\to p(20)= 100 \times 2^{\frac{20}{3}} \\[/tex]

             [tex]= 100 \times 101.593667\\\\ =10159.3667[/tex]


Related Questions

Find the circumference of a circle with the radius 13.4 feet. Round your answer to two decimal places.

Answers

Step-by-step explanation:

circumference = 2πr

π = 3.14

r = 13.4

2 × 3.14 × 13.4 = ¯\_(ツ)_/¯

HELP MWAH WITH YOURS TRULYS MATH

Answers

Answer:

its 1/2

Step-by-step explanation:

because 1/2 of 10/10 is 5/10

Answer:

1

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]= 0.5

[tex]\frac{1}{2}[/tex]= 0.5

therefore making them equivilant

What is 3x-6+7y-4y plsssssssssss helpppppppp meeere

Answers

Answer:

3

+

3

6

Step-by-step explanation:

6x – 5 = 37 Please help I need it

98 points Please help

Answers

Answer: X = 7.

Step-by-step explanation: Move all terms that don't contain x to the right side and solve.

I'll go step-by-step.

1. Add 5 to both sides. 6x-(5+5)=37+5

2. Simplify 6x=42

3. Divide both sides by 6.   [tex]\frac{6x}{6} =\frac{42}{6}[/tex]

4. Then simplify/Divide. 42 / 6 = 7  

That's how you get 7!

X = 7

Hey there!

6x - 5 = 37

ADD 5 to BOTH SIDES

6x - 5 + 5 = 37 + 5

CANCEL out: -5 + 5 because it gives you 0

KEEP: 37 + 5 because it help solve for the x-value

NEW EQUATION: 6x = 5 + 37

SIMPLIFY IT!

6x = 42

DIVIDE 6 to BOTH SIDES

6x/6 = 42/6

CANCEL out: 6/6 because it give you 1

KEEP: 42/6 because it gives you the x-value

NEW EQUATION: x = 42/6

SIMPLIFY IT!

x = 7

Therefore, your answer is: x = 7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Where did you get the 165?

Answers

Answer:

There is not enough information to tell the answer to this problem.

Step-by-step explanation:

sorry

Answer:

Sorry but I cant solve this bc there is not enough info

Step-by-step explanation: :/

which phrase is a description of 2m + 7 ?
A. 7 more than 2 times m
B. 2 more than 7 times m
C. 2 times the sum of 7 and m
D 7 times the sum of 2 and m

Answers

the phrase which i believe is correct is A. 7 more than 2 times m

Homework help ???????????

Answers

Answer:

15

Step-by-step explanation:

The calculation is:

endamount - startamount divided by number of days.

(237-27) / 14 = 15

Answer:

237 - 27 = 210 (she already had 27 to start, so subtract that from the total)

210 ÷ 14 = 15 (divide by 14 because there are 14 days in two weeks)

so she bought 15 stickers each day

3(x + 3) − 2 < 4
does anyone know this?

Answers

Answer:3 + ? = 7, 3 + n = 7, 3 + x = 1

Step-by-step explanation:

and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.

Answer:

Inequality Form:  x < −1

Interval Notation:  (−∞, −1)

Step-by-step explanation:

3 (x + 3) −2 < 4

Simplify 3 (x + 3) − 2.

Apply the distributive property.

    3x + 3 ⋅ 3 − 2 < 4

Multiply 3 by 3.

    3x + 9 − 2 < 4

Subtract 2 from 9.

    3x + 7 < 4

Move all terms not containing x to the right side of the inequality.

Subtract 7 from both sides of the inequality.

    3x  < 4 − 7

Subtract 7 from 4.

    3x  < −3

Divide each term by 3 and simplify.

    x < −1

The result can be shown in multiple forms.

Inequality Form:  x < −1

Interval Notation:  (−∞, −1)

12x12x12x10.4 in a ahedron

Answers

Answer:

it 17971.2 ;)

Step-by-step explanation:

how do you create a graph for linear equation? I need to graph 3x=4

Answers

Answer:

Look at the graph below, hope this helped.

Step-by-step explanation:

write the slope of x+2y=16 pls help fast

Answers

Answer: [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

To find the slope, let's turn the equation into slope-interept form. In slope intercept form, y=mx+b, we know that m=slope.

[tex]x+2y=16[/tex]             [subtract both sides by x]

[tex]2y=-x+16[/tex]          [divide both sides by 2]

[tex]y=-\frac{1}{2}x+8[/tex]

Now, we know that [tex]m=-\frac{1}{2}[/tex]. That tells us [tex]-\frac{1}{2}[/tex] is the slope.

Step-by-step explanation:

x+2y=16

-× -×

2y=-x+16

÷2. ÷2

y=-1/2x+8

slope is -1/2

Plz help me Plz this is 7th grade math

Answers

Answer:

d=90 e=99 f=81

Step-by-step explanation:

d is a right triangle so its a 90 degree, e is vertical angle so it would be the same as the one ajacent so its 99. F is a linear pair with e so its 81 because 180-99=81.

Which statement explains why the two systems of equations below have the same solution

Answers

Answer: "B"

The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.

The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2 hence, the correct option is second.

What is a system of equations?

An equation is an expression that shows the relationship between two or more numbers and variables.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given the system of equation as;

A,  { 6x + 8y = -10}

      {2x - 5y = 12}

B, {8x + 3y = 2}

    {12x + 16y = -20}

If we add the first two equations that shown in A, then;

6x + 8y + 2x - 5y = -10 + 12

8x + 3y = 2

Now the first equation in A would be multiplied by 2, So

2(6x + 8y = -10)

12x + 16y = -20

Therefore, the correct option is Option B.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

Pls answer asap
Will give brainliest

Answers

Answer:

8

Step-by-step explanation:

the answer is option c8

thank u

Brenda purchased a new watch in 2012. The value of her watch, t years after she bought
it, can be modeled by the function A(t) = 117(0.93)
Drag and drop the correct number or phrase to left of each sentence to make the
sentence true for the function

Answers

Answer:

The rate of change in the value of the watch is modeled by 0.93.

The rate of change represents a decrease in value.  

The rate represents a 7% change per year.

Step-by-step explanation:

The rate of change in the value of the watch is modeled by 0.93.

The rate of change represents a decrease in value.  

The rate represents a 7% change per year.

The following information should be considered:

Since the function A(t) = 117(0.93)So it means that the rate of change should be modeled by 0.93.There is the reduction in the value. Also it is 7% change per year.

learn more: https://brainly.com/question/834969?referrer=searchResults

Need help ASAP swill mark Brainly

Answers

Answer:

B

Step-by-step explanation:

Hope it helps!

Answer:

-1 and 1/7

Step-by-step explanation:

hope this helps! have a great day!

aight man can someone help me lol

Answers

Answer: 11/24

Step-by-step explanation:

whenever u see this — (

it means the opposite of. so the opposite of -5/8 is +5/8.

-1/6 + 5/8 = 11/24

what am i supposed to put in that chart?

Answers

Answer:

as explained

Step-by-step explanation:

as in the photo i've shown :

i've shown the table for you both

i've shown the graph for one only the second one hope you can complete it if you have any questions you can ask.

for first one

if x=2 replace x=2 in f(x) you will get f(2)=4

f(3)=1

f(4)=0

f(5)=1

f(6)=4

Why did I start with x=2 and not x=1 because f(1)=9 in the graph provided there is no marking for y=9 but when drawing the graph extends it (as in photo 3 not as in photo 4)(graph in photo 3 is better)

Hope you understand(you can also put(2,4) ,(3,1) and so on in the graph as in photo 5

A bake sale sells cupcakes for $.75 and brownies for $.50 Billy spends $10 at the sale using C for cupcakes and beef or brownies write a linear equation for the amount spent by Billy for cookies and brownies

Answers

Answer:

Stuck on it

Step-by-step explanation:

what is the answer 2x5-5=

Answers

the answer to that question is 5

American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 53.0% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone.

Required:
a. What is the random variable?
b. What is the probability that none of the households in the sampled group have landline phone service?
c. What is the probability that exactly five of the households in the sampled group have a landline phone service?

Answers

Solution :

a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.

Here, the landline phone service is p = 53.0%

                                                           n = 8

Therefore, q = 1 - p

                     = 1 - 0.53

                     = 0.47

here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.

b). Let x be the number of household in the sample group having landline phone service.

  Probability that none of the household in the sample group have a landline service is

= P( x = 0)

[tex]$=^8C_0 (0.53)^0(0.47)^8$[/tex]

= 0.002 (using the binomial calculation )

c). Probability that exactly 5 of the household in the sample have a landline service is given by :

 P(x = 5)

[tex]$=^8C_5 (0.53)^5(0.47)^3$[/tex]

= 0.24

Help me out to get this math problem solve

Answers

Answer:

1. 1900 children.

2. 600 adults.

Step-by-step explanation:

Let c represent the number children.

Let a represent the number of adult.

From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:

2500 = c + a ..... (1)

From the question given above, we were told that:

Cost per child = $ 2

Cost per adult = $ 4

Total amount collected = $ 6200

Thus, we can write the above as:

6200 = 2c + 4a .....(2)

Summary:

2500 = c + a ..... (1)

6200 = 2c + 4a .....(2)

1. Determination of the number of children that attended the fair.

From equation 1

2500 = c + a

Make a the subject by rearranging

a = 2500 – c ....... (3)

Substitute the value of 'a' in equation 3 into equation 2

6200 = 2c + 4a

a = 2500 – c

6200 = 2c + 4(2500 – c)

Clear bracket

6200 = 2c + 10000 – 4c

Collect like terms

6200 – 10000 = 2c – 4c

–3800 = –2c

Divide both side by –2

c = –3800 / –2

c = 1900

Thus, 1900 children attended the fair

2. Determination of the number of adults that attended the fair.

Substitute the value of c into equation 3.

a = 2500 – c

c = 1900

a = 2500 – 1900

a = 600

Thus, 600 adults attended the fair.

Solve the equation. w/5 =3 w=​

Answers

Answer:

15

Step-by-step explanation:

[tex]\frac{w}{5}[/tex] = [tex]3[/tex] (multiply both sides by 5)

w= 15

Answer:

w= 15

Step-by-step explanation:

1. Multiply all terms by the same value to eliminate fraction denominators

2. Then simplify

_____indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
Select one:
a. Tolerance for ambiguity
b. Risk propensity
c. Workahollism
d. Authoritaritznism

= Tolerance for ambiguity ​

Answers

Step-by-step explanation:

indicates the level

of uncertainty that people can

tolerate to work efficiently without

experiencing undue stress

Im getting kicked out the house if i fail this please help

Answers

Answer:oop I put the answer in da wrong play my bad have a good day or night

Step-by-step explanation:

M=2

What is the slope of the line which passes through (1, 4) and (0, 1)?

Answers

3/1 is the slope............,

Find each difference.

A: (−5)−6


B: 35−(−8)


C: −438−(−114)

Answers

Answer:

A = -11

B = 43

C = -324

Step-by-step explanation:

-5 - 6 = -11

35 + 8 = 43

-438 + 114 = -324

A bowl of soup at 95!C (too hot) is placed in a 22!C room. One minute later, the soup has cooled to 83!C. When will the temperature be 49!C (just right)?

Answers

Answer:

in 3 minutes and 50 seconds

Step-by-step explanation:

soup = 95c

after 1 minute = 83c

after 2 minutes = 71c

after 3 minutes = 59

soup cools down 0.2c in 1 seconds

so 10 seconds = 2c

in 3 minutes and 50 seconds = 49c

The temperature 49°C of soup bowl will be after 5.54 minutes

Newton law of coolingAccording to Newton's law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundingsThe formula is as follow:

[tex](T-T_{s} )=(T_{0} -T_{s} )e^{-kt}[/tex]

What are the steps to solve this problem?Given

[tex]T =[/tex] 83°C and 49°C

[tex]T_{s} =[/tex] 22°C

[tex]T_{0} =[/tex] 95°C

We have to find value of t for that first we will find value of k and applying all values in formula we get,

(83-22)=(95-22)[tex]e^{-k}[/tex]

∴ k = -ln (61/73)

Now,

(49-22) = [tex]e^{ln(61/73)t}[/tex]

∴ t = [tex]\frac{ln (27/73)}{ln(61/73)}[/tex]

∴ t = 5.54 minutes

So, after 5.54 minutes temperature will be 49°C

Learn more about Newton's Law of Cooling here:

https://brainly.com/question/13748261

#SPJ2

2 + 6d = _____ d = 8

Answers

Answer:

The answer is 50 :)

Step-by-step explanation:

Since d=8, you multiply 6 times 8 which gives you 48 then add the 2.

After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?

Answers

Answer:

I think its 90

Step-by-step explanation:

3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45

you need 90 more analysts to have a 1 to 1 ratio

Other Questions
Earth completes one full ____ on its axis every 24 hours Given the test result, the probability that carbon emissions from the factory are actually within the permissible level is . 8Los profesores(escribir) mucho.19Mi amigo y yo(ver) la televisin.110T(compartir) el postre.1 PLS HELP ILL GIVE U BRAINLIEST! just fill in the x's with the timeEX: son las ocho y veinte. Please help whoevers right will get brainliest :) Graph y = 3/4x + 2Im cray-zee for not knowing this lol What do you call a process in which cells and organisms produce other cells and organisms of the same kindA. reproductionB. oxidation C. respirationD. perspiration 2. Mr. Thompson is on a diet. He currently weighs 260 pounds. Heloses 4 pounds per month.a. Write a linear model that represents Mr. Thompson's weight afterm months.b. After how many months will Mr. Thompson reach his goalweight of 220 pounds? someone can help me ????? find the product of the monomial and polynomial xyz*(2x+3y^2-3z^2) Evan ran for 28 minutes. Seth ran for 'y' minutes. Evan ran twice as long as Seth. How long did Seth run?A 28 minutes B 56 minutesC 14 minutesD 30 minutes why can mosquitos stand on water?A-The mosquito is able to walk on the water due to the attraction between multiple water molecules, creating surface tension.B-The mosquito is able to walk on the water due to the attraction between water molecules and other non-water molecules, creating surface tension. How do the Upanishads challenge the caste system? what is the main idea of a text? how do authors develop a main idea? Write one sentence that contain past tense Please! Help! Me!The next question refers to the following passage. The sentences have been numbered to help you identify them more easily.(1) As she was driving to visit her twin, Jayla had a strange feeling that something bad was going to happen.(2) Meanwhile, Kayla had the same exact premonition.(3) Worried about her sister, Kayla called Jayla's cell phone.(4) Because she took her eyes off the road to answer the phone call, Jayla lost control of her car and crashed through the front of Kayla's house.What is the function of the introductory word in sentence 2? a. It refers to the person being addressed.b. It is a transition word.c. It provides a short answer.d. It creates a short delay. The following stemplot displays the number of forest fires (the stem is in tens of thousands) that occurred each year over the period from 1980 to 2012.4 | 0244778895 | 0012222344778886 | 023787 | 348How many data values are in this data set? wilbur has sold 100, 42,87, and 66 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 72 sales per month? f(x)=3x-5 please help :> Find the missing slant height