A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?

Answers

Answer 1
35000*10^2/3
=116,666.66
Answer 2

Answer:43090

Step-by-step explanation: Pt=35000*2 3/10

Pt= 43090.0545


Related Questions

Betsy started a business 2 years ago. She had 8 customers in the first year. She added 18
customers in the second year. Betsy's goal is that in each of the next 4 years, she will have
three times as many customers as the year before. Betsy says her calculations in the table
below show that if she meets this goal each year, she will have 312 customers 4 years from
now. Is Betsy correct? Use the drop-down menus to explain your reasoning.

I need help !

Answers

Answer:

Step-by-step explanation:

If im correct it will be no because...

18 x 3 = 54

Now you do

54 + 54 = 216

I might be right or wrong (sorry if i got it wrong)

Answer:

Betsy's Calculations in step 1 are Incorrect because she should have multiplied 18*3^4 before adding 3

Betsy's Calucations in step 2 are Incorrect because she did not find the correct value of 3^4

If Betsy reaches her goal each year, she will have 1,466 customers 4 years from now.

Step-by-step explanation:

God helped me plus i had this question on the Iready 7th grade math diagnostic

if x is 6 what is x + 4

Answers

Answer:

put six on the place of x..

Step-by-step explanation:

So 6+4 =10 Answer

hope it helps

Evaluate the function h(x)=−2x+10 when x=3.

Answers

Answer:

h(x)=4

Step-by-step explanation:

h(x)=−2x+10

h(x)=−2(3)+10

=-6+10

=4

Which of the following is larfest 15% 0.153 1/7 1/12

Answers

i believe it is 0.153

Four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party. PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%. A survey of 1000 voters asked each to identify the party that they would vote for in the next election. These results were PC=415, NDP=256, Liberal=271, and Green party = 58. Can we infer at 5% level of significance that the voter support is going to change in the next election?

For Observed I get 1000 and a 100 for the expected. The teacher says O-E always = 0???

Answers

Answer:

In no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.

Step-by-step explanation:

Given that four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party, and PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%, and the survey of 1000 voters asked each to identify the party that they would vote for in the next election, and its results were PC = 415, NDP = 256, Liberal = 271, and Green party = 58, to determine if it can be inferred at 5% level of significance that the voter support is going to change in the next election the following calculations must be performed:

PC = 40 - (415/1000 x 100) = 40 - 41.5 = -1.5

NDP = 30 - (256/1000 x 100) = 30 - 25.6 = 4.4

Liberal = 25 - (271/1000 x 100) = 25 - 27.1 = -2.1

Green Party = 5 - (58/1000 x 100) = 5 - 5.8 = -0.8

Therefore, as can be seen, in no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.

Khan uses 78ft of fence for a pen and the length is 25ft. What is the width

Answers

Answer:

The width is 14ft

Step-by-step explanation:

Given

[tex]Fence = 78[/tex]

[tex]Length = 25[/tex]

Required

Determine the width

To do this, we assume that the fence is a rectangle

So, we use the following formula.

[tex]Perimeter = 2 * [Length + Width}[/tex]

Where:

[tex]Perimeter = Fence = 78[/tex]

So, we have:

[tex]78= 2 * [25 + Width}[/tex]

Divide both sides by 2

[tex]39= 25 + Width[/tex]

Solve for Width

[tex]Width = 39 - 25[/tex]

[tex]Width = 14[/tex]

Let X={a,b,c,3,4,5) and Y = {b,d,f,3,5,7).
List the members of the set XU Y, using set braces.
XUY= { }
(Use a comma to separate answers as needed.)

Answers

Answer:

{a,b,c,d,f,3,4,5,7}

Step-by-step explanation:

If X={a,b,c,3,4,5}

Y={b,d,f,3,5,7}

THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}

XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.

What is a set?

A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.

The sets are given in the question, as follows:

X = {a,b,c,3,4,5}

Y = {b,d,f,3,5,7}

We have to determine the members of the set XUY, using set braces.

As per the question, the required solution would be as:

XUY = {a, b, c, d, f, 3, 4, 5, 7}

XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.

Learn more about set theory here:

brainly.com/question/23454979

#SPJ2

please help lolllllll​

Answers

Hello, please keep in mind that (x, y)
Meaning that the first number will be X and the second will be Y. For example your X will be 2 and Y will be -3.

X will go left or right
Y will go up or down

Depending if the number is negative or positive determines what way the point should go.
(If the number doesn’t have a “-“ in the beginning it makes it positive which means it either goes up or right depending if it is X or Y)

With that being said 2 will be on the going to the right on the horizontal line and -3 will be going down on the vertical line.

The Nutty Professor sells cashews for $7.10 per pound and Brazil nuts for $4.60 per pound. How much of each type should be used to make a 32 pound mixture that sells for $6.24 per pound?



Round answers to the nearest pound.



pounds of cashews
pounds of Brazil nuts

Answers

Answer:

Pounds for cashew- 20.96

Pounds for Brazilian nut- 11.04

Step-by-step explanation:

Let c be the pounds of cashew

Let b ne the pound of Brazilian but

32×6.24

= 199.68

7.1c + 4.60b= 199.68.......equation 1

c + b= 32..........equation 2

From equation 2

c= 32-b

Sub 32-b for c in equation 1

7.1(32-b) + 4.60b= 199.68

227.3-7.1b+4.60b, = 199.68

227.3-2.5b= 199.68

-2.5b= 199.69-227.3

- 2.5b= -27.61

b= 27.61/2.5

b= 11.04

Sub 11.04 for b in equation 2

c+b= 32

c + 11.04= 32

c= 32-11.04

c= 20.96



Suppose the point (3,-1) is changed to (3,0) on this rectangle. Change a second point
so the figure remains a rectangle. What is the area of the new rectangle?

Answers

Answer:

10 units I believe......

Answer:

The area is 10 sq. units

Step-by-step explanation: (-2, 1) would change to (-2, 0). So the width changes to 2 and the length becomes 5, making the area 10 sq. units

Katie made 2 gallons of lemonade for the party. Which expression can
be used to find the number of cups
Katie made?

Answers

Answer:

In one gallon, there are four quarts. 1 quart is 0.5 pints.  1 cup is 0.25 quartz

Step-by-Step:

Use those measurements to convert gallons into cups and find your expression.

Please help, I'll mark the correct answer as brainiest!!!

Answers

Answer:

$1612

Step-by-step explanation:

12% of 2400

12/100 * 2400

0.12 * 2400 = 288

Amount to be paid :

2400 - 288 = 2112

Down payment = $500

Amount owed =

Amount to be paid - Down payment

$2112 - $500

= $1612

Hence, amount owed for installment loan = $1612

A and b are positive integers and a-b=2. Evaluate the following: 4^1/2 / 2^b

Answers

ANSWER: 2/2^x
hope this helps :)

Please tell me please

Answers

Answer: 35%

Step-by-step explanation:

20 bars

7 unshaded - not installed

7/20 = 0.35 = 35%

Find the volume of a pyramid that has a rectangular base that is 12 inches 10 inches and a vertical height of 9 inches.

Answers

6 inches is the answer because it’s all you need

1/5 x 3/8 x (-5) as a fraction in simplest form

Answers

Answer:

-3/8

Step-by-step explanation:

nothing can be simplified further

Graph the polygon and its image after a reflection in the line x=4.
you are going to have to zoom in

Answers

The answer should be c.

Shown above is a slope field for the differential equation dydx=y2(4−y2). If y = g(x) is the solution to the differential equation with the initial condition g(−2)=−1, then, limx→∞g(x) is

Answers

The value limx→∞g(x) is zero option (c) is correct.

What is a differential equation?

The differential equation involves the function and its derivative to represent a relationship between the functions and their derivative. In simple words, the differential equation is the mathematical relation that consists of one or more functions with its derivative.

We have a differential equation:

[tex]\rm \frac{dy}{dx} =y^2(4-y^2)[/tex]

[tex]\rm\frac{dy}{y^2(4-y^2)} = dx[/tex]   (rearranging the equation to solve)

[tex]\int \rm\frac{dy}{y^2(4-y^2)} = \int dx[/tex]

[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+c[/tex]    (after integrating both sides)

For the given initial condition g(-2) = -1

When x = -2, y = -1

[tex]\rm \frac{ln(|-1+2|)}{16} -\frac{1}{4(-1)} -\frac{ln(|-1-2|)}{16} = -2+c[/tex]

[tex]\rm \frac{1}{4} -\frac{ln(|-3|)}{16}+2 = c[/tex]

The value of c = 2.18

The equation we get:

[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+2.18[/tex]

As we can see the value of g(-2) is negative and from the graph of the above equation it goes to infinity and it touches the x-axis at the infinity.

The value   [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] when x reaches infinity the value of function g(x) becomes zero. ie.

[tex]\displaystyle \lim_{x \to \infty}g(x) =0[/tex]

Thus, the value  [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] is zero option (c) is correct.

Learn more about the differential equation here:

https://brainly.com/question/14620493

does 14, 19, 26 make a right triangle

Answers

Answer:

no one of them has to be 90 degrees

Step-by-step explanation:

Answer:

no it doesnt

Step-by-step explanation:

The question: " match each drawing with a triangle congruence postulate that can be used to prove the triangles are congruent, if any."



Possible answers


Side angle side (SAS)

Angel side angle (ASA)

Hypotenuse leg (HL)

Not possible

Answers

Answer:

1 : Hypotenuse leg (HL)

2: Angle side angle (ASA)

3: Side angle side (SAS)

Step-by-step explanation:

Given

See attachment for triangles

Required

Determine the congruence postulate

Figure (1):

From the attachment;

[tex]AC = BD[/tex] --- The hypotenuse

[tex]CB = CB[/tex] --- One other leg

Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL

Figure (2):

From the attachment, we have:

[tex]150^\circ = 150^\circ[/tex] --- Angle

[tex]15^\circ = 15^\circ[/tex] ---- Angle

The horizontal line that divides both triangles show that they have a congruent side.

Hence, the postulate is: ASA

Figure (3):

From the attachment, we have:

A pair of single marks (Side)

A pair of double marks (Side)

A pair of equal angles

Hence, the postulate is: SAS

Samantha opened a savings account and deposited $200.00. The account earns 10% interest, compounded monthly. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?

Answers

Answer:

200(1.10^1)

Step-by-step explanation:

WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=

Answers

Answer:

y= -1/4x

Step-by-step explanation:

Answer:

Step-by-step explanation:

y= -1/4x

Some one please help me find the slope of this line Thanks!

Answers

Answer:

1/2

Step-by-step explanation:

The slope can be found by looking at the Rise over run or in other words how ever much it moves up over how much it move right.

Answer: 1/2

Up once, right twice

Brainiest please!

Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 338 square units. Find the value ofr.

Answers

Answer:

r = 7.33 units

Step-by-step explanation:

Given that,

A cylinder has a radius of r units, and that the height of the cylinder is also r units.

The lateral area of the cylinder is 338 square units.

We need to find the value of r.

The formula for the lateral area of the cylinder is given by :

[tex]A=2\pi rh[/tex]

Put all the values,

[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]

So, the value of r is equal to 7.33 units.

40 pts please help (:
Find the geometric probability of throwing a dart and hitting the yellow ring. You may assume the dart will not miss the target entirely.

Answers

Answer:

c

Step-by-step explanation:

Answer:

i think it d

Step-by-step explanation:

sorry if it turn out wrong

14. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
32
19
5

Answers

9514 1404 393

Answer:

  11.9

Step-by-step explanation:

The tangent relation tells you ...

  tan(32°) = x/19

  x = 19·tan(32°)

  x ≈ 11.9

help please Im bout to fail.....

Answers

Answer:

it's the second to last one on the right side

Answer: (Not if I'm involved!)

Move the dot to the fourth tick mark to the right of zero.

Step-by-step explanation:

Each of the tick marks represent two, & 8 is the fourth positive multiple of 2. So move the dot to the fourth tick mark to the right of zero, which will represent 8.

need help!! I don't know how to solve theseeeeeeeeeeeeeeeeeeeeeeeeeeee.

Answers

Cosine = adjacent/hypothenuse
Adjacent = 28
Hypothenuse = 35

Solution: 28/35

Allison used 2 cups of flour to make a
cake, and of a cup of flour to make
a pie. If she started with 4 cups of
flour, how many cups of flour does she
have left?

Answers

Answer:

wouldnt she have 1

Step-by-step explanation:

well there might be a typo with and of a cup of flour but ya

I think it would be one

How to simplify this expression?

(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)

Express the answer as 12^?.

Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.

Thanks!!

Answers

Answer:

[tex]12^-^2[/tex]

Step-by-step explanation:

I hope this helps.

Other Questions
Please help me solve this! Thank you so much! draw the image of ABC under a translation by five units to the left A portrait without its frame has a height two times its width (w) The width of the frame is 3 inches on all sides. What is the area of the portrait and the frame? simplify your answer Solve the system of equations. x+2y=0 6y= - 3x a base de lo que conoces del teatro moderno que innovaciones de las que sufrio el tetatro espaol fueron mas relevantes? Justifica tu respuesta pls answer this no hacker ok pls real answer in english A board is 22.5 inches long. How long is the board in centimeters? The energy made from the movement of molecules is called _____ energy.AgeothermalBchemicalCpotentialDkinetic GIVING BRAINLIEST IF CORRECT help help pllssssss come on plsssssss , When iron nail is ground into powder, its mass how the plantlets are produced? RELACIN DE CRONOS CON EL SOL Find the area of the pumpkins I will mark the brainiest answer Please no links1. Which statement below best describes an eclipse? A. An eclipse happens during new moon when the moon is shadowed.B. An eclipse is part of the moon phases occurring every month. C. An eclipse will last for a couple days and then return to normal.D. An eclipse is the only time the Earth shadows the moon. A 100 N force is applied to move an object a horizontal distance of 5 meters at constant speed in 10 seconds. How much power is done? What is the slope of the line y5X-5? Ill mark brain list, pls help im confused. Please help me!!!!! AND DO NOT GIVE ME NO GOD DAM LINKS!!!!!!!!!!!! :) I really want to know what 2+2 is.