A colony of bacteria is growing at a rate of 50% per hour.


If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours?

1139 bacteria

Answers

Answer 1

Answer:

1139

Step-by-step explanation:

The exponential growth rate formula is as follows:

F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have

A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get

F = 100(1+0.5)^6 = 1139


Related Questions

Graph the image of the polygon after a reflection in the line y= −x.

Answers

Answer:

If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

Step-by-step explanation:

Since you didn't provide an image of the polygon I can't give you a direct answer but this is how you do it.

How many real solutions are there for the quadratic equation below?

0=2x^2-3x+7

A) 0

B) 1

C) 2

D) infinite

Answers

Answer:

2 solutions

Step-by-step explanation:

2 solutions

3/4 - i[tex]\sqrt{47}[/tex]/4

3/4 + i[tex]\sqrt{47}[/tex]/4

C= 5 by 9 (F − 32)where F is the temperature in °F and C is the temperature in °C. Convert the temperature −10℉ into ℃ .Give your answer to 2 d.p.​

Answers

Answer:

-23.33 °C

Step-by-step explanation:

C = 5/9 (-10 - 32)

C = 5/9 (-42)

C = -23.3333 ≈ -23.33 °C

hope it helps :)

mark brainliest!

What’s the slope of a line that goes through (0,2)(7,5)

Answers

Answer:

slope = 3/7 or 0.43

Step-by-step explanation:

use the slope(gradient) formula

SOLVE

x + 3y = -1

y = x - 7





Write the solution below.

Answers

Answer:

x= 5 ........................ .......

PLEASE HELP SOON!!!!!!!!!!!!!!!

Answers

Answer:

35

Step-by-step explanation:

10 - (-20) turns into 10+20 and 8+(-3) is just 8-3

Answer:

Step-by-step explanation:

remove brackets

8-3+10+20=35

HELP ASAP NO LINKS PLS (OR THEY WILL BE REPORTED) SIMPLE ANSWER PLS


Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.

Answers

Answer:

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

Step-by-step explanation:

Just to add a bit more information, "Elimination" Can have a variety of other interpretations.  Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.'  Do not worry if you have not heard of these terms.  They are used in Linear Algebra when referring to "Elimination techniques"

 

Gaussian Elimination

Gauss-Jordan Elimination

LU-Decomposition

QR-Decomposition

 

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

 

Substitution is the preferred method for 2 equations in 2 unknowns.  The constants are unimportant other than having a non-zero determinant.  It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:

 

Example:

 

4X + 5Y = 9

5X -  4Y = 1

 

Notice that 20 is a LCM of either the X or Y variable.  So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)

 

4(4X + 5Y = 9)

5(5X -  4Y = 1)  

 

Multiplying to produce the LCM factors:

 

16X + 20Y = 36

25X -  20Y = 5

 

Adding the equations

 

41X = 41

X = 1

 

Substitution into either equation yields

Y = 1

 

Elimination techniques are preferred for Rank-n>3

Answer:

I like the view

Maya’s bird feeder holds 1/2 of a cup of bird seed. Maya is filling the feeder with a scoop that hold 1/6 of a cup of birdseed how many scoops will maya put into the feeder

Answers

Answer:

3 scoops

Step-by-step explanation:

If the bird feeder holds 1/2 cup, and Maya is filling it with a scoop that holds 1/6 cup of birdseed, then Maya will need 3 scoops of the 1/6 cup scoop.

1/6 + 1/6 + 1/6

= 3/6

= 1/2

Need help ppl keep givin me links

Answers

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.

The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.

a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.

b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.

Answers

Answer:

Step-by-step explanation:

a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit

b. 50n > 135 + 4.50n

Here you go. 29-28+28+11-11=?

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

29-28=1

1+28=29

29+11=40

40-11=29

Thank you for this challenge that was half the challenge of a challenge........

Better hope you stay up long enough to see the animatronics. :)

evaluate f*ds where f = <3xy^2,3x^2y,z^3> and m is the surface of the sphere of radius 5 centered at the origin

Answers

The value of f.ds = 20π.

What is Flux?

The quantity of electric or magnetic field lines that flow across a surface in a specific period of time is known as flux. Field lines offer a way to visualise the size and direction of the field under study.

Given:

f = <3xy²,3x²y,z³>

Using Divergence Theorem

P= 3xy²

Q= 3x²y

R = z³

So, dP/ dx= 3y²

dQ/ dy = 3x²

dQ/ dz = 3z²

So, [tex]\int\limits\int\limits\int\limits dV[/tex]= [tex]\int\limits\int\limits\int\limits (dP/ dx + dQ/dy+ dR/dz)[/tex]

= [tex]\int\limits\int\limits\int\limits[/tex] (3y² + 3x² + 3z²)

= [tex]\int\limits\int\limits\int\limits[/tex] 3 (y² + x² + z²)

Since the radius is 5.

= [tex]\int\limits\int\limits\int\limits[/tex] 3(5)

= 15 [tex]\int\limits\int\limits\int\limits[/tex] dV

= 15 (4/3)π

= 20π

Learn more about flux here:

https://brainly.com/question/14527109

#SPJ5

Please help guys this is just domain and range

Answers

Answer:

domain: x>=0

range: y>=1

Step-by-step explanation:

domain: x>=0

range: y>=1

Given the function f(x)=|x|, if the function is shifted 0.5 units down, then shifted 3 units left, and reflected over the y-axis, what is the equation of the new function

Answers

Answer:

f(x) = |x - 3| - 0.5.

Step-by-step explanation:

).5 units down gives |x| - 0.5

3 units to the left gives |x + 3| - 0.5

Reflection over the y-axis gives |x - 3| - 0.5.

Write the following expression as a sum and/or difference of logarithms. Express powers as factors.
log_b (u^9v^4) u>0, v> 0

Answers

Answer:

9log_b(u)+4log_b(v)

should be like that. let me know if iam wrong

Anu and Aji solve an equation. In solving Anu commits a mistake in constant term and finds the roots 8 and 2. Aji commits a mistake in the coefficient of x. The correct roots are (a) 9,1 (b)-9,1 (c) 9, -1 (d) -9.-1​

Answers

The correct roots of the equation are (a) 9 and 1

From the complete question, their mistakes are:

Anu

Roots: 8 and 2Wrong constant term

Aji

Roots: -9 and -1Wrong coefficient

A quadratic equation is represented as:

[tex]ax^2 + bx + c = 0[/tex]

Where:

[tex]\alpha\beta = \frac ca[/tex] --- product of roots

[tex]\alpha + \beta = -\frac ba[/tex] --- sum of roots

Anu made a mistake in the constant term, so we consider the sum of roots

[tex]Sum = 8 + 2[/tex]

[tex]Sum = 10[/tex]

Aji made a mistake in the coefficient, so we consider the product of roots

[tex]Product = -9 \times -1[/tex]

[tex]Product = 9[/tex]

The possible equations from the above sum and products are:

[tex]x^2 + 10x + 9 =0[/tex].[tex]x^2 - 10x + 9 =0[/tex].[tex]x^2 + 10x - 9 =0[/tex].[tex]x^2 - 10x - 9 =0[/tex]

Of all the above equations, the most likely equation is [tex]x^2 - 10x + 9 =0[/tex], and it has a root of 9 and 1

Hence, the correct roots are (a) 9 and 1

Read more about roots of equations at:

https://brainly.com/question/3923172

please help me asappp :D



ty :)

Answers

Answer:

5x + 8y = 24

Step-by-step explanation:

Multiply the equation 8

8 ( y = -5x/8 + 3 )

8y = -5x + 24

5x + 8y = 24

Solve for x:
7 |x - 2| + 7 = -2 |x - 2| + 2

Answers

Answer:

It is a fraction -5/9

Step-by-step explanation:

Please help on both. I’m not sure of my answrs before I submit. Thank u :)

Answers

Answer:

ok so first you got to wait All the faith he had had had had no effect on the outcome of his life. ...

2 One morning I shot an elephant in my pajamas. ...

3 The complex houses married and single soldiers and their families. ...

4 The man the professor the student has studies Rome.

Step-by-step explanation:

When Bill bought a marigold plant, it was 1 1/4
inch tall. After the first week, it measured 2 inches tall. After the second week, it was 2 3/4
inches. After week 3, it was 3 1/2 inches tall.

Answers

don't worry i help you now

Step-by-step explanation:  Let's come up with points that would be on the graph of a str. line:

(0, 1/4), (1, 1 1/12), (2, 1 11/12), (and so on).

Assume that this is a line, a str. line, and not a curve.  

The slope of this line is

       1 11/12 - 1 1/12

m = ------------------------ = 10/12, or 5/6.

              2 - 1

We now have the slope and y-intercept:  slope = m = 5/6; intercept = 1/4.

The line is then    y = (5/6)x + 1/4.

To answer this question, substitute 4 for x and calculate y:

  y = (5/6)(4) + 1/4 = 20/6 + 1/4   =  40/12 + 3/12   =   43/12 inches.

That's 3 7/12 inches.

i think that may help you  

H.E.L.P 100 POINTS!!! Match the addition and subtraction problems to their solutions: (See the picture)

Answers

Here you go,Please give Points.

Which theorem would be used to prove the triangles below as congruent?
A: HL
B: SSS
C: ASA
D: AAA

Answers

Answer:

  A:  HL

Step-by-step explanation:

The hypotenuses of these right triangles are marked congruent.

One leg of these right triangles is marked congruent.

The HL theorem applies.

Answer:

A

Step-by-step explanation:

The hypotenuses of these right triangles are marked congruent.

One leg of these right triangles is marked congruent.

The HL theorem applies.

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

Answer:

option 4

Step-by-step explanation:

(y intercept and negative slope)

Please help me !!


Nine more than eight times a number (x) is at least forty-nine

What’s the inequality & the solution to the inequality is ..

Answers

Answer:

x = 5.

Sorry if you didn't mean find x and I have no idea about the inequality stuff.

Step-by-step explanation:

We can do a reverse equation in steps. So the first thing we'll do is..

49 - 9 which equals 40.

Then we should do a division since the opposite of multiplication is division.

40 divided by 8 = 5.

To check that we do 5 x 8 = 40 + 9.

Hope that helps. x

Answer:

See below

Step-by-step explanation:

9 + 8x [tex]\geq[/tex] 49

Subtract 9 from both sides

8x [tex]\geq[/tex] 40

Divide by 8

x [tex]\geq[/tex] 5

Two systems of equations are shown: System A System B 6x + y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 Which of the following statements is correct about the two systems of equations? The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A. They will have the same solution because the first equations of both the systems have the same graph. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.

Answers

Answer:

well i dont know this sorry

Step-by-step explanation:

what is 7.5% as a fraction

Answers

Answer:

15/2

Step-by-step explanation:

hope it helps (•‿•)

Sam currently 100 followers on TikTok, and gains 8 subscribers a week. Alex currently has 220 followers, and gains 3 followers each week.
Part A: Set up a system of equations to shows each person's subscribers. (2 points)
Part B: After how many weeks will Sam and Alex have the same number of subscribers? (1 point)
Part C: How many subscribers will Sam and Alex have when their subscriber count is equal? (1 point)

Answers

Part A: The system of equations to shows each person's subscribers is:

S  =  100  +  8x

A  =  220  +  3x

Part B: Sam and Alex will have the same number of subscribers after 24 weeks

Part C: Sam and Alex will have 292 subscribers when their subscriber count is equal

Let the number of weeks be x

The initial number of followers that Sam has = 100

Sam gains 8 subscribers every week

Let the total number of subscribers that Sam has be S

The equation that represents Sam's total subscribers is:

S    =   100  +   8x..................(1)

The initial number of followers that Alex has = 220

Alex gains 8 subscribers every week

Let the total number of Alex's subscribers be A

A  =  220  +  3x....................(2)

If Sam and Alex have the same number of subscribers:

S   =   A

100 + 8x  =  220  +  3x

8x  -  3x   =   220   -  100

5x    =   120

x   =  120/5

x   =   24

Sam and Alex will have the same number of subscribers after 24 weeks

To find the number of subscribers that Sam and Alex will have when their subscriber count is equal, substitute x = 24 into equation (1)

S = 100 + 8x

S  =  100  +  8(24)

S  =   292

Sam and Alex will have 292 subscribers when their subscriber count is equal

Learn more here: https://brainly.com/question/25898415

Please help!!

I have to find the slope of the blue line on the graph

Answers

Answer:

2

Step-by-step explanation:

Using points (0,0) and (2,4)

slope= (y2 - y1)/(x2 - x1)

= (4-0)/(2-0)

= 4/2

= 2

STUDY TIP 1

Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.

FOLLOW FOR MORE TIPS !!!

Answers

Answer:

THANK U!

FOR THE TIP.

HAVE A GREAT DAY!

Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c

Answers

Y=2x+9 it’s hard to explain but I’m pretty sure this is the answer
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