A population of bacteria is treated with an antibiotic. It is estimated that 5,000 live bacteria existed in the sample before treatment. After each day of treatment, 40% of the sample remains alive. Which best describes the graph of the function that represents the number of live bacteria after x days of treatment?

f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0
f(x) = 5000(0.6)x, with a vertical asymptote of x = 0
f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0
f(x) = 5000(1.6)x, with a vertical asymptote of x = 0

Answers

Answer 1

Answer:

Step-by-step explanation:

The function is modeled after

[tex]y=a(b)^x[/tex] where a is the initial amount and b is the growth/decay factor. If we start with 5000 bacteria, then a = 5000. The decay factor is determined by the rate at which the bacteria decrease. We know that rate at which the bacteria decrease is 60% because 40% are left alive; therefore, b = .4:

[tex]f(x)=5000(.4)^x[/tex] with a horizontal asymptote of y = 0, the first choice.

Answer 2

The function that represents the number of live bacteria after x days of treatment can be written as f(x) = 5000(0.4)ˣ

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given that 40% of the sample remains alive, which means that the number of live bacteria is decreasing exponentially over time.

The base of the exponential function is 0.4, as 40% can be written as 0.4. The initial population of bacteria is 5000, so we multiply the base by 5000 to get the total number of live bacteria after x days.

The graph of this function will have a horizontal asymptote of y = 0, since the number of live bacteria will approach zero as time goes on.

f(x) = 5000(0.4)ˣ is the function represents the number of live bacteria after x days of treatment

Hence, option A is correct, f(x) = 5000(0.4)ˣ with a horizontal asymptote of y = 0.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ5


Related Questions

Need help ASAP please

Answers

Answer:

10  

Step-by-step explanation:

1. AB

2 BC

3. CD

4. DE  

5. AC  

6. B D

7.CE

8.AD

9.BE

10. A E

please help, i really dont understand. will give brainliest.

At Sarah's cafe, customers can choose one of the following entrees: burrito, pasta, soup or taco. They can also order a side dish. They have a choice of french fries, salad, potato salad or coleslaw. Finally customers get to choose one of the following drinks and a choice of soda, coffee, water, milk or juice.

For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?
*The answer is not 120 btw*

Answers

Answer:

I've done the math and it's 120, people say it's 120 and online 120, I really wanna help but I just

When 12% discount is given a calculator is sold for Rs 1760 find the marked price of the calculator.​

Answers

Answer:

- Hello Risap!

[tex] \large{ \red{\tt{❃ } \: \blue{ PROVIDED}}}[/tex] : Discount % = 12% & Selling price [ SP ] = Rs 1760

[tex] \large{ \tt{ \red{❀ \: \blue{TO \: FIND}}}}[/tex] : Marked price of the calculator [ MP ]

[tex] \large{ \tt{ \green❊ \pink { \: S \: O \: L \: U \: T \: I \: O \: N} \green { \: ❊}}}[/tex]

[tex] \large {\tt{✢ \: SP = MP - dis\% \: of \: MP}}[/tex]

[tex] \large{ \tt{⟶ \: 1760 = MP - 12\% \: of \: mp}}[/tex]

[tex] \large{ \tt{⟶ \: 1760 = MP - \frac{12}{100} \: mp }}[/tex]

[tex] \large{ \tt{⟶ \: 1760 = \frac{100 \: MP - 12 \: mp}{100} }}[/tex]

[tex] \large{ \tt{⟶ \: 88 \: MP = 176000}}[/tex]

[tex] \large{ \tt{⟶ \: MP= \frac{176000}{88} }}[/tex]

[tex] \large{ \tt{⟶ \: MP = Rs \: 2000}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \red{ \tt{MP = Rs \: 2000}}}}}}}[/tex]

Hope this helps! Let me know if you have any other questions regarding my answer and also , notify me if you need any other help! :)

(PLEASE HELP you don't have to graph I just need the equations) Dr. Gilmore just got his PhD, and he wants to print copies of his thesis in hardcover book
format. He could use Belmont Printing, paying a setup fee of $40 and $4 for every book
printed. Alternately, he could go through Fairfax University, paying an up-front fee of $30
and $6 per book. It turns out that, given the number of books Dr. Gilmore wants to print, the
two options cost the same amount. How many books is that?
Write a system of equations, graph them, and type the solution.

Answers

the answer is B
yeah yeah that’s what she was saying she didn’t yyyyyyyyu

Triangle ABC is translated right 8 units and down 15 units to triangle XYZ. Triangle ABC
has these angle measures:

m∠A=45∘
m∠B=53∘
m∠C=82∘

What is the measure of angle Y?

Answers

9514 1404 393

Answer:

  53°

Step-by-step explanation:

The names of the triangles indicate that angle B corresponds to angle Y. Translation does not affect side lengths or angle measures, so angle Y is the same measure as angle B.

  m∠Y = 53°

Answer: 53

Step-by-step explanation:

Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?

Answers

Answer:

[tex]x * (x - 2) = 143[/tex]

Where [tex]x = 13[/tex]

Step-by-step explanation:

Given

[tex]x (x - \_) = 143[/tex]

Required

Complete the blank

The complete question implies that the product include 2 consecutive odd numbers.

Two numbers whose products equal 143 are: 11 and 13

i.e. [tex]11 * 13 = 143[/tex]

So, we have:

[tex]x * (x - \_) = 13 * 11[/tex]

By comparison, we have:

[tex]x = 13[/tex]

[tex]x - \_ = 11[/tex]

Collect like terms

[tex]\_ = x - 11[/tex]

Substitute 13 for x

[tex]\_ = 13 - 11[/tex]

[tex]\_ = 2[/tex]

So, the complete equation is:

[tex]x * (x - 2) = 143[/tex]

Where [tex]x = 13[/tex]

Answer:

2

and

13

Step-by-step explanation:

Got it right on edge.


The diameter of a cylinder is 4 m. If the height is triple the radius, which is the closest to the
?volume of the cylinder
75.40 m3 o
251.33 m3 o
100.53 m3 o
613.19 m3 o
WILL MARK BRAINLIEST OR WHATEVER NEEDED ASAP

Answers

Answer:

A. 75.40 m³

Step-by-step explanation:

Diameter of cylinder (d) = 4 m

Radius (r) = ½(d) = ½(4) = 2 m

Height (h) = 3 × r = 3 × 2 = 6 m

Volume of cylinder = πr²h

Substitute the values

Volume of cylinder = π*2²*6

Volume of cylinder = π*4*6

Volume = π*24

Volume = 75.40 m³

Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1

Answers

Answer:

2x²+3x-6

Step-by-step explanation:

f(x)+g(x)

= x²+6x-5+x²-3x-1

=2x²+3x-6

HELPPP PLEASE!!!

Salvador reads 12 books from the library each month for n months in a row. Write an expression to show how many books Salvador read in all. Then, find the number of books Salvador read if he read for 7 months.

Answers

Answers:

The expression is 12n

He reads 84 books in 7 months

==================================================

Explanation:

For 1 month, he has read 12*1 = 12 books

For 2 months, he has read 12*2 = 24 books

For 3 months, he has read 12*3 = 36 books

and so on

If we let n represent the number of months, then 12*n or 12n represents the number of books read after n months. The variable n is some placeholder for a positive whole number.

If we replaced n with say n = 7, then 12*n = 12*7 = 84 books are read in 7 months.

Salvador reads 12 books each months so for n months he reads 12n books. In 7 months, n=7, so he reads 12*7 which is 84 books

ef is the median of trapezoid abcd (please explain the answer im so confused lol)

Answers

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

[tex]EF = ( BC + AD ) / 2[/tex]

Insert known equations.

[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]

Simplify within parentheses.

[tex]4x-18=[x+12+3x-4]/2[/tex]

[tex]4x-18=[x+3x+12-4]/2[/tex]

Add.

[tex]4x-18=[4x+8]/2[/tex]

Divide.

[tex]4x-18=2x+4[/tex]

Simplify.

[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]

[tex]2x=22[/tex]

Divide both sides by 2.

[tex]x=11[/tex]

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

[tex]BC =x+12[/tex]

[tex]BC = 11+12[/tex]

[tex]BC = 23[/tex]

-

[tex]AD = 4x-18[/tex]

[tex]AD = 4(11)-18[/tex]

[tex]AD = 44-18[/tex]

[tex]AD = 26[/tex]

-

[tex]EF = 3x-4[/tex]

[tex]EF = 3(11)-4[/tex]

[tex]EF = 33-4[/tex]

[tex]EF = 29[/tex]

Answer:

Part I: x = 11

Part II:

BC = 23AD = 26EF = 29

Given two consecutive integers whose sum is 45, find the smaller of the two integers.

Answers

Answer:

22 and 23

Step-by-step explanation:

let two consecutive number be

x and x+1

now,according to the question

x+x+1=45

or,2x=45-1

or,2x=44

or,x=44/2

:-x=22

Hence, the two consecutive numbers are

22 and 23

1) Let f be the function defined by the
graph shown at right, with y = f(x).
a) What is the value of f(-9)?
-14-13-12-)1-10-9
10 11 12
b) How many solutions are there to
the equation f(x) = -2? (Just
state how many there are.)
c) State any and all intervals on which fis decreasing
d State any and all values of x for which fax>0. Ilse intervals to do this

Answers

I think it’s C I hope this helps

the expression below is a factorization of what trimonial (5x+6)(3x-2)

Answers

Answer:

[tex]15x^2 + 8x -12[/tex]

Step-by-step explanation:

(5x+6)(3x-2)

"foil" it out

F: 5x * 3x  = 15x^2

O: 5x * -2  = -10x

I: 6*3x = 18x

L: 6 * -2 = -12

Answer:

15x² + 8x - 12

Step-by-step explanation:

(5x + 6)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

5x(3x - 2) + 6(3x - 2) ← distribute both parenthesis

= 15x² - 10x + 18x - 12 ← collect like terms

= 15x² + 8x - 12

who can help me out with this one?​

Answers

Answer:

(x + 1)² + (y - 2)² = 9

Step-by-step explanation:

Equation of the circle with center (h, k):

(x - h)² + (y -k)² = r²  where r is radius

Center(-1 , 2) ;  r =3

(x - [-1])² + (y - 2)² = 3²

(x + 1)² + (y - 2)² = 9

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A vegetable tray contains 10 red peppers and 4 green peppers. What is the ratio of the number of green peppers to the number of yellow peppers?
A. 4:0
B. 2:5
C. 2:7
D. 4:10

Answers

Answer:

4 : 0

Step-by-step explanation:

10 red and 4 green

There are 0 yellow peppers

green: yellow

4 : 0

Rewrite this equation in the form y = ax + b.
2y = 4x - 8
Enter the correct answer.
OOÐ
DONE
Clear all
ĐOO
?

Answers

Answer:

y = 2x -4

Step-by-step explanation:

2y = 4x - 8

Divide each side by 2

2y/2 = 4x/2 - 8/2

y = 2x -4

factorize: xy-3x - 5y + 15

Answers

Answer:

Step-by-step explanation:

xy-3x-5y+15

x(y-3)-5(y-3)

(y-3)(x-5)

I don’t know what to write but ye I need help with this question. Thanks

Answers

Answer: the first table.

Step-by-step explanation:

The terms in the domain (x) should have only one range (y)

Answer:

A) x: -3, 0, -2, 8

    y: -1, 0, -1, 1

Step-by-step explanation:

Function has only one output for each input.

OAmalOHopeO

Find the circumference of this circle
using 3 for TT.
C ~ [?]
24
C = id

Answers

Answer:

72

Step-by-step explanation:

The diameter is 24

pi is approximated by 3

The circumference is given by

C = pi *d

   = 3 * 24

    = 72

Find two numbers whose sum is sixty eight and whose difference is twenty two

Answers

Answer:

45 and 23

Step-by-step explanation:

Let x equal the first number and y equal the second number.

We can set the following equations up with our information:

[tex]x+y=68[/tex]

[tex]x-y=22[/tex]

Adding the two equations together, we get:

[tex]2x=90[/tex]

Dividing by two, we receive [tex]x=45[/tex]

We can plug this into our first equation to get [tex]45+y=68[/tex].

Subtracting 45 from both sides, we get [tex]y=23[/tex].

The two numbers are 45 and 23, solved using system of equations.

What is a system of equations?

A system of equations is a set of equations, involving similar variables used to solve for the variables simultaneously.

How to solve the question?

In the question, we are asked to find the two numbers, whose sum is 68 and the difference is 22.

We assume the two numbers to be x and y.

The sum of the two numbers is given to be 68.

This can be shown as an equation, x + y = 68 ... (i).

The difference of the two numbers is given to be 22.

This can be shown as an equation, x - y = 22 ... (ii).

Equations (i) and (ii) together makes a system of equation in the variables x and y.

To solve for the system of equation, we add (i) and (ii), to get:

x + y = 68

x - y = 22

_________

2x  = 90,

or, x = 45.

Substituting x = 45 in (i), we get:

x + y = 68,

or, 45 + y = 68,

or, y = 23.

Thus, the two numbers are 45 and 23, solved using system of equations.

Learn more about system of equations at

https://brainly.com/question/13729904

#SPJ2


Need help ASAP plz

Answers

Answer:

C) postulate

An axiom or a postulate is an accepted statement of fact.

OAmalOHopeO

Answer:

Im pretty sure its definition

write an inequality and show on a number line all numbers greater (-3) but less than equal to3

Answers

Answer:

-3<x<_3

You plot this on a number line by writing and open circle on -3 and drawing and arrow from that open circle all the way until 3 and them draw a closed circle on 3.

Step-by-step explanation:

Which polygon has an interior angle sum of 1080°?

Answers

Answer:

its octagon. first and last one it has total 8 sides

The polygon with an interior angle sum of 1080° is an octagon

Instructions: Find the missing side of the triangle.
25
20
х
X =

Answers

Answer:

x = 15

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 20² = 25²

x² + 400 = 625 ( subtract 400 from both sides )

x² = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

What is the image point of (5, 1) after a translation right 5 units and down 2 units?
Submit Answer
PLS HELP ASAP

Answers

Answer:

(10,-1)

Step-by-step explanation:

A translation to the right is (x+5)

A translation down 2 is (y-2)

(5+5, 1-2)

(10,-1)

Answer:

(10, - 1 )

Step-by-step explanation:

A translation right 5 units means add 5 to the x- coordinate

A translation down 2 units means subtract 2 from the y- coordinate

(5, 1 ) → (5 + 5, 1 - 2 ) → (10, - 1 )

A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
200 employees.
What is the best way to randomly choose these 200 employees?

Answers

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

Choose the correct description of the graph of the compound inequality:

x-3<-9 or x+5>equal to 12

Answers

Answer:

C

Step-by-step explanation:

x - 3 < -9

simplifies to x < -6, which is to the left with an open circle

x + 5> 12

simplifies to x > 7, which is to the right a closed circle

I don't need a language ABC​

Answers

Answer:

yes

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Use inductive reasoning to predict the next three numbers in the pattern.
9 ,3 ,1 ,1/3, 1/9
Predict the next three numbers in the pattern.

Answers

Answer:

the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243

Step-by-step explanation:

to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer

We have that The Next 3 patterns are

1/27,1/81,1/243

From the Question we are told that

Pattern. 9 ,3 ,1 ,1/3, 1/9

Generally

Using in inductive reasoning the pattern progresses as a function of  dividing by 3

Therefore

The next three number are

[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]

[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]

[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]

Therefore

The Next 3 Numbers are

1/27,1/81,1/243

For more information on this visit

https://brainly.com/question/22923038?referrer=searchResults

simplify the radical expressions pleaseeeeee help I haven’t done algebra in 2 years

Answers

For the first one, simplify the radicals. The 3 root 8 can be rewritten as 3 root 4 root 2, which turns into 6 root 2. The 4 root 3 can’t be simplified, so just multiply. 6*4=24 and the root 2*root 3 turns into root 6. So your answer for the first one is 24 root 6.

For the next one you can’t have a radical in the denominator so just multiply by root 3/ root 3, which gives you 6 root 3/3 which simplifies into 2 root 3.
Other Questions
A computer parts company wants to make a rectangular memory board that has a perimeter of 14 cm and a diagonal of length 5 cm. What are the dimensions of the board? HELPPP PYTHAGOREAN THEOREM Answer yes ooh ooh ahaha Please help, the question is in the picture A bank has agreed to lend you $53,000 for a home loan. The loan will be fully amortized over 39 years at 13.50%, with .44 points. The loan payments will be monthly. The closing cost is estimated to be $3,894 and you plan to refinance the mortgage in 8 years. Calculate the actuarial rate. what do you mean by federalism? how will you have a successfull conversation _____ are related to poor productivity of harvest due to poor care for soil. Which of the following apply to organic compounds. Select all that apply. Organic compounds cannot be synthesized. Organic compounds contain carbon. All organic compounds are products of living things. Organic compounds can be synthesized. All compounds that contain carbon are organic. Rhonda walked diagonally across a rectangular playground with dimensions 60 m by 45 m. She started at point C. Determine the angle, to thenearest degree, between her path and the longest side of the playground.B45mD60 m What is the difference between independent and dependent demand. Group of answer choices independent iemand is based on market forces while Dependent demand is based on production schedule dependent demand is what determines independent demand independent demand is based on dependent demand dependent demand is based on sales while independent demand is based on management decisions Find the value of a.A. 58B. 130C. 86D. 65 1. Calpurnia2. Cassius3. Brutus4. Marullus5. Antony Stephanie volunteers at an organization that collects and distributes clothing to those in need. As she is packing boxes to send overseas, she finds a donated item of clothing that perfectly suits her sense of style and would be a versatile item to add to her own wardrobe. Stephanie sets the item aside to take home with her. According to virtue-based ethics, why is Stephanie's action unethical? Stealing is always wrong. Her action cultivates the vice of greed. Her action will deprive needy recipients of clothing. She is not following the instructions she was given. Nancy took a breath and gathered her thoughts. She imagined that passing through the gray-zone door into Level 4 was like a space walk, except that instead of going into outer space, you went into inner space, which was full of the pressure of life trying to get inside your suit. People went into Level 4 areas all the time at the Institute, particularly the civilian animal caretakers. But going into a containment zone to perform a necropsy on an animal that had died of an amplified unknown hot agent was something a little different. This was high-hazard work. The central idea of this excerpt is that working in a containment zone is very dangerous. Which phrases from the excerpt most support the central idea Forming a hypothesis is the first step of the scientific method. if the cost of 5 dozen of copies is rupees 60 what is the cost of 33 such copies ITS IN THE PICTURE!!! 52degreesPLEASEHEHEH