A blood sample has 50,000 bacteria present. a drug fights the bacteria such that every hour the number of bacteria remaining, r(n), decreases by half. If r(n) is an exponential function of the number, n, of hours since the drug was taken, find the bacteria present four hours after administering the drug.

Answers

Answer 1

Answer:

3125 bacteria

Step-by-step explanation:

Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') =  (1/2)r(n) =  (1/2)(1/2)r(0) = (1/2)²r(0).

After n hours, r(n) = (1/2)ⁿr(0)

So when n = 4 hours and r(0) = 50,000, then

r(4) = (1/2)⁴r(0)

r(4) = (1/2)⁴ × 50,000

r(4) = (1/16) × 50,000

r(4) = 3125

So, after 4 hours, we have 3125 bacteria present.


Related Questions

In a survey 80 students were asked to name their favorite subject.30 students sad. English was their favorite subject. What percent of the students surveyed said that the English was their favorite subject.∛

Answers

Answer:

37.5%

Step-by-step explanation:

30/80=37.5 percent

Answer:

37.5% of students say English is their favorite subject

Step-by-step explanation:

30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)

0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!

Evaluate 12.3p + 11.5r when p = 6 and r = 7.

Answers

Step-by-step explanation:

12.3(6) + 11.5(7)

73.8 + 80.5 = 154.3

HEEEEEEEEEELPPP I NEED ANSWER HELP

A bakery sold 154 mocha cupcakes in a day, which was 35% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

440 bevause 154 is 35 percent of 440

The 154 mocha cupcakes represents a proportion of the total cupcakes sold in the bakery. The total number of cupcakes sold in the bakery on that day is 440.

Given that:

[tex]Mocha = 154[/tex]

From the question, we understand that the bakery sells other cupcakes too.

And Mocha only represents 35% of the total.

This means that:

[tex]Mocha = 35\% \times Total[/tex]

So, we have:

[tex]154 = 35\% \times Total[/tex]

Make Total the subject

[tex]Total = 154 \div 35\%[/tex]

[tex]Total = 440[/tex]

Hence, 440 cupcakes were sold on that day.

Read more about proportions at:

https://brainly.com/question/11654319

5x and x+5 is this equivalent if so explain even if it isn’t still explain lol

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

No it is Not Equivalent

Step-by-step explanation:

5x and x + 5 are NOT equivalent because 5x would be 5 times x or 5(x) but for x + 5 it is just 5 + x they will not be the same value either.

x^2 - 6x+ 5= -11 number and type of solutions

Answers

Answer:

no real solutions

3±32i

Step-by-step explanation:

used quadratic formula

Explain how 6-^2 is different than 6^2

Answers

Answer:

it aint they are both the same

I think you meant 6^-2 vs 6^2. The negative exponent indicates you need to use the reciprocal number raised to the power, in this case 6^-2 = 1/6^2 = 1/36 while 6^2 = 36

subtract and simplify 5 6/9 - 2 1/3

Answers

Answer:

Your answer should be 3 1/3

Step-by-step explanation:

:)

Travis, Jessica, and Robin are collecting donations for the school band. Travis wants
to collect 20% more than Jessica, and Robin wants to collect 35% more than Travis.


If the students meet their goals and Travis collects $43, how much money did they collect
in all?

Answers

Answer:

their total collected is $135.45

Step-by-step explanation:

travis collect 20% more than Jessica

if travis collect $43 then

20% of 43

43 × 20 ÷ 100 = $8.6

Jessica collected $8.6 less than travis

$43 - $8.6 = $34.4

and Robin collect 35% more than travis

35% of 43

43 × 35 ÷ 100 = $15.05

therefore Robin collect $15.05 more than travis

$43 + $15.05 = $58.05

their total collected

Jessica collected $34.4

robin collected $58.05

travis collected $43

total

$34.4 + $58.05 + $43 = $135.45

The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS

Answers

Answer:

your answer will be C. y = x-4

Step-by-step explanation:

hope it helps you...

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

I am pretty sure it is The third answer choice X < 8
It’s the first answer choice


plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

1800

Step-by-step explanation:

30 x 60

Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $65 plus $20 for every mile he walks. How many miles will Logan need to walk in order to receive $325?

Answers

Answer:

Number of miles= 13

Step-by-step explanation:

Giving the following information:

He is receiving total contributions of $65 plus $20 for every mile he walks.

To calculate the number of miles to reach $325, we need to use the following formula:

Total collection= fixed contribution + variable contribution per mile*number of miles

325= 65 + 20*number of miles

260/20 = number of miles

number of miles= 13

If the length of SR is 4 meters and the length of ST is 8 meters , what is the length of PQ in meters

Answers

Answer:

the length of PQ is 8.9 m

Step-by-step explanation:

The computation of the length of PQ in meters is shown below:

Here we applied the Pythagoras theorem

c² = a² + b²  

 = 4² + 8²

 = 16 + 64

= 80

Now square root to the both sides

c = √80

=  8.94427191

= 8.9 m

Hence, the length of PQ is 8.9 m

The digit 4 has a greater value in because its value is as much as its value in .

Answers

Question:

Fill in the blanks to complete the statements about the numbers 0.04 and 0.004. In 0.04, the digit 4 is in the place. In 0.004, the digit 4 is in the place.

The digit 4 has a greater value in because its value is as much as its value in

Answer:

The digit 4 has a greater value in because its value is as much as its value in  0.04

Step-by-step explanation:

Given

0.04 and 0.004

Required

Which has a greater value of 4

In 0.04, the value of 4 is hundredths i.e. 0.01

In 0.004, the value of 4 is thousandths i.e. 0.001

By comparison:

[tex]0.01 > 0.001[/tex]

So, 4 has a greater value in 0.04 than 0.004

Help I’ll give Brainly est

Answers

the answer is C i think

Answer:

2x is less than 8 or B

Step-by-step explanation:

When looking at the number line you got to look to see if the circle is closed or not. In this case it is a closed circle meaning to include the number. Then look at what direction it is going toward. Is it increasing? Is it decreasing? In this case it is decreasing. Meaning that 2x is less than 8

NOT A - Reason why it is not a is because 8 is not included in the range of numbers

NOT C

Find the area of the polygon. Please help.

Answers

Answer:

40 units

Step-by-step explanation:

The area of this rhombus can be broken up to four 4 by 5 right triangles, each having an area of 4*5/2=10, so the answer to your desired question is 10*4=40

Hey there!

The correct answer is 40 units squared.

We can solve this by breaking up the shape. There are four equivalent right triangles, so we can solve for one, and multiply it by 4! The area of a triangle is bh/2 or base * height / 2. So, we can set up the following equation:

(4 * 5) / 2 = area

20 / 2 = area

10 = area

Now we can multiply it by 4, which gives us 10 * 4 or 40.

Have a terrificly amazing day! :D

I had this function question that I just don't understand. Can someone explain it please

Answers

Answer:

oopsie delete this

Step-by-step explanation:

Here is a right square pyramid. The length of each side of the base is 3 cm. The height of the pyramid is 8 cm. What is the volume of this pyramid?

Answers

9514 1404 393

Answer:

  24 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3s²h

where s is the side length of the square base, and h is the height.

  V = (1/3)(3 cm²)(8 cm) = 24 cm³

The volume of the pyramid is 24 cm³.

Solve for x in a triangle. Round your answer to the nearest hundredth

Answers

The answer is 9tan(44)
I don’t have my calculator nearby so just type that in.

Answer:

x= 8.69

Step-by-step explanation:

tanx = opp/ adj

tan44° = x/9

x= tan44° * 9

*make sure your calculator is in degree mode

x= 8.69

which one is a scaled copy

Answers

Answer: D

Step-by-step explanation:

I believe it’s D because a scaled copy is similar to the original shape, but with different shapes. It might be C, but however in math, to make a scaled copy, you have to multiply length number with the same number. (Example: Length is 2, so the scaled copy is 4.)

I hope you have a good day.

1/4 divided bye 3/3 is what

Answers

Step-by-step explanation:

.25 or 1/4 hope this helps

Answer:

1/4

Step-by-step explanation:

Any expression divided by itself equals 1

1/4÷1

Any expression divided by 1 remains the same

1/4

the solution is 1/4

PLSSSSSSSS HELPPPPPP ASAPPPPP

Answers

I believe that the answer is A

WILL GIVE BRAINLIEST AND 5 STAR PLS HELP

Answers

Answer:

The Anser Is C

Step-by-step explanation:

Question Do you play R~o~b~l~o~x Adopt ME im New And Started Yestarday

Friend ME At archerpro46

Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below.
300 mm
200 mm
50 mm​

Answers

Complete question :

Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. Obtain the area of the front face of the model.

Answer:

12500 mm²

Step-by-step explanation:

The front face of the mode consista of both triangle and rectangle

Area of rectangle :

Height * Base

Height = 200 m ; Base = 50

Area = 200 m * 50 m = 10,000 mm²

Area of triangle :

1/2 * base * height

1/2 * 50 * (300 - 200)

1/2 * 50 * 100

= 2500 mm²

Area of front face = Area of rectangle + Area of triangle

Area of front face = (10,000 + 2500) m²

Area of front face = 12500 mm²

Solve algebraically the simultaneous equations
x^2– y^2 = 24
x= 3 + 2y
Write your two pairs of answers in this form:
when x =... y =...
When x=... y=...

Answers

Answer:

(5, 1) and (-5, -7)

Step-by-step explanation:

Given the simultaneous equations

x^2– y^2 = 24 .... 1

x= 3 + 2y .... 2

Substitute 2 into 1

(3-2y)^2-y^2 = 24

Expand

9 - 12y + 4y^2 - y^2 = 24

9 - 12y + 3y^2 = 24

3y^2 - 12y + 9-24 = 0

3y^2 -12y -15 = 0

y^2-4y-5 = 0

y^2+5y - y - 5 = 0

y(y+5) - 1 (y+5) = 0

y-1 = 0 and y+5 = 0

y = 1 and -5

Substitute the values of y into 2

Recall that x = 3+3y

when y = 1

x = 3 + 2(1)

x = 5

when x = -5

x = 3 + 2(-5)

x = 3 - 10

x = -7

Hence the solutions are (5, 1) and (-5, -7)

Combine the like terms to create an equivalent expression. 7n + 4n

Answers

Answer:

11n

Step-by-step explanation:

(6x - 5)(6x - 5)(6x - 5)(6x - 5)(6x - 5) = 0

Answers

Answer:

X=5/6

Step-by-step explanation:

(6X-5)^5=0

6X-5=0

6X=5

X=5/6

Solve the equation 7= -108 – 3.​

Answers

move 7 to the other side making it negative
-108-3-7 = -118

Answer:

s=-1

Step-by-step explanation:

A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

The . correct answer will be C

Step-by-step explanation:

2. Simplify 2x + 16 + 5x – 10​

Answers

Answer: 7x + 6

Step-by-step explanation:

Combine like terms:

(2x + 5x) + (16 - 10)

Answer:

soln

2x + 16 + 5x – 10

8(x+2) + 5(x + 2)

8+2 (x+2)

10 (x + 2 )

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