The number of bacteria can be represented by the equation A(t)=200(.75)^t, wherr A(t) is the amount of bacteria in grams and t is the number of days. a. Is this function growth or decay? b. What percent is the bacteria decreasing by each day? c. How many grams of bacteria will there be in 1 week? d. After how many days will there be half the initial amount of bacteria left?

Answers

Answer 1

Answer:

Step-by-step explanation:

a. This is a decay function, since the final value (A) gets smaller and smaller as the days pass by.

b. The bacteria is decreasing by 75% per day exponentially.

c. In order to calculate the amount of bacteria in a week we simply substitute the variable t for 7 (7 days in a week) and solve for A

A = 200(0.75)^7

A = 26.7 bacteria after 1 week

d. In order to calculate this we need to substitute the variable A with 100 and solve for t

100 = 200(0.75)^t   ... divide both side by 200

0.5 = 0.75^t

[tex]\frac{ln(0.5)}{ln(0.75)}[/tex] = t

2.4 = t

It will be half the initial amount after 2.4 days.


Related Questions

A new espresso coffee maker is being used at the coffee shop where you work. It heats water to 122°F in a matter of seconds. What is the equivalent
Celsius reading of this temperature?

Answers

Answer:

50°C

Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

Mr. Holmes is buying mulch for his triangular-shaped garden shown below. The mulch he is purchasing costs $3.75 per bag. If each bag covers 18 square feet, how much will it cost him?

Answers

Answer:

Step-by-step explanation: 76

plz help which one has a total of 40 square units

Answers

Answer:

The First One

Step-by-step explanation:

Because its dimensions are 5 by 8

At the grocery store, Henry bought c pounds of cashews for $4.99 per pound. If he buys 2 pounds, how much will they cost?

Answers

The “c” pounds is a bit off putting if he only bought a pound. 2 pounds of Cashews would cost $9.98

The cost of 2 pounds of cashews will be;

⇒ $9.98

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

At the grocery store,

Henry bought c pounds of cashews for $4.99 per pound.

Now,

Since, Henry bought c pounds of cashews for $4.99 per pound.

Hence, The cost of 1 pound of cashews = $4.99

So, The cost of 2 pounds of cashews = 2 × $4.99

                                                          = $9.98

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4 divided by 1/2 show your work

Answers

Answer:

8

Step-by-step explanation: frst 1/2=0.5

4/0.5=8

Answer:

4 divided by 1/2 is equal to 8

Step-by-step explanation:

basically do 4*2 and you will get your answer

or you should know that 1/2=0.5

so how many 0.5 are in 4, 2 0.5's are in 1 so you have to do 2*4

hope this helped, can i please get brainiest

Solve for m:
598 + 15.75m < 850

Answers

Answer:

m < 16

Step-by-step explanation:

598 + 15.75m < 850

15.75m < 850 - 598

15.75m < 252

m < 16

more than 1 correct answer, help!

Answers

Answer:

Select 1, 4 and 5

The slope is -1/10

The x intercept is 100

The y intercept shows the initial amount on the card in dollars

28.4 grams = ? ounces

Answers

1 ounce I think.............

Please help best gets brainlist and 5/5 and show work please

Answers

The answer is 12ft

Volume = (base area)(height)
900 = (75)(x)

So to figure out x you’ll need to divide 900 by 75 to get 12

Hope this helps!

Abe makes $18.50 per hour. He works 40 hours a week. He is considering renting an apartment that will cost $1,500 per month. What is the difference between his recommended rent amount and the cost of this apartment (round to the nearest dollar)?

Answers

Answer:

os(390)   sin(330)   csc(60)

Step-by-step explanation:

find the area of this figure.

Answers

Answer:

it is 285 ...cause you should multiply 15 by 17 and add 19 and 11 .. it is 285


What is the radius of these cylinders?

Answers

Answer:

sorryyyyy i really dont know

Richard saves money by investing 5% of his salary in his individual retirement account. Which of the following best describes how his investment will grow over the next 30 years?

⊝ His investment will most likely be worth very little more than he invested in deposits over the 30 years.


⊝ His investment will most likely be worth exactly what he deposited over the 30 years.


⊝ His investment will most likely be worth a lot more than he invested in deposits over the 30 years.


⊝ His investment will most likely be worth less than he invested in deposits over the 30 years.

Answers

answer:

Answer is c this was difficult

A group of friends were working on a student film. They spent all their budget on equipment and costumes. They spent $737 on equipment, and 33% of the total budget on costumes. What was the total budget for their student film?

Answers

Answer:

Budget= $1,100

Step-by-step explanation:

Giving the following information:

They spent $737 on equipment and 33% of the total budget on costumes.

If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).

Then, to calculate the total budget, we need to use the following formula:

Budget= 737 / 0.67

Budget= $1,100

4x - 35 = 234

Solve for 'x'.

Answers

Answer:

X= 67.25

Step-by-step explanation:

4x-35=234

Add 35 to both sides

4x= 269

Divide both sides by 4

X= 67.25

Answer:

x = 67,25

Step-by-step explanation:

Here it is given that,

x is an unknown to know. Since we are intelligent students, we will bring the unknowns to the left limb, and the numbers known in the right limb.

[tex]\:[/tex]

We can write this matematically as,

[tex]\rightarrow 4x - 35 =234[/tex]

Move the constant to the right,

[tex]\rightarrow 4x =234 + 35[/tex]

Add the numbers,

[tex]\rightarrow 4x =269[/tex]

Divide both sides of the equation by 4,

[tex]\rightarrow x =\frac{269}{4}[/tex]

We determine the value of x,

[tex]\rightarrow \underline {x=67,25}[/tex]

I need help please help me

Answers

Answer:

1: 11/14 2: 1 5/12 3: 1 1/20 4: 7/10 5: 3/4 6: 1 2/9 7: 1 8: 1/8 9: 3/5 10: 23/24

Find h.(Type your answer in simplest radical form)

Answers

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

Using the geometric mean rules for this geometry, we have ...

  h = √(4·32) = 8√2

and also ...

  a = √(4·36) = 12

  b = √(32·36) = 24√2

For the problem at hand, ...

  h = 8√2 = x√y   ⇒   x = 8, y = 2

What is the square root of my juicy as.s


A.1000000000000
B.10
C.1
D.1000000000000000000000000000000000000000000000000000000

Answers

Answer:

Hi! The answer to your question is C. 1 But im pretty sure to have a square root...you have to have a square butt..

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!

- Brooklynn Deka

Answer:

The answer is E.) 0

Step-by-step explanation:

Please, touch some grass.

The ratio table shows the costs for different amounts of bird seed. Find the unit rate in dollars per pound. The unit rate is $ per pound​

Answers

Answer: The rate is $1.25 per pound.

Step-by-step explanation:

WILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

3rd Option

Step-by-step explanation:

Answer: The answer is C (the Third choice)

Step-by-step explanation:

if comlementary angles are adjacent they form a :

i will give 34 points

fast fast

Answers

Answer:

they would make a staright line or straight angle, which would be 180 degrees.

Brainliest?

Step-by-step explanation:

The theoretical probability of spinning a 9 is_?

Answers

Answer:

The theoretical probability of spinning a sum of 9 is 4/36 or 1/9.

Step-by-step explanation:

Answer: 0%

Step-by-step explanation:

Solve please. 20 points.

Answers

Answer:

336 cm^2

Step-by-step explanation:

Well theres not exactly a formula, I jsut solve the 3 faces and then double it all since 2 are the same for each except for 1 so the first side is the 10X12 one. that would give you 60 and then you double that and get 120 since 2 same faces.

The next one the 6X13  one is just a sideways rectangle, a=lw and that would be 78. Two faces same side double 78 and get 156.

Now the final side is the bottom which is jsut 10X6. a=lw and that would eqaul 60. No need to double since thats the only side that doesn’t have a duplicate. Add all your result up and you would get

336 cm^2

Help ASAP I’ll mark you as brainlister

Answers

The length of an arc AB from the given circle with radius 6in is 15.7in

Length of an arc

The formula for calculating the length of an arc is expressed as:

L = r theta

where

r is the radius = 6in

theta is the central angle = 150 degrees = 5/6π rad

Substitute

L = 6(5/6π)

L = 5π

L = 5(3.14)

L = 15.7in

Hence the length of an arc AB from the given circle with radius 6in is 15.7in

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(5x-14)=51 how do I find x

Answers

Answer:

simply add

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5x - 14) = 51

expand

5x - 14 = 51

group liked terms

5x = 51 +14

5x = 65

divide through by 5

5x÷5 = 65÷5

x= 13

3) The start-up cost to join Tunes is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded​

Answers

Answer:

X = 19 songs

Step-by-step explanation:

Y = 0.95x + 7.95

26 = 0.95x + 7.95

Solve for x

26-7.95 =0.95x

18.05/0.95 = x

X = 19 songs

The PS4 cost $650 when it first came out. Two years later it was only worth $250. By what percentage did the price decrease?

Answers

Answer:

It decreased by 61.5%

Step-by-step explanation:

The equation of a function changed from y=x+6 to y = -x+6which statement best describes the change in the graph of the function

Answers

Answer:

6+

Step-by-step explanation:

enter the decimal equivalent of 11/8

Answers

Answer:

1.375

Step-by-step explanation:

Answer:

1.375 would be the answer because if you turn 3/8 into a decimal it = 0.375 so you add the 1 + 0.375 = 1.375 total

Step-by-step explanation:

What is the answer for x?

Answers

Answer:

x = 7°

Step-by-step explanation:

Sum of All angles = 180°

Form an equation

180 - 90 - 36 = 7x + 5

54 = 7x + 5

Subtract 5 from both sides

49 = 7x

x = 49/7

x = 7

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