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

15 chocolate were distributed between raju and sanju in the ratio 2:3 . How many chocolates did raju receive?​

Answers

Answer:

6chocolates

Step-by-step explanation:

Given

The total number of chocolate = 15chocolates

If it is divide into ratio 2:3

total ratio = 2+3

Total ratio = 5

Number of chocolate raju receives = 2/5 * 15

Number of chocolate raju receives = 2 * 3

Number of chocolate raju receives = 6chocolates

The number of chocolates that Raju received are; 6 chocolates

Proportion

We are told that;

Number of chocolates distributed = 15

Ratio of sharing between Raju and sanju = 2:3

Thus, fraction to be received by both of them are;

For Raju = 2/(2 + 3) = 2/5For Sanju = 3/(2 + 3) = 3/5

Thus;

Amount of chocolates for Rajus = 2/5 × 15 = 6

In conclusion, Raju received 6 chocolates.

Read more about proportion at; https://brainly.com/question/1781657

Pls helpppppp



Ann’s mom is putting up border on the walls of Ann’s room. Her room is 14 feet long and 8 feet wide. How much border will be needed to go all the way around the room?

Answers

Answer:

112 square feet

Step-by-step explanation:

14 x 8 = 112

Answer:

112 feet

Step-by-step explanation:

l x w

I need your help asap please​

Answers

Answer:

Yes they are in proportion because after being divided, they are equal.

Step-by-step explanation:

15 : 60 =

1 : 4

40 : 160

1 : 4

Answer:

Yes

Step-by-step explanation:

Calculate 60/15=4

160/40=4,

so the proportion is same.

Part B Point S is located at 5/4 on the number line. A student claims that the location of point S is to the right of the location of point P on the number line. *Explain whether the students claim is correct or in correct. *Write an equality that describes the relationship between the value of point P and the value of point S.

Answers

Number line can be found in the picture attached below

Answer:

The claim is incorrect ; Point S will be located to the left of Point P

2.5 > 1.25

Step-by-step explanation:

Location of point S = 5/4 = 1 1/4 = 1.25

From the number line ; location of point P = 2.5

Point S is lesser than P, therefore, point S would be located to the left of point P on the number line.

Inequality that describes the relationship between the value of point P and point S ;

Point P = 2.5 ; Point S = 1.25

Point P > Point S

2.5 > 1.25

Personal Finance
The Social Security tax is 6.2% and the Medicare tax is 1.45% of your annual income. How
much would you pay per year to FICA if your annual earnings were $47,000?

Answers

9514 1404 393

Answer:

  $3,595.50

Step-by-step explanation:

FICA is the sum of Social Security and Medicare taxes.

  7.65% × $47,000 = $3,595.50

On earnings of $47,000, you would pay $3,595.50 to FICA.

A printer makes more than 3 copies of a book every hour. How many books can the printer make in 4 hours?

Answers

Answer:

12

Step-by-step explanation:

4 x 3 is 12

12 minimum since you said it can make more

Please help, i dont understand this

Answers

Answer:

lgma

Step-by-step explanation:

Use the volume formula to find the volume of the prism.
2
FIN
PLS HELP DUE TODAY!!!!

Answers

Answer:

25

Step-by-step explanation:

Volume = (Area of the base)(height)

So area of base is width*length = 5/2*4=10=> multiply AoB*height 10*5/2=25

25 is your answer i believe

what is the value of d?

Answers

Answer:

Explanation: you know that a straight line is 180° so
180° - 107° = 73° (this is b)
you also know that a triangle is 180° so after that all you have to do is
180° - 73° - 45° = 62° (this is d)

Hope this helped! :)

-9 x 2 1/2 What is the value of the expression

Answers

Answer:

i think its -22.5

Step-by-step explanation:

i just multiplied -9 x 2 1/2 and got -22.5

4) Han's cell phone plan costs $95 to start. Then there is a $55 charge each month.
a. What is the total cost (startup fee and monthly charge) to use the cell phone plan for 1
month?
b. Is there a proportional relationship between time and the cost of the cell phone plan?
Explain how you know.
c. What is the total cost for x months? (Write an equation for the situation.)(help ASAP pleassseeee)

Answers

Step-by-step explanation:

a. What is the total cost (startup fee and monthly charge) to use the cell phone plan for 1 month?

answer for a: $95 + $55 = $150

b. Is there a proportional relationship between time and the cost of the cell phone plan?

answer for b: There is a proportional relationship between time and the cost of the cell phone plan because each month of time that passes, your phone will be charged $55. We know this because every month of Han's cell phone plan costs $55.  

c. What is the total cost for x months? (Write an equation for the situation.)

answer for c: 95 + 55x = y

Proof! Help please *no links*

Answers

I always get links to and a

The zookeeper find the lions in the zoo daily during the week the line graph shows the amount of meat in kilograms fair to the liens on each day of the week find the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday

The changes is is the same amount of meat from Thursday to Friday is ___
Kilograms of meat

Answers

The rate of change  is the same amount of meat from Thursday to Friday is 14 Kilograms of meat

Here, the line graph shows the amount of meat in kilograms fed to the lions on each day of the week.

From the line graph the amount of meat fed to the lines on Thursday is 58 kilograms

And the amount of meat fed to the lines on Thursday is 72 kilograms

Let x represents the rate of change in the amount of meat from Thursday to Friday.

So, the value of x would be,

x = 72 - 58

x = 14 kilograms

Thus, the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday = 14 kilograms

Learn more about the rate of change here:

https://brainly.com/question/29067103

#SPJ1

Please help me this is due tomorrow and I don’t know what to do

Answers

Answer:

180-80=100

100-38=62

MJL=62

angle(m)=80

Answer:

<MJL = 62°

<m = 80°

x = 4

Step-by-step explanation:

in ∆JKL total angle aum is 180° and to find <L we have to subtract the given angles in this triangle from 180

that is

<L = 180-80-38 = 62°

then <MJL = 62° (alternative interior angle)

<JLM= 38° (alternative interior angle)

then <m = 180-62-38 = 80°

6x = 24 ( opposite sides are equal in parallelogram)

x= 24/6

x = 4

Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it is a lilly

Answers

Answer:

33.3%

Step-by-step explanation:

If all of them are equal out of 100%

that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3

The triangles shown are similar. Which side of triangle PQR corresponds to side LN in triangle MNL? Triangle L N P. Side L N is 12, N M is 10, M L is 14. Triangle P R Q. Side P R is 28, R Q is 24, Q P is 20. RQ PQ PR LM

Answers

Answer:

LN corresponds to RQ

Step-by-step explanation:

If we look at the diagram we find that LN corresponds to RQ, MN corresponds to QP and ML corresponds to PR .

The both triangles are similar as PQR is 2 times of MNL .

Therefore

PQR= 2MNL

PR= 2ML

28= 2(14)

QP= 2MN

20 = 2(10)

RQ =2 LN

24= 2(12)

Answer:

RQ

Step-by-step explanation:

keep it simple, also i just did get it right only quiz just now. You can believe me :D

I got 100 percent on my quiz!

If u have 2 games then went to game stop and bought nba2k21, UFC4, Cyber punk 2027, and Avengers, then go back home and got on your game and then went to the playstation app and bought the same games that you just had got from game stop, how many games would have now?

Answers

Answer:

You would have 20 games in total.

Step-by-step explanation:

Mark me Brainliest?

right trapezoid has two equal sides true or false

Answers

Answer:

True

Step-by-step explanation:

PLZ HELPPP MEEEE
Combine the radicals

Answers

Answer:

C) [tex]17\sqrt{13}[/tex]

Step-by-step explanation:

[tex]-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}[/tex]

******WORTH 85 POINTS******WILL MARK BRAINLIEST*****PLEASE ANSWER ALL QUESTIONS****
A catering company is setting up tables for a big event that will host 360 people. When they set up the tables they need 2 forks for each

child and 5 forks for each adult. The company ordered a total of 1470 forks. Set up a system of equations involving the number of adults,

a, and the number of children, c, and solve to find out how many of each attended the event.



A) Create an equation to represent the breakdown of people attending this event (children and adults).

B) Create an equation to model the number of forks used at this event.

C) Solve the system you created and write down the number of Children and Adults that attended.

Answers

180 c

70 a

360 divided by 2 = 180 c

360 divided by 5 = 70 a

These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth. erimeter = 20m Area = 19.6m ^ 2 rimeter = 34m Area=[ ? ] m^ 2

Answers

Answer:

Area of big diagram = 33.32 m²

Step-by-step explanation:

Given:

Both given diagram is similar

Perimeter of small diagram = 20 m

Area of small diagram = 19.6 m²

Perimeter of big diagram = 34 m

Find:

Area of big diagram

Computation:

Both given diagram is similar So,

Perimeter of small diagram / Area of small diagram = Perimeter of big diagram / Area of big diagram

20 / 19.6 = 34 / Area of big diagram

Area of big diagram = [19.6/20][34]

Area of big diagram = 33.32 m²

Answer:

56.6

Step-by-step explanation:

this equation (34/20)^2 * 19.6 = 56.644

Which compound inequality is represented by the graph?
-5 -4 -3 -2 -1 0
1
2
3
4.
5
-2 -25 X < 4
X<-2 or x 24
XS-2 or x> 4


Side note: I accidentally clicked that answer I don’t know if it’s right or not

Answers

Given:

The graph of a compound inequality is given.

To find:

The compound inequality.

Solution:

From the given graph it is clear that an arrow approaches towards left from [tex]x=-2[/tex] and there is an open circle at [tex]x=-2[/tex].

It means all the values less than [tex]-2[/tex] are included in the solution set but [tex]x=-2[/tex]  is not included.

[tex]x<-2[/tex]                  ...(i)

An arrow approaches towards right from [tex]x=4[/tex] and there is a closed circle at [tex]x=4[/tex].

It means all the values greater than of equal to 4 are included in the solution set and [tex]x=4[/tex] is also included.

[tex]x\geq 4[/tex]     ...(ii)

Using (i) and (ii), we get the compound inequality.

[tex]x<-2[/tex] or [tex]x\geq 4[/tex]

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

2) If there was a discount of 20%, what is the final deconstructed
percent? *
A.0.8%
B.120%
C.20%
D.80%

Answers

Answer:

Step-by-step explanation:

Question is in picture
I NEED THIS ANSWER FAST PLZ!!!

Answers

Answer:

64 is your answer

Step-by-step explanation:

In a game, Ben’s score was 3 times Sam’s score. Together they scored 80 points. Find their scores.

Answers

Answer:

Ben score -60

Sam score -20

Step-by-step explanation:

let Sam score be X

let Ben score be 3x

X+3x =80

4x =80

X=80/4

X =20 ........Sam score

Ben score=3x

=3 ×20

=60

which are the correct answer? need help

Answers

Answer:

1D 2B 3A

Step-by-step explanation:

answer: 1 D 2 B 3 A

Step by step explanation:

Help me please with this fast!

Answers

Answer:

63°

Step-by-step explanation:

The line = 180

so 180-117

= 63°

Answer:

The value of a is 63°

Step-by-step explanation:

180-117=63°.

PLEASE HELP ME ASAP I AM BEGGING YOU. NO SPAM ANSWERS. Find the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square. ONLY FIND THE PERIMITER PLZ​
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JUST THE PERIMETER PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Can you make a different question with an image attached?

We need the picture to see the shaded regions

No links, downloads, or anything of the sort. I will give brainliest!!!
What is 27 1/2% as a fraction in simplest form?
A. 11/55

B. 11/20

C. 55/100

D. 11/40

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D: 11/40 is correct

Sorry I didn't answer before, the scammer guy got to it before me. Have a great day!

can someone please help with parts a, b, and c (picture included)

Answers

Answer:

Step-by-step explanation:

1 soulotion one soulotion info soulotion no solution

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