The growth of a sample of bacteria can be modeled by the function b(t) =100(1.06)^t where b is the number of bacteria and t is the time in hours. What is the number of total bacteria after 3 hours? Round to the nearest whole number.

Answers

Answer 1

Answer:

There are 119 bacteria after 3 hours.

Step-by-step explanation:

Let be [tex]b(t) = 100\cdot 1.06^{t}[/tex], where [tex]t[/tex] is the time, measured in hours, and [tex]b(t)[/tex] is the number of total bacteria, dimensionless. The number of total bacteria after 3 hours is found after evaluating the function at given function:

[tex]b (3) = 100\cdot 1.06^{3}[/tex]

[tex]b(3) = 119.102[/tex]

We rounded to the nearest preceeding whole number, since number of bacteria represents a discrete set. There are 119 bacteria after 3 hours.


Related Questions

Hanna lost 4 points on a test and earned 4 points on an extra-credit question​

Answers

Answer:

the total points earned and lose cancel eachother out to be 0. she did not lose any points

Answer:

the total points earned and lose cancel eachother out to be 0. she did not lose any points

Step-by-step explanation:

B^2 + 11b + 18 ( Factor the question)
Help please!

Answers

(x+2)(x+9)
................................

Answer:

=b^2+(9+2)b+18

=b^2+9b+2b+18

=b(b+9)+2(b+9)

=(b+9)(b+2)

It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480

Answers

Answer: 25p+45>= 8

Step-by-step explanation:

The sweet shoppe sells a half dozen cupcake for $16.50. The cupcake factory sells a dozen cupcake for $30.00. Jameska purchases two cupcake from each shop what is the different in the purchases

Answers

Answer:

1.50 is the answer

Step-by-step explanation:

yeah I had it on a question yw

Answer:

eggffdf

Step-by-step explanation:

sfdsffgfddfdkkhsdghskjgfhjgdfjhdgdhdsdfh

Its late and i need this pls









Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.


The volume is ___in^3

Answers

Answer:

184.2 in^3

Step-by-step explanation:

vol of cone=

[tex]\pi {r}^{2} \frac{h}{3} [/tex]

[tex]3.14 \times 16 \times \frac{11}{3} [/tex]

=184.2

For this question What is 4f-9-f+15

Answers

Answer:

3f+6

Step-by-step explanation:

To solve this, we combine like terms which are in this case 4f and f.  4f-9-f+15 is (4f-f)+(-9+15), which we simplify to 3f+6.

find the first 3 powers of 7

Answers

Answer:

7, 49, 343

Step-by-step explanation:

Just do it

Your new car drives 220 miles on 8 gallons of gas,
The car's MPG is

Will mark brainliest Simone please help

Answers

Answer:27.5

hope it helped can I have brainliest?

Step-by-step explanation:

Tessa measured an apartment and made a scale drawing. She used the scale 7 millimeters = 3 meters. What is the scale factor of the drawing? Simplify your answer and write it as a ratio, using a colon.

Answers

Answer:

7mm : 3000 mm ; 1 : 428 4/7

Step-by-step explanation:

Given that :

Given a drawing produced using a scale :

7 millimeters = 3 meters ; the scale factor for the drawing

Comparing units in millimeter and units on meter

1000 mm = 1 meter

Hence,

3000 mm = 3 meter

Then, we can say;

7 millimeters = 3000 millimeters

7mm : 3000 mm

Divide through by 7

1 : 428 4/7


y< 4x – 1
y>-8x + 5

Answers

Answer:

m=4

m: 8

Step-by-step explanation:

Simplify the following expression.
(4x2 + 8x + 15) + (x2 - x - 27) - (x + 5)(x - 7)
What’s the answer?

Answers

Answer:

4x^2+19x-47

Step-by-step explanation:

(4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)

=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35

=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)

= 4x^2+19x-47

Hope this helps!

The given expression after simplifying 4x^2+19x-47.

We have given the following expression

[tex](4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)[/tex]

What is the expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

[tex]=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35[/tex]

[tex]=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)[/tex]

[tex]= 4x^2+19x-47[/tex]

The given expression after simplifying 4x^2+19x-47.

To learn more about the expression visit:

https://brainly.com/question/723406

#SPJ2

find the sum of 2x ÷ x-1 and x÷x-1​

Answers

Answer with step-by-step explanation:

First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.

2x ÷ x - 1 = 1

Same thing: x/x = 1. Subtract 1 from 1, which is 0.

x ÷ x - 1 = 0

1 + 0 = 1

Hope this helped!

Write the following as an inequality. 9 is greater than x, and 3 is less than x Use x only once in your inequality. also please understand that two people need to answer the question for me to give brainiest, and yes once two people answer I will choose brainliest for whoever is correct

Answers

Answer:

9>x>3

Step-by-step explanation:

the open side always faces the greater value

PLEASE HELP I AM STUCK


12,049=-58,642+y

Answers

Answer:

70,691

Step-by-step explanation:

4,378 divided by 15help

Answers

Answer:

291

Step-by-step explanation:

Answer:291.87

Step-by-step explanation:

A newspaper is launching a new advertising campaign in order to increase the number of daily subscribers. The newspaper currently ​(t​0) has​ 26,000 daily subscribers and management expects that​ number, S(t), to grow at the rate of subscribers per​ day, where t is the number of days since the campaign began. How long​ (to the nearest​ day) should the campaign last if the newspaper wants the number of daily subscribers to grow to​ 49,000?

Answers

Answer:

57 days

Step-by-step explanation:

Given that:

t(0) = 26000

Growth rate (S'(t)) = 80t^1/2

Targeted number of subscribers = 49000

Take the integral of the growth rate :

∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C

[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C

(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C

(160/3)t^3/2 + C

Let C = t(0)

(160/3)t^3/2 + 26000 = 49000

(160/3)t^3/2 = 49000 - 26000

(160/3)t^3/2 = 23000

Multiply both sides by 3/160

t^3/2 = 23000* 3/160

t^3/2 = 69000/160

t^3/2 = 431.25

t^(3/2 * 2/3) = 431.25^2/3

t = 57.080277

t = 57 days (approx.)

I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE

Answers

so

y=9 -> y=18

       *2

x=8 -> x=16

       *2

so x = 16

Answer:

the only logical way solving this question is:

if y=9 then x=8

if y=18 then x should be 16

Step-by-step explanation:

I cant find any other way to solve

discrimination from teachers to students

Answers

Answer:

agree

Step-by-step explanation:

What is the question

What is the coefficient of determination for this data set?

Answers

Answer:

0.91

explanation:

What is -9.5-(-8)-6.5 show your work step-by-step.

Answers

Answer:

-8

Step-by-step explanation:

-9.5-(-8)-6.5  There are two negatives next to each other, so it's a positive.

-9.5+8-6.5     We want to use the order of operations, so first we can add.

-9.5+8=-1.5     The problem now looks like...

-1.5-6.5           Finally, just subtract.

-8                     8 is your answer!!

I hope this helped you...have a wonderful day c:

If RX = 4 and XS = 9, then XT =

Answers

RX is + XS is the hypotenuse of the right triangle RTS, then:

(RX + XS)^2 = (RT)^2 + (ST)^2

=> (4+9)^2 = (RT)^2 + (ST)^2

=> 13^2 = (RT)^2 + (ST)^2 .....equation (1)

Triangle RTX and XST are also right triangles.

RT is the hypotenuse of RTX and ST is the hypotenuse os SXT.

Then, (RT)^2 - (RX)2 = (TX)^2 and (ST)^2 - (SX)^2 = (TX)^2

=> (RT)^2 - (RX)^2 = (ST)^2 - (SX)^2

=> (RT)^2 - (ST)^2 = (RX)^2 -(SX)^2

=> (RT)^2 - (ST)^2 = 4^2 - 9^2 = 16 - 81 = - 65

=> (ST)^2 - (RT)^2 = 65 ..........equation (2)

Now use equations (1) and (2)

13^2 = (RT)^2 + (ST)^2

65 = (ST)^2 - (RT)^2

Add the two equations:

13^2 + 65 = 2(ST)^2

2(ST)^2 =178

(ST)^2 = 234/2 = 117

Now use (ST)^2 - (SX)^2 = (TX)^2

=> (TX)^2 = 117 - 81 = 36

=> (TX) = √36 = 6

Xis normally distributed with mean 1,000 and standard deviation 250. What is the probability that X lies between 800 and 1, 100?

Answers

Answer:

0.4435

Step-by-step explanation:

Given that :

X is normally distributed:

mean(m) = 1,000

standard deviation (s) = 250

probability that X lies between 800 and 1,100?

Using the relation :

X = 800

Zscore = (x - m) / s

Zscore = (800 - 1000) / 250

Zscore = - 200 / 250

Zscore = - 0.8

P(Z ≤ - 0.8) = 0.2119

X = 1100

Zscore = (x - m) / s

Zscore = (1100 - 1000) / 250

Zscore = 100 / 250

Zscore = 0.4

P(Z ≤ 0.4) = 0.6554

P(Z ≤ 0.4) - P(Z ≤ - 0.8)

0.6554 - 0.2119

= 0.4435

help please giving branliest

Answers

Answer:

C) 53°

Step-by-step explanation:

We know that <3 and <4 are equal, so we can solve for y.

3y+7=5y-73

7+73=5y-3y

80=2y

y=40

Now plug that in to <3

3y+7=3(40)+7=127

We know that <3 and <2 equal 180.

180-127=53

So <2=53°

C . 53 degrees. sorry if i’m wrong

When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.

Answers

Answer:

2

Step-by-step explanation:

this will help i think this will be the answer i am not sure

andre has x dollars. He buys lunch using 1/6 of his money and earns 8$ by doing chores after school

Answers

The answer is A. 1/6x+8. His money is shows as X dollars. If he uses 1/6 of X dollars, it is simply 1/6 times x (1/6x). And then after he uses 1/6x, he gains 8. So, it is simply 1/6x + 8, choice A.

2)If a $100 deposit is made at a bank that pays 12% per year, compounded annually, determine how long it will take for the investment to reach $2000.

Answers

Answer:

It will take 26.4 years for investment to reach $2000

Step-by-step explanation:

2000=100(1+.12)^x

20=1.12^x

㏒_{20} 1.12=x

log 1.12/ log 20=x

x= 26.434

The number of years that should be taken for reaching $2,000 is 26.40 years.

Given that,

The deposit made at the bank is $100.The interest rate per year is 12%.And, the reaching amount is $2,000.

Based on the above information, the calculation is as follows:

[tex]2000=100(1+.12)^x\\\\20 = 1.12^x[/tex]

Now apply log to both sides

[tex]\frac{log1.12}{log20} = x[/tex]

x = 26.4 years

Therefore we can conclude that the number of years that should be taken for reaching $2,000 is 26.40 years.

Learn more: brainly.com/question/13324776

Solve for x,

40x-5 = 115​

Answers

Answer:

x=3

Step-by-step explanation:

1. Add 5 to both sides --> 40x=120

2. Divide 40 from both sides

3. x=3

22-3(4)
How do I answer this question?

Answers

Answer:

76

Step-by-step explanation:

22-3=19

19x4=76

I’m not sure earthier but I thing you would do
22-3= 19
19 * 4= 76
I hope this helps! It’s my first time giving an answer

Find the rate of increase:
Original amount: $2000
Final amount: $3000

Answers

Answer:

21

Step-by-step explanation:

Answer:

67%

Step-by-step explanation:

the original amount had to increase by 67% in order to equal the final about simply by dividing 2000 by 3000 getting 2/3 which is 0.666667 then multiplying by 100 to get a rate

Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart.

Answers

Answer:

Step-by-step explanation:

The sequence is nor properly written. This is correct sequence

49, 36, 25, 16, 9, 4, 1...

Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.

The values of the sequence are all perfect squares.

Rewriting the sequence;

7², 6², 5², 4², 3², 2², 1²...

Now we can see that the base values for an arithmetic sequence as shown:

7, 6, 5, 4, 3, 2, 1...

We find the common difference of this sequence as shown

d = T2-T1 = T3-T2 = T4-T3

Given T1 = 7, T2 = 6, T3 = 5, T4 = 4

Substitute

d = 6-7 = 5-6 = 4-5 = -1

d = -1

Get the nth term using the sequence

Tn = a+(n-1)d

a is the first term

d is the common difference

n is number of terms

Tn = 7+(n-1)(-1)

Tn = 7+(-n+1)

Tn = 7+1-n

Tn = 8-n

Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;

Tn = (8-n)²

To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.

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