Mark monitors the growth of a colony of bacteria in his biology lab. He begins with a colony of 100 bacteria. After 24 hours, the colony has grown to 305

bacteria. After 24 more hours, the colony consists of 897 bacteria. What is a reasonable estimate of how many bacteria he can expect to count in the colony

when he returns 24 hours later?

Answers

Answer 1

Answer:

After next 24 hours, bacterial population would be [tex]1433[/tex]

Step-by-step explanation:

The initial bacterial count at time = 0  was [tex]100[/tex]

At [tex]= 24[/tex] hours, the bacterial count increased up to [tex]305[/tex]

At [tex]= 48[/tex] hours, the bacterial count increased up to [tex]897[/tex]

As we know that

[tex]P = P_0 * e^{rt}[/tex]

The growth rate of bacterial population is equal to

[tex]r = \frac{log\frac{P}{P_0} }{t}[/tex]

Substituting the above values we get -

[tex]r = \frac{log\frac{897}{305} }{24}\\r = 0. 0195[/tex]

Count of bacteria after next 24 hours

[tex]P = 897 * e^{ 0.0195 * 24)\\P = 1433[/tex]


Related Questions

9 1/4 - 3/4 =
6 4/9 - 3 11/12 =
3 11/15 - 1 5/6 =
4 5/14 - 3 17/21 ​

Answers

Answer:

8 1/2

2 19/36

1 9/10

23/42

Surface Area of 20,70,90 Will give brainliest to correct answer

Answers

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Please help me someone

Answers

Answer:

A

Step-by-step explanation:

PV(1+i)^n

2000(1+.015)^x

2000(1.015)^x

A

HELP HELP PLSSSSSSSSS

Answers

Answer:

9) c) 1

10) c) 215

Step-by-step explanation:

Step:1

Given that the expression

      [tex]\frac{31+r}{2} - \frac{9r-5}{4}[/tex]

Put r = 9

 =    [tex]\frac{31+9}{2} - \frac{9(9)-5}{4}[/tex]

 =  [tex]\frac{40}{2} -\frac{76}{4}[/tex]

=   20 - 19

=1

Step(ii):-

Given that

[tex]\frac{5(4r-16)}{5} +13(3r-12)[/tex]

Put r = 9

=  [tex]\frac{5(4(9)-16)}{5} +13(3(9)-12)[/tex]

=  20 + 13(15)

= 215

the worst carrier of contamination of food service is​

Answers

Answer:

Dirty unwashed hands

Step-by-step explanation:

Answer:

Clean hands and clean food

Step-by-step explanation:

jk

Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x

a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x

Answers

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Find the midpoint of segment AB if A(-3, 8) and B (-7, -6).

Answers

Answer: (-5,1)

Step-by-step explanation: that should be right

please help me if you can

Answers

Answer:

1) 160 2) 218.64

Step-by-step explanation:

v=lwh (length)×(width)×(height)÷3

1. 10× 6× 8= 480÷3

2. 10.6× 9.1× 6.8= 655.928 ÷ 3 =218.6426 (218.64)

The absolute value of -15 is -15 because -15 is 15 units to the left of zero

Answers

Answer: False

Step-by-step explanation: The absolute value of -15 is 15.

I need help with this question I would be grateful really

Answers

Answer:

B

Step-by-step explanation:

B

the vertex is (-5,-2) which eliminates A and C. D says that the x intercepts are both positive which is obviously incorrect making B the correct answer

Write the number that is five less than ten million.

Answers

Answer:

9,999,995

Step-by-step explanation:

PLEASE ANSWER ASAP


Maryam writes down the following 6 numbers
11, 11, 12, 18, 19, A

Maryam works out the mean of the 6 numbers, she then increases the value of a by 60
What will this do to the mean of the 6 numbers?

Answers

It will make it increase by a lot

Find the area of the composite figure.

Answers

Answer:

48

Step-by-step explanation:

4x2=8

4x3=12

12/2=6

How many triangles can be constructed with sides measuring 15 cm, 7 cm, and 5 cm?



more than one

none

one

Answers

Answer:

More than one

Step-by-step explanation:

Trust me, I know.

Answer:

none

Step-by-step explanation:

i have proof i just took the test

If Ira runs at the same rate, how many laps can they run in 20 minutes?

Answers

Answer:

it is roughly 15.3 laps (i rounded 1.6666666666667 to 1.7) i'll explain

Step-by-step explanation:

ratio of laps to minutes: 9:12,

20/12 = 1.6666666666667 rounded to 1.7

9 x 1.7 = 15.3

sorry that i had to round and that it is a little off, hoped i helped you tho

What is the rate of ira running

13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3

Answers

Step-by-step explanation:

f(g(x))

= f(4x)

= (4x) - 3. (A)

Step-by-step explanation:

option A is the correct answer according to my opinion .

plz mark my answer as brainlist if you find it useful.

3.3.PS-14
Question Help
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Jarrod earned $ in commission.
Enter your answer in the answer box and then click Check Answer.


Answers

Answer:

tis is not confirmed answer

Step-by-step explanation:

comiision: 112.5%

-4n = 16 plssssssssssssssssssss help

Answers

Answer:

n would be -4

Step-by-step explanation:

(two negatives multiplied together make a positive)

-4n = 16

/-4    /-4

n = -4

Please help!!!! I don’t understand how to figure it out

Answers

Answer:

(sin x)^2*(sec x) is positive in QII

Step-by-step explanation:

(sin x)^2 is always 0 or positive.  Here x lies in QII.

sec x is positive when the adjacent side is positive and negative when the adjacent side is negative.  In QII the adjacent side is positive.

In summary, (sin x)^2*(sec x) is positive in QII

John can read 12 1/2 pages in 25 minutes. At this same rate, how long would it take to read 1 page? How many pages could he expect to read in 1 minute

Answers

Answer:

divide 12 and 1/2 by 25 and can I get branliest

Step-by-step explanation:

Answer:

it would take him 2 minutes to read one page

He can read half a page in 1 minute

Step-by-step explanation:

Part 1

ratio time/pages

25/12.5=x/1

cross multiply

12.5x=25

x=2

ratio time/pages

25/12.5= 1/x

cross multiply

25x=12.5

x=0.5

can you help me with this​

Answers

Answer:

85

Step-by-step explanation:

180-(67+28)

180-95

85

please mark brainliest

Write a numerical expression to represent the phrase the quotient of 12 and the product of 4 and 5

Answers

Answer:

[tex]\frac{12}{4*5}[/tex]

Step-by-step explanation:

the quotient of 12 and the product of 4 and 5 can be written in mathematical form as:

12 / (4 * 5)   or [tex]\frac{12}{4*5}[/tex]

4[1 2 -1 5]
Someone help me with this bs

Answers

Answer:

-12

Step-by-step explanation:

12 - 15 = -3

4 ( -3 )

= -12

Answer: -12

Step-by-step explanation:

We have 4[12 -15]

Next, we have subtract in the parentheses since it's part of PEDMAS

12-15

After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.

12- 15= -3

And Lastly, we multiply.

4x -3= -12

Hope this helps!

The police use a speed gun to monitor one part of a highway. During one hour, 4 out of 25 cars were traveling above the speed limit. What percent of cars were traveling above the speed limit.

Answers

Answer: 16%

Step-by-step explanation: Because if you look at that denominator then you can see that its 25 so if you multiplied that by 4 then you'll get 100 which is 100% so whatever you do to the denominator you have to do to the numerator so 4x4 is 16 so thats 16% and there you go.

A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?

Answers

Answer:

[tex]\text{For topic A }:0.99\\\text{For Topic B}: 0.6875[/tex]

Step-by-step explanation:

Topic A: Two books are ordered

Topic B: Four books are ordered

Let X= number of books arrived

The probability that a book actually arrives in time is 0.9

i.e., p=0.9

For Topic A:

[tex]P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99[/tex]

For Topic B:

[tex]P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875[/tex]

Can anyone help complete this table?

Answers

(-5, 2) (0,1) (3,2/5) (5,0)

In the first quarter of 2010, U.S. advertisers spent $5.9 billion on online
advertising. In the first quarter of 2011, they spent $7.3 billion. What is the
percentage rate of growth? (Round to one percentage place.)

Answers

Answer:

$1.4 B per year

Step-by-step explanation:

1-Un balón de fútbol tiene un precio de $125 + IVA

1. ¿Cuánto es el IVA del balón?

A) 125 b) 200 c) 245

Answers

Answer:

b) 200

Step-by-step explanation:

The correct answer is b) 200

1) El IVA del balón es de $ 20.

2) El precio final del balón es $ 145.

1) El Impuesto al Valor Agregado (IVA) es un impuesto indirecto que se aplica sobre el precio de compra del artículo comprado, es decir, se trata de un impuesto indirecto al consumo.

El porcentaje por concepto del impuesto varía de país en país. No obstante, el valor más común en países hispanoparlantes se ubica en torno al 16 % del precio de compra del artículo.

El IVA del balón se determina mediante la siguiente operación aritmética:

[tex]\Delta C = 0.16\cdot (125)[/tex]

[tex]\Delta C = 20[/tex]

El IVA del balón es de $ 20.

2) El precio final del producto es la suma del precio de compra y el IVA, es decir:

[tex]C = 125 + 20[/tex]

[tex]C = 145[/tex]

El precio final del balón es $ 145.  

Para aprender más sobre impuestos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/24907444

Nota - El enunciado reporta numerosos errores tipográficos y está incompleto, el enunciado correcto y completo es el siguiente:

Un balón de fútbol tiene un precio de $ 125 + IVA.

1) ¿Cuánto es el IVA del balón? a) 20, b) 145, c) 325

2) ¿Cuál es el precio final con IVA del balón? a) 125, b) 200, c) 145

A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic

Answers

Answer:

y= 28x+8

Step-by-step explanation:

why every comment but don't ​

Answers

Answer:

thanks

Step-by-step explanation:

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