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

I need help *********

Answers

Answer:

a

Step-by-step explanation:

bc x 2 is 10× 10

so x is 10

I hope this helped

x=10

Take the root of both sides and slove




















Between 10 P.M. and 7:45 A.M.​, the water level in a swimming pool decreased by 3/8 inches . Assuming that the water level decreased at a constant​ rate, how much did the water level drop each​ hour?

Answers

Answer:

0.03846154... inches/hour

Step-by-step explanation:

between 10 P.M. and 7:45 A.M. = 9.75 hours

(3/8) inches / 9.75 hours = 0.03846154... inches per hour

EDIT: in fraction form

Answer:

1/26 inches/hour

Step-by-step explanation:

between 10 P.M. and 7:45 A.M. = 9 and 3/4 hours, or 39/4 hours

(3/8) inches / (39/4) hours = 1/26 inches per hour

List three decimal values between 2.5 and 2.6

Answers

Answer:

2.55     2.56    2.57

Step-by-step explanation:

Answer:

2.51, 2.52, 2.59

Step-by-step explanation:

Ay yo whats good bro

write z=1-3i in exponential form ​

Answers

Answer:

z=re ^iθ =2e ^i 3/π

Step-by-step explanation:

hope this helps

Please help with this and don't put the wrong answer please. 30 points.

Answers

Answer:

The answer is A

Step-by-step explanation:

Paige has 9/8 of a yard of blue thread. She only needs 3/4 of a yard of blue thread to embroider a shirt. How much thread will be left over?
A. 3/8 of a yard
B. 3/16 of a yard
C. 28/35 of a yard
D. 3/4 of a yard

Answers

A. 3/8 of a yard. It is correct

In a certain year, a magnitude 7.8 earthquake struck California. In another year, a magnitude 5.8 quake struck Kansas. How many times as intense as the Kansas quake was the California quake?

Answers

Answer:

The California quake was 1.34 times as intense as the Kansas quake.

Step-by-step explanation:

To find how many times as intense as Kansas (K) quake was the California (C) quake first, we need to find the ratio of intensity (I) between those earthquakes:

[tex] \frac{I_{C}}{I_{K}} = \frac{7.8}{5.8} = 1.34 [/tex]

Now, by multiplying the above number for the intensity of the Kansas quake we should have the intensity of the California quake:

[tex] I_{K} = 1.34*5.8 = 7.8 [/tex]

Therefore, the California quake was 1.34 times as intense as the Kansas quake.

I hope it helps you!                            

Please help ASAP Explanation is appreciated!

Answers

Answer:

x=20, y=100

Step-by-step explanation:

3x+2x=7x-40

5x=7x-40

2x=40

x=20

7x-40=y

140-40=y

100=y

y=100

According to the exterior angle theorem, the two remote interior angles are equal to the exterior angle. This is why we set 3x+2x equal to 7x-40.

According to the vertical angles theorem, two angles that are opposite and formed by two intersecting straight lines are equal. This is why we set 7x-40 equal to y.

Because we already knew that x was 20, we could put it into our equation. (7*20)-40=y.

Hope this helped! :D

Identify the function shown in this graph. lol I need help

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

It's hard to explain in txt lol

HELP PLEASE ! Write an equation of a line that passes through the point (4, 3) and is perpendicular to the graph of the equation y= -1/3x+4

Answers

Answer:

y = 3x - 9

Step-by-step explanation:

✔️Find the slope of the line perpendicular to the given graph of equation:

A line that is perpendicular to the graph of the equation y = -⅓x + 4, will have a slope value that is the negative reciprocal of the slope of the graph of the given equation.

The slope of y = -⅓x + 4 is -⅓.

Negative reciprocal of -⅓ = 3

Slope of the line (m) = 3

✔️Find the y-intercept (b):

Substitute (x, y) = (4, 3) and m = 3 into y = mx + b

3 = 3(4) + b

3 = 12 + b

3 - 12 = b

-9 = b

b = -9

✔️Write the equation:

Substitute m = 3 and b = -9 into y = mx + b

y = 3x + (-9)

y = 3x - 9

I need help with this geometry question

Answers

Step-by-step explanation:

m<2= 180-90-41= 49°

m<4=90°

m<5=41

m<9=36°

eight less than six times time a number is 56

Answers

Answer:

6 x X = 56 - 8

Step-by-step explanation:

X is a variable btw

need help for geoooooooooo

Answers

Solution with steps :

Given :

△AFB≅△DEC

Since triangle AFB is congruent to triangle DEC their corresponding parts will be equal.

Which means :

m∠AFB = 37°m∠ABF = 90°

Sum of all angles of a triangle = 180°

Measure of ∠CDE :

[tex] = \tt180 - 37 + 90[/tex]

[tex] = \tt180 - 127[/tex]

[tex] = \tt53[/tex]

Thus, the measure of angle CDE = 53°Then, the measure of angle BAF = 53°

Therefore, m∠A = 53°

My answer :

[tex]\hookrightarrow\boxed{\color{plum}\bold {\tt \: \bold{m∠A = 53°}}}[/tex]

A bag contains 3 red cubes, 4 yellow cubes, and 3 green cubes. You choose a cube without looking, note its color, and put the cube back in the bag. Suppose you do this a total of 80 times. About how many times would you expect to choose a red or yellow cube?

Answers

Answer:

is it multiple choice that would help

Step-by-step explanation:

Answer:

56 times

Step-by-step explanation:

Total cubes:

3 + 4 + 3 = 10

Number of yellow or red:

3 + 4 = 7

Probability of yellow or red:

7/10

Same probability 80 times:

80*7/10 = 56

Expected number is 56

Brandon has $50 in his savings account. He plans to deposit $20 into his savings account each month. Which expression could be used to find the amount of money Brandon will have in his savings account after x months of making deposits?

a
20x - 50
b
20x + 50
c
20 + 50x
d
20 + 50 + x

Answers

B. 20x+50.
20$ is the reoccurring payment so it’s gets the x.

Solve for x. What is the value of

Pls help me

Answers

Answer

x = 21

HOS = 68

Explanation

The arrows beside x point to 12 and 6, which is a straight angle. Straight angles always add up to 180 degrees.

So that means 3x+5 plus 5x+7 must equal 180 degrees.

3x+5+5x+7 = 180

Combine like terms.

8x+12 = 180

Subtract 12 from both sides.

8x = 168

x = 21

But BE CAREFUL.

The problem is asking for the angle HOS.

To do this, just substitute what you got for x into the expression.

3(21)+5 = 68

The value of HOS is 68 degrees.

There are 80 balloons used
to make 20 identical gift
baskets. What is the unit
rate in balloons per gift
baskets?

Answers

4 ballons/gift basket

The answer your looking for is 4.

Step-by-step explanation:

This is because ⬇

     80

➗ 20

       4

You can check this by doing 20 * 4 if needed.

Therefore 4 is your answer.

( Sorry this is late )

HELP I have hard homework

Answers

9514 1404 393

Answer:

  b.  55°

Step-by-step explanation:

Complementary angles have a sum of 90°.

  ∠ABC +∠CBD = 90° . . . . . . the given relation

  ∠ABC + 35° = 90° . . . . . . . . . substitute the given value

  ∠ABC = 55° . . . . . . . . . . . . . . subtract 35° from both sides

  ∠ABC = ∠EBF = 55° . . . . . . vertical angles are congruent


pls help this is due soon pls pls

Answers

Answer:

1500

Step-by-step explanation:

All you have to do is multiple the powers together!! 15x100=1500

Nina is buying a new petfish At the pet store, Gre fish tank has an equal tumber of two kinds of fish tetras and guppies. Each kind of fish comes in
four different colors, yellow, orange, bluse, and silver. There are an equal number of each color of fish in the tank
Blue
Silser
Tetra
Yellow
YT
YG
Orange
CT-
OG -
Different Types Of Tetra
BT-
BC
STA
SG
Gupy
Question
Response
If Nina scoops out a fish at random, what is the probability
that she will scoop out a silver tetra? Show how you decided.
What do the fractions in the table represent
What is the area of the entire table add up the fractions)

Answers

Answer:

Step-by-step explanation: CT-4 OG-6

46. MULTI-STEP A flying disk has a radius of 4.9 inches. Jolanda discovers that adding a hole with a radius of 3.75 inches to the center of the disk reduces the weight of the disk, so it travels farther. Jolanda wants to experiment with the size of the disk to increase flying distance. In the new disks she creates, the sizes of the disks and holes are increased on decreased by the same amount. a. Write an expression for the area of the top of the new flying disks. b. Explain your solution process. ​

Answers

Answer:

jdnckrbekspqhdjgkck,bwmwldbcbxnlwlwwnckv

A line with -2 and y intercept of 4

Answers

Answer:

The equation of the straight line y = -2x +4

Step-by-step explanation:

Explanation:-

Given that the slope of the line   m=-2

Given that  y-intercept c=4

The equation of the straight line

slope -intercept form  y =mx +c

The equation of the straight line y = -2x +4

What is a 75/25 mortgage?
A. A mortgage with 7.5% an 2.5% interest rate
B. A breakdown of principal to interest in traditional mortgages
C. A type of piggyback mortgage
D. A type of refinance plan

Answers

Answer:

c. A type of piggyback mortgage

A type of piggyback mortgage

PLEASEEEEEEE HELPPPPPPPPP, I WILL GIVE BRAINLIEST :))

The table below represents the displacement of a horse from its barn as a function of time:

Time Displacement
0 8
1 58
2 108
3 158
4 208

What would be the domain of the function if the horse continued to walk at this rate until it traveled 508 feet from the barn?

Answers

11 is the answer I got

What is the difference of
7
8

1
3
?

A.
7
+
1
8
+
3
=
8
11
B.
7

1
8

3
=
6
5
C.
7
×
1
8
×
3
=
7
24
D.
(
7
8
×
3
3
)

(
1
3
×
8
8
)
=
21
24

8
24
=
13
24

Answers

Answer:

Step-by-step explanation:

the difference is 56 because if you add and divide them by 3 and -2 you will get 56

Evaluate (y - 9) + (3 + x), when y = 15 and x = 5​

Answers

Answer:

14

Step-by-step explanation:

It says 'Evaluate (y - 9) + (3 + x), when y = 15 and x = 5​'.

So we'd put 15 in y's place. It'll look like this (15 - 9).

Then we'd put 5 in x's place. It'll look like this (3 + 5).

You subtract (15 - 9) which equals 6. And you'd add (3 +5) which equals 8. You add 6 + 8 together since those are your answer for the parentheses. Your final should be 14. Hopefully this helped!

1. Sen 495° debo o sea evaluarlas las funciones trigonométricas para ángulos que no se encuentra en círculos unitarios y me pide explicar y desmontar ​

Answers

Answer:

which language is this???

Write the number 3.1 x 104 in standard form.

Answers

the answer is 31,000
move the decimal 4 spaces to the right

are of parallelogram
base= 11.4
height = 8.9

Answers

Answer:

area o parallelogram =base ×height

area of parallelogram =11.4×8.9

area of parallelogram =101.46

Answer:

101.46

Step-by-step explanation:

11.4 * 8.9= 101.46

B*H= area

Fill in the blank.

In a parallelogram, diagonals ____.

a. are perpendicular
b. are congruent
c. bisect each other
d. are parallel

Answers

Answer:

c. bisect each other

Step-by-step explanation:

In a parallelogram, diagonals bisect each other.

Answer:

C. Bisect each other

Step-by-step explanation:

A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal. The diagonals of a parallelogram bisect each other.

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