Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100 bacteria. Estimate the size of the population after 20 hours.

Answers

Answer 1

Answer:

the estimation of the size of the population after 20 hours is 10159

Step-by-step explanation:

The computation of the size of the population after 20, hours is shown below;

= 100  2^(20 by 3)

= 10159.36

If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7

So the estimation of the size of the population after 20 hours is 10159

hence, the same is relevant

Answer 2

Answer:

The answer is "10159"

Step-by-step explanation:

Every 3 hours the population doubles, with an initial population of 100.

[tex]\to P(t) = 100 \times 2^{\frac{t}{3}}[/tex]

[tex]P(t)= \text{The population of bacteria}\\\\ t = \text{time in hours} \\[/tex]

when t=20

[tex]\to p(20)= 100 \times 2^{\frac{20}{3}} \\[/tex]

             [tex]= 100 \times 101.593667\\\\ =10159.3667[/tex]


Related Questions

What is the volume of the following rectangular prism?
2 units
3
3- units?
Plssss help ASAP!!!

Answers

Answer:

13.5

Step-by-step explanation:

ngl i asked siri

student missed 88 questions on a test and scored a 2%, how many questins are on the test if all were of equal value

Answers

Answer:

There were 90 questions in the test.

Step-by-step explanation:

He missed 88 questions on the test and scored a 2%. This means that the 88 questions missed correspond to 100% - 2% = 98% of the total number of questions, which is x. So

[tex]0.98x = 88[/tex]

[tex]x = \frac{88}{0.98}[/tex]

[tex]x = 89.8[/tex]

Rounding up

There were 90 questions in the test.

FAST PLEASE A school assembly had 98 students in attendance, and 50% of them were first-graders. How
many first-graders were at the assembly?

Answers

Answer:

49

Step-by-step explanation:

50% is basically half so divide 98 by 2

if I was 15 ft tall and I grew 17 yards how much have I grown​

Answers

Answer:

66 ft or 22 yards

Step-by-step explanation:

1 yard = 3 ft.

Convert 15 ft to yards (multiply by 3) and add 17.

A bake sale sells cupcakes for $.75 and brownies for $.50 Billy spends $10 at the sale using C for cupcakes and beef or brownies write a linear equation for the amount spent by Billy for cookies and brownies

Answers

Answer:

Stuck on it

Step-by-step explanation:

Why do all organisms require nitrogen?

Answers

Step-by-step explanation:

Nitrogen is essential for all living things because it is a major part of amino acids, which are the building blocks of proteins and of nucleic acids such as DNA, which transfers genetic information to subsequent generations of organisms.

Answer:

Nitrogen is essential to organisms because nitrogen is needed to make amino acids and proteins and also to make nucleic acids such as DNA and rNA

How can X - 2/3 = 5/6
be solved for x in one step?


A. Add 2/3 to both sides

B. Add 5/6 to both sides

C. Subtract 2/3 from both sides.

D. Subtract 5/6 from both sides.

Answers

Answer:

A.)

Step-by-step explanation:

You need to add 2/3 to both sides

Answer:a

Step-by-step explanation:

edge2022

You took a math test with 20 questions on it. Your teacher said you got 90% of
the problems correct. How many questions did you get correct on the test?
a.
9
b.
15
C.
18
d.
90


Please hurry

Answers

Answer:

Hello as fast as i can answer 18.

Step-by-step explanation:

Reason 20 times 5 equals a 100

so 18 times 5 equals 90.

there for 18 is your answer.

-

Have a good day.

Answer:

C. 18

Step-by-step explanation:

90% of 20 is 18! Good luck!

Price-club sells 12 ounces of crackers for $2.76 and Shop Mart sells 16 ounces of crackers for $3.20.
The store with the better price is Shop Mart or Price-club

Answers

Shop mart, 3.20/16= 20 cents Price club, 2.76/12= 23 cents

Answer:

shopmart

Step-by-step explanation:

The coordinates of point A on a grid are (5, −3). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (5, ? )

Answers

Answer: (5,3)

Step-by-step explanation:

the formula used for a reflection across the x-axis is (x,-y)

Someone answer this for me. I will give u branily whoever right.

Answers

Step-by-step explanation:

21x+72+105+78=360

21x=105

x=5

Question 8 of 11
Simplify the following expression:
V-16 + V-25+5
O A. 14+01
O B. 5+9i
O C. 9-51
O D. 5 + 5411

Answers

The answer should be 5 + 9i

Answer: 5+ 9i

Step-by-step explanation:

Steph Curry scored 62 points in 36 minutes of playing time. What was the unit rate? (points per minute)

A. 9
B. 1 13/18
C. 25.3
D. 6

Answers

Answer:

b

Step-by-step explanation:

it is

Answer:

B. 1 13/18

Step-by-step explanation:

1 13/18 x 36 = 62

1. 42

2.70

3.35

4.84

Helpppppppppp

Answers

Answer = 84

Step-by-step explanation :

Area = b • h

14 = b
6 = h

14 • 6 = 84
Answer: 35
Explanation: I honestly put it in a triangle generator and it gave me the answer I promise it’s right

HELP PLEASE...........

Answers

Answer:

1. 9

2. 12

3. 26

Step-by-step explanation:

Answer:

1. 9

2. 12

3. 26

Step-by-step explanation:

An easy way to solve problems like this is to convert the percentage into a decimal, then multiply that decimal by the whole. For example, if I had the question "What is 10% of 100?", I would first convert the 10% to a decimal. 10% is the same as 10/100, which in decimal form is 0.1. I would then multiply 0.1 by  100 to find out how much 10% of 100 is. I get 10, so my answer is 10. Hope this helps!

2p+18=200 solve for p show your work

Answers

Answer:

91

Step-by-step explanation:

2p+18=200

subtract 18 on both sides

2p=182

Divide 2 on each side

p=91

Answer:

p=91

Step-by-step explanation:

2p+18=200

p+9=100 (Divide both sides by 2)

p=91 (Subtract 9 from both sides)

The graph shows the distance Maria traveled from home in miles (y) as a function of time in seconds (x). Image is down below:
Which segment shows Maria waiting for a cab? (5 points)
P
Q
R
S

Answers

Answer:

The answer is point Q

Step-by-step explanation:

The population of City A was approximately 243,000
people, and it increased by 8% in one year. What was the
new population?

Answers

Answer:

262440

Step-by-step explanation:

Jaden and Dani are both travelling by train.
Jaden's train travels 130 km in 75 minutes.
Dani's train travels 312 km.
It leaves at 15:15 and arrives at 18:30.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:  28.765957 km/hour

This value is approximate. Round it however you need to.

==============================================

Explanation:

Let's convert 75 minutes to hours.

75 min = (75 min)*(1 hr/60 min) = (75/60) hr = 1.25 hr

So Jaden's train takes 1.25 hours to travel 130 km. Her train's speed is

speed = distance/time

speed = (130 km)/(1.25 hrs)

speed = (130/1.25) km per hour

speed = 104 km per hour

Let A = 104, so we can use it later.

------------------------------------

Dani's train leaves at 15:15 and arrives at 18:30. We need to calculate the duration of elapsed time here.

From 15:15 to 16:00, this is a difference of 00:45, aka 45 minutes or 45/60 = 3/4 = 0.75 hours.From 16:00 to 18:00, this is a time gap of 2 hours. From 18:00 to 18:30, this is a gap of 30/60 = 0.5 hours

Overall, the length of time from 15:15 to 18:30 is 0.75+2+0.5 = 3.25 hours.

Dani's train travels 312 km in 3.25 hours.

That train's speed is...

speed = distance/time

speed = (312 km)/(3.25 hours)

speed = (312/2.35) km per hour

speed = 132.765957 km per hour, approximately

Let B = 132.765957 so we can use it later.

------------------------------------

Lastly, we subtract the values of A and B to get the final answer

C = difference in train speeds.

C = B - A

C = 132.765957 - 104

C = 28.765957 km/hour

This value is approximate. This says that Dani's train is approximately 28.765957 km/hour faster compared to Jaden's train.


could anyone help me find the area of this please :)

Answers

Answer:

40

Step-by-step explanation:

if you cute the shape into 2 triangles and move them to make a square you'll get 5 and 8, then multiply them together and you'll get 40

Please help me ASAP I’ll mark Brainly

Answers

Answer:

13(2+3)

Step-by-step explanation:

hope this is correct let me know if you need the steps!

-5x = 90
ASAP plz help

Answers

Answer:

if ur trying to solve it x = -18

Step-by-step explanation:

what is the the y intercept of the function f(x)=-2/9X+1/3?​

Answers

Answer:

1/3

Step-by-step explanation:

the y-intercept is when x=0, so, if x was 0, y is1/3

plz brainliestt

Answer:

It is 1/3

Step-by-step explanation:

hope it helps ^^

PLEASE HELP Bill receives a monthly stipend of $800. He also works at a bookstore making $8 an hour. He wants a monthly income of $1,200.
How many hours does he need to work each month?

Answers

Answer:

Bill will need to work 50 hours every month.

Step-by-step explanation:

First, we subtract the stipend from the total income he wants to have since he will already recieve it.

[tex]1200 - 800 = 400[/tex]

From this 400 dollars, we can divide it by 8, or his hourly rate to find the rest of the time he needs to work.

[tex]\frac{400}{8}=50[/tex]

Bill needs to work 50 hours to make his total income of 1200.

Hope it helped!

If y=3x+4 and y=2x+8 find the value of both x and y

Answers

Answer:

x=4, y=16

Step-by-step explanation:

Since y is alone on one side of both equations, that means that the equations are equal.

[tex]2x+8=3x+4\\[/tex]

Put like terms on the same side of the equations. I put the numbers on the left and the Xs on the right. To do this subtract 4 from both sides. You will get:

[tex]2x+4=3x[/tex]

Next, I subtracted the 2x from both sides;

[tex]4=x[/tex]

For y, just substitute the x in the equation with 4. Will work for either equation.

[tex]y= 3(4)+4\\y= 12+4\\y=16[/tex]

Or

[tex]y=2x+8\\y=2(4)+8\\y=8+8\\y=16[/tex]

Therefore, y=16

Write in lowest terms:
9/(15x)

Answers

Answer:

Step-by-step explanation:

3x - 25

 ———————

    5  

Should be something similar to that, sorry If i couldn't help much.

01b3bed22d9bb79e5ed9ba#screenldx=3
2. Mario invested $500 dollars at 4% interest,
compounded bi-monthly. How much will Mario have in
his account 25 years from now?

Answers

Answer:

125

Step-by-step explanation:

500 divided by 4 = 125

can I pls have brainlest

Brainly help what is the answer to the question below.

Answers

Answer:

16

Step-by-step explanation:

f(2) = -4, and g(-4) = 16

PLEASE HELP ASAP! WILL GIVE BRAINLIEST!
Which statements below are ALWAYS TRUE about Rectangles? Choose ALL THAT APPLY.

- Diagonals are perpendicular

- Diagonals bisect each other in diagonals are equal in length

- Diagonals bisect each other, but they are NOT equal in length

- Opposite sides are congruent

- All four sides are congruent

- Diagonals bisect 90° angles

- Diagonals DO NOT bisect 90° angles

Answers

3 Answers:

B) Diagonals bisect each other and diagonals are equal in lengthD) The opposite sides are congruentG) Diagonals do not bisect the 90 degree angles

==========================================================

Explanation:

Let's go through the answer choices one by one

A) This is false. If the diagonals were perpendicular, then we would have a square. The diagonals are also perpendicular for any rhombus and for any kite. For any non-square rectangle, the diagonals are not perpendicular.B) This is true. The diagonals bisect each other because we're dealing with a parallelogram. Any rectangle is a parallelogram. For any rectangle, the diagonals are equal in length as well. We can use SAS congruence theorem to prove this.C) This is false. The first part is true, but the second part contradicts what choice B is saying.D) This is true. The opposite sides of any rectangle are congruent, and they are parallel. E) This is false. Imagine a really stretched out or elongated rectangle. So not all four sides of a rectangle are the same length. If they were, then we would have a square.F) This is false. The diagonals do not bisect the angles unless we're dealing with a square. Again imagine stretching out a rectangle to make it very elongated. G) This is true since choice F was false.

The statements always true about rectangles are Diagonals bisect each other in diagonals are equal in length, Opposite sides are congruent, Diagonals DO NOT bisect 90° angles.

What is Rectangle?

Rectangle is a two dimensional figure which has four sides and four angles and all the angles are right angles.

Diagonals are not perpendicular in rectangles. So first statement is wrong.

Diagonals bisect each other in rectangles and the length of the diagonals are equal.

Since the length of diagonals are equal, third statement is wrong.

Opposite sides of a rectangle are equal and are thus congruent.

In a rectangle, only opposite sides are congruent and equal. All the four sides are not equal and are thus not congruent.

Diagonals of a rectangle does not bisect 90° angles.

Hence the correct statements are shown.

Learn more about Rectangles here :

https://brainly.com/question/18983839

#SPJ6

Enter the product in simplest form 8/12 x 3/8

Answers

Answer:

1/4

Step-by-step explanation:

I simplified before multiplying

8/12=2/3

2/3*3/8

Cross simplilify and get

1*1/4

1/4

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