The population P of bacteria in a culture after t minutes is given by the equation p=p0 (1.14)^t where P0 is the initail population. If the number of the bacteria starts at 400, how long will it take for he population to incfrease to 2000

Answers

Answer 1

Answer:

The time taken is 4.79 minutes.

Step-by-step explanation:

[tex]P = Po(1.4)^{t}[/tex]

initial Population, Po = 400

Final population, P = 2000

Let the time is t.

[tex]2000 = 400(1.4)^{t} \\5 = (1.4)^t\\log 5 = t log 1.4\\0.6989 = 0.146 t \\t = 4.79 minutes[/tex]


Related Questions

what is the decinal for this word for thirty four hundereth

Answers

Answer:

thirty-four hundredths is 0.34

Step-by-step explanation:

Answer:

0.34

Step-by-step explanation:

Drag the numbers to the boxes to order them from least to greatest value. 22/7. √3. 16/4. √5

Answers

Answer:

√3

√5

22/7.

16/4

Step-by-step explanation:

22/7 = 3.14

√3 = 1,73

16/4 = 4

√5 = 2.23

the least would have the smallest value. the greatest would have the largest value

help! :))))))) :00000

Answers

Answer:

I think D

Step-by-step explanation:

Answer: a

Step-by-step explanation:

4+8=12

The best models a. are mathematical models. b. replicate all aspects of the real-world object or decision. c. replicate the characteristics of a component in isolation from the rest of the system.

Answers

Answer:

accurately reflect relevant characteristics of the real-world object or decision

Step-by-step explanation:

a. are mathematical models. b. replicate all aspects of the real-world object or decision. c. replicate the characteristics of a component in isolation from the rest of the system.

accurately reflect relevant characteristics of the real-world object or decision

A model is an abstraction of reality. not all good models are mathematical. there are good models in economics that are accurate and do not use maths. e.g. law of demand

It is impossible for a model to replicate all aspects of the real-world object or decision. It will only be able to reflect relevant characteristics of the real-world object or decision. All other factors would be held constant

A cylindrical swimming pool has a diameter of 14 feet and a height of 5 feet. How many gallons of water can the pool contain? Round your answer to the nearest whole number. (1 ft3 ≈ 7.5 gal)

Answers

The volume of a cylinder is pi*height*radius^2 = pi*5*(14/2)^2 = 769.69 ft^3. To get the total gallons multiply 769.69 ft^3 by 7.5gal/ft^3 to get 5772.6765 gallons or 5773 gallons rounded to nearest whole number.

Please solve this system of equations using the Substitution Method:
y= 2x + 10 and 2x+y= -6

Answers

the answer is y=2 x=-4

C + C + 3C = 35
which values for c make the equation true ?

Answers

Answer:

C=7

Step-by-step explanation:

When you replace c for 7 you get

7 + 7 + 3(7) =35

14 + 21 = 35

35 = 35

Convert 37 liters to milliliters. Choose the words and numbers to complete the statements. unit than a milliliter, so Choose... the number of liters by A liter is a Chooslm.. Choose... Choose... smaller larger milliliters. number of milliliters. Therefore, 37 liters is equal to Choose... <​

Answers

Answer:

A liter is a larger unit than a milliliter, so multiply the numbers by 1000 to find the number of milliliters. Therefore, 37 liters is equal to 37,00 milliliters.

Answer:

A liter is a

Answer: larger

unit than a milliliter, so

Answer: multiply

the number of liters by

Answer: 1,000

to find the number of milliliters. Therefore, 37 liters is equal to

Answer: 3,700

milliliters.

Step-by-step explanation:

Directions: Chose the correct possessive form of the noun.

the papers belonging to the students

Group of answer choices

student's papers

students' papers




the football belonging to the team

Group of answer choices

teams' football

team's football





the eyes belonging to Maria

Group of answer choices

Marias' eyes

Maria's eyes





the excitement belonging to the child

Group of answer choices

child's excitement

childs' excitement





the books belonging to the classs

Group of answer choices

class' books

class's books





the mascot belonging to the school

Group of answer choices

school's mascot

schools' mascot





the room belonging to the kids

Group of answer choices

kids' room

kid's room





the shirt belonging to Michael

Group of answer choices

Michael's shirt

Michaels' shirt

Answers

Answer: This is my alt, give brainliest to the other one

Step-by-step explanation:

Max Play´s his games for 20 min an he started at 9:00

Answers

Answer:

so 9:20

Step-by-step explanation:

I'm confused by this question

Answer:

it would then be 9:20 if he started at 9:00 and played for 20 minutes.

Teachers were told that next year they would receive a percent increase in their salary. Mrs. Bennett is making $32,000 a year and will receive $2,550.00 more next year. What is the percent increase? Round to the nearest percent.​ I need this answer ASAP please and thank you!

Answers

Answer:

7.97%

Step-by-step explanation:

Given data

Original Salary= $32,000

Increase= $2,550.00

percent increase= increase/original *100

Percent increase= 2,550.00/32000*100

Percent increase=  0.0796875*100

Percent increase= 7.97%

Hence the increase is  7.97%

Jason wants to earn at least $250 each week working during the summer.

Jason earns $6.00 an hour babysitting.
Jason earns $7.75 an hour working at a store.
He can work no more than 40 hours each week.
Let b equal hours of babysitting, and s equal hours working at the store.


Which system of inequalities models the constraints?





6.00b + 7.75s ≤ 40
b + s ≥ 250


6.00b + 7.75s ≥ 250
b + s ≤ 40


6.00b + 7.75s ≥ 40
b + s ≥ 250


6.00b + 7.75s ≤ 250
b + s ≤ 40

Answers

Answer:

6.00b + 7.75s ≥ 250

b + s ≤ 40

Step-by-step explanation:

6.00b + 7.75s ≥ 250---this represents how much he will make

b + s ≤ 40---these are his hours. B+S are his hours, and they can't be greater than 40 hrs, so ≤.

At Bike Shop X it costs ​$2.75 per hour plus a ​$3.00 deposit to rent a bike. At Bike Shop Z it costs ​$ 1.75 per hour plus a ​$7.00 deposit to rent a bike. The total​ cost, c, of renting a bike for n hours at either bike shop can be represented by an equation. Write and solve a system of equations to find how many hours you have to rent the bike for the cost to be less to rent a bike from Bike Shop X. Write the system of equations. Choose the correct answer below.

Answers

Answer:

89 dollars for working at bike shop for 2.75 dollars a hour


help again <3 ty i will very much appreciate it

Answers

Answer:

5√3 is the simplified radical expression.

is Johny or Susie correct?

Answers

Susie is correct because you have to add the x’s separately and not with 5 like Johny did.

5 times d algebra expression

Answers

Answer:

5d

Explanation:

5 is the coefficient and when put directly next to d gives you 5 times d

Hep me please dad, mom, stranger, best friend step sister, real sister, step brother, real brother. blood for the blood god

Answers

Answer:1040

Step-by-step explanation:

the volume of a cylinder is 97ft^3.If thedimensions are doubled, what will be the new volume

Answers

Answer: 776ft^3

Step-by-step explanation: The formula for volume of cylinder is: V=πR²h, where R is the radius of the bottom which is the circle, h is the height of the cylinder. Hope this helps!

it is in the picture

Answers

Answer:yes

Step-by-step explanation:

pleaseeeeeeeeeee help me ​

Answers

Answer:

144

Step-by-step explanation:

4 x 4 = 16 x 2 = 32

7 x 4 = 28 x 2 = 56

7 x 4 = 28 x 2 = 56

add them up

144

A line passes through the point (2,10) and has a y-intercept of 4. What is the equation of the line?

Answers

Answer:

Step-by-step explanation:

Slope= 10-4/2-0=3 y= 3x+4  (10= 3(2)+4

Brayden is buying a new video game console for $356.88, which includes tax. If
he made a down payment of $50, what would his monthly payment be if he
paid the rest in 8 months (each of equal payments)?

Answers

Answer:

His monthly payment would be $38.36

Step-by-step explanation:

Firstly, we subtract the down payment from the total

We have this as;

356.88 - 50 = 306.88

Now, to get the monthly payment, we have to divide this by 8

We have this as;

306.88/8

= $38.36

what is the area of the following circle?​

Answers

Answer:

The answer would be 3.14

Step-by-step explanation:

Area is found by doing 3.14 times the radius sqauared and the radius is 1 so the answer would be 3.14

What Is the average rate of change f(x) = x ^ 2 - x + 4; x= 2 to x = 4

Answers

Answer:

B

Step-by-step explanation:

Please anwer this for me so i dont fail in test thanks

Answers

Answer:

Multiply each term in the 2nd equation by 2

Step-by-step explanation:

This will allow him to eliminate the 2y

The volume of a cube is 27 cubic inches. What is the side length of the cube?

A.3
B.9
C.81
D.19683

Answers

Answer:

A. 3

Step-by-step explanation:

Answer:

a=3in

Step-by-step explanation:

Using the formula

V=a^3

Solving for a

a=V⅓=27⅓=3in

What is the volume of the cylinder to the nearest cubic cementer?

3016 cubic centimeters
378 cubic centimeters
5655 cubic centimeters
377 cubic centimeters​

Answers

Answer:

Therefore, the volume of the cylinder is about 3016 cubic centimeters. Subjects Near Me

Step-by-step explanation:

thank me later

Answer:

3016 cubic cubes

Step-by-step explanation:

Find the missing side. Round to the nearest tenth.
X
66°
12
A) 30.6
C) 28.9
B) 29.5
D) 4.9

Answers

Answer:

B. 29.5

Step-by-step explanation:

Cos=A/H

=12/x

x=12/cos66

Use the following equation for parts A and B: 〖(x-2)〗^2-41=8

How do you know you are looking for 2 solutions when solving this equation instead of just 1 solution? Please explain in words, although you can also use steps of work to support your answer.

Answers

Answer:

Although im also doing this assignment im pretty sure it means that you can get multiple solutions depending on how you solve it for example 4x4+6 you are able to get 2 answers from this.

Step-by-step explanation:

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

The answe I got was B
I think the answer is B
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