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

Kevin needs to buy some cardboard to build a box 11 inches long, 7 inches wide, and 10 inches high. How much cardboard is needed to build the box?

Answers

Answer:

770 inches of cardboard is needed to build this box

Step-by-step explanation:

Use the formula for cubes B x W x H

The base of the cube will be 7 inches the length is 11 inches, and the height is 10 inches. Then, we multiply.

7 x 11 x 10 = 770

Using the Pythagorean theorem what is the distance between (5,-3) and (9,1)

Answers

Step-by-step explanation:

Distance between (5,-3) and (9,1)=√(9-5)^2+(1-(-3))^2

=√4^2+4^2

=√16+16

=√32 units

It's not possible to calculate the distance between these points by pythagoras theorem .We can easily calculate it by distance formula I.e.√(x2-x1)^2+(y2-y2)^2

Factorise: 5x + 25
with the steps ​

Answers

Answer:

5(x + 5)

Step-by-step explanation:

The first step is to divide, so:

5 ÷ 5 = 1

25 ÷ 5

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

So then:

5(x + 5)

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

Have a good day :)

Answer:

5(x+5)

Step-by-step explanation:

5x + 25

5*x + 5*5

Factor out a 5

5(x+5)


HELP PLEASE
LIAM SAYS -(5/12) is equal to 5/-12 is he correct or wrong ?

Answers

Answer:

He's incorrect

Step-by-step explanation:

lf you put -(5/12) you get -2 1/2 and 5/-12 is -0.4166 and so forth. You can tell these number's aren't the same, so always check with a culculator to make sure. In this case he is wrong.

f(x) = 3x - 1

Consider the function below. Find f(x) = 32 *find x value*

Answers

Answer:

f(32) = 95

Step-by-step explanation:

f(32) = 3(32)-1

f(32) = 96 - 1

f(32) = 95

Hope this helps have a great day

Do the following lengths form a right triangle? Show your work.
12
5
13
Please answer quick

Answers

Answer:

yes

Step-by-step explanation:

side 5 and side 12 where the angle is you can form a square in the corner

There is 1/3 of a pizza left to split between 3 of your friends. If you split the pizza equally. What fraction of the pizza will each of your friends get.

Answers

Answer:

Each friend will get 1/9 of the pizza (I think).

Step-by-step explanation:

I believe you would divide 1/3 by 3, or in other words, multiply 1/3 * 1/3:

1/3 * 1/3 = 1/9

Have a nice day!! It would be TOTALLY RAD if I could get brainliest!!!

The answer is 1/9, all you have to do is divide 1/3 by 3!

Find the value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

The angle next to (adjacent to) 19x + 3 is 180 degrees less (19x + 3):

180 - (19x + 3)

and the three interior angles of the triangle must sum up to 180 degrees:

11x - 2 + 180 - 19x - 3 + 9x + 1 = 180, or

11x - 2 - 19x - 3 + 9x + 1 = 0

Combining like terms, we get:

x = 4


Can someone help on this?

Answers

It is d hope that helps!

Answer:

D

Step-by-step explanation:

p(x, y) reflection on y axis = p'(-x, y)

If m
A.140

B.60

C.50

D.40

Answers

Answer:

140

Step-by-step explanation:

Angle C = 180-A-B

C=180-80-60=40

DCA = 180-Angle C

DCA = 180-40

The frequency of a radio wave varies inversely as its wavelength. If a 250-meter wave has a
frequency of 1,200 kilohertz, what is the wavelength of a wave that has a frequency of 6,000
kilohertz? Round your answer to the nearest meter

Answers

Answer:

50 m

Step-by-step explanation:

What is the weight of the contents of a 50 gallon drum of alcohol? Express answer to the nearest hundredth pound.

Answers

Answer:

416.444 pounds

Step-by-step explanation:

Drum of alcohol = 50 gallons

Convert gallon to pound

1 gallon = 8.329 pounds

50 gallons = 416.444 pounds

50 gallons drum of alcohol = 416.444 pounds of alcohol to the nearest hundredth pound.

The amount of attendance at a dinner must go from being 57 people to 65 people. What is the percent of change

Answers

Answer:

4%

Step-by-step explanation:

What is the first step in solving k in the equation k + 2 = 15 ?

Answers

Answer:

13

Step-by-step explanation:

subtract 2 by 15 to get 13

k = 13

Subtracting by -2 on both sides to get k=13

Can someone help me with this? Right answer gets brainliest!! :)

Answers

Answer:

7 times (*) 8

Step-by-step explanation:

Product in this case means multiplication

56 is the correct answer

2. Find the missing side length
of the right triangle below.
25 ft.
24 ft.

Answers

Answer:

1 ft

Step-by-step explanation:

A^2+B^2=C^2

We have A and C

So 24+B^2=25

Subtract 24 from both sides

B^2=1

Square root both sides

B=1

Answer:

7 ft

Step-by-step explanation:

eh don't wana explain but I'm 80% sure that's the answer

Please help I have 15!!!!!!!

Answers

Answer:

True

Step-by-step explanation:

x^a = b

x^( a / a ) = b^( 1 / a )

x^1 = b^( 1 / a )

x = b^( 1 / a )

Jasmine had an average daily balance of $1,608.24 for the last billing cycle, which had 31 days. If her credit cards charges an APR of 22.99%, what would her finance charges be for the last billing cycle?

Answers

Answer:

Finance per billing cycle = $ 30.91

Step-by-step explanation:

First, we will calculate the APR for 1 day:

APR per day = (22.99%/year)(1 year/12 month)(1 month/31 days)

APR per day = 0.062 % / day

Now, we will calculate the finance per day:

Finance per day = (Daily Balance)(APR per day) = ($ 1608.24)(0.062 %/day)

Finance per day = $0.99/day

Now, we will calculate the finance for one billing cycle:

Finance per billing cycle = (Finance per day)(31 days) = ($ 0.99/ day)(31 days)

Finance per billing cycle = $ 30.91

I don’t know what to do please help

Answers

Answer:

haha um make conversation

Step-by-step explanation:

Ok from experience texting back multiple times when the person is just leaving you on scene is a little weird. There could be multiple things happening and constantly trying to get a answer is kinda pressuring the person to text back even if they don’t know what to say.

The graph of a linear system is shown​

Answers

answer:

(2,6)

step-by-step explanation:

when solving by graphing, their interaction point is the solution

Answer:

(2, 6)

Step-by-step explanation:

you can find the solution to a linear system by looking at the plot points they intersect at.

hope this helped!

I WILL GIVE BRAINLIEST!!!!!!! A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes). 1.235 952 457 1,486 1,486 | 1,759 1,148 548 1,0371,864 | 1,245 866 1,431 a. Estimate the median time it will take all players to finish this game. minutes b. Find the interquartile range for this sample minutes​

Answers

Answer:

a)  median = 1,148 minutes

b)  IQR = 549.5

Step-by-step explanation:

Q1 = (952 + 866) / 2 = 909

Q3 = (1431 + 1486) / 2 = 1458.5

IQR = 1458.5 - 909.0 = 549.5

Solve for X and Find AC

Answers

X=3
AC=14
Method below

Dana is creating a video. Her computer shows that the video is 265.038 seconds long. She writes the length of the video in expanded form. Which expression represents the value of one of the digits in the length of Dana's video?

Answers

Options aren't supplied. However, a list of possible answers have been worked out.

Answer:

Kindly check explanation

Step-by-step explanation:

In expanded format :

256.038 can be broken down as :

2 represents 200 ; 2 hundred = 2 * 100

5 represents 5 tens = 50 = 5 * 10

6 represents 6 unit = 6 * 1

0 represents 0 tenths

3 represents 3 hundredths = 3 * 1/100

8 represents 8 thousandths = 8 * 1/1000

The options aren't given, but the answer would be among the values listed above

I need to know what is the factor is the ball height changing after each bounce

Answers

Answer:

After each bounce it reaches a height which is 75% of its maximum height after the previous bounce.

Step-by-step explanation:

Solve plz
500 - 2.23

Answers

Answer:

497.8

Step-by-step explanation:

500-2.23=497.77=497.8

Answer:

500-2.23500-2.23497.77

hope it helps

stay safe healthy and happy.

Which pair of angles must be supplementary?
A. <1 and <5
B. <5 and <3
C. <4 and <5
D. <4 and <1

Answers

Answer:

I think C but I could be wrong

Step-by-step explanation:

Samantha saw two bottles of ketchup at the store for the same price. One bottle contained 4 pints of ketchup, and the other contained 1.25 quarts of ketchup.

Which bottle was the better bargain?

Answers

Answer:

The 4 pint ketchup bottle was the better bargain.

Step-by-step explanation:

To find which bottle was the better bargain, find which one had the most amount of ketchup in it.

In one quart, there are 2 pints.

Convert the 1.25 quart bottle to pints by multiplying 1.25 by 2:

1.25(2)

= 2.5

Since 4 is larger than 2.5, the 4 pint bottle of ketchup has more.

So, the 4 pint ketchup bottle was the better bargain.

Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)? A. .34 B. .51 C. .17 D. .68

Answers

Answer:

0.51

Step-by-step explanation:

Mathematically, for two individual events;

P(AnB) = P(A) * P(B)

P(A n B) = 0.6 * 0.85 = 0.51

Answer:

.51 (B)

Step-by-step explanation:

i need help with this please

Answers

Answer:

650 cm²

Step-by-step explanation:

Use the formula 2(lw+wh+lh)

Plug in the stuff: 2(5*9+9*20+5*20)=2(45+180+100)=2(325)=650 cm²

And there you go!

Please mark brainliest!

Easy math please help!!

James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need? (Your answer should just be a number.)

Answers

Answer:

48

Step-by-step explanation:

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