A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 2 hours, to the nearest whole number?

Answers

Answer 1

Answer:

45495

Step-by-step explanation:

Answer 2

Answer:

10077

Step-by-step explanation:

A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P

t

=P

0

⋅2

d

t

, where P_tP

t

 is the population after t hours, P_0P

0

 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?

P_0=5400

P

0

=5400

The initial population

t=9

t=9

Time elapsed

d=10

d=10

The doubling time

P_t = P_0\cdot 2^{\frac{t}{d}}

P

t

=P

0

⋅2

d

t

P_t=5400\cdot 2^\frac{9}{10}

P

t

=5400⋅2

10

9

Plug in

P_t=10076.7563\approx10077

P

t

=10076.7563≈10077

Use parenthesis in the calculator for the exponent


Related Questions

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Multiply 9 and 5 then multiply by .5 giving you 22.5 so I’d say that’s your best option

What is the slope of this equation?
y = 3x - 4

Answers

Answer:

m=3 is the slope of this equation y=3x-4

Caroline works 18 hours a week at a restaurant and earns $8.25 per hour. She also earns tips, which are 15% of her food sales. In one week, she earned $263.25. Write an equation to find x, her total food sales for that week.

Answers

Answer:

X

Step-by-step explanation:

Answer:

14.28 and 6.75

Step-by-step explanation:

she earns 14.28 per hour and 6.75 each time.

Dylan runs 4 laps around a track in 16 minutes.



a) How many minutes per lap is that?

How many laps per minute is that?

If Lin runs 2 laps at the same rate, how long does it take her?

Answers

A. 4 minutes per lap

help me please !!!!!

Answers

1. Yes because the vertical line intersects the graph in one or less points.
2. No because the inputs repeat (4).

2) The sides of a triangle in cm, are , x , 2x - 5 and 2x - 3. The perimeter of the triangle is 32 cm. Write down an equation for x. *

a) 5X-8=32
b) 4x-5= 32
c) 4X-8=32​

Answers

Answer:A=X x=8

B=x X=9

C=x X=10

Step-by-step explanation:

aye if anyone solves this it be much appreciated
If m∠EBD= 4x + 16 and m∠DBC= 6x + 4, find m∠EBD.

Answers

Answer:

40 degrees:)

Step-by-step explanation:

We have been given a diagram. We are asked to find the measure of angle EBD.

Since ray BD is angle bisector of angle EBC, so measure of angle EBD will be equal to measure of angle DBC.

If a+1=b then b>a create values for a and b

Answers

Answer:

One is a = 2, b = 3 AND another one is a = 11, b = 12

Step-by-step explanation:

They all fit this description. b = 1+a

The number of miles that 10 students have to travel to school is given. 4.6, 2.1, 1.7, 6.1, 0.9, 4.3, 2.0, 6.1, 8.4, 0.3 What is the median number of miles that these 10 students need to travel to school? 2.1 miles 3.2 miles 4.3 miles 6.1 miles

Answers

Answer:

The median is 3.2 miles

Step-by-step explanation:

PLEASE HELP I ONLY HAVE 10 MORE QUESTIONSS

Answers

Answer:

Length

√45 units

Distance

√13 units

Step-by-step explanation:

Here, we want to calculate the length and the distance between the points

To calculate the length, we need the coordinates of the points

These are;

(1,-2) and (4,4)

the length can be calculated using the formula for the distance between two points

Mathematically, that will be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(1-4)^2 + (-4-2)^2

D = √(9 + 36)

D = √45 units

We use the same formula to get the distance between the two given points

that will be;

D = √(5-3)^2 + (-2-1)^2

D = √(2)^2 + (3)^2

D = √13 units

What is the Domain of the graph?, and What is the Range of the graph ? ​

Answers

Answer:

Domain is 0-12 and the range is 0-10

Step-by-step explanation:

The domain is the x values and the range is the y values

Answers:

Domain: [tex]0 \le x \le 12[/tex]

Range: [tex]0 \le y \le 10[/tex]

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

Explanation:

The domain is the set of all possible x inputs. The x axis is along the horizontal, so x refers to the number of minutes. The smallest x can get is x = 0 and the largest is x = 12. To describe everything in between those endpoints, including both endpoints, we write [tex]0 \le x \le 12[/tex]

The range is the set of all possible y outputs. The y axis is vertical so y refers to the distance from home. The smallest distance is y = 0 and the largest distance is y = 10. So we say the range is [tex]0 \le y \le 10[/tex] to describe everything in between 0 and 10, including those endpoints.

Side note: 12 minutes = 12/60 = 0.2 hours. You travel 10 miles in 0.2 hours, so the speed is distance/time = 10/0.2 = 50 mph.

Question 7(Multiple Choice Worth 5 points)
(04.07A LC)
Which equation does the graph below represent?
15
12
9
6
3
2 3 4 5
-5 -4 -3 -2 -1 01
31
-6
.9
-12
-15
y =
y = -3x
y = 3x
y = x

Answers

Answer:

[tex]y = -3x[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the graph equation

To do this, we pick any 3 corresponding points of x and y

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (2,-6)[/tex]

[tex](x_3,y_3) = (-4,12)[/tex]

The equation can then be solved using linear interpolation as follows:

[tex]\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}[/tex]

This gives:

[tex]\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}[/tex]

[tex]\frac{y-12}{x+4} = \frac{-6 -0}{2-0}[/tex]

[tex]\frac{y-12}{x+4} = \frac{-6}{2}[/tex]

[tex]\frac{y-12}{x+4} = -3[/tex]

Multiply both sides by x + 4

[tex](x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)[/tex]

[tex]y - 12 = -3 *(x + 4)[/tex]

Open bracket

[tex]y - 12 = -3x -12[/tex]

Add 12 to both sides

[tex]y - 12+12 = -3x -12+12[/tex]

[tex]y = -3x[/tex]

Your gas bill went up from $125 per month to $150 per month What is the
percent increase of your gas bill?
17%
20%
83%
120%

Answers

20% Is the correct answer for the question

A birthday party has a grab bag for each of the guests. There are 8 bags filled with candy, 5 containing CDs, and 2 grand prize bags with gift certificates. The bags are identically wrapped and shuffled. Joe is first to choose a bag, and Devon is second. What is the probability that Joe and Devon will both choose grand prize bags?

Answers

Answer:

1/105

Step-by-step explanation:

First, the probability that Joe chooses a grand prize bag is 2/15 because there are 2 grand prize bags out of 15 total bags.

Next, the probability that Devon chooses a grand prize bag is 1/14 because if Joe already chose one of the grand prize bags, there is only 1 left out of a total of 14 bags left.

The last step is to multiply those two bags, so [tex]\frac{2}{15} * \frac{1}{14}[/tex] = [tex]\frac{1}{105}[/tex]

What is the distance between the points (4,5) and (8,6)?

Answers

The answer is 4. 123106, I hope this helps!

please help its due today 8p+p=

Answers

The correct answer is 9p if you were to simplify

Technically that would be 9p only because p stand for 1 so 8+1=9.

A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 2 and add 3.


Which would best complete the pattern?
A. 4 x 2 = 8, 8 + 3 = 11, 11
B. 4 + 2 = 6, 6 + 4 = 10, 10
C. 4 = 2, 2 + 6 = 8, 8

Answers

Answer:

A

Step-by-step explanation:

A is the only choice that has all of the steps and in order.

Answer:

sdfg

Step-by-step explanation:

xcvbn

parker was able to pay 56% of his tuition with his scholarship .The remaining $6,057.35 he paid for with a student loan . What was the cost of parkers tuition ?

Answers

Answer:

$13,766.70

Step-by-step explanation:

Since he paid 56% with the scholarship, that means $6,057.35 is 44% of the total tuition

To find the total cost of tuition, divide 6,057.35 by 0.44

6,057.35/0.44

= 13766.70

So, the cost of Parker's tuition was $13766.70

The photography club has 28 members. There are 12 boys in the club.

What is the ratio of boys to girls in simplest form?


3/4

3/7

7/3

4/3

brainlest

Answers

3/4

28-12=16 (so there are 16 girls) so we want b/g which is equivalent to 12/16 they have a their greatest common factor is 4 so we divide both by 4 which comes out to an answer of 3/4

6 pears for $2.88 what is the cost per pears.​

Answers

Answer:

0.48

Step-by-step explanation:

2.88/6=0.48


A fighter jet has traveled 60 miles since take-off. The equation
1945 – 60 can be used to determine the total number of miles
the jet has traveled. In the equation, y represents the number of
miles traveled, and represents the number of minutes traveled.
Which statement best describes the rate of change in the distance
traveled?

Answers

The answer is 3,150

Step-by-step explanation:

You multiply 1350 with 7 and divide it by 3 and you get 3,150 as your answer.

Please put the missing numbers pls irl give brainliest

Answers

Answer: (9 x 10^10) - (4 x 10^10) in scientific notation is 5x x 10^10

Alfredo has 3 times as many sneakers as Jessy. Lucia has 5 more sneakers than Jessy. Together they have 20 pairs. Find the number of sneakers each person has.
please show work

Answers

Answer:

Step-by-step explanation:

H

Answer:

15

Step-by-step explanation: 3x5=15

so thx 4 the points

What is the square root of six divided by seventy five

Answers

0.032

hope this helps

Answer:

0.32 is the answer. to this question

Six segments form two triangles. AB = 3 cm, FE =11cm, CB = 9 cm, DE = 9 cm, CA=11 cm, and FD = 3 cm. (a) Write a triangle congruency statement. (b) What postulate guarantees that these triangles are congruent?​

Answers

That’s is 8cm if u want a


Step-by-step explanation

Enter the correct 4 digit code (no spaces)

Answers

Answer:

9999

Step-by-step explanation:

Answer:

6969

Step-by-step explanation:

Could someone help me with this I’m kinda stressed out ill give out brainliest please don’t answer if you don’t know thank you

Answers

10% of 82.37 is 8.237
Total = 82.37 + 8.237 = 90.607

how do I solve this question ?

Answers

Answer:

x=37 CD=20

Step-by-step explanation:

We know this becuase the two triangles are congruent.

A club deposited $50,000 in a savings account at the beginning of the year. Interest will be paid at a rate of 3% at the end of the year. How much interest will the club receive for a year? Please help!

Answers

They should receive $1500 !

please help me and i love you forever ;)

Answers

Answer:

x = 45°

y = 90°

Step-by-step explanation:

Angles in a Triangle

The sum of the internal angles in a triangle is 180°.

On the other hand, the tick marks on the triangle tell us it's an isosceles triangle, thus the angle formed at both sides of the triangle is x.

Finally, angle x and 135° are a linear pair that always add up to 180°, thus

x = 180 - 135 = 45

x = 45°

The angle y can be found by completing the measure needed to 180°:

x + x + y = 180

y = 180 - 2x = 180 - 90

y = 90°

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