(PLZ NEED HELP) The doubling time of a bacterial population is 10 minutes. After 80 minutes, the bacterial population was 80000. _____
Using your rounded answer for the initial population above (do not round your growth rate), find the size of the bacterial population after 5 hours.____

Answers

Answer 1

Answer:

Initial population = 313

Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]

Step-by-step explanation:

Let initial population = [tex]x[/tex]

It is given that population gets doubled every 10 minutes.

Population after 10 minutes = [tex]2x[/tex]

Population after 20 minutes = [tex]2^{2} x[/tex]

:

:

Population after 80 minutes = [tex]2^{8} x[/tex] and it is given as 80000.

[tex]\Rightarrow 2^{8} x = 80000\\\Rightarrow x = \dfrac{80000}{256}\\\Rightarrow x = 313[/tex]

So, initial population is 312.5 = ~313

To find, population after 5 hours i.e. 5 [tex]\times[/tex] 60 = 300 minutes

Population after 300 minutes =

[tex]2^{30} x\\\Rightarrow 2^{30} \times 313\\\Rightarrow 3.36 \times 10^{11}[/tex]

So, the answers are:

Initial population = 313

Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]


Related Questions

Function g can be thought of as a translated (shifted) version of f(x)=x^2.


PLEASE HELP I NEED THISSS!!!

Answers

Answer:

g(x) = x² - 3

Step-by-step explanation:

A quadratic function has been given as,

f(x) = x²

If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,

g(x) = x² - h

From the graph attached, h = 3 units (shift of 3 units downwards)

Therefore, g(x) = x² - 3 will be the translated version of f(x).

PLEASE HELP ME WITH MY MATHS HOMEWORK BELOW
if you answer it correctly i will rate you 5 stars and brainiest

Answers

Answer:

a) 52%

b) 7

Step-by-step explanation:

Total no of grids = 25

Shaded grids = 13

[tex]a) \\Percent \; of \: Shaded\: grids = \frac{13}{25} \times 100 = 13\times 4 = 52\%\\\\b)\\80\% \: of \: 25 =0.80\times 25 = 20\\No \; of \: squares\: more\: than \: 13 = 20 - 13 = 7[/tex]

Which equation is equivalent to

(1/3)^x= 27^X+2

Answers

Answer:

x=-1½

Step-by-step explanation:

1/3^x=27^x+2

3^-x=3^3x+6

-x=3x+6

-6=3x+x

-6=4x

x=-1½

If sin 30º = cos(3x), then x=_

Answers

Answer:

x = 20º

Step-by-step explanation:

we know that  sin x = cos(90-x)

Hence

sin 30º = cos(90 - 30)º

sin 30º = cos 60º

hence sin 30º can be also written as cos 60º

Also, as given

sin 30º = cos(3x)

therefore

cos 60º =  cos(3x)

as we have cos on both side then angle for both side will be same

60º =  3x

=> 60º / 3 = x

=> x = 20º

Then  x = 20º is answer.

What is the inverse of the function f(x) =1/4x – 12?

Answers

Answer:

f(x) = 4x + 48

Step-by-step explanation:

Replace the positions of x and y and isolate y to find the inverse of a function.

y = 1/4x – 12

x = 1/4y – 12

x + 12 = y/4

4(x + 12) = y

4x + 48 = y

f(x) = 4x + 48

PLZ HELP meeeeeeeeeeeeeeeeeeeee

Answers

please see the attached picture

Hope it helps

Good luck on your assignment,

MY KEY BROKE AND ITS NOT UNNY

The probability of a biased coin landing on heads is 2/7 complete the tree diagram

Answers

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

Step-by-step:

The first flip numbers will always add up to 1 so you do

1 - 2/7= 5/7

now it gets easy...

The second flip  head will be 2/7 because it is a biased dice and the second flip tail will be 5/7

This also applies for the bottom 2: 2/7 head, 5/7 tails

hope this helped :)

Charlie is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2 gallons of ketchup, which he distributes evenly among 15 bottles. How much ketchup goes in each bottle? Write your answer as a proper fraction or mixed number.

Answers

Answer:

A = 2/15 gallons per bottle

Step-by-step explanation:

Given;

Total volume of ketchup V = 2 gallons

Number of bottles N = 15

The amount of ketchup per bottle A;

A = total volume of ketchup ÷ number of bottles

A = V/N

Substituting the values;

A = 2gallons ÷ 15bottles

A = 2/15 gallons per bottle

Answer:

2/15

Step-by-step explanation:

2 divided by 15 is the same or equal to 2/15

example: 2 divided by 15= 2/15

help me out please!!!!

Answers

Answer:

Answer (e)

Step-by-step explanation:

Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4.  Only Answer (e) corresponds to that.  Try letting x = 1.  y is zero, correct?  Try letting x = -4.  y is undefined, correct?

How do I solve this problem?

Answers

Answer:

x = 12

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(6+x) *6 = (4+23) * 4

(6+x) *6 = 27*4

6(6+x) = 108

Divide each side by 6

6+x =18

Subtract 6 from each side

6+x-6 =18-6

x = 12

The answer will be x=2

solve for x
8x+6=10 please help me ASAP

Answers

Answer:

0.5

Step-by-step explanation:

8x+6=10

8x=10-6

8x=4

x=4/8=0.5

Answer
0.5

Step-by-Stet explication
8x=4
x=1/2 or 0.5

Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

Answer:

I think that C) and D)

Step-by-step explanation:

I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.

look at the diagram which angle is adjacent and congruent to angle AOE

Answers

Answer:

Angle EOC.

Step-by-step explanation:

You can observe the figure in the image attached.

Notice that angle AOE is 90°, that is, it's a right angle. (The little red square indicates its perpendicularity).

Now, the adjacent and congruent angle to AOE is angle EOC, because they are on a straight angle, they are supplementary angles and also adjacent angles.

Right triangle LMN has vertices L(7, –3), M(7, –8), and N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8). Which rule was used to translate the image? (x, y) → (x + 6, y – 5) (x, y) → (x – 6, y + 5) (x, y) → (x + 8, y – 11) (x, y) → (x – 8, y + 11)

Answers

Answer:

d

Step-by-step explanation:

The rule that was used to translate the image is (x, y) → (x – 6, y + 11)

Translation is a way of moving an object from one location to another on the xy- plane

Given the coordinate of the right triangle LMN with vertices L(7, –3), M(7, –8), and N(10, –8)

If the triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8), the translation used will be:

L'(1, 8) = (x, y) - L(7, -3)

(X, Y) =  L'(1, 8) +  L(7, -3)

(X, Y) = (1+7, 8+3))

(X, Y) = (-6, 11)

Hence the rule that was used to translate the image is (x, y) → (x – 6, y + 11)

Learn more here: https://brainly.com/question/1046778

Can anyone help me solve this problem plz need need help asap!

Answers

Answer:

25

Step-by-step explanation:

(-5)^2+10(-5)(2)+25(2)^2

=25+(-100)+100

=25

Hello! For part B your answer will be (x+5y)^2 hope this helps!

What is the inverse of the function f(x) = 4x + 8

Answers

Answer:

let f(x)= y

y = 4x+8

x= 4y + 8

4y = x - 8

y = (x - 8)/4

Hope this helps.

Answer:

x/4 - 2 = y

Step-by-step explanation:

soo switch x and f(x)

x=4y+8

then bring it back to like how it was before

x-8=4y

then

(x-8)/4=y

then simplify

x/4 - 8/4 = y

which can then be simplified to

x/4 - 2 = y

To determine the annual yield (rate of return) on an investment, divide the income from the investment for the year by the original amount invested. Look at the example. Then, calculate the annual yield for the other investment

Answers

Savings account: $4 / $200 = 0.02 x 100 = 2%

Bond: $85 / $1000 = 0.085 x 100 = 8.5%

Real Estate: $6,400 / $40,000 = 0.16 x 100 = 16%

The vertices of a rectangle are A(-2, 4), B(-2,6), C(3,6), and D(3, 4). Which expression
shows how to find the length of the diagonal?

Answers

Answer:

Third option correct

Step-by-step explanation:

The diagonal is the distance between 2 of the vertices, and to end.

So the option we shall choose will contain 2 of the vertices in a distance between points equation.

Mathematically, the distance between two points is given by;

D = √(x2-x1)^2 + (y2-y1)^2

The correct option is the third option.

This is because it takes into consideration two of the vertices which are points A and point C

Answer: c the third one

Step-by-step explanation:

Marcus saved money from her allowance for some books she wanted to buy. To determine how much money she will save, she used the function rule: y = 6x. Find f (7) A. $13 B. $36 C. $42 D. $49

Answers

Answer:

$42

Step-by-step explanation:

Substitute:

Y = 6x

F = 7

So, Y = 6 * 7 = 42

Answer: 42

Step-by-step explanation:

URGENT PLEASE HELP ME I SUCK AT GEO

Answers

Answer: 225°

Step-by-step explanation:

Each rotation is 45°

From C to H, there are five rotations

5 * 45 = 225°

Answer:

D: 225 degrees

Step-by-step explanation:

You want to first find the value of each angle that comes in together at point P. To do this, you take 360 degrees/8 degrees. 360 since that is a central angle and 8 because there are 8 congruent angles that make up the central angle. You should get 45 degrees. Then since it takes 5 "45 degree turns" to get onto H, you would do 5 times 45 to get 225.

Factor the polynomial completely.
(y - 8)^2 - 16

Answers

Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

find the value of k for which the quadratic equation 2x^-kx+=0 have equal roots​

Answers

Answer:

I'll email it to you

why is x^2-8x+20 always positive?

Answers

Answer:

cause it is

Step-by-step explanation:

it just is, sorry i can't help. maybe bc there are more positive functions then negative ones?

I need help with how to solve things like this. The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. the distance between the Elm and Symphony Stations is how many miles?

Answers

Answer:

8 miles OR 8.0 miles

find the value of each trigonometric ratio. Part 1​

Answers

Answer:  [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]

Which function grows at the fastest rate for increasing values of x? h(x)=2x f(x)=8x2−3x g(x)=19x p(x)=5x3+3

Answers

g(x)=19x is the function that’ll grow at the fastest rate.

The function p(x) = 5x³ + 3 grows at the fastest rate for increasing values of x.

What is a function?

A function is a relation between two sets one is called domain and the other one is range.

Given functions are:

h(x) = 2x

f(x) = 8x² − 3x

g(x) = 19x

p(x) = 5x³ + 3

Here, p(x) = 5x³ + 3 is the only cubic function.

As the degree of the function p(x) is highest among all.

Therefore, this function p(x) grows at the fastest rate for increasing values of x.

Learn more about function here:

https://brainly.com/question/5607159

#SPJ2

Please answer correctly !! Will mark brainliest !!!!!!!!!

Answers

Answer:

6 seconds

Step-by-step explanation:

h(x) = 0 m , when the ball is on the ground.

h(x) = - (x-2)² + 16

0 = - (x-2)² + 16

(x-2)² = 16

√(x-2)² = +/- √16

(x-2) = 4  ,        (x-2) = - 4

x - 2 = 4  ,         x = -2

x = 6

We can use only positive solution.

..solve the following as fast as
you can using the properties
of additition and multiplication
a)365+94+35
b)896+423+104
c)379×25×4
d)89×125×8

Pls answer fast

Answers

Answer:

i hope this will help you

Step-by-step explanation:

a 365+94+35

=494

b 896+423+104

=1423

c 379×25×4

=45480

d 89×125×8

=89000

PLEASE HELP ME According to this diagram, what is cos 23°?
67
13
5
90°
12
12
O
A.
B.
13
12
0
D.
13
E.
5
12
OF.
12
13

Answers

Answer:

F. [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

[tex]cos = \frac{adjacent}{hypotenuse}[/tex]

The hypotenuse of a right triangle is the angle that is opposite and not touching the 90 degree angle. In this case, the hypotenuse is 13.

The adjacent side is the side that is touching the angle but not the hypotenuse. That makes the adjacent side in this case 12.

That means that  [tex]cos = \frac{12}{13}[/tex].

I hope this helps!

Answer:it’s f.12/13

Step-by-step explanation:

big brain

£750 is divided between Bridget, Caroline & Sarah so that Bridget gets twice as much as Caroline, and Caroline gets three times as much as Sarah. How much does Caroline get?

Answers

Answer: £225

Step-by-step explanation:

Amount shared = £750

Let Sarah's share = y

Therefore,

Caroline's share = 3y

Bridget's share = 2(3y) = 6y

Mathematically,

y + 3y + 6y = £750

10y = £750

y = £750/10

y = £75

Caroline's share = 3y

Caroline's share = 3 × £75 = £225

Caroline's share is £225

Other Questions
PLEASE HELP! match the items.a. now that we have elite leaders, we have a new social class which is like:b. surplus farming products was the real key to complex civilizations because theyc. power brokers become government when they grow so much so they must:d. writing is created to:specialization leads to a need for government because: f. the first real city was: match to:1. a new food chain. elites, a very small part of society on top, people with specialized skills following, then farmers, peasants and finally slaves. 2. sumer, in southern Mesopotamia.3. allowed for specialization which leads to many different jobs (like potters, soldiers, merchants), which leads to a need to oversee and govern those products and jobs.4. potters need markets, soldiers needed government to hire them for services, merchants needed courts, town dwellers and farmers needed someone to oversee irrigation. 5. pay others to enforce their will and their laws. at this point we have our first true states and true governments6. keep track of products and rules, eventually changing from numbers and symbols to words or images with bigger meaning until literature becomes a major part of a civilizations culture. C3H7-C(=O)-NH2 IUPAC NAME ? A 110-kg football player running at 8.00 m/s catches a 0.410-kg football that is traveling at 25.0 m/s. Assuming the football player catches the ball with his feet off the ground with both of them moving horizontally, calculate: the final velocity if the ball and player are going in the same directio The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern? True or False? The news has always been diverse. A. True B. False Simplify this equation. 4m(2mn - 8m) +3n (5n-6mn)Please help me and show working as well Figure 3:1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total1. 92. 123. 18 What was the biggest concerns theAntifederalist held during the ratificationprocess?A. The creation of a strong central governmentB. The need for state rights to be preservedC. Where the nation's capitol would be built Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending? pls can someone help me Ford Motor Company is discussing new ways to recapitalize the firm and raise additional capital. Its current capital structure has a 20% weight in equity, 10% in preferred stock, and 70% in debt. The cost of equity capital is 14%, the cost of preferred stock is 10%, and the pretax cost of debt is 9%. What is the weighted average cost of capital for Ford if its marginal tax rate is 30%? which statement best describes the function below? \f(x)=2x^2-3x+1 The last time Larissa checked her credit score, it was 760, and her only credit event since then has been applying for a store credit card. Which of these is most likely to be her credit score now? A. 770 B. 780 C. 750 D. 760 A 2.575 g piece of gold (specific heat = 0.129 J/gC) at a temperature of 75C is placed into cold water at 10C. If the gold loses 10.0 J of energy, what is its finaltemperature in the water? Enter your answer to thenearest whole number of C. What do the variables in the Hardy-Weinberg equation represent?frequency of the homozygous recessive genotype -->frequency of the heterozygous recessive genotype -->frequency of the recessive allele -->frequency of the dominant allele -->frequency of the homozygous dominant genotype -->pp2qq22pq Someone help me ASAP please Letts Corporation manufactures and sells a single product. The company uses units as the measure of activity in its budgets and performance reports. During January, the company budgeted for 7,000 units, but its actual level of activity was 6,970 units. The company has provided the following data concerning the formulas to be used in its budgeting: Fixed element per month Variable element per unit Revenue $ 30.40 Direct labor $ 0 $ 6.10 Direct materials 0 8.70 Manufacturing overhead 46,700 1.80 Selling and administrative expenses 27,800 0.20 Total expenses $ 74,500 $ 16.80 The selling and administrative expenses in the planning budget for January would be closest to: The slope of AB is -2/5. Segments CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify. Who is known for her efforts to help women gain social, economic, and political powers in the second wave of the womens movement?Hillary ClintonSusan B. AnthonyBetty FriedanSandra Day OConnor Lulu Labwrecker carefully pipets 25.0 mL of 0.525 M NaOH into a test tube. She places the test tube into a small beaker to keep it from spilling and then pipets 75.0 mL of 0.355 M HCl into another test tube. When Lulu reaches to put this test tube of acid into the beaker along with test tube of base she accidentally knocks the test tubes together hard enough to break them and their respective contents combine in the bottom of the beaker. Is the solution formed from the contents of the two test tubes acidic or basic? What is the pH of the resulting solution? What equation results from completing the square and then factoring? x^2+2x=9a. (x+2)^2=8b. (x+1)^2=8c.(x+1)^2=10d.(x+2)^2=10