A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began
with 10 bacteria, how many bacteria are there after 5 days? Use the exponential growth
function f(t) = ger and give your answer to the nearest whole number. Show your work.

Need the answer ASAP

Answers

Answer 1

Answer: 2430 bacteria.

Step-by-step explanation:

When we have a quantity A, and we have an increase of the X%, the new quantity can be written as:

A + (X%/100%)*A

In this case, we have A = 10 bacteria.

And X% = 200%.

Then if we start with 10 bacteria.

After one day, we will have:

10 bacteria  + (200%/100%)*10 bacteria

= 10 bacteria + 2*10 bacteria = 3*10 bacteria.

After another day, we will have:

3*10 bacteria + (200%/100%)*(3*10 bacteria)

3*10 bacteria  + 2*(3*10 bacteria)

3*(3*10 bacteria)

10 bacteria*(3)^2

We already can see the pattern here.

After t days, we will have:

10 bacteria*(3)^t.

This is the equation f(t) we wanted:

f(t) =10 bacteria*(3)^t

after 5 days, we will have:

f(5) = 10 bacteria*(3)^5 = 2430 bacteria.


Related Questions

What is the point-slope form of a line with a slope -3 that contains the point (10,-1)

Answers

y + 1 = -3(x - 10)

Here's the formula:

y - y1 = m(x - x1)

Substitute numbers accordingly:

y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)

x1:  and 10 goes to the x1 spot

m:  -3 belongs in m

Help help help help help

Answers

I gotta take a big śhit

Find the slope of the line that passes through the points (1,-5) and (5. 7).

Answers

Answer:

y= 5.7x-10.7

Step-by-step explanation:

the formula is y=mx+b

To find the slope of a line passing through 2 points use the
gradient formula
Using the formula

M=y2–y1/X2–x1
Where (x1,y1) and (x2,y2) are 2 points
Let (x1,y1)=(1,-5) and (x2,y2)=(5,7)

M=(7-(-5)/(5–1)=7+5/4=3

M=3

Consider the system of liner equations 2y=X+10
3y=3x+15

Answers

The x-value is 0 and the y-value is 5

A surveyor has taken- if you know this please help

Answers

Step-by-step explanation:

the distance is equal to... 800²+700²-2×800×700×cos70=733,4

Yesterday 170 guests at a hotel for room service, and 255 guests did not call for room service. What percentage of the guests at the hotel call for room service?

A - 60%
B - 15%
C - 40%
D - 85%

Answers

Answer: 40%

Step-by-step explanation:

170+255=425 total guests

170/425=0.4

The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.

Answers

Answer:

its a the sum of the areas of Square N and Square L is equal to the area of Square K.

Step-by-step explanation:

What is the least number n with the property that, in every group of n people, there are at least three people who are all friends

Answers

Answer:

hello your question is incomplete attached below is a the complete question

answer : n = 5

Step-by-step explanation:

lets consider N to be 5

To prove that the least number 'n' = 5

we will represent this information in a graph as vertex

Black edge = Friends

Blue edge = not Friends

From the attached diagram any  vertex contains 0,1,2,3,4 black lines and 4,3,2,1,0 blue lines

attached below is an explanation related to the choice of n = 5

considering n = 5 is satisfied by the explanation given

please help asap!!!!

Answers

Answer:

7 units

Step-by-step explanation:

how earth and venus the same?

Answers

Answer:

Venus is often named as Earth's twin because both worlds share a similar size, surface composition and have an atmosphere with a complex weather system. ... Both planets have almost the same size and density and Venus is only a 30% closer to the Sun than Earth.

Step-by-step explanation:

kxkcxn jxn. jxk. kx. xnx xn n nxnksj dxcnxc. x jxnn.

Find the slope of the line that contains the pair of points.
(3, 4) and (4,1)
The slope is

Answers

Answer:

-3

Step-by-step explanation:

1-4/4-3 is -3/1 which is -3

rearrange p=s+dgh ??????????

Answers

Are you solving for s????????

Christopher picks a marble at random. without putting the first marble back, he picks a second marble at random. is it independent or dependent

Answers

The answer is dependent

Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants. How many different outfits can Alphonsus put together with his new clothes?​

Answers

Answer:

I think he can do 12 outfits.

Step-by-step explanation:

I hope this helps. Sorry if I am wrong, I am not the greatest at math.

The different outfits that Alphonsus can put together with his new clothes will be 12.

What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that Alphonsus who went for shopping for new school clothes. He bought 4 t - shirts and 3 pairs of pants.

Assume that the different outfits that Alphonsus can put together with his new clothes be [x].

[x] = 4 x 3 = 12

[x] = 12

Therefore, the different outfits that Alphonsus can put together with his new clothes will be 12.

To solve more questions on functions, expressions and equation modelling, visit the link below -

brainly.com/question/17421223

#SPJ2

PLEASE HELP I’LL GIVE BRAINLIEST TO WHO EVER ANSWERS FIRST CORRECTLY

Use the rational zeros theorem to list all possible rational zeros of the following.

h(x)=-3x^4+5x^3-8x^2-3x+2

Be sure that no value in your list appears more than once.

Answers

Answer:

Step-by-step explanation:

[tex]h(x)=-3x^{4} +5x^{3}-8x^{2} -3x+2[/tex]

roots:±1, ±[tex]\frac{1}{3}[/tex], ±2, ±[tex]\frac{2}{3}[/tex]

Verbally describe what each ordered pair in the first row of your table (when s = 10) means in terms of the situation. Use complete sentences in your answer.

Answers

The description of what each ordered pair means is; as described below

How to interpret Ordered Pairs?

The table is missing but from online sources, we can say the following;

An ordered pair such as (2,4), is a short form of writing two variables, such as x = 2 and y = 4. The order of the numbers in the pair is important because x always comes before y.

An ordered pair is simply a composition of the x coordinate called abscissa while the y coordinate is called the ordinate.

Thus, the Ordered Pair is (x,y)

Where,

x is the distance measure of a point from the primary axis "x"

y is the distance measure of a point from the secondary axis "y"

In the Cartesian plane, the point where the two lines meet at “0” is the origin.

Read more about Ordered Pairs at; https://brainly.com/question/1528681

#SPJ1

Figure A is dilated by a scale factor of 1 to form Figure B.
What is the length of x?
4 inches
Figure A
Figure B
2 inches
16 inches
16 inches
8 inches

Answers

Answer:

C. 8 inches

Step-by-step explanation:

Note. The original question is attached.

Solution:

Scale factor is 1/2 and the corresponding side has a length of 16 inches.

The value of x is:

x = 1/2*16 = 8 inches

Correct option is C

A man walks five miles east, and then walks five miles west. What is the total distance from his starting point?

Answers

Answer:

0 miles

Explanation:

Step 1) -----> 5 miles west

Step 2) <----- 5 miles east

So in conclusion I think that the man came back to where he started.

Compass:

                          N

                    W          E

                            S

Answer:

15 miles.

Step-by-step explanation:

5 + 10 = 15

5 represents the fact that he walked 5 miles east, and then if he were to walk from there towards the west, that would be 10 miles because if its 5 miles from his starting point to the east, then it would be double from the east to the west so if you add 5 miles and 10 miles, you should get a total of 15 miles.

I hope this helps you :D

A man wants to zipline from the top of a 20 meter building to an island 50 meters away. How long does the zipline wire need to be?

Answers

Answer:

50 meters

Step-by-step explanation:

the island is 50 meters away

Answer:

About 54 meters or 53.8 meters

Step-by-step explanation:

Pythagorean theorem a^2+b^2=c^2

20^2+50^2=53.8^2

Simplify.
91-^ + 6-^

Answers

7i is the answer to your question

This is another 2 step. Please be sure to answer the question fully and show all of your work! I don't like reporting people.

Answers

Answer:

JR = 29∠JLM = 25°

Step-by-step explanation:

Diagonals of the parallelogram bisect each other

Note. The first question is repeated as A and B

A) KR = 1/2KM

Substitute and solve for x:

x + 7 = 1/2(3x - 5)2x + 14 = 3x - 53x - 2x = 14 + 5x = 19

Find JR

JR = 1/2JL JR = 1/2(4x - 10) = 2x - 5 = 2*19 - 5 = 34 - 5  = 29

B)

∠LJM ≅ ∠JLK as alternate interior angles∠JKL ≅ ∠JML as opposite angles of parallelogram

Interior angles of the triangle sum to 180°:

m∠JLK + m∠LJK + m∠JKL = 180°m∠JLM = m∠JLK = 180° - (56° + 27° + 72°) = 25°

Find the circumference of the given circle. Use 3.14 as an approximation of T.
(7in.)
A. 31.4in
B. 43.96in
C. 27in
D. 25in​

Answers

Answer21.98

Step-by-step explanation:

By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE

Answers

Answer:

B. -84

Step-by-step explanation:

Taking the determinant of the matrices we will have;

= 4x(5y) - 2x(3y)

= 20xy - 6xy

= 14xy

Given x = -2 and y = 3

Determinant = 14(-2)(3)

Determinant = -28*3

Determinant = -84

Your car can drive 320 miles on a tank of 31 gallons. How many gallons are needed to drive 1,070 miles?

Answers

Answer:

104 gallons

Step-by-step explanation:

320/31=10.323 miles per gallon

1070/10.323=103.66 <---round to whole number

104 gallons needed

Divide: 8a^8–20a^6 +2a^4/
4a^3

Answers

Answer:

This comes out as 2a⁵ - 5a³ + a / 2

Step-by-step explanation:

We could use long division for this but since the denominator is a single term, we can just divide each term by that individually

[tex]\frac{8a^8 - 20a^6 + 2a^4}{4a^3} \\\\= \frac{8a^8}{4a^3} - \frac{20a^6}{4a^3} + \frac{ 2a^4}{4a^3} \\\\= 2a^5 - 5a^3 + \frac{1}{2}a[/tex]

A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?

Answers

Answer:

4.5833feet

Step-by-step explanation:

Given the elevation of a water pipe as 4 7/12 feet

Expressing as decimal

4 7/12  

= 4 + 7/12

=  4 + 0.5833

= 4.5833

Hence the elevation of the pipe expressed as a decimal is 4.5833feet

If line q has a slope of -3/8, what is the slope of any line perpendicular to to q?

Answers

Answer:

The slope of line perpendicular to line q is 8/3.

Step-by-step explanation:

Given that:

Slope of a line q is -3/8

Slope is the steepness of any line.

Let,

x be the slope of line perpendicular to line q.

The product of slopes of two perpendicular lines is equal to -1.

[tex]\frac{-3}{8}x = -1[/tex]

Multiplying both sides -8/3

[tex]\frac{-8}{3}*\frac{-3}{8}x=-1*\frac{-8}{3}[/tex]

x = 8/3

Hence,

The slope of line perpendicular to line q is 8/3.

one third of a number, w, reduced by 7?

Answers

Answer:

4

Step-by-step explanation:

The answer is 4 I think hope this helps!

A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that sells for $10.45 per square foot and entails a $149 installation fee. What is the total pricing for the carpeting with an 8.0% sales tax

Answers

9514 1404 393

Answer:

  $6,797.09

Step-by-step explanation:

The area of the floor is ...

  (21 ft)(28 ft) = 588 ft²

Then the cost of the carpet material is ...

  (588 ft²)($10.45/ft²) = $6,144.60

The subtotal with installation fee is ...

  $6,144.60 +149.00 = $6,293.60

Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...

  1.08 × $6,293.60 = $6,797.09 . . . total price

t - 2/3 = 5/6 pls help
6th grade

Answers

Answer:

t =3/2 im in 7th ;)

Other Questions
An employee works 22 days per month. If they work an average of 844 hours per day, howmany hours do they work per month? what made van goghs work so important? Suppose that material scientists are testing a new alloy that has remarkably large coefficients of thermal expansion. A sample of the alloy is formed into a thin, uniform, solid disk with diameter 2.00 cm when at room temperature. If the temperature of the disk is increased by an amount T the diameter of the disk increases by an amount D. a. Trueb. False What were some positive things that came out of Viji's painting class? Is this an INDEPENDENT CLAUSE or a DEPENDENT CLAUSE?John will bring the meat.A-independent clause OrB-dependent clause Which of the lines below best supports one way the loss of his brother changed Lolly'sperspective? (RL.8.1)a. Partly because of these two thugs trailing me now, but more because I knew Jermainewouldn't be here to protect my neck this time. (paragraph 1)b. "I need an excellent Christmas gift," I said. One for my mother, and another one for her, um,friend. And for my father. But I don't have much money." (paragraph 19)c. "When you're a little kid in Harlem, you can pretty much go anywhere and do anything as long asyou're careful." (paragraph 29)d. "You got to start worrying about crews. Crews are like cliques. Groups of mostly boys, andsometimes females, who hang out together." (paragraph 31) Why is so much energy "lost" between trophic levels? It does not just disappear, what is it used for? Describe a situation in which military rule would take precedence over civilian authority according to the Courts ruling. An object has a volume of 825 cm3 and a density of 13.6 g/cm3. Find itsmass |2n|-4=8 solve for n Wo Thinks Charlie Gillespie is the most amazing person on this earth? Help me plzzzzzzz!!!!! ASAP!!!!!!! 3 1/2 divided by 3/4 PLEASE HELP ASAP!!!! WILL GIVE BRAINLIEST Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.2. Write an equation to represent the number of pages Jesse has read.Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.3. Write the system of equations using your answers from questions 1 and 2.4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.5. Solve the system of equations. Show your work. La familia de Jaime no es muy grande su pap se llama Francisco Amal y su mam, Rosa Sabater. Francisco y Rosa son esposo y esposa. Tienen tres hijos la mayores Carmen que tiene 16 anos Jaime, su hermano, tiene 12 anos, y Daniela hermana pequena, tienes anos El padre de Francisco se llama luan, y su madrester Juan y Ester con los abuelos de Carmen, Jaime y Daniela Jaime y sus hermanos son los nieto de Juany Ester y los sobrinos de Plar, sutla, la hermana de Francisco Pilar esta casada con Pablo y tienen dos hijos Marla y Luis Maria y Luis son los primos de Jaime y de sus hermanas Complete the sentences using the information from the reading a Francisco es uno de Rosa Rosa es la de Francisco b. El de laime se llama Franco Par es la Daniela es la 1. Marla y Lusson de Dansa d. Francisco y Rosa tienen tres Juan yster tienen anco de laine se llaman luan ys Karl works at Moe's grocery. This year Karl was paid $30,000 in salary, but he was allowed to purchase his groceries at 15 percent below Moe's cost. This year Karl spent $2,040 to purchase groceries, costing Moe $2,400. The groceries were worth $3,600. What amount must Karl include in his gross income Which of the following statements is true?OA. Chemical reactions can either absorb thermal energy or release thermal energy.Chemical reactions can only absorb thermal energy.OC.Chemical reactions can neither absorb thermal energy nor release thermal energy.OD.Chemical reactions can only release thermal energy. etj.Which of the following is equivalent toE+f/a-d =b/a AtmosphereBOceanLandWhich arrow or arrows represents a change of state from a liquid to a gas caused by thesun's energy?A. arrow AB. arrow BC. arrow A and arrow BD. arrow B and arrow C Write these words in ABC order why, Who, when, where, what, how, because, should, from, by, there, people,