Mathematics High School

A sample of bacteria is growing at an hourly rate of 6% according to the continuous exponential growth function. The sample began with 5 bacteria. How many bacteria will be in the sample after 22 hours.

Answers

Answer 1

Answer:

18 bacteria

Step-by-step explanation:

The formula for Exponential growth is given as:

y = a (1 + r)^t

a = Initial sample size = 5

y = Sample size after time t

r = Growth rate = 6% = 0.06

t = Time in hours = 22

Hence,

y = 5 (1 + 0.06)²²

y = 5 × 3.6035374165783565

y =18.017687083 bacteria

Approximately = 18 bacteria

Therefore, there would be 18 bacteria in the sample after 22 hours

Related Questions

How do you know if something is congruent? (scale Factors)

Answers

example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.

Answer:

Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

Step-by-step explanation:

Use the graph that shows the solution to f(x) = 9(2).
What is the solution to f(x) = g(x)?
Select each correct answer

Answers

Answer:

Step-by-step explanation:

hello :

the first graph : 1  and -1 at second ; 2

the options are
1/4
1/5
1/6
1/12

Answers

1/5 because 60 (the sum) divided by 12 is 5

match the terms to the definition ​

Answers

Answer

1,3,4,2

Step-by-step explanation:

1. the distance from the center of the circle to any point of the circle
2. the distance around the outside of a circle
3. the ratio of the circumference of a circle to its diameter, approximately 3.14
4. the distance across a circle through the center

mary says 1/8 is greater than 1/4 because 8 is greater than 4. is mary's reasoning correct

Answers

Answer:

Mary's reasoning is incorrect.

Step-by-step explanation:

1/8 < 1/4

The perimeter of a rectangular school yard is 428 meters. It is 100 meters wide. How long is it?

Answers

Answer:

i dont think theres engouh info to answer that

Step-by-step explanation:

So first you want to do: 100(2)=200 then you subtract 200 from 428 which =228
Then do 228/2= 114
So the rectangle is 114 meters long

the dot plot shows the number of hours that 40 students studied each week make a statement that describes the overall pattern of the data in the plot. support your statement by describing clusters,gaps and/or peaks

Answers

Answer:

ther is no dot plot

Step-by-step explanation:

BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

median is 8 it's always the middle, play the elimination game

ayudaaAAA DOY CORONA​

Answers

Answer:

uhhhh I dont speak Spanish

Sarah went to a basketball game. She bought a ticket to the game and a bag of
popcorn spending a total of $15.00. Tyler went to a basketball game. He bought a
ticket to the game and 3 bags of popcorn spending a total of $30.00. How much is a
ticket to the game?
o $4.75
o $10.50
O $7.50
O $5.25

Answers

Answer:

10.5

Step-by-step explanation:

what is the lcm of 32 and 14​

Answers

the answer is  224 im pretty sure hope this helps

Yes, the correct answer is 224

If the number of bacteria in a colony doubles every 27 hours and there is currently a population of 2,000 bacteria, what will the population be 54 hours from now?

Answers

6,000
starts at 2,000
27 hours: 4,000
54 hours: 6,000

If a dilation with a scale factor of 5 is performed to ADEF, what will be the
coordinates of the new triangle?
D(-5,-2)
E(-5,3)
F(2,3)
o D'(-25,-10) E'(-25,15) F(10,15)
o D'(-20,-10) E'(-20,15) F'(5,15)
o D'(-1,5) E'(-1,3) F'(5,3)

Answers

Answer: · D'(-25,-10) E'(-25,15) F'(10,15)

Answer:

o D'(-25,-10) E'(-25,15) F'(10,15)

Step-by-step explanation:

In dilations, the scale factor is how many times larger than the new image will be.

Great, that explains a lot.

In other words, multiply the x and y-coordinate by the scale factor.

In this case, the scale factor is 5.

D(-5,-2)

-5 ⋅ 5 = -25

-2 ⋅ 5 = -10

E(-5,3)

-5 ⋅ 5 = -25

3 ⋅ 5 = 15

F(2,3)

2 ⋅ 5 = 10

3 ⋅ 5 = 15

Therefore, the new coordinates are:

D' (-25,-10)

E' (-25,15)

F' (10,15)


A car travels 955.9 km in 8 hours. How far does the car travel in 20.4 hours if the speed of the car remains constant?​

Answers

Answer:

2437 km

955.9km in 8 hours. so every hour the car travels 955.9÷8=119.48 km

119.48×20.4=. 2437.392

find z. explain please

Answers

Answer:

13

Step-by-step explanation:

You need to use pythagorean theorem (a^2 + b^2 = c^2). In this case 5 is a, 12 is b, and z is c. 5^2 + 12^2 = z^2, this ends up as 169 = z^2. Now you find the square root of 169 which is 13.

Step-by-step explanation:

Maybe it is root 5²time 12²=60

BRAINILIEST PLEASE

pls people my brother needs this ik its not for me but still pls.

Answers

Answer:

hey becca did u get yur account thing fixed, ily

Step-by-step explanation:

Find the next term of the following sequence.
9, 6, 4, .....


PLEASE HELP ASAP

Answers

The next term is 8/3

Answer:

[tex]common \: difference \: decreases \: by \: 1\\ next \: term = 4 - 1 \\ = 3[/tex]

Jayesh determines that he needs to sell more than $200 worth of fruit athis produce stand in order to make a profit. Part A.Which inequality represents the fruit sales,s, in dollars, forwhich Jayesh will make a profit?A s< 150 Bs< 200 Cs> 200 Ds> 250

Answers

Answer:

s > 200

Step-by-step explanation:

Note that

> means greater than

< means less than

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

If he needs to sell more than 200, sales has to be greater than 200 = s > 200

how to solve for x? i need help please help fast

Answers

Hi!

x² = 11,2² - 8,5²

x² = 125,44 - 72,25

x² = 53,19 |√

x ≈ 7,3

Which of the following is the solution to the equation 64^(z+4) = 1024

Answers

2^(6*(z+4)) = 2^10

6z + 24 = 10
z = -7/3

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

1/2 I got it right on khan

Answer:

1/2 is the correct answer

Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.

Answers

Answer:

3rd Answer =Option A is the Correct Answer

Step-by-step explanation:

Hi!

3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.

4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.

Hope this helps! I would appreciate brainliest, if not that's okay!!

Briainliest Simplify 15√90/√125
options
9√2
18√5
18√2/5
27√2/5

Answers

Answer:

9√2

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact form:9√2

Decimal form: 12.72792206

Factor the expression completely. 60x^3+50x^5

Answers

Answer: 10x^3(6+5x^2)

can someone please help will give brainleist
pythagorean modeling ​

Answers

Answer:

we have

C=(2,-1)

B=(-2,3)

since

BC is hypotenuse

length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer

Answer:

hi.............,,,,,........

help me with this please and thank you

Answers

Answer:

12.56

Step-by-step explanation:

d = 2r = 2(2 m) = 4 m

C = πd = 3.14 × 4 m = 12.56 m

Answer:

C=12.56 m

Step-by-step explanation:

The radius is 2 m. To find the circumference, you need d, which is the diameter.

The diameter of a circle is 2 times the radius.

d=2*2=4

Now use the formula to find the circumference

C=3.14*4=12.56

can someone please help me

Answers

Answer:

Step-by-step explanation:

f(x) =x2-10x+18 Vertex and vertex form

Answers

Answer:

b. y=( x-5) /2-7 is your answer bro

Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation

Answers

Answer and explanation:

To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:

=x(x-2/x)+x(x+2/x)+x(3)< 3/2

=x-2+x+2+3x < 3/2

=5x < 3/2

x < 3/2/5

x < 3/2×5/1

x < 15/2

x < 7 1/2 or 7. 5

ENGAGEMENT: Is This Enough?
Solomon thinks that this figure has enough information to figure out the values of
a and b.
90°
a
7
Do you agree? Explain your reasoning,

Answers

Answer:

Step-by-step explanation:

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