Dr. Osborne is studying a bacterial colony with a population of 30,000 bacteria. The colony is growing 5% per hour. How many bacteria will the colony contain in 4 hours?

Answers

Answer 1

Answer:

36,465.1875

Step-by-step explanation:

The colony grows by 5% each hour, so you take the current total of bacteria, (100%) and add 5%. Every hour, you multiply the current total by 105%.

Hope this helps :)


Related Questions

"Twelve less than two-thirds a number is 48"What is the number?

Answers

2/3x - 12 = 48
2/3x = 60
2x = 180
x = 90

Answer:

-54

Step-by-step explanation:

1.) 12-2/3x=48

2.) Multiple by 3 on both sides

36-2x=144

3.) Move the constant on the other side by subtracting it.

-2x=144-36

4.) Subtract numbers

-2x=108

5.) Divide both sides by -2

-2=108

÷2 ÷2

6,) Then you get x=-54

If Marie were to paint her living room alone, it would take 3 hours. Her sister Patricia could do the job in 6 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Answer: 2

Step-by-step explanation:

the rate Marie paints the room= 1/3

The rate her sister paints the room= 1/6

working together their combined rate is 1/3+1/6 =9/18

the time for then to work together= 9/18

= 2 hours.

Mikey is reading a 739-page book. Today he started reading on page 95; he had started reading last week. If he reads for x hours at 18 pages per hour, which equation represents how long it will take him to finish the book?

Answers

Answer:

= 35 hrs and 33 minutes

= 1 day and 11 hours and 33 minutes

Step-by-step explanation:

739 - 95 = 640

640 / 18 = x

x = 35.555555555 (you get what i mean)

35 hours and 33 minutes

Hope this helps

plzz mark brainlest

An EPA contractor needs to test the concentration of a substance in ten samples of the ground water. Seventy samples were


already collected from a single source over the course of a week at regular intervals. The contractor wants to test samples


evenly over the course of that time frame.

Answers

Answer:

Systematic sampling

Step-by-step explanation:

An EPA contractor needing to test the concentration of a substance in ten samples out seventy samples provided form a single source at regular time intervals.

For the contractor to effectively carry out the testing he has to employ a Non-probability system of sampling which is called Systematic sampling, because in systematic sampling we can assume the population size (x ) which in this case is 70 and the sample size( n ) to be 10

He will have to select ;  ( x / n )^th of the sampling frame for best results

2. Count by 5¢ to complete the
pattern.
1
30¢, 35¢, 404,
Pls helpppp

Answers

10,15,20,25
45,50,55 there

need some help just want to check if my answer is correct​

Answers

Step-by-step explanation:

side A+(8x+2)=x²+12x

side A=x²+12x-8x-2

side A=x²+4x-2

side B+(x-6)=2x²-4

side B=2x²-4-x+6

side B=2x²-x+2

What is the equation of the line that passes through the point (-3, 4) and has a slope of 1/3?​

Answers

Answer:

y = 1/3x + 5

Step-by-step explanation:

y - y1 = m(x - x1)

y - (4) = 1/3(x - (-3)

y - 4 = 1/3(x + 3)

y - 4 = 1/3x + 1

y = 1/3x + 1 + 4

y = 1/3x +5


The art teacher is going to have students
paint a mural on the wall of the school.
The building is 632.5 feet long, and there
are 73 students. Part of the wall can't be
painted because it has doors in it; this
part of the wall is 12 feet long. How wide
is the area that each student will have to
paint?

Answers

Answer:

8.5 feet

Step-by-step explanation:

632.5-12= 620.5

620.5/73=8.5

Help me (7th grade math)

Answers

Answer:

The relationship is proportional. The slope or the constant of proportionality is 5. So the answer is the second option.

Step-by-step explanation:

Plz help I have no clue what the answer is

Answers

Answer:

it's D

Step-by-step explanation:

12x-12x would give us 0, so x would be eliminated

2 × x × x × 3 × y × y × y
how do i do this?

Answers

Answer:  [tex]6x^2y^3[/tex]

Explanation:

The numbers 2 and 3 multiply to 6, so that's why the final coefficient is 6.

The x terms multiply to [tex]x*x = x^2[/tex]

The y terms multiply to [tex]y*y*y = y^3[/tex]

The exponent tells us how many copies of the base to multiply.

So overall, [tex]2*x*x*3*y*y*y = 6x^2y^3[/tex]

HELPP ME EMERGENCY


Six eggs weigh 240 grams. What is the constant of proportionality of
grams per egg?

Answers

Answer:

K=40

Step-by-step explanation:

240/6=40 grams and egg

check 6x40=240

Answer:  K= 40

Step-by-step explanation: divide 240 by 6 :)

240/6=40

Does anyone know the answer

Answers

Answer:x = 12,5

using thales's theorem, we have:

[tex]\frac{15}{15+36}=\frac{20}{6x-7}\\\\<=> 6x-7=\frac{20.(15+36)}{15}=68\\\\<=>x = \frac{68+7}{6}=12.5[/tex]

Step-by-step explanation:

45x15= and 45 divided by 15

Answers

Answer:

45x15+675 45 divided by 15 is 3

Step-by-step explanation:

Can you find the slope-intercept of the line? Thank you!

Answers

Answer:

y = x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-0}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = x + 2 ← equation of line

Can yall plz help me answer this!!!

Answers

Answer:

k = 2.5

Step-by-step explanation:

So we start off with: 2.5(4k+2) = 12k

Let's first distribute.

10k + 5 = 12k

Now let's subtract 10k from both sides.

5 = 2k

Now let's divide both sides by 2.

2.5 = k

y varies inversely as X. y=4 when x=2. Find y when x=16

Answers

Answer:

y = 32 (Verified Answer) ✅

Step-by-step explanation:

We will use a proportion to solve this.

[tex]\frac{2}{4} = \frac{16}{y}[/tex]

Now, we cross multiply.

2y = 16 x 4

2y = 64

Now, we must divide by 2 to get the correct value for y

y = 64/2

y = 32

Now, we can use the same proportion to check our answer.

2(32) = 16 x 4

64 = 64 ✅

9514 1404 393

Answer:

  y = 1/2

Step-by-step explanation:

The inverse relation means ...

  y = k/x

We can find k from ...

  xy = k = (2)(4) = 8

Then when x = 16, we have ...

  y = 8/x = 8/16 = 1/2

y is 1/2 when x = 16.

How will the solution of the system y > 2x + Two-thirds and y 2x + One-third?

Answers

Answer:

Hope that this helps answer your question

Step-by-step explanation:

thanks for the points♡

Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

Step-by-step explanation:

The sample response :D

If pqrs is a parallelogram, find the measure of 113
5.67
18
67

Answers

Answer:

∠PSR = 113°

Step-by-step explanation:

Two angles in a parallelogram that are next to each other are supplementary. That means that they add up to 180°, so 7x-13+4x-5 = 180. Solve for x.

7x-13+4x-5=180

        11x-18=180

            11x=198

               x=18

Now plug x back into the angle that opposite from the one you are looking for (they are equal)

7(18)-13 = ∠PSR

 126-13 = ∠PSR

       113 = ∠PSR

Please help me out!​

Answers

Answer:

D

Step-by-step explanation:

A-59

B-10

C-19

D-24

what is 5÷1000 rounded to the nearest hundredth i need help ASAP​

Answers

0.005. If i'm wrong, can ou tell me the answer choices?

Answer:

0.005

Step-by-step explanation:

3(x + 1) = −2(x − 1) − 4

Answers

x= -1
i think, hope this helps!

Please I really need help no one has been helping me lately

Answers

Answer:

should be option one:)

Step-by-step explanation:

Answer:

Pls mark me brainliest!

Step-by-step explanation:

It is option 2!

solve
3t – 6 = t – 2

Answers

Answer:

t = 1

Step-by-step explanation:

4t = 4

t = 1

I need help this is due really soon

Answers

S: 1,9
T: 4,9
U: 4.-1

sorry if this is wrong it’s been a while since i’ve done this.
Hope this helps! :)

Will mark brainliest

Answers

2.21 is the answer :-/

Find the value of k given that both points lie on a line passing through the origin.

(k,−24) and (5,40)


PLEASE HELP ASAP if you do thank u and have a blessed day

Answers

Answer:

[tex]k=-3[/tex]

Step-by-step explanation:

Since the line passes through the origin, it must be a proportional/direct variation equation.

Direct variation equations have the form:

[tex]y=ax[/tex]

Where a is the constant of proportionality.

Let’s solve for a. We know that when x=5, y=40. So:

[tex]40=5a[/tex]

Divide both sides by 5:

[tex]a=8[/tex]

Therefore, our equation is:

[tex]y=8x[/tex]

We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:

[tex]-24=8k[/tex]

Divide both sides by 8:

[tex]k=-3[/tex]

Hence, the value of k is -3.

The bill for lunch was $7

Answers

Answer:

how much money did they have ?

Step-by-step explanation:

Answer:

dang thats alot .............

Keeping in mind that a function’s rate of change is a measure of how fast the function is increasing or decreasing, what does the slope of a linear function indicate?

Answers

Answer:

Required Answer:-

The function shows negative

Can someone help me with 5-6

Answers

Answer:

B, C

Step-by-step explanation:

I love slope

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