There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3. 14 for π) Area of a circle = πr2 0. 02 bacteria per square millimeter 0. 42 bacteria per square millimeter 2. 39 bacteria per square millimeter 52. 5 bacteria per square millimeter.

Answers

Answer 1

Answer:

B) 0.42

Step-by-step explanation:

population density=number of people/square units

we plug in 2,100 for the first one but we don't know the second one for that we need the area which is A=π[tex]r^{2}[/tex] so the radius is 40 millimeters so [tex]40^{2}[/tex] =1600 1600*π=5024

2,100/5024=0.417 round it up and it is 0.42

so B) 0.42 is the answer


Related Questions

The restaurant check is $54.50. Mary wants to leave a 20% tip for the server. What is the tip amount?


20 points, I'll give brainliest, SHOW YOUR WORK PLEASE :)

Answers

Answer:

$10.90

Step-by-step explanation:

Turn your 20% tip into a decimal (0.20) and multiply that by the overall check. $54.50 x 0.20 = $10.90

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. a regular hexagon has an apothem with length 14 centimeters and a perimeter of 96 centimeters. what is the approximate area of the hexagon? 224 cm2 336 cm2 448 cm2 672 cm2

Answers

The area of the hexagon is the sum of triangles in it. Then the area of the hexagon is 672 square cm.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.

We know that the area of the hexagon is the sum of triangles in it.

Area of hexagon = 6 × area of a triangle

The length of a side of the hexagon will be

6 × Side = 96

     Side = 16

The area of the triangle will be

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} *14*16\\ \\Area \ of \ triangle = 112 \ cm^2[/tex]

Then the area of the hexagon will be

Area of hexagon = 6 × 112

Area of hexagon = 672

The area of the hexagon is 672 square cm.

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:

672 took the test

Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is positive. When oil is moving into the small tank, the flow rate is negative. The large tank begins with 600 gallons of oil. The flow rate is recorded as –4 gallons per minute. After a period of 32 minutes, how much oil has been moved and to which tank?

Answers

Flow is given as, F = - 4 gallon per minute into small tank.

( Since, flow is negative )

Volume of oil in large tank, V = 600 gallons.

Now,

Volume of oil has been moved :

[tex]v = F \times t\\\\v = -4 \ gallons/min \times\ 32\ min\\\\ v = -128\ gallons[/tex]

Therefore, 128 gallons of oil has been moved to small tank.

Hence, this is the required solution.

Answer:

128 gallons, into the small tank.  I think its the second option for the last box, not 100 percent sure but i did the question so yea :D

Step-by-step explanation:

as lead crime investigator you have been called to a crime that is on a bearing of 016degree from your lab and 342degree from the police station
from your initial investigation there are six suspects. using the table below , find their locations.

Answers

Step-by-step explanation:

In India, the first step towards criminal proceeding is an investigation by the police. The investigation is the exclusive domain of the police and can not be curtailed in normal circumstances. The main purpose of an investigation is the identification of the offender so as to serve him with punishment for the crime done by him in accordance with the provisions contained under law. According to Section 156 of the Code of Criminal Procedure, the police have unfettered powers to investigate into a cognizable offence. The term cognizable offence is any act or omission committed by a person under any law in force which is punishable and is considered to be a crime. The police have the authority to arrest any person who has committed a cognizable offence. Beside Criminal investigation, there are other types of investigations which become the part of the life of an investigator. Some of the types of investigation are as follows:

Civil investigation: These are the investigations which are carried on during the civil suits in which violation of law is generally not included and the question of money or property is to be settled;

Negligence investigation: These types of investigations are conducted either by the plaintiff’s counsel to prove the liability of the defendant or by the defendant’s attorney to refute the claims of the plaintiff. It is accomplished by the use of surveillance, interviewing the witnesses;

Corporate investigation: In Corporate investigations the investigator monitors the business of the company and also provides the information about the fraud within or outside the company;

General investigation: It is like an umbrella term including a great variety of investigative activities. These activities may be conducted for different purposes like the determination of the location of witnesses, dishonest employees, fraud etc.

ILL GIVE BRAINLIEST!!
Select all of the expressions that are equivalent to
4x – 5 +6.

4x + (-5)+(6)
4x - 6+5
4x + 1
5x
5 + 6 - 4x

Answers

Answer:

4x + (-5) + (6)

4x + 1

hope that helps

Please help me i need to complete this by tomorrow

Answers

Answer:

Step-by-step explanation: Need to work out your scale factor which is 1.5.

8 * 1.5 = 12

CE = 12

12 * 9 = 108/2 = 59 that is the area of triangle ACE

8 * 6 = 48/2 = 24 that is the area of triangle BCD

ACE - BCD = ABDE

59 - 24 = 35cm^2

How did you decide whether to group this as a function, or not a function?
plz plz help

Answers

Answer:

This is a function because it passes the vertical line test

Step-by-step explanation:

What is the slope of a line that is parallel to y = 1x and goes through the point (1, 9).​

Answers

Both lines have the same slope of 1

The unknown line is y=x+8

Look at the photo for the graph

Which of the following numbers is between 5 and 10 on a number line? Select two that apply.

Answers

Answer:

it would be any number that is less that ten but greater than 5

ABCD is a quadrilateral. Work out the length of CD. Give your answer to 3 significant figures

Answers

Check the picture below.

[tex]sin(35^o)=\cfrac{\stackrel{opposite}{12}}{\underset{hypotenuse}{BD}}\implies BD=\cfrac{12}{sin(35^o)} \\\\[-0.35em] ~\dotfill\\\\ \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{sin(52^o)}{BD}=\cfrac{sin(102^o)}{CD}\implies CD=\cfrac{BD\cdot sin(102^o)}{sin(52^o)} \\\\\\ CD=\cfrac{\frac{12}{sin(35^o)}\cdot sin(102^o)}{sin(52^o)}\implies CD=\cfrac{12\cdot sin(102^o)}{sin(35^o)\cdot sin(52^o)}\implies CD\approx 26.0[/tex]

During the first year of operation, a company produced 8.4 x 10 9 reams of paper. During the second year, the company produced 5.6 times the number of reams of paper that it produced during the first year. Which expression represents the number of reams of paper the company produced during the second year?

Answers

Using proportions, it is found that the expression that represents the number of reams of paper the company produced during the second year is:

[tex]4.704 \times 10^{10}[/tex]

What is a proportion?

A proportion is a fraction of a total amount.

In the first year, the company produced [tex]8.4 \times 10^9[/tex] reams, and in the second year, 5.6 times that, that is, we multiply the amount by 5.6, hence:

[tex]5.6 \times 8.4 \times 10^9 = 47.04 \times 10^9 = 4.704 \times 10^{10}[/tex]

Which is the desired expression.

More can be learned about proportions at https://brainly.com/question/24372153

A submarine starts at surface of the
water. After 25 minutes, it is 2750 feet
below sea level. If the submarine is
traveling at a constant rate, what is the
submarine's elevation change per
minute?

Answers

Answer:

110

Step-by-step explanation:

2750ft/ 25mins = 110 ft per min. I hope this helps.

Punctele o, a, b, c sunt coliniare in aceasta ordine , iar segmentele oa, ab si bc au lungimile exprimate in cm , prin numere naturale pare consecutive . Se stie ca m este mijlocul segmentului ac si om = 11 cm . Calculati : a) lungimea segmentului oc b) distanta dintre n , mijlocul segmentului ob , si punctul m

Answers

Answer:

???

Step-by-step explanation:

What is the volume of this cylinder?


Use ​ ≈ 3.14 and round your answer to the nearest hundredth.


32 yd

14 yd


cubic yards

Answers

Answer:

11253.76

Step-by-step explanation:

GIven Information;

Height = 14 yd

Diameter = 32 yd

Note;

Radius = d/2

Since Radius = d[Diameter] /2 then 32/2 = 16 yd

Solve;

Volume of cylinder formula;

= [tex]\pi r^2h[/tex]

Using = 3.14

[tex](3.14) (16^2)(14)[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3.14\cdot \:14=43.96[/tex]

[tex]=16^2\cdot \:43.96[/tex]

[tex]=256\cdot \:43.96[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:43.96\cdot \:256=11253.76[/tex]

[tex]=11253.76[/tex]

[RevyBreeze]

Answer:

[tex]\huge\boxed{\sf 11253.76\ yd^3}[/tex]

Step-by-step explanation:

Height = h = 14 yd

Diameter = d = 32 yd

Radius = d/2 = 32/2 = 16 yd

Volume of cylinder:

[tex]= \pi r^2 h\\\\= (3.14)(16)^2(14)\\\\= (3.14)(256)(14)\\\\= 11253.76\ yd^3\\\\\rule[225]{225}{2}[/tex]

Factor −5
out of −10a−25

Answers

Answer:

-5(2a+5)

Step-by-step explanation:

Just divide all the numbers by -5, slap a parentheses on and your done.

Find the surface area of the composite figure
Rectangle 4cm 4cm 12cm
Triangle 6cm

Answers

Answer: 256

Step-by-step explanation: The triangle needs to be multiplied 6x4 then 4 again for the sides of the triangle and divided by two. As for the rectangle you multiply the front which is 48 and the front is the back so 48+48 then the fours which are the bottom that then equals 16 do not use that for the top the top does not count because that is what the shapes are connected by then finally 48 for the top and bottom then add 48+48+48+48+16 to get your answer.

Solve system of equations

3x+6y=3
X+2y=1

Answers

Answer:

has infinite solution

Step-by-step explanation:

(x,y)=(1-2a,a) where a is an element of any real number


Your grandfather is a coin collector. He has 50 coins of gold or silver separated into 7
bags. Gold coins are in packs of 6 and silver coins are in packs of 8. How many bags of
each coin does he have?
4 bags of gold and 3 bags of silver
2 bags of gold and 5 bags of silver
3 bags of gold and 4 bags of silver
5 bags of gold and 2 bags of silver

Answers

Answer:

c

Step-by-step explanation:

a = 48 coins   4 x 6 = 24    3 x 8 = 24     24 + 24 = 48

b = 52 coins   2 x 6 = 12     5 x 8 = 40     40 + 12 = 52

c = 50 coins   3 x 6 =18      4 x 8 = 32      32 + 18 = 50   correct

d = 46 coins   5 x 6 = 30    2 x 8 = 16       30 + 16 = 46

Mr. Baker worked 42 hours and earned $504.00. How much did he make per hour

Answers

Answer:

The answer is 12 remainder 6 but if it is a decimal form question it is 12.6

Answer:

the answer s 12$

Step-by-step explanation:

because if you do 504 divided by 42 you get 12 and if you do it backwards

42x12 you will get 504

If there are 13400 students at Rocky Valley College and 1/4
take speech, how many students take a speech at rocky valley college

Answers

Answer:

three thousand three hundred and fifty.3,350

Step-by-step explanation:

the question given was:1/4 take a speech, so how many?: one fourth, if you divide 13,400 by 4 its 3,350. that is one fourth  of 13,400. So, if you add 3,350 four times, it would be 13,400.

Hope this helped!<3

Question: You are playing your favorite video game, Hero's Quest. In the game, you can complete missions to earn experience points. You may complete a mission as many times as you would like, but each time you do, you only receive 80% as much experience as the previous time. The first time that you complete Mission A, you earn 1000 experience, points. The second time you complete it, you earn 800 experience points. How many times can you complete the mission before you earn less than 400 points? Explain your answer​

Answers

Using a geometric sequence, it is found that you can complete the mission 5 times before you earn less than 400 points.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, the amount of points after n times is a geometric sequence with [tex]a_1 = 1000, q = 0.8[/tex], hence the equation is:

[tex]a_n = 1000(0.8)^{n-1}[/tex]

You will earn less than 400 points when:

[tex]a_n < 400[/tex]

Hence:

[tex]1000(0.8)^{n-1} < 400[/tex]

[tex](0.8)^{n-1} < 0.4[/tex]

[tex]\frac{0.8^n}{0.8} < 0.4[/tex]

[tex]0.8^n < 0.32[/tex]

[tex]\log{0.8^n} < \log{0.32}[/tex]

[tex]n > \frac{\log{0.32}}{\log{0.8}}[/tex]

[tex]n > 5.1[/tex]

You can complete the mission 5 times before you earn less than 400 points.

More can be learned about geometric sequences at https://brainly.com/question/11847927

What is the lcm of 7 and 21​

Answers

Answer:

21

Step-by-step explanation:

7x3=21

21x1=21

EASY

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!

Answers

Option D is graph .

Graph of all 4 functions attached

Black one is the 4th one

Answer:

[tex]y=\sqrt[3]{x+3}+3[/tex]

Step-by-step explanation:

From inspection, we can see that the base graph is [tex]y=\sqrt[3]{x}[/tex]

(As the graph of [tex]y=\sqrt{x}[/tex] is only valid for x ≥ 0 ⇒ y ≥ 0)

The center of [tex]y=\sqrt[3]{x}[/tex] goes through the origin (0, 0)

From inspection, we can see that the center of the curve is now at (-3, 3)

So the graphed function has been shifted 3 units left:

[tex]\implies y=\sqrt[3]{x+3}[/tex]

and shifted 3 units up:

[tex]\implies y=\sqrt[3]{x+3}+3[/tex]

SOMEONE HELP ITS DUE TODAY PLEASE!!!

Answers

i believe the answer would be c, because you leave the base alone and work on the exponents first. when dividing terms with exponents you subtract the exponents, so the equation would be something like -9-(-12) which is the same as -9+12 which equals 3, so the answer should be c, 3^3. hope this helps!

A sum of 300 pounds into the ratio of 1:2:2. How much is the smallest share?

Answers

Answer:

60

Step-by-step explanation:

Summing the ratios gives 1+2+2=5

300/5 = 60

(1 x 60) + (2 x 60) + (2 x 60)

(60) + (120) + (120) = 300

Hence the least share is 60

The other two shares are equal which is 120

Solve for n. 5(n+4)=50

n = 5

n = 6

n = 8

n = 10


Please help by today!
Thank you <3

Answers

Answer:

n = 6

Step-by-step explanation:

5(n + 4) = 50

5n + 20 = 50

5n = 30

n = 30/5

n = 6

Answer: N = 6
5(n+4) = 50
5n + 20 = 50
5n = 30
N = 6

Question 7 Finally, select point D and move it around the circumference of circle A. Which type of polygon is formed by the line segments joining points A, B, and C?

Answers

Answer:

Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.

Step-by-step explanation:

PLATO

Answer:

Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.

Plz help need this last question

Answers

Answer:

a = -√3/3

b = 2√3/3

Step-by-step explanation:

Finding the slope of the tangent at C  by finding the derivative:

x^2 + y^2 = 1

2x + 2y y' = 0

2y y' = -2x

y' = -2x / 2y = -x/y

So the slope = - 1/2 / √3/2

= -1/2 * 2/√3

= -1/√3

= -√3/3

Using the point-slope form of a straight line

y - y1 = m(x - x1)

y - √3/2 = -√3/3(x - 1/2)

y - √3/2 =  -√3/3 x +√3/6

y =  -√3/3 x + √3/6 +√3/2

y =  -√3/3 x + 4√3/6

y = -√3/3x +  2√3/3

5 to the 4th power times 10 to the 4th power

Answers

Answer:

6250000

Step-by-step explanation:

Answer:6250000

Step-by-step explanation:

what day is it
brainliest

Answers

Answer: Friday, October 23.

Answer:

Friday

Step-by-step explanation:

Other Questions
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(note: q equals the total quantity of bikes produced by all factories. ) 22% as a fraction in it lower form