A circular Petri dish has a diameter of 10 centimeters. If the dish contains 2.450 bacteria, what is the
population density of bacteria in the dish?
(1) 31 bacteria per square centimeter
(2) 42 bacteria per square
centimeter
(3) 48 bacteria per square centimeter
(4) 51 bacteria per square centimeter​

Answers

Answer 1

Answer:  31 bacteria per square centimiter.

Step-by-step explanation:

The correct number of bacteria in the question is 2,450.

Hi, to answer this question we have to apply the next formula:

Area of a circle = π x (diameter/2) ^2

Replacing with the values given:

A = π x (10/2) ^2

A = π x (5) ^2

A = π x 25 = 78.54 cm2

Next, we have to divide the number of bacteria (2,450) by the area of the dish  

2450 / 78.54 = 31.19 = 31 bacteria per square centimiter.

Feel free to ask for more if needed or if you did not understand something.  


Related Questions

Find the value of x in each case. Give reasons to justify your solutions!

Q ∈ PR

Answers

Answer:

x = 52 Degrees

Step-by-step explanation:

Welp, here I go again

According to the Exterior Angle theorem Angle R + Angle S = Angle PQS

So simplified that'd be (90 + 34) = x + 72

124 = x + 72

x = 124 - 72

x = 52 Degrees

Which slope intercept form equation is equivalent to the standard form equation -x + 2y = -8?
A)y = (1/2)x - 4
B)y = (-1/2)x - 4
C)y = -x - 4
D)y = -2x - 8
E)y = 2x - 8

Answers

Answer:

ahhhh is it a

Step-by-step explanation:

Equation is equivalent to the standard form equation -x + 2y = -8 is option A.

What is a linear equation?

A linear equation has one or two variables.

No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.

explanation:

-x + 2y = -8

= 2y = -8 + x

y = -8/2 + 1/2x

y = -4 +1/2x

solving this we will get the valve of Y if x is given.

Learn more about linear equations here:-https://brainly.com/question/16099437

#SPJ2

Simplify the radical expression.
- V8n•2 12

Answers

The answer is in the photo below

The value of the radical expression is A = -3n√12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = -√8n² ( 12 )

On simplifying , we get

A = -√108n²

Taking the value of n outside , we get

A = -n√108

On further simplification , we get

A = -n3√12

A = -3n√12

Hence , the value of the expression after simplification is A = -3n√12

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ7

The radius of a circle is 7m. Find the circumference to the nearest tenth(urgent)

Answers

Answer:

The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.

Step-by-step explanation:

First, we must know the formula for finding the circumference of a circle.

[tex]Circumference = d\pi[/tex]

We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.

7 * 2 = 14

Now, let's plug in 14 into our formula. We will 3.14 for pi.

[tex]Circumference=(14)\pi[/tex]

[tex]Circumference=43.96[/tex]

This number rounded to the nearest tenth is 44.

Answer:

Answer is 44 m

Answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Simplify: (–2x+y)(-58 y)
O 10x10,
10xv2
10xy
10x10 ,

Answers

Answer:

Choice C

Step-by-step explanation:

[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]

Hope this helps!

Answer:

10x7 y 4

Step-by-step explanation:

i just answered it

HELP EASY PHYSICS QUESTION URGENT :))
A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally. What is the horizontal distance the ball travels before returning to the ground?

a.15.5 m

b.17.5 m

c.19.5 m

d.21.5 m

Answers

Answer:

The horizontal distance the ball travels before returning to the ground is 19.5 m

Step-by-step explanation:

Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]

Where u is the initial velocity

g is gravity

We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.

So, u = 15 m/s

[tex]\theta = 30^{\circ}[/tex]

g = 10

So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]

Hence The horizontal distance the ball travels before returning to the ground is 19.5 m

which statements correctly describe the association between the variables A and B ? select each correct answer.

Answers

The answer should be b or a I think it’s a because I ddI Thai

(URGENT)use the vectors to determine two dot products

Answers

u = 9 i - 6 j

v = -3 i - 2j

w = 19 i + 15 j

uv = (9 i - 6 j) • (-3 i - 2j)

Distribute the dot products:

uv = 9*(-3) (i • i) + 9*(-2) (ij) + (-6)*(-3) (j • i) + (-6)*(-2) (jj)

i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have

uv = 9*(-3) + (-6)*(-2) = -27 + 12 = -15

In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.

uw = 9*19 + (-6)*15 = 81

Answer:

A I believe

Step-by-step explanation:

Edge2021

How do you convert a decimal into a mixed number 10.5

Answers

Answer:

10[tex]\frac{1}2}[/tex]

Step-by-step explanation:

10.5 represents a whole number of 10 and a leftover .5 value.

.5 represents one half

the fraction for one half is 1/2.

leaving you with 10[tex]\frac{1}{2\\}[/tex]

It would be 10 1/2 because .5 represents 1/2 and u keep the 10 the same

simplify 2[3-5(2+1)2+5]
the last 2 is 2nd

Answers

Answer:

uydfg

Step-by-step explanation:

hkbchjsbchvuhc

Answer:

-44 im pretty sure

Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4 (x minus 8) minus 2 x Which explains whether Trina is correct? A. Trina is correct because the two sides of the equation are equivalent. B. Trina is correct because the two sides of the equation are not equivalent. C. Trina is not correct because the two sides of the equation are equivalent. D. Trina is not correct because the two sides of the equation are not equivalent.

Answers

Answer

The answer is C. Trina is not correct because the two sides of the equation are equivalent.

Step-by-step explanation:

1.  solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

-6x + 32 = - 6x + 32

0 = 0

This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

Hope This Helps :p

C. Trina is not correct because the two sides of the equation are equivalent

I just took the quiz on edge

Pls help me it’s emergency

Answers

2x + 2x +x = 5x
100% divided by 5x = 20%
x = 20%

A) 20%
B) blue

It’s blue because 2x is more than x giving it a higher probability


AABC is translated 6 units up and 3 units left to create
AA'B'C'. If vertex A is located at (-1, 2), what are the
coordinates of A'?
(5-1)
(-4, 8)
(2, -4)
(-7, -1)

Answers

Answer:

-4,8

Step-by-step explanation:

If vertex A is located at (-1, 2) then the coordinates of A' is

What is Translation?

A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. One illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape. Every point in the shape is moved in the same direction and by the same amount.

We have,

The triangle is translated 6 units up and 3 units left.

If vertex A is located at (-1, 2).

To Translate 6 units up we have to add 6 to the y coordinate.

and, to translate 3 units left we have to subtract 3 from the x coordinates.

So, the coordinates after translation is

A (-1,2)  -->  A' (-4,8)

B (1,5)  -->  B' (-2,11)

Learn more about Translation here:

https://brainly.com/question/17485121

#SPJ7

Find the missing angles in the figure below.

Answers

Answer: The answer is A. Just check the only answer with y=z.

Answer:

First option is right.

Step-by-step explanation:

w=78 (vertically opposite angles)

l=82 (vertically opposite angles)

M= 180-64=116 (linear pair)

sorry im not sure how to find y and z

Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions? –5 –3 3 4

Answers

Answer:

-5

Step-by-step explanation:

For a quadratic equation to have two real number solutions, the discriminant must be positive. The discriminant of a quadratic equation is:

[tex]b^2-4ac[/tex]

This means that b^2 must be larger than 4ac. Since in this case 4ac is 4(1)(5)=20, b must be -5 out of the answer choices given. Hope this helps!

Answer:

A. -5

Step-by-step explanation:

using soh cah toa find length of WX and round to the nearest tenth of a foot?

Answers

Answer:

The length WX is about 14 feet.

Step-by-step explanation:

This problem involves finding the adjacent side to a known acute angle in a right-angle triangle, therefore, the trigonometric function that we use is that of the tangent of the angle:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(31^o)=\frac{8.4}{x}\\x=\frac{8.4}{tan(31^o)}\\x=13.9799\\x \approx 14[/tex]

Therefore, the length WX is about 14 feet.

The answer is 14 feet listen to the guy above me

Is there a way to find figure out a function with just the X & Y intercepts. I know there are convertors to find the X & Y intercepts using a function that you'd already have, but I need to do the opposite.

Basically I need to find a function based off Inputs & Outputs. (If that makes sense).

Answers

Answer:

Step-by-step explanation:

yes, since that are 2 points:

y-int is (0, y)

x-int is (x, 0)

since you need only two points for a function with no restrictions, we can use y and x intercepts as points

What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

Answers

Answer:

(x - 2)^2 + (y + 1)^2 =  26

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

Answer:

(x-2)²+(y+1)²=26

Step-by-step explanation:

(x-2)²+(y+1)²=26

distance formula for radius

√(3-2)²+(4--1)² = √26

(x-h)²+(y-k)²=r²


1. Which region has the highest population?

2. Which region has the lowest population?

3. Which range (in millions of people) on the chart contains
the greatest number of regions; 0-3, 3-6, 6-9, 9-12, 12-15 or 15-18?

4. Which regions contain more than 3 million males?

5. Does any region have significantly more females to males
in it?

6. What is the difference (to the nearest million) between the
biggest populated region and the next biggest populated
region?

Answers

all I know is for #2 greenland

write a reply to this letter informing the immediate steps that would be taken to solve the problem.

complain against improper garbage collection.

I would like to bring into your attention a problem that is faced by the residence of this area .we have noticed that there is no propose schedule of collection of garbage for the past few months .the original schedule day to collect garbage is on every Friday but this seems to miss this day most of times.
because of that we have faced a lot of problems on rainy days there is a bad odour in an around the area and there is a risk of spreading of diseases .
so please be kind enough to look into this matter as soon as possible .

*will give the brainliest!!​

Answers

HELLO MATE

HERE IS YOUR ANSWER

CAN YOU PLEASE INBOX ME ??

Which equation represents the graphed function?
HELP ASAP

Answers

It is the first option

Answer:

The answer is A.

Step-by-step explanation:

Since the graph is a downward slope, we want to make the 'x' variable a negative. If we pretend that the graph goes up, then it goes up once, being the denominator, and right three times, before being the numerator. This gives you 3/1, which simplifies to 3. The Y intercept where the graph crosses the Y axis is 0,3, which since 3 is the Y variable, that's what we're going with. Henceforth, A is your answer.

Identify the vertex of the parabola plssss..!!!!!!

Answers

Answer:

the vertex is (4,-1)

Factor the greatest common factor.
-30k^6 + 9k^5 - 21k^4

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

b

2

=

(

a

+

b

)

(

a

b

)

where  

a

=

k

2

and  

b

=

1

.

9

(

36

k

6

+

k

5

k

2

)

The GCF is -3k^4
-30k^6+9k^5-21k^4= -3k^4(10k^2-3k+7)

From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *
It’s not 17 or 1.8 I have tried and those are wrong

Answers

Answer: 122 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of depression, the opposite side is the height of the window above the ground, and the adjacent side (x) is the distance between the neighbor's fence and the house.

Replacing with the values given:  

Tan 7 = 15/x

x = 15/tan 7

x = 122 ft

Feel free to ask for more if needed or if you did not understand something.  

whar does it mean that one object has more density than the other object.
pls i need this it is due in not long i put 31 pts for who answers pls.​

Answers

Density is determined by an object's mass and volume. If two objects take up the same volume, but have one has more mass, then it also has a higher density. ... It is about how heavy something is compared to the same amount (volume)

Which answer is correct ?

Answers

Answer:

C the table and the equation

Hope this helps :)

PLEASE HELP! ITS DUE TODAY! PLEASEEEE

Answers

Answer:

if i'm not mistaken its variation

pretty sure it's the variation

HELP PLEASE!!! What is the best description of the transformation shown?

Answers

Answer:

reflection over the x-axis

Answer:

Reflection over the x axis

Step-by-step explanation:

The image is a mirror image across the x axis.  Think of it as folded across the x axis.  It looks identical

Find the volume. :D (MARKING BRAINLIEST)

Answers

Answer:

720 cubic units

Step-by-step explanation:

Answer:

360 cubic units

Step-by-step explanation:

volume of prism = area of base * height of prism

The base is a triangle with base = 6 ad height = 8

area of triangle = bh/2

V = bh/2 * height of prism

V = 6 * 8/2 * 15

V = 360 cubic units

6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve
an equation to find the number of seats that need to be added to the theater to accommodate all the people.

Answers

Answer:

The number of seats needed is:

1889

Step-by-step explanation:

To identify the number of seats you need add in the theater to accommodate all the people, you can write a simple equation where you subtract from all people need to be seated (15,340), the seats already there are (13,451), how I show below:  

NS = x - y

Where:

NS = Number of seats that need to be added. x = People need to be seated in the theater. y = The seats there.

Replacing the equation with the values:

NS = 15,340 - 13,451 NS = 1,889
Other Questions
Veronica wants to check her work after evaluating -108 -(-6). What steps can she follow to verify her answer please help me out, and find the volume i dont know how to do this, if you can please explain how to do it as well Which is enough information to prove that line s is parallel to line t This recipe makes 20 flapjacks. How much of each ingredient is needed to make 30 flapjacks by following this recipe? Recipe: Makes 20 flapjacks 140 g margarine 120 g sugar 100 ml syrup 240 g oats 50 g raisins Answer pleaseeee ASAP Can someone show me how to get x for both ions always have the same electronic structure as elements in which group of the periodic table? Peter and his friends __________ to school by bus. (go) Solve: 2 ln 3 = ln(x - 4) x = 9 x = 10 x = 13 what is -14x-7 idk I have tried everything Identify a transformation of the function f(x) = sqrt(x) by observing the equation of the function g(x) = sqrt(x) + 1 Read this passage from The Monkeys Paw. How is the third person omniscient point of view established?Without, the night was cold and wet, but in the small parlour of Laburnum villa the blinds were drawn and the fire burned brightly. Father and son were at chess; the former, who possessed ideas about the game involving radical chances, putting his king into such sharp and unnecessary perils that it even provoked comment from the white-haired old lady knitting placidly by the fire.We know what all of the characters are thinking.The comment by the old lady is not given. The conflict is established right away. We know what the situation is both inside and outside of the house. Raising more sustainable fish would require choosing fish species such as____?A. Tilapia that eat algae and plantsB. Tuna that eat other fishC. Catfish that eat fishmealD. Carp that eat fertilizerE. Trout that can be easily caught Calculate the firms WACC (using 2018 numbers). (You will need to collect information on the long-term debt and common stock equity from the Balance Sheet. The firm has no preferred stock). Use the WACC to calculate NPV and evaluate IRR for proposed capital budgeting projects. Assume the projects are mutually exclusive and the firm has the money available to fund the project A 7.5% percent annual coupon bond with 20 years to maturity, selling for 104 percent of par. The bonds make semiannual payments. What is the before tax cost of debt? If the tax rate is 40%, what is the after-tax cost of debt? The firms beta is 1.2. The risk-free rate is 4.0% and the expected market return is 9%. What is the cost of equity using CAPM? My question is 3x + (2 4x) What is d, the common difference, in the arithmetic sequence 100, 98, 96, 94, 92, ...?-1 2 .-2 100 Jace is an executive at a large but decentralized corporation that uses the balanced scorecard. It would be reasonable for her to suggest using scorecard cascading to help her large company more effectively ensure that individuals throughout the company support its overriding strategy.A) TrueB) False 1.. Which of the following best summarize the passage? A. The diminishing numbers of chimney swift can be reversed by simple conservation efforts B. Chimney swift rely entirely on masonry chimneys to survive during their early migration C. Prefabricated chimneys are the one thing that threatens the future of the chimney swift D. the number of chimney swifts in the world has been slowly declining since the 1970s 2. Which of the following can be inferred from the information in the passage? A. Logging industry production dramatically increased around 1970. B. Changes in home design and home heating occurred in the late 1970s. C. The way we tracked chimney swift populations changed in the 1970s. D. The chimney swift's adaptability was severely hindered around 1970s. 3. The first paragraph in the passage on chimney swifts includes this description: "...large colonies of hundreds, or even thousands, of individuals form tornado-like funnels." Why does the author include this in the passage? A. It proves the author is an expert in bird studies B. It provides the reader with an engaging image C. It establishes the passage as a work of fiction D. It offers supporting evidence for the claim 4. Based on the passage, which of the following statements is true? A. The author provides facts to support the main idea B. The author uses an informal style that appeals to readers C. The author has an extensive background in bird studies D. The author relies on first-hand observation of chimney swift behavior 5. Which of the following lists support the main idea of the passage? A. Chimney swifts appear in North America in summer, migrate to the tropics in winter, and give birth in the spring B. Logging and deforestation, changes in the ways we heat our buildings, and chimney capping have robbed the chimney swift of its preferred roosting sites C. The small, slender bird known as the chimney swift migrates in large numbers, can be seen only at dusk, and raises its young in the tropics D. Metal-lined chimneys, chimney towers, and reforestation efforts will ultimately result in the growth of the chimney swift population 6. Which of the following conclusions can swift population 6. Which of the following conclusions can the reader make from the passage? A. Metal flumes are inserted in masonry chimneys to prevent birds, such as chimney swifts, from nesting in them B. Chimney swifts can easily adapt roosting behaviors to any structure made of the proper material C. Chimney swifts are nocturnal birds whose large numbers are evident in the size of their colonies D. Moving in large chipping flocks is a natural protection against predators Chimney swifts are small, slender birds that have become a symbol of summer for many. They usually appear in North America during warm, summer months as they make their way to more tropical sites for the winter. They are recognized most often as spectacular, chirping flocks moving through the sky in synchrony. Chimney swifts can be seen most vividly at dusk when large colonies of hundreds, or even thousands of individuals form tornado-like funnels as they descend into the chimneys. Unfortunately, the size of the colonies we see is misleading. Though the numbers may seem remarkable, chimney swift populations have been declining sharply since the 1970's due primarily to habitat loss. Unlike most birds, chimney swifts cannot perch or stand upright, so they require long, hollow spaces that are enclosed to provide safe roosting and nesting sites. Historically, chimney swifts preferred hollow trees. However, as pioneers colonized territory and replaced forests with towns, the species was forced to adapt by using other structures, such as chimneys. In the US, a large-scale shift to alternate heat sources, chimney- capping and the use of fabricated chimneys has drastically impacted their ability to nest during migration. Traditionally, chimneys were lined with clay, which the swifts were able to cling to and make their nests. Newer, prefabricated chimneys are often lined with metal flues Traditionally, chimneys were lined with clay, which the swifts were able to cling to and make their nests. Newer, prefabricated chimneys are often lined with metal flues that make it impossible for them to use. In addition, logging and deforestation may make finding suitable overwintering habitat more challenging than ever. In an effort to sustain the remaining population, conservation groups have designed supplemental housing structures, called "Chimney towers." These towers are designed specifically to provide roosting sites for chimney swifts. Chimney swifts now rely almost entirely on man-made structures like these to survive. However, because this species is remarkably adaptable, even minimal conservation efforts like keeping traditional masonry chimneys uncapped during the summer months can drastically improve their chance of survival. The Declaration of the Rights of Man, first drafted in 1789, is a fundamental document of the French Revolution. Which US document inspired it? Quality Move Company made the following expenditures on one of its delivery trucks: Mar. 20. Replaced the transmission at a cost of $5,430. June 11. Paid $1,705 for installation of a hydraulic lift. Nov. 30. Paid $41 to change the oil and air filter. Prepare the journal entries for each expenditure.