Mathematics High School

An equilateral triangle of side 20cm is inscribed in a circle. calculate the distance of a side of the triangle from the centre of a circle. ​

Answers

Answer 1

Answer:

5.76 cm

Step-by-step explanation:

When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,

R = side * sqrt (3) / 6

Here, side is 20 cm.

And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.

So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm

Related Questions

A system of two equations is shown below:

Equation C: a = 2b + 7
Equation D: a = 5b − 3

What value of a can be substituted into equation D to solve the system of equations?

2b
5b
5b − 3
2b + 7

Answers

Answer:

25452664637378381234

Answer:

2b+7

Step-by-step explanation:

sorry for the dimwit who typed random numbers

Plot /\ABC: B(-1,-1), and C(4,-1)
——JUST LOOK AT PHOTO AND PLEASE HELP

Answers

Answer:

i dont know sry

Step-by-step explanation:

:)

Last season, your
favorite basketball
team won 20 games. This
season, your favorite
basketball team won 31
games. What is the
percent change in the
number of games that
your favorite team won
from last season to this
season?

Answers

Answer:

55%

Step-by-step explanation:

The percent change formula is written like this:

[tex]|\frac{change - original }{original}|[/tex]. In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.

Explain how I got this wrong please

Answers

Answer:

x = 9

Step-by-step explanation:

Each angle equals 60 since it is an equilateral triangle

7x-3 = 60

add 3

7x = 63

divide by seven on both sides

x = 9

I hope this helps!!

88800 divided by 10 to the second power explanation of change in digits

Answers

Answer:

4440

Step-by-step explanation:

easy. 10 to the 2nd power is 20 so whats 88800 divided by 20? To find out you use a calculator like i did :). Or you can count by 20's. either way you'll get 4440.

Find the center and radius of the circle x^2+y^2-10x-12y+45=0.

Answers

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

x - 5 + y + 6 = 4

Here, (a,b) = (5, -6) and r² = 16, with r = 4

Thus, The center is (5, -6) with a radius of r

-TheUnknownScientist 72

Help me solve these questions
?

Answers

Answer:

All of these?

Find the value of x for the following triangle. Give your answer to a whole number. (No decimal)​

Answers

Answer:

12

Step-by-step explanation:

Solve |6x + 3| = 27.
A. x = 4 and x = -5
B. x = -4 and x = -5
C. x = -4 and x = 5
D. x = 4 and x = -4.

Answers

Answer:

it's d

.

hope I helped! I need to write more words so I can send this

Answer:

The answer is A

Step-by-step explanation:

|6x + 3| = 27

Use the definition of absolute value

6x + 3 = 27

6x + 3 = -27

Subtract three from both sides of the equation.

6x = 24

6x = -30

Divide both sides by 6.

x = 4

x = -5

So:

x = 4, -5

help pls will mark brainliest if it is correct, its not 72.

Answers

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

The top has 6 faces, so 6 x 2 = 12

The bottom has the same, 12

The left side has 3, 3 x 2 = 6

The front and inside has 6, x 2 = 12

The right side has 2 x 2 = 4

The back has 3 x 2 = 6

12 + 12 + 6 + 12 + 4 + 6 = 52

3 MS Wingate's coffee table is 7 feet wide the length of the coffe table is 8 times the width what is the perimeter of the coffe table?

Answers

It should be 126 because it’s a rectangle and you have to add all the side since it’s perimeter meaning 7x8=56 56x2=112 7x2=14 112+14=126

help me please!!!!!!!

Answers

Answer:

I have no idea.

Step-by-step explanation:

I failed geometry.

PLEASEEE HELPPP I NEEDD HELPP WITH THISSS!

Answers

Answer: The answer is 27.04 square inches.

Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.

Answer:

27.04 in^2

Step-by-step explanation:

hope this helps! :)

Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b? a = 0. 4 and b = â€"0. 15 a = â€"0. 4 and b = 0. 15 a = 8. 6 and b = 14. 25 a = â€"8. 6 and b = â€"14. 25.

Answers

The residual of a regression is the difference between the actual value and the predicted value

The values of (a) and (b) are -0.4 and 0, respectively.

The entries are given as:

x  Given  Predicted    Residual

1    -0.7         -0.6             -1

2   2.3         1.95            0.35

3   4.1           4.5              a

4   7.2          7.2              b

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

To calculate the value of (a), we make use of entry (3).

So, we have:

[tex]a = 4.1- 4.5[/tex]

[tex]a = -0.4[/tex]

To calculate the value of (b), we make use of entry (4).

So, we have:

[tex]b = 7.2- 7.2[/tex]

[tex]b = 0[/tex]

Hence, the values of (a) and (b) are -0.4 and 0, respectively.

Read more about residuals at:

https://brainly.com/question/4333650

can someone please help?!

Answers

Answer:

Plot the points (0,0) and (1,3) to make the line.

Step-by-step explanation:

We know that a linear equation is y=mx+b, m is the slope and b is the y-intercept. We can see that the slope is m=3, and there is no b meaning b=0. Since the y-intercept is 0 we can start from the origin (0,0). The slope is 3/1 or known as rise/run. You go up 3 and go right 1, making the second point (1,3). This should work.

Plzzzz help meeee plzzzzzs

Answers

The answer is b because they are both the same length

Evaluate the function f(x) = â€""2x2 â€"" 3x 5 for the input value â€""3. â’22 â€""4 2 32.

Answers

The equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

We are to evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

Given the function:

f(x) = –2x^2 – 3x + 5

For x = -3, we will have to substitute x = -3 into the expression to have:

f(-3) = –2(-3)^2 – 3(-3) + 5

f(-3) = -2(9) + 9 + 5

f(-3) = -18 + 14

f(-3) = -4

Hence the equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

Learn more on functions here: https://brainly.com/question/10439235

Simplify this expression.
2V5(13 +V2)

Answers

Answer:

26V^5+2V^7

Step-by-step explanation:

Find the product and simplify the answer -n(-2n^4+9n-5)

Answers

Answer:

ay manuck im in 7th grade it sucks but you can get a OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

London is deciding between two different movie streaming sites to subscribe to. Plan A costs $9 per month plus $1.50 per movie watched. Plan B costs $38 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if London watches xx per month, and let BB represent the monthly cost of Plan B if London watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if London plans on watching 26 movies each month

Answers

Answer:

Plan A is $3 cheaper can Plan B.

Step-by-step explanation:

first equation: 1.5t+9

second equation: .50t+38

Then substiute the 26 for x. So you get 48 for Plan A and 51 for Plan B. Then subtract so you can get 3, for Plan A is three dollars cheaper than Plan B.

Hi. I'm kind of confused on this question. Pls help

Answers

Answer:

B is the awnser.

Step-by-step explanation:

cuz it is incorrect.

For f(x) = 2x+1 and g(x) = x2 - 7, find (f+ g)(x).
=
A. x2 + 2x - 6
B. 2x3 - 6
C.x2 + 2x+8
D. 2x2 – 15

Answers

Answer:

the answer is A. it good answer

Leo wants his bowling mean to be at least 150. His scores are shown. 138, 157, 146, 129, 151

What is the lowest score for Leo’s mean to be 150.0?
(1 point)
121
146
154
179

Answers

The lowest score for Leo’s mean to be 150.0 is 179.

Mean can be described as the average of a set of numbers.

Mean = sum of number / total numbers

In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.

Sum of scores = 138 + 157 + 146 + 129 + 151 = 721

The second step is to determine the sum of scores when his mean is 150

Sum of scores when mean is 150 = 150 x 6 = 900

Least score = 900 - 721 = 179

To learn more about mean, please check: https://brainly.com/question/12528427

Answer:

179

Step-by-step explanation:

One it says he wants his score to be at least 150, and then it shows what his scores are which is;  138, 157, 146, 129, 151, then it gives the options of

121

146

154

an 179

then it says what is the lowest score for Leo's mean to be 150.0

and the lowest that it can be is the answer which is 179

Hope this helped, if yes pls put thanks :D

Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.

Answers

Answer:

the BIG B (big base) is 2(5*6)*½ which is 30.

the bottom is 8*5 which is 40.

the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.

30+40+104=174 SQUARE FEET

help please!
i can't figure it out.

Answers

Answer:

35

Step-by-step explanation:

8 + 27 would give us 35

We add the negative since it starts from there and works it's way up.

Plz, help I will give brainiest to the correct answer!

Answers

Answer:

A is correct.

Step-by-step explanation:

If f(x) = 2x - 1 and g(x) = x^2 - 3x - 2, find (f + g)(x).​

Answers

Answer:

SEE attched pic

Step-by-step explanation:

Download symbolab

803 to 2:12
1,460 to 4:00
753 to 1:30
are these proportional?!?

Answers

Answer:

  no

Step-by-step explanation:

In terms of area per hour, Bob's works at the rate of ...

  1460 ft²/(4 h) = 365 ft²/h

Rhonda's rate is ...

  753 ft²/(1.5 h) = 502 ft²/h

The rates are different, so they are not proportional.

___

Additional comment

Toni's rate is 803 ft²/(2.2 h) = 365 ft²/h . . . the same as Bob's

Bob's and Toni's rates are proportional.

Allison buys some cloud storage for her files. On average, she adds files that take up 2​ megabytes each day. After 64​ days, she has 96​ megabytes of memory remaining in the cloud.
Determine the equation, in slope-intercept form, of the line that represents the amount of memory remaining after x​ecks days.

Answers

Answer:

the answer would be a because i had this exact question on ed2020, i think i remember it being A.

Step-by-step explanation:

should be A. hope this helps!!

Plz answer in (x,y).

Answers

3(3x + y = 1/3) ➡️ 9x + 3y =1

9x + 3y = 1 (3/3) Add together
2x - 3y = 8/3

11x = 11/3 divided by 11

x = 1/3

2x - 3y = 8/3 Find y

2(1/3) - 3y = 8/3 Plug in x

(2/3) - 3y = 8/3 Subtract 2/3
-2/3 -2/3

-3y = 6/3 Divided by -3

y = -2/3

(x , y) ➡️ (1/3 , -2/3)
Other Questions
10. As electrons move through the electron-transport chain,they lose energy, which is used to formO A. NAD.O B. ADPO C. ATP.O D. GBP Ways of improving the poor teaching and learning in school NEED HELP ASAPComplete the following sentences with the past imperfect to express influence:1.Los maestros queran que los estudiantes2.Mi padre necesitaba que yo3.Esperbamos que el restaurante A= 8x - 36x + 54x - 27A = ( ? x -?) Please hurry I will mark you brainliest When we say that a firm is a price taker, we are indicating that the Group of answer choices firm takes the price established in the market then tries to increase that price through advertising. firm can change output levels without having any significant effect on price. demand curve faced by the firm is perfectly inelastic. firm will have to take a lower price if it wants to increase the number of units that it sells. The UN International Commission of Inquiry on Darfur concluded that the government of Sudan did not pursue a policy of genocide because: A. the government was unaware of the atrocities committed by its military. B. the government's actions did not qualify as human rights violations. C. the government denied any involvement in the conflict. D. the government's intention was to stop rebels, not to eliminate an ethnic group. 3/5x - 1/2x= 1, please help me to solve this Many animals have a mutually-beneficial, symbiotic relationship with bacteria that reside in their guts. To study the effects of these relationships in more detail, research organisms such as fish and mice have been raised under germ-free conditions. What important process do you predict is compromised in germ-free mice I NEED A ANSWER FOR THIS QUESTION, ASAP Which of the following best describes what capitalism was in the Americas? A. when individuals in private businesses run most industries B. when a mother country controls the economics of a colony with the goal of making more money or C. based on the individuals in what individuals choose to buy and sell When water reaches the metastable state, the phase of water will be? How could works-cited list help a reader determine the validity of an essay A wheel is rotating freely at angular speed 530 rev/min on a shaft whose rotational inertia is negligible. A second wheel, initially at rest and with 9 times the rotational inertia of the first, is suddenly coupled to the same shaft. (a) What is the angular speed of the resultant combination of the shaft and two wheels A prologue is a speech given by a single character in a story.TrueFalse Can someone please help me with part b ? It would be so appreciated you have no idea ;) Cheers Corporation purchased for $500,000 5,000 shares of Beer Corporation common stock (less than 5% of the outstanding Beer stock) at the beginning of the current year. It used $400,000 of borrowed money and $100,000 of its own cash to make this purchase. Cheers paid $50,000 of interest on the debt this year. Cheers received a $40,000 cash dividend on the Beer stock on September 1 of the current year. Cheers has $5 million of taxable income before any dividends-received deduction. a. What amount can Cheers deduct for the interest paid on the loan always shows up lateWhich group of words would correct the sentence fragment?just aboutto dinnerone of the twinsand forgets something A company prices its tornado insurance using the following assumptions: In any calendar year, there can be at most one tornado. In any calendar year, the probability of a tornado is 0.15.. The number of tornadoes in any calendar year is independent of the number of tornados in any othercalendar year.Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 19 year period. The price of 5 kg of rice is 83.75. How many kilograms of rice can you buy for 670?