The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below. V=1/3πR^H Write the formula to calculate the height, H. PLEASE HELP

Answers

Answer 1

Answer:

[tex]h=\frac{1}{3} \pi r^{2} v[/tex]

Step-by-step explanation:

height is equal to one third times pi times radius squared times volume

Answer 2

The expression of the volume of the cone in terms of height H will be as H = 3V/(πR²).

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given volume of the cone,

V=(1/3)πR²H

Manipulate the above formula as,

[V (3/1)]/(πR²) = H

H = 3V/(πR²)

Hence "The expression of the volume of the cone in terms of height H will be as H = 3V/(πR²)".

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Related Questions

Help me please this is due today help me

Answers

Answer:

Below

Step-by-step explanation:

1. -4, -|2|, -1, |-3|, 4

2. -7.5, -7.2, 9.5, 10.5

3. 7

5. 13

6. -9

7. [tex]\frac{5}{12}[/tex]

8. -1.36

9. [tex]\frac{13}{5}*[/tex][tex]\frac{-4}{3}[/tex][tex]=\frac{-52}{15}[/tex]

10. -27.2

11. 22 * 2 + 7 * 0 - 5 * 1 = 39

How many inches are in a square foot?

Answers

Answer:

144 inches.

Step-by-step explanation:

One foot = 12 inches

One square foot = 144 inches.

Answer:

144

Step-by-step explanation:

Foot=12 inch

Square foot= foot times foot

Square foot= 12 inch times 12 inch

Square foot= 144 square inch.

Please help me! Anyone know this answer :(

Answers

Answer:

A

Step-by-step explanation:

2x-3=5(x+6)

2x-3=5x+30

2x-33=5x

3x=-33

x=-11

Hope this helps!

Use Cramers Rule to solve the system
-x-3y=-8
2x+4y=12

Answers

Answer:

x = 2 y = 2

Step-by-step explanation:

just do equation form

Answer:

[tex]x=2[/tex] and [tex]y=2[/tex]

Step-by-step explanation:

To use Cramer's Rule, we first need to turn this system of equations into a matrix

[tex]A=\left[\begin{array}{cc}-1&-3\\2&4\\\end{array}\right][/tex] , [tex]b=\left[\begin{array}{c}-8\\12\\\end{array}\right][/tex]

The first step to use Cramer's Rule is to find the determinant of the original matrix

[tex]detA=(4)(-1)-(2)(-3)\\\\detA=-4+6\\\\detA=2[/tex]

Next, we need to replace column 1 of matrix A with b and then find the determinant of that matrix

[tex]A_1=\left[\begin{array}{cc}-8&-3\\12&4\\\end{array}\right][/tex]

[tex]detA_1=(-8)(4)-(12)(-3)\\\\detA_1=-32-(-36)\\\\detA_1=4[/tex]

And now we need to replace column 2 of matrix A with b and then find the determinant of that matrix

[tex]A_2=\left[\begin{array}{cc}-1&-8\\2&12\\\end{array}\right][/tex]

[tex]detA_2=(-1)(12)-(2)(-8)\\\\detA_2=-12-(-16)\\\\detA_2=4[/tex]

Now that all of this is done, we can find the values for our x matrix.

Recall that Cramer's Rule states that

[tex]x=\left[\begin{array}{c}\frac{detA_1}{detA} \\\frac{detA_2}{detA} \\\end{array}\right][/tex]

Now that we know all of the required determinants, we can find x

[tex]x=\left[\begin{array}{c}\frac{4}{2} &\frac{4}{2} \end{array}\right] \\\\x=\left[\begin{array}{c}2\\2\\\end{array}\right][/tex]

This means that the solutions to this system are [tex]x=2[/tex] and [tex]y=2[/tex]

Lou's Shoes is having its annual Flag Day Sale and is offering a 25% discount on all regularly priced shoes. Kayla spends $13.50 buying sandals and sneakers. Determine which equation represents how much Kayla will spend on sandals after the discount. $13.50 = 0.75(x + 10) $13.50 – 10 = 0.75x $13.50 + 10 = 0.75x $13.50 = 0.25(x + 10)

Answers

Answer:

13.50=0.75(x+10)

Step-by-step explanation:

From the options given, it seems the price of either of Sandals or sneakers is given as 10 and the other is x

If Price of Sandals or sneakers=x

And the price of the other one is 10

Total price=(x+10)

25% discount is given

So she will pay 75% of the total cost

75%=0.75

Total cost =$13.50

She would pay 75% of (x+10)

Which is

0.75(x+10)=13.50

13.50=0.75(x+10)

Answer:

The answer is $13.50 = 0.75(x + 10)

Step-by-step explanation:

I am doing the assignment right now

Your Welcome :)

Divide 21a^3-14a by -7

Answers

Answer:

A

Step-by-step explanation:

[tex]\dfrac{21a^3-14a}{-7}= \\\\\\\dfrac{-7(-3a^3+2a)}{-7}= \\\\\\-3a^3+2a[/tex]

Hope this helps!


How fast did the truck consume its fuel?
Pro
Choose 1 answer:
Tea
60 liters per kilometer
0.6 liters per kilometer
40 liters per kilometer
0.4 liters per kilometer

Answers

Answer: 0.6 liters per kilometer

Step-by-step explanation:

(A) 475L - 50km

(B) 375L - 200km

Subtract liters.

475-375=100L

Subtract km

200-50=150km

Divide liters per km

100/150=0.6L/km

Which property allows you to write the expression
(3 + 7i) + (8 − 6i) as (8 − 6i) + (3 + 7i)?


Answers

Answer:

3+7i

Step-by-step explanation:

Answer:

Associative

Step-by-step explanation:

I got it on edge hope ur not as far behind as me boys

If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f - g)(2)

Answers

Answer:

14

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x , thus

(f - g)(2)

= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)?

Answers

Answer:

4

Step-by-step explanation:

[tex]h(x)=x-7 \\\\g(x)=x^2 \\\\(g\circ h)(5)= (5-7)^2=(-2)^2=4[/tex]

Hope this helps!

Using composite functions, it is found that the equivalent expression at x = 5 is given by:

[tex](g \circ h)(5) = 4[/tex]

What is a composite function?

A composite function is when a function is used as an input to another function, hence, that is:

[tex](g \circ h)(x) = g(h(x))[/tex].

In this problem, we have that the functions are given as follows:

h(x) = x - 7.g(x) = x².

Then, the composite function is given by:

[tex](g \circ h)(x) = g(h(x)) = g(x - 7) = (x - 7)^2[/tex].

We want to find the value of the composite function at x = 5,  hence we have that:

(5 - 7)² = 4.

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For each hour he babysit,Anderson earns 1$ more than half of carey's hourly rate.Anderson earns 6$ per hour. wich equation can be used to solve for carey's hourly rate,c?

Answers

Answer:

The expression to find Carey's hourly rate is: [tex]c = 2*a - 2[/tex]. Carey's hourly rate is $10.

Step-by-step explanation:

Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:

[tex]a = \frac{c}{2} + 1[/tex]

We want to find the Carey's rate, therefore we need to isolate the "c" variable.

[tex]\frac{c}{2} + 1 = a\\\frac{c}{2} = a - 1\\c = 2*a - 2[/tex]

Since Anderson earns $6, then we can find Carey's rate:

[tex]c = 2*6 - 2 = 12 - 2 = 10[/tex]

Answer:

A)

6 = c/2 + 1

Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??

Answers

Answer:

The correct answer is -$1,209.85-verified by Edg. Thank you.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

What is the answer to 2(5x+4)=8

Answers

Answer:

So first we have 10x = 0. We divide by 10 on both sides, so then we get x = 0. We still have 0 because 0/10 = 0.

So that means that the answer is

Write 10 in the first box 10 in the secondx=0

Answer:

? = 10

Step-by-step explanation:

2(5x+4)=8 - DISTRIBUTE

= 10x + 8 = 8

10x + 8 = 8

- 8

10x = 0

10x/10 = 0/10

x = 0

80 people were asked which was their favourite animal.
The pictogram shows the results.
The key is missing.
Cat
a)
Which animal was the least popular?
b)
How many people does
represent?
Dog
Giraffe DDI
Monkey D.
Dolphin
c)
How many more people preferred
giraffes than dogs?

Answers

Answer:

(a)Cat

(b)8 animals

(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the [tex]\square[/tex] be x.

Half of [tex]\square[/tex] =x/2

From the pictogram, we then have:

[tex]Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x[/tex]

Therefore:

[tex]x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8[/tex]

So we have the following numbers

[tex]Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24[/tex]

(a)Cat was the least popular

(b) [tex]\square[/tex] represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred  giraffes than dogs.

A pictogram is a simple drawing that represents something

(a). Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Let us consider that a large complete square represented by variable y .

Since, peoples whose favourite animal is cat is represented by a complete square and one fourth of square.

It means, Peoples who like cat = [tex]y+\frac{y}{4}[/tex]

Similarly,

People who like dog = [tex]y+\frac{3}{4}y[/tex]

Peoples who like Giraffe = [tex]2y+\frac{y}{2}[/tex]

Peoples who like monkey = [tex]y+\frac{y}{2}[/tex]

Peoples who like Dolphin = [tex]3y[/tex]

Since, total people = 80

Therefore,

       [tex]y+\frac{y}{4}+y+\frac{3}{4}y+2y+\frac{y}{2}+y+\frac{y}{2} +3y=80\\\\10y=80\\\\y=\frac{80}{10}=8[/tex]

So, a complete large square is equivalent to 8 peoples.

Peoples who like giraffes = [tex]2y+\frac{y}{2}=2(8)+\frac{8}{2}=20[/tex]

Peoples who like dog = [tex]y+\frac{3}{4}y=8+(\frac{3}{4} ) 8=14[/tex]

So, 20 - 14 =6 more people preferred giraffes than dogs.

Thus,

(a) Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

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James has a bicycle. Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions. How far does the bicycle travel? Give your answer in metres.

Answers

Answer: 21.21 meters

Step-by-step explanation:

Hi, to answer this, first we have to calculate the circumference (C) of the wheel:

C = π x diameter

Replacing with the values given:

C = π x 45 = 141.37 cm

Then we multiply it by the number of revolutions:

141.37 x 15 = 2,120.6 cm

Since  

1 cm = 0.01 m

2,120.6 x 0.01 = 21.21 meters

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

Please answer the following:

Answers

CLASS 8 SPOT TEST

1. WHAT IS THE PROBABILITY THAT AN INTEGER CHOSEN AT RANDOM BETWEEN 1 TO 10 INCLUSIVE IS EVEN?

2. A BAG CONTAINS 5 WHITE, 4 BLACK AND 1 BLUE BALLS. ONE BALL IS CHOSEN AT RANDOM. WHAT IS THE PROBABILITY THAT IT IS BLACK?

3. FIND THE PROBABILITY OF GETTING AN ODD NUMBER IN A SINGLE TOSS OF A FAIR DIE?

4. A FAIR DIE IS THROWN 900 TIMES. FIND THE NUMBER OF TIMES YOU WOULD EXPECT TO GET A 6.

5. THE PROBABILITY THAT IT WILL BE CLOUDY TOMORROW IS 0.45. WHAT IS THE PROBABILITY THAT IT WILL NOT BE CLOUDY TOMORROW?

Step-by-step explanation:

1. Of the following 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Only these 5 are even: 2, 4, 6, 8, 10.

The probability on an even number is 5 / 10 = 0.5 = 50%

2. The total number of balls is 10.

5 WHITE, 4 BLACK AND 1 BLUE

The probability on a black ball is 4 / 10 = 0.4 = 40%

3. A fair die can show the following 6 numbers 1, 2, 3, 4, 5, 6.

Only these 3 are odd: 1, 3, 5.

The probability on an odd number is 3 / 6 = 0.5 = 50%

4. The probability of a six is 1 / 6. If the die is cast for 900 times you can expect it to be 900 * 1 / 6= 900/6 = 150. The number of times you would expect a 6 would be 150.

5. If the probability on a cloudy tomorrow is 0.45, then in mathematics, that defines the propability for an non cloudy tomorrow as 1 - 0.45 = 0.55, which is 55%.

(The total should always add up to 100%).

If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)

Answers

Answer:

5

Step-by-step explanation:

To evaluate (g ○ h)(9), evaluate h(9) , then use this value to evaluate g(x)

h(9) = [tex]\sqrt{9}[/tex] = 3, then

g(3) = 2(3) - 1 = 6 - 1 = 5

Please help me with my question!!

Answers

Answer:

56 tiles

Step-by-step explanation:

[tex]\dfrac{252}{4\frac{1}{2}}= \\\\\\\dfrac{252}{\frac{9}{2}}= \\\\\\252\times \dfrac{2}{9}= \\\\\\\boxed{56}[/tex]

Hope this helps!

Same with the other question we did, we are given the area of each tile which is 4 1/2in^2.

All we need to do it divide.

252 / 4.5 = 56

So, she would need 56 tiles in total.

Best of Luck!

PLEASE HELP FOR A BRAINLIEST!!!! Create your own example and explain how to solve Quadratic Equation using Quadratic Formula. What part in the Quadratic Formula is the discriminant and how do you know the number of solutions based on the value of the discriminant?

Answers

Answer:I'm gonna be doing a quadratic equation explaining step by step and using the formula so the example i'm gonna be using for today is

3[tex]x^{2}[/tex] +5[tex]x^{}[/tex]=7 I'm gonna answer the question then explain how i got the answer the i will explain to you  about the discriminant section

Step-by-step explanation:

So here is the explanation for the equation given above

One thing you need to know about quadratic equation is that there has to be a 0 on the other side of the equation given to you

3[tex]x^{2}[/tex]+5[tex]x^[/tex]-7=0

Therefore you have to group the numbers into a,b and c

a=3

b=5

c=7

Your'e gonna use a plus or minus sign like the one below

x=-(5)+[tex]\sqrt{}[/tex]5                                                                                                                                                                                                                                              

sorry i cannot understand it very well i tried though

         -

How many solutions exist for the given equation?
CO
3(x - 2) = 22-X
name
zero
one
two
infinitely many




can someone help me pls​

Answers

Answer:

one

Step-by-step explanation:

3(x - 2) = 22 - x

3x - 6 = 22 - x

3x + x = 22 + 6

4x = 28

4x/4 = 28/4

x = 7

B. Nina buys a variety of cereal bars. The box contains 5 blueberry bars, 3 strawberry bars, and
2 apple bars. Write the ratio that represents each relationship in words, in colon form, and in
fractional form.
1. strawberry bars to blueberry bars
2. apple bars to blueberry bars
3. strawberry bars to total bars
4. apple bars to total bars
5. blueberry bars to total bars
6. apple bars to strawberry bars

Answers

Answer:

The requested ratios in words, colon form, and fraction form are:

1. strawberry bars to blueberry bars  = 3 : 5 = 3/5

2. apple bars to blueberry bars  = 2 : 5 = 2/5

3. strawberry bars to total bars  = 3 : 10 = 3/10

4. apple bars to total bars  = 2 : 10 = 2/10= 1/5

5. blueberry bars to total bars  = 5 : 10 = 5/10 = 1/2

6. apple bars to strawberry bars =2 : 3 = 2/3

Step-by-step explanation:

Let's start by doing an inventory of what Nina has:

Apple bars =  2

Blueberry bars = 5

Strawberry bars = 3

Total bars = 10

The requested ratios then are:

1. strawberry bars to blueberry bars  = 3 : 5 = 3/5

2. apple bars to blueberry bars  = 2 : 5 = 2/5

3. strawberry bars to total bars  = 3 : 10 = 3/10

4. apple bars to total bars  = 2 : 10 = 2/10= 1/5

5. blueberry bars to total bars  = 5 : 10 = 5/10 = 1/2

6. apple bars to strawberry bars =2 : 3 = 2/3

In RST, the measure of

Answers

Answer:

27.5 degrees

Step-by-step explanation:

First, choose which method would work in this problem, SOH, CAH, or TOA.

We have opposite, O and adjacent, A. So we have an O and an A.

Thus, we should use TOA.

Tangent x = 44/84

Tangent x= 0.52

x= Tangent^-1 (0.52)

x=27.5 degrees

Answer:27.6

Step-by-step explanation:

Help pls! I ended up getting the wrong answer, so an explanation would help! (:

Answers

Answer:

4p squared - 28pq

Step-by-step explanation:

4p(p−7q)

=(4p)(p+−7q)

=(4p)(p)+(4p)(−7q)

=4p squared −28pq

Apply the distributive property.
4
p

p
+
4
p
(

7
q
)
4
p

p
+
4
p
(
-
7
q
)
Multiply
p
p
by
p
p
by adding the exponents.
Tap for more steps...
4
p
2
+
4
p
(

7
q
)
4
p
2
+
4
p
(
-
7
q
)
Rewrite using the commutative property of multiplication.
4
p
2
+
4


7
(
p
q
)
4
p
2
+
4

-
7
(
p
q
)
Multiply
4
4
by

7
-
7
.
4
p
2

28
p
q

Ursula tosses two six-sided number cubes and ADDS the numbers rolled. Which of these is a list of the outcomes of the two row? A) 3, 4, 5, 6, 7, 8 B) 2,4,6,8, 10, 12 C) 5, 8, 11, 14, 17, 20 D) 0/25, 1/25, 3/25, 5/25, 6/25, 25/2

Answers

Answer:

A) 3, 4, 5, 6, 7, 8

Step-by-step explanation:

2+1, 2+2, 2+3, 2+4, 2+5, 2+6= 3, 4, 5, 6, 7, 8


Ken built a 20 foot square fence in his back yard and planted a tree every 5 feet along the fence. How many trees did Ken plant?

Answers

Answer: 41

Step-by-step explanation:

Answer:

c:16

Step-by-step explanation:

which expression is equivalent to: -9x^-1y^-9/-15x^5y^-3

Answers

Answer:

3 / 5x^6y^6

Step-by-step explanation:

= -9x^-1y^-9/-15x^5y^-3

= -9y-9 / -15x^6y^-3

= -9 / -15x^6y^6

= 3 / 5x^6y^6

Answer:

b on edge

Step-by-step explanation:

Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135. Show that the relationship between number and the cost is a proportional relationship by making a table of tickets for 1 to 5 tickets. Show your work. Number of Tickets 1 2 3 4 5 Total Cost ($) What is the constant of proportionality, k? Write and Equation for the relationship. (Remember to state what the variables represent)

Answers

Answer:

k=27y=27x

Step-by-step explanation:

3 tickets to attend an Off-Broadway show cost $81,

4 tickets cost $108; and

5 tickets cost $135.

Let the price of a ticket=k

Therefore:

3k=814k=1085k=135

Solving any of the equation above gives: x=27

We therefore have:

[tex]\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|[/tex]

Let y be the total cost of x tickets

From the above, the constant of proportionality, k=27

An equation for the relationship is therefore:

y=27x (where x is the number of tickets and y is the total costs (in $)).

Subtract the equations 5x+4y= 25 -(5x+2y=3)

Answers

If you subtract you will get 2y=22. The x’s cancel out. Divide both sides by 2 and you get y=11.

Please help ASAP! Correct answer only! I need to finish this assignment today.
There are 9 college students running for student government class president. The candidates include 5 biology majors.
If 5 of the candidates are randomly chosen to give the first 5 speeches, what is the probability that exactly 3 of the chosen candidates are biology majors?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

  0.4762

Step-by-step explanation:

There are 9C5 = 126 ways to choose 5 candidates to give speeches. There are (5C3)(4C2) = 60 ways that 3 of those candidates can be biology majors (and the other two can be non-biology majors). The probability of interest is ...

  60/126 ≈ 0.4762

__

nCk = n!/(k!(n-k)!)

pls help me I need to finish it!!

Answers

Answer:

2/7

Step-by-step explanation:

7/8 ÷ 3 1/16

Change to an improper fraction

3 /16 = (16*3+1)/ 16 =49/16

7/8 ÷49/16

Copy dot flip

7/8 * 16/49

Rewrite

7/49 * 16/8

Simplify

1/7 * 2/1

2/7

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i need the answer ;( How is the rhythmic approach in a recitative best described?Slow and ploddingFlexible and freeAbsentStrict and fast Read the excerpt from The New Colossus" by Emma Lazarus:"Send these, homeless, tempest-tost to me.I lift my lamp beside the golden door."Which sentence is NOT an objective summary of the excerpt?The statue is telling the world America provides a better life for those in need.The statue is telling the world to send her their homeless.The statue is telling the world America is a land opportunity.The statue is telling the world she welcomes all people. EXREAMLY URGENT!! WILL FOREVER THANK YOU!!!! PLS JUST TAKE A LOOK!!!!! 1. What is the ratio of the sides of triangle XYZ? Suck at maths! HELP! Determine the center and radius of the circle described by the question.(X+2) Work for today Draw different types of leaves using the step by step instructions. Find the area of the polygon shown in the figure. Factor completely 5x4 80. 5(x2 4)(x2 + 4) 5(x 2)(x + 2)(x + 2)(x + 2) 5(x 2)(x + 2)(x2 4) 5(x 2)(x + 2)(x2 + 4) The amount of Jens monthly phone bill is normallydistributed with a mean of $55 and a standard deviation of $12. What percentage of her phone bills are between $19 and $91? What is the value of x in the following equation? 5x - 6(x + 1) + 8 = 0 A. 14 B. 16 C. 1 D. 2 What is the area of a circle with a diameter of 36 millimeters? mm square use 3.14 pi A sequence is defined by the recursive function f(n + 1) = 10f(n). If f(1) = 1, what is f(3)? Dr.Chavez drew a rectangle on a coordinate plane to estimate the size of a lake. Each unit represents 1 mi. The coordinates of the rectangle are the origin, (0,7.65), (12.8, 7.65) and (12.8,0). Based on the information, what is the perimeter of the lake? Summarize the flow of carbon, oxygen ,water, nitrogen, and phosphorus through an ecosystem. ( Minimum of three paragraphs please) How do religion, music, community, and family relate to humanity, or the act of being human? Provide evidence to support your answer. 5.Which contains more nitrogen: 60g of urea, (NH2)2CO, or 100g of ammonium sulphate, (NH4)2SO4 Why are objects that fall near Earth's surface rarely in free fall?O Gravity does not act on objects near Earth's surface.Air exerts forces on falling objects near Earth's surface.The objects do not reach terminal velocityO The objects can be pushed upward by gravity. I live in Russia! And I was given a task in English! Therefore, I appeal to the Americans, please help me answer the questions in the text it is very simple! Introduction to the USA Geography, Regions and Dialects The United States of America is the world's third largest country in size and nearly the third largest in terms of population. Colonies to States The birth of the US goes back to 1776, when 13 British colonies were established on the Atlantic coast. Today it is a federation that consists of fifty states, 48 of them on the mainland. The two last states to be included in 1959 were Alaska and Hawaii, both physically separate from the other states. In addition to the fifty states, the US also consists of Washington DC (District of Colombia), the free Commonwealth of Puerto Rico, the Virgin Islands and some Pacific Islands, like Guam. The nation is huge, with enormous distances; it is the third largest country by size in the world (after Russia and Canada) and 30 times the size of Norway. If you were to drive a car the 4,500 km from the eastern to the western coast, it would take you five to six days. A coast-to-coast trip by train takes you three days. From Canada to Mexico it is 2,500 km. In comparison, the distance from Oslo to Paris is 1,600 km. The landscape, climate and topography can vary even within a short distance. In California, for instance, it does not take long to travel from sun and sea to mountains and snow or to the desert. The USA has approximately 304 million inhabitants, making its population the worlds third largest (after China and India). The US is also much more sparsely populated than Western Europe. Each American in theory has more space than people in Western Europe. Geographical Regions We can divide the nation into the following four main regions: the Northeast, the Midwest, the South and the West. There are great differences in size and population between the regions. Although Americans tend to relocate a lot, each region has its own distinct characteristics, especially when it comes to race and cultural background. We also see that people within a region share common values. They share concerns over economic questions, and they identify with the history and traditions of their region. Food is one example of such traditions. Local dishes may vary a lot, from the seafood dishes of coastal states like California, or the Creole dishes of New Orleans, to the piles of steaks devoured by meat-loving Texans. Dialects Vary Dialects also vary greatly. It is not difficult to recognize the difference between a man from the Northeast, for example a city like Boston, and an American from the Midwestern State of Kansas. In addition, the styles of speaking may be different. Farmers of New England are known for their short, concise sentences, and for being men and women of few words, while others, for example people from the South, often talk in a very slow manner. Considering the size of the USA, it is easy to understand that people from the Northeast feel closer to Europe than for example Texans might, both as far as news coverage and other forms of culture are concerned. Texans, on their part, have Mexico and other Latin American states as their closest neighbors, and are therefore more heavily influenced by Mexico and Mexican culture. Comprehension 1. How many British colonies were there in 1776? 2. How many states are there in the US? 3. What were the last two states to be added to the federation? 4. What is the difference between Washington DC and Washington? 5. How many times larger is the USA than Norway? 6. Approximately how many inhabitants are there in the USA? 7. What are the four main geographical regions called? 8. Give examples of how these regions are different. Is Centrosome a part of the Cytoskeleton