How much of the circle is shaded? Write your answer as a fraction in simplest form.

How Much Of The Circle Is Shaded? Write Your Answer As A Fraction In Simplest Form.

Answers

Answer 1

Answer:

5/18

Step-by-step explanation:

1/2 × 9/9 = 9/18

2/9 × 2/2 = 4/18

This means we have 9/18 and 4/18 left in the circle. Because these fractions have a common denominator, we can now subtract them from the whole to find the shaded portion:

18/18 - 9/18 - 4/18 = 5/18

The shaded portion is 5/18, which is already in simplest form.


Related Questions

Use the properties to rewrite logarithm expressions as a single logarithm

log subscript 2 8 space minus space log subscript 2 4

Answers

The value of the logarithm expressions  [tex]log_{2} 8 - log_{2} 4[/tex] is 1.

Using only two logarithms at a time, from left to right, use the product property or quotient property of logarithms to rewrite logarithms of the form [tex]log_{b} A - log_{b} B = log_{b} (\frac{A}{B} )[/tex]

The logarithm expressions is [tex]log_{2} 8 - log_{2} 4[/tex].

Use the properties to rewrite logarithm expressions as a single logarithm

Using only two logarithms at a time, from left to right, use the product property or quotient property of logarithms to rewrite logarithms of the form [tex]log_{b} A - log_{b} B = log_{b} (\frac{A}{B} )[/tex]

= [tex]log_{2} 8 - log_{2} 4 = log_{2} (\frac{8}{4} )[/tex]

=[tex]log_{2} 2[/tex]=1

thus the expressions value is 1.

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A number is divided by 3, and then 4 is added to the quotient. the result is 8 find the number

Answers

12 !!
12 divided by 3 = 4 + 4 =8

Given that 11th term of an arithmetic progression is u 3 and the first term is 3 find the common difference (b)U th term

Answers

The common difference of Uth term is 0

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

The nth term of the sequence () is given by: If the first term of an arithmetic progression is and the common difference between succeeding members

Formula

a_n=a_1+(n-1)d

a_n = the nth term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

we gives

a_n=a+(n-1)d

a_11=a+(n-1)d

a_11=a+(11-1)d

a_11=a+10d

a_11=3+10d

10d=-3

d=(-3)/10,  a=3

To find the Uth term of sequence

U_n=a+d(n-1)

U_11=a+d(11-1)

apply the value of a=3,d=(-3)/10

U_11=3+((-3)/10 (11-1) )

U_11=3+((-3)/10 (10) )

U_11=3+(-3)

U_11=0

Therefore, Uth term of arithmetic progression is 0.

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Write a fraction division problem that you can use to find out how long it will take Mel to finish mowing the yard.

Answers

The fraction that needs to be mowed is 2/3, The fraction division for the condition is x = 1 - 1/3.

What is a fraction?

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Given that,

Michael mows = 1/3 of the yards.

Let's say the remaining fraction is x

Remaining fraction = Total fractions - a fraction of the mowed.

x = 1 - 1/3

x = 2/3

Therefore 2/3 fraction still needed to mow.

Hence "The fraction that needs to be mowed is 2/3, The fraction division for the condition is x = 1 - 1/3".

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can people help me with my homework it is due tomorow and i don't want to get a detention

Answers

Write out each bracket

Cancel by crossing out same brackets on top and bottom

Cancel as 8 changes to 4 and 2 to 1

The average temperature of the Earth is T≈300 K. Use Wien’s Law to calculate the peak wavelength that Earth emits as a blackbody radiator.

Answers

The peak wavelength that Earth emits as a blackbody is approximately equal to 9.657 × 10⁻⁶ m.

How to determine the peak wavelength that Earth emits as a blackbody radiator

The Wien's displacement law is a consequence of Planck's radiation law, that states the brightness of a radiative body is a function of wavelength at a given temperature. Wien's displacement law states that peak wavelength is inversely proportional to the temperature (T), in Kelvin. The Wien's displacement law is represented by the following formula:

λ' = b / T

Where:

λ' - Peak wavelength, in meter-Kelvin.T - Temperature, in Kelvin.λ' - Peak wavelength, in meters.

If we know that b ≈ 2.897 × 10⁻³ m · K and T ≈ 300 K, then the peak wavelength of the Earth is:

λ' = (2.897 × 10⁻³ m · K) / (300 K)

λ' ≈ 9.657 × 10⁻⁶ m

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a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6. what are the upper and lower bounds of a-b

Answers

If a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6 the upper and lower bounds of a-b is: 41.66; 41.79.

Upper and lower bounds

Given:

A= 49.3

B=7.6

Now let find the lower bounds and the upper bounds

Lower bounds is calculated as:

Lower bounds=a-b

Lower bounds=49.35-7.69

Lower bounds=41.66

Upper bounds is calculated as:

Upper bounds=a-b

Upper bounds=49.34-7.55

Upper bounds=41.79

Therefore If a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6 the upper and lower bounds of a-b is: 41.66; 41.79.

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To prepare for the alignment of numerous​ pumps, you need to have 50 pieces of​ 1/8-inch brass shim stock on hand. if you stack the 50 shims on top of each​ other, how tall would the stack​ be, shown as a whole or mixed​ number?

Answers

The height of the stack of shim stocks will be  6 1/4 inches.

What will be the height of the stack?

A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is 1 3/5. A whole number is a number that is not made up of a decimal or a fraction.

In order to determine the height of the stack, multiply the width of each shim stock by the total number of pieces. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign used to represent multiplication is x.

Height of the stock = width of one stock x number of pieces

50 x 1/8 = 50 / 8 = 6 2/8 = 6 1/4 inches

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y = -2x - 4
y= 3x + 1
What is the solution to the system of equations?

Answers

Answer:

x = -1

y = -2

Step-by-step explanation:

We are given the following equations:

[tex]y = -2x - 4[/tex]

[tex]y = 3x + 1[/tex]

As we can see, the expressions [tex]{-2x - 4}[/tex] and [tex]3x + 1[/tex] are both equal to [tex]y[/tex]. Therefore, we can equate them:

[tex]-2x - 4 = 3x + 1[/tex]

Now we can solve for [tex]x[/tex] by making [tex]x[/tex] the subject of the equation:

⇒ [tex]-2x - 4 -3x = 3x + 1 - 3x[/tex]      [Subtracting [tex]3x[/tex] from both sides]

⇒ [tex]-5x - 4 = 1[/tex]

⇒ [tex]-5x - 4 + 4 = 1 + 4[/tex]                 [Adding 4 to both sides of equation]

⇒ [tex]-5x = 5[/tex]

⇒ [tex]\frac{-5}{-5}x = \frac{5}{-5}[/tex]                                     [Dividing both sides by -5]

⇒ [tex]x = \bf -1[/tex]

Now that we know the value of [tex]x[/tex], we can calculate the value of [tex]y[/tex] by replacing the [tex]x[/tex] with -1 in any of the equations for  [tex]y[/tex] given above:

[tex]y = 3x + 1[/tex]

⇒ [tex]y = 3(-1) + 1[/tex]

⇒ [tex]y = -3 + 1[/tex]

⇒ [tex]y = \bf -2[/tex]

Therefore, the solution to the system of equations is : x = -1, y = -2.

Answer:

x = -1

y = -2

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y = -2x - 4\\y= 3x + 1\end{cases}[/tex]

Use the method of substitution to solve for x:

[tex]\begin{aligned}& \textsf{Substitute}: & 3x+1 & = -2x-4\\& \textsf{Add $2x$ to both sides}: & 3x+1+2x & = -2x-4+2x\\& \textsf{Combine like terms}: & 5x+1 & = -4\\& \textsf{Subtract $1$ from both sides}: & 5x+1 -1& = -4-1\\& \textsf{Simplify}: & 5x & = -5\\& \textsf{Divide both sides by $5$}: & \dfrac{5x}{5} & = \dfrac{-5}{5}\\& \textsf{Simplify}: & x & = -1\end{aligned}[/tex]

Substitute the found value of x into one of the equations and solve for y:

[tex]\begin{aligned}& \textsf{Equation}: & y& = 3x+1\\& \textsf{Substitute in $x=-1$}: & y & = 3(-1)+1\\& \textsf{Multiply the numbers}: \quad & y & = -3+1\\& \textsf{Simplify}: & y & = -2\\\end{aligned}[/tex]

Therefore, the solution to the given systems of equations is (-1, -2).

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Find the slope of the line that goes that goes through the giving points
(-9,-2) and (-7,6)

Answers

Answer:

8/2 or 4

Step-by-step explanation:

y^2 - y^1 / x^2 - x^1

Pls help me with my math

Answers

Step-By-step
|18 + x/2| > 10
|1/2x + 18| > 10
Solve Absolute Value.
|1/2x + 18| > 10
We know either
1/2x + 18 > 10
or
1/2x + 18 < −10

(Possibility 1)
1/2x + 18 > 10
1/2x + 18 − 18 > 10 − 18
(Subtract 18 from both sides)
1/2x > − 8
2* (1/2x) > (2)* (−8)
(Multiply both sides by 2)
x > -16

(Possibility 2)
1/2x + 18 < −10
1/2x + 18 − 18 < -10 − 18
(Subtract 18 from both sides)
1/2x < −28
2* (1/2x) < (2)* (−28)
(Multiply both sides by 2)
x < -56

(Answer)
x > -16 or x < −56

Please help!
I am stuck on this question
I will give brainliest!
Thank you so much
(Once you press the photo it’s not blurry btw)

Answers

Answer:

1. 5x - 15

2. 5x - 3

Step-by-step explanation:

The first one is f(g(x)), which means that you substitute g(x) into f(x).

5(x - 3)

5x - 15

Vice versa for the 2nd one.

(5x) - 3

5x - 3

Hope this helps! :)

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3005 to rent trucks plus an additional fee of $100.50 for each ton of sugar. The second company does not charge to rent trucks but charges $250.75 for each ton of sugar.

Answers

The amount of sugar that the two companies charge the same is 20 tons

The cost when the two companies charge the same is $5,015

What is breakeven amount of sugar for the two companies?

The amount of sugar that the two companies charge the same is derived at the point when the total cost of both companies are the same, bearing in mind that the total cost in this case is made of fixed cost to rent truck and variable cost, which is additional fee for each ton of sugar moved.

First company:

TC=3005+100.50x

Second company:

TC=250.75x

3005+100.50x=250.75x

3005=250.75x-100.50x

3005=150.25x

x=3005/150.25

x=20 tons of sugar

Total cost of 20 tons=250.75*20=$5,015

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Full question:

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3005 to rent trucks plus an additional fee of $100.50 for each ton of sugar. The second company does not charge to rent trucks but charges $250.75 for each ton of sugar

For what amount of sugar do the two companies charge the same?

What is the cost when the two companies charge the same?

Which angle number represents an angle adjacent to
SOMEONE PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The angle number represents an angle adjacent to  ∠DGA is angle 2.

∠DGB.

Which angle is the adjacent angle?

When two angles share a shared vertex and side, they are said to be neighboring. The terminus of the rays that create the sides of an angle is referred to as the vertex of an angle. Adjacent angles can be complimentary or supplementary if they have a shared vertex and side.

Briefing:

Adjacent angles seem to be two angles that share a shared vertex and then a common side but do not overlap. Angles 1 and 2 in the figure are adjacent. They have the same vertex as well as a common side. In the diagram, angles 1 and 3 are not contiguous.

How can you recognize neighboring angles?

When two angles have a common side as well as a common vertex (corner point) but do not overlap, they are said to be adjacent.

What's the distinction here between adjacent angle and?

Adjacent angles comprise two angles with the same arm and vertex. When two lines meet at the vertex as well as form a pair of opposite angles, vertical angles are formed. They share an arm and a vertex. They share a vertex of the arm but no arm.

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What is the value or r^2 for the following data to three decimal places.
X. Y
3. 2
4. 4
5. 5
7. 6
10. 20

Answers

The value of is 0.8673.

Given that x and y are two variables as listed below

We have to find r² the coefficient of determination

x         y         xy          x²        y²

3        2          6           9          4

4        4         16         16        16

5        5         25         25        25

7        6         42         49        36

10      20      200       100      400

------------------------------------------

29     37       289       199      481

Mean x = ( 29 / 5 )

Var X= ( 199 / 5 ) - 29 =10.8,

Mean Y = 7.4, Var Y = ( 481/5 ) - 37 = 96.2 - 37 = 59.2

Now,

r = { n(∑xy ) - (∑x)(∑y) } / √ { n( ∑x²) - (∑x )² ) × [ n(∑y²) - (∑y)² ] }

r = { 5 × 289 - 29 × 37 } / √ { ( 5 ( 199 ) - (29)² ) × [ 5( 481 - ( 37 )² ] }

r = { 1445 - 1073 } / √ { ( 995 - 841 ) × [ 2405 - 1369 ] }

r = 372 / √ { ( 154 ) × [ 1036 ] }

Therefore,

r² = ( 372 )² /  ( 154 ) × [ 1036 ]

r² = 0.8673

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your sports drink is 5/6 full after practice its now 3/8 full write the difference of the amounts after practice and before pracices

Answers

Answer: The difference of the amounts after practice and before practices = 11/24

Step-by-step explanation:

Given data,

Initial quantity of drink = 5/6

After practice quantity = 3/8

difference of the amounts after practice and before practices

difference of amount = Initial quantity of drink - After practice quantity

                                   = (5/6) - (3/8)

                                   = (20-9)/24

 difference of amount = 11/24

Therefore,

The difference of the amounts after practice and before practices = 11/24

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Rounded to the nearest hundred thousandth, the number 0.00007163 is

Answers

Answer:

The answer is 0.00007

Step-by-step explanation:

Because the number behind the 7 was a 1 and not 5 or more, you could not round the 7 up, so it stayed the same.

Consider the function ƒ(x)=|x+3|−1.
Which of the following statements describe the graph of f(x)? Select ALL that apply.
Responses

A. The vertex is located at (−3,−1).
B. There is a y-intercept located at (0,−2).
C. There is a y-intercept located at (0,2).
D. There is an x-intercept located at (2,0).
E. There is an x-intercept located at (−4,0).

Answers

The statements that describe the graph of f(x) are (a) the vertex of f(x) is located at (−3,−1) and (c) there is a y-intercept located at (0,2).

How to determine the true statements?

The equation of the function is given as

f(x) = |x + 3| - 1

The above function is an absolute value function.

An absolute value function is represented as

f(x) = a|x - h| + k

Where

Vertex = (h, k)

This means that the vertex of f(x) is located at (−3,−1)

To calculate the y-intercept, we set x = 0

So, we have

f(0) = |0 + 3| - 1

Evaluate

f(0) = 2

This means that there is a y-intercept located at (0,2).

To calculate the x-intercept, we set y = 0

So, we have

|x + 3| - 1 = 0

Evaluate

x = -2

This means that there is a x-intercept located at (-2, 0).

Hence, the statements that describe the graph of f(x) are (a) the vertex of f(x) is located at (−3,−1) and (c) there is a y-intercept located at (0,2).


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8. You are planning to advertise your boat for sale on the Internet. The Boat Mart charges $1.30 for a photo plus $0.12 per word. Boat Bargains charges $1.80 for a photo plus $0.10 per word. For what number of words will the charges be the same?

Answers

Considering the definition of an equation and the way to solve it, for 25 words the charges will be the same.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

Group the terms that contain the variable to be calculated in one member and the independent terms in the other.When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

Number of words

Being "x" the number of words, and knowing that:

The Boat Mart charges $1.30 for a photo plus $0.12 per word. → Boat Mart= 1.30 + 0.12xBoat Bargains charges $1.80 for a photo plus $0.10 per word. → Boat Bargains= 1.80 + 0.10x

If the charges are the same, the equation in this case is:

Boat Mart= Boat Bargains

1.30 + 0.12x= 1.80 + 0.10x

Solving:

0.12x - 0.10x= 1.80 - 1.30

0.02x= 0.5

x= 0.5 ÷ 0.02

x= 25

Finally, for 25 words the charges will be the same.

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4x + 3y = 24
Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each. If the given
equation represents this situation, which of the following is the best interpretation of 24 in this context?
A The total cost, in dollars, for all binders purchased
B The total cost, in dollars, for all notebooks purchased
C The total cost, in dollars, for all binders and notebooks purchased
D The difference in the total cost, in dollars, between the number of binders and notebooks purchased

Answers

Answer:

C The total cost, in dollars, for all binders and notebooks purchased

Step-by-step explanation:

x = the cost of a binder

y =  the cost of a notebook

Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each.

4x + 3y = 24

If the given equation represents this situation, which of the following is the best interpretation of 24 in this context?

The total cost, in dollars, for all binders and notebooks purchased.

Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?

Answers

Answer:

7 miles

Step-by-step explanation:

hey

minus 1.30 from 31.05 because that is the pickup fee, so 31.05-1.30= 29.75

and then divide 29.75 by 4.25 therefore 29.75/4.25=7

John runs a cake bakery in his home town he wants to bake a chocolate cake needs 3 1/4 of melted chocolate milk and 2 1/2 of melted dark chocolate milk much will he need together?

Answers

Answer:

J.o.i.n p.l.z zfd-isvq-wrr

In Alaska, the lowest temperature ever recorded is -80 degree F and the highest temperature ever recorded is 100 degrees F. Write an inequality that represents the range of temperatures (in degrees Celsius) in Alaska.

Answers

The equivalent temperature range of the expression is -80 < x < 100.

Inequality expressions

Inequality are expressions not separated by an equal sign. Inequality expressions can be written as a range in an interval form a<x<b.

According to the given question, we are told that the lowest temperature ever recorded in Alaska is -80 degree F and the highest temperature ever recorded is 100 degrees F.

The range of the temperature expressed as inequality expression is -80<x<100

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Enter the angle measures of ABC

Answers

The angles in the picture are calculated and their values are as follows:

< ABC = 37.63 degrees < BCA = 72.55 degrees< CAB = 69.82 degrees

How to solve for the angles <ABC,  <BCA and < CAB

Given data

a = 3

b = 3.2

c = 5

using cosine rule for <ABC

b^2 = a^2 + c^2 - 2ac cos B

2ac cos B = a^2 + c^2 - b^2

cos B = (a^2 + c^2 - b^2) / 2ac

cos B = (3^2 + 5^2 - 3.2^2) / 2*3*5

cos B = 23.76/30

B = arc cos (0.792)

B = 37.63 degrees

using sine rule for <BCA

sine B / b = sin C / c

sin 37.63/ 3.2 = sim C / 5

C = arc sin (0.954)

C = 72.55

solving for <CAB

< CAB = 180 - 72.55 - 37.63

< CAB = 69.82 degrees

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omg yall someone help me solve this!!!! Simplify (6n) to the power of -2

Answers

Answer=0.027777777777778

Step-by-step explanation: = 6−2

=162

=16×6

=136

Look at the division problem below. 9,654 ÷ 31 Which of the following is the first step to solving this division problem? A. 650 ÷ 31 B. 9,600 ÷ 31 C. 54 ÷ 31 D. 9,000 ÷ 31

Answers

Answer:  B

Step-by-step explanation:

Answer:

B is your answer

Step-by-step explanation:

Hope its right

4. Use the graph for the following:

Please answer
Picture is included

Answers

Answer:

(a) 9

(b) -2

Step-by-step explanation:

it is very important to start by finding the equation of the line then substitute in some values.

Yellow Bell Farm delivered eggs to various stores around the Hudson Valley. If all the eggs were delivered in cartons that hold a dozen eggs, then how many cartons were delivered?

Answers

34 cartons were delivered by the Yellow Bell Farm to various stores in the Hudson Valley.

Let the farm deliver 408 eggs to various stores around the Hudson Valley.

According to the question, a carton contains a dozen eggs.

A dozen is a grouping of twelve objects. It is abbreviated as doz or dz.

1 dozen = 12 eggs

So one carton contains a dozen eggs, or 12 eggs and

12 eggs needs 1 cartoon.

408 eggs needed = 408÷12 = 34 cartons

So 34 cartons were delivered by the yellow farm.

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Eddie spends 2.75 on choclate and 1 on cake he has 2/3 0f money left over how much did he start with

Answers

Answer:

11.25

Step-by-step explanation:

x/3 = 3.75
x = 11.25

Work has been corrected:

If x - 3.75 = 2/3, then x/3 = 3.75 (3.75 is 1/3 of the total money, X.)

We can find the value of x by isolating the variable:

x/3(3) = 3.75(3)
x = 11.25

Thus the total money, x, is 11.25

Solve this problem by setting up ratios with the information you know.

You know:

Eddie spent 3.75 total on chocolate and cake.He has 2/3 of his money left over after buying chocolate and cake

With this information, you can assume that he used 1/3 of his money.

With this set up a ratio comparing the numerical amount he spent to the ratio of his total money that he spent:

[tex]\frac{1}{3} =\frac{3.75}{x}[/tex]

x= the total amount of money he started with.

Now cross multiply to come up with a final equation:

x = 3.75 × 3

Solve: x = 11.25

The original amount of money he started with was $11.25

how many times larger is Florida than new Jersey?​

Answers

Florida (US) is 7.53 times as big as New Jersey (US).

New Jersey is approximately 19,211 sq km, while Florida is approximately 139,670 sq km, making Florida 627% larger than New Jersey. Meanwhile, the population of New Jersey is ~8.8 million people (10.0 million more people live in Florida).

Florida (US)

Florida is a state located in the southeastern region of the United States. With a population of over 21 million, Florida is the third-most populous and the 22nd-most extensive of the 50 United States. The state is bordered to the west by the Gulf of Mexico, to the northwest by Alabama, to the north by Georgia, to the east by the Atlantic Ocean, and to the south by the Straits of Florida. The state's capital is Tallahassee and its most populous municipality is Jacksonville. The Miami metropolitan area, with a population of almost 6.2 million, is the most populous urban area in Florida and the seventh-most populous in the United States.

New Jersey (US)

New Jersey is a state in the Mid-Atlantic region of the Northeastern United States. It is bordered on the north and east by the state of New York; on the east, southeast, and south by the Atlantic Ocean; on the west by the Delaware River and Pennsylvania; and on the southwest by Delaware Bay and the State of Delaware. New Jersey is the fourth-smallest state by area but the 11th-most populous, with 8,882,190 residents as of 2019 and an area of 8,722.58 square miles, making it the most densely populated of the 50 U.S. states.

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