A circular region has population of about 15,500 people and a population density of about 775 people per square kilometer find the radius of the region

Answers

Answer 1

Answer:

Radius of the region = 2.5 km (Approx)

Step-by-step explanation:

Given:

Total population = 15,500

Density = 775 people per square kilo meter

Find:

Radius of the region

Computation:

Total ares = 15,500 / 775

Total ares = 20 km

Total ares = πr²

20 = (22/7)r²

r² = 6.363636

r = 2.52

Radius of the region = 2.5 km (Approx)


Related Questions

which of the following polynomials is in standard form (Picture)

Answers

Answer:

D

Step-by-step explanation:

A polynomial in standard form has the terms in ascending order.

In other words, the term with the largest degree is on the left, followed by the term with the second largest degree, etc.

The largest term in this polynomial is 2x³. Thus, we need to start with that.

The only choice that starts with 2x³ is choice D.

Thus, choice D is in standard form.

And examining choice D, we see that it is in ascending order all the way through.

Solve 2x^2+x=15. Please

Answers

Answer:

x=(5/2,-3)

Step-by-step explanation:

2x²+x=15

2x²+x-15=0

(2x-5)(x+3)=0

x=(5/2,-3)

Move all terms to the left and set the equal to zero. the. set each factor to equal zero you would get x=5/2, -3

find the length of the missing side of the right triangle.​

Answers

Here you are trying to find the hypotenuse. So you would take
5^2 (five squared) plus 12^2 (twelve squared) and add them using the equation a^2+b^2= c^2. Now you square 5 and 12 to get 25 and 144. You add them together and get 169. Take the square root of 169 and c. The square root on c will cancel out the squared (to the power of two) part leaving you with just c. And the square root of 169 is 13. So c (the missing length) is 13. C=13.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{13 \: \: units \: }}}}}[/tex]

Step-by-step explanation:

Perpendicular ( p ) = 5

Base ( b ) = 12

Hypotenuse ( h ) = ?

Finding the length of missing side

Using Pythagoras theorem

[tex] \boxed{ \sf{ {h}^{2} = { p}^{2} + {b}^{2} }}[/tex]

plug the values

⇒[tex] \sf{ {h}^{2} = {5}^{2} + {12}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{ {h}^{2} = 25 + 144}[/tex]

Add the numbers : 25 and 144

⇒[tex] \sf{ {h}^{2} = 169}[/tex]

Squaring on both sides

⇒[tex] \sf{ \sqrt{ {h}^{2} } = \sqrt{169}} [/tex]

Calculate

⇒[tex] \sf{ {h} = 13 \: units}[/tex]

Hope I helped!

Best regards! :D

How is the intersection point of two linear functions related to solving
a linear equation?

Answers

Answer:

Linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.

Step-by-step explanation:

If we have two linear functions f(x) and g(x) which are intersecting at a point (a,b), then equating both functions we get a linear equation as

[tex]f(x)=g(x)=y[/tex]

On solving this linear equation we get the x-coordinate of the point of intersection, i.e., x=a.

After that, we need to substitute x=a in either f(x) or g(x) to get the y-coordinate of the point of intersection.

Therefore, the linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.

Is 9 a prime or composite number?​

Answers

Answer:

Composite

Step-by-step explanation:

A whole number that can be divided exactly by numbers other than 1 or itself. Example: 9 can be divided exactly by 3 (as well as 1 and 9), so 9 is a composite number

9 is a composite number. a prime number is a number that you can only get by multiplying itself and one. for example, 17 is a prime number because you can only multiply 17 and 1 to get 17. for 9, you can do 3 times 3 to equal 9, therefore labeling it as composite, which means it has more than one multiple to get the answer of 9.

You earn $28 for washing 7 cars. How much do you earn for washing 6 cars?

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Since you can earn 28 dollars by washing 7 cars, and you want to find the amount money you can make by washing 6 cars.

[tex]\frac{28}{7} = \frac{x}{6}[/tex]

First, you should find the amount of money you can make by washing 1 car (unit rate).

[tex]\frac{28}{7} = \frac{x}{1}[/tex]

To get from 7 to 1, you have to divide 7 by 7; 7 ÷ 7 = 1.

Do the same thing to the numerator; 28 ÷ 7 = 4.

Now you know how much you make by washing 1 car, you need to find how much you make by washing 6 cars.

[tex]\frac{4}{1} = \frac{x}{6}[/tex]

To get from 1 to 6, you multiply by 6. 1 times 6 equals 6.

Now do the same thing to the numerator; 4 × 6 = 24.

You can earn 24 dollars by washing 6 cars.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Your answer 5. You earn $9.65 per hour. This week, you earned $308.80 before taxes. Write and solve an equation to find the number of hours you worked this week. ​

Answers

$9.65 per hour

$308.80 before taxes this week

308.80/9.65 = 32 hours this week

The number of hours is 32 hours

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S.

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15.

Cost = $9.65 per hour

$308.80 before taxes this week

Number of hours

=308.80/9.65

= 32 hours this week

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

you have 5814 meters of rope that you need to cut into 27 meters sections. How many 27 meter section of rope will you be able to create, and how much rope will be left over as waste?

Answers

Answer:

215 sections of 27 meters of rope will be created and 9 meters will be left as waste

Step-by-step explanation:

A rope that is 5814 meters long needs to be cut into 27 sections

The number of 27 meter sections of rope that can be created can be calculated by dividing 5814 by 27

= 5814/27

= 215 remainder 9

Hence 215 sections of rope will be created and 9 meters of rope will be left as waste

Solve for q. |q+8|≥2 Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper fractions, or improper fractions in simplest form.

Answers

Answer:

-6≤q≤-10

Step-by-step explanation:

Given the inequality  |q+8|≥2, we are to solve for q. Note that the function inside modulus sign will return both negative and positive value.

For the positive function:

q+8≥2

Subtract 8 from both sides of the inequality.

q+8-8≥2-8

q ≥ -6

For the negative function;

-(q+8)≥2

open the parenthesis

-q-8≥2

add 8 to both sides

-q-8+8≥2+8

-q≥10

Multiply both sides by -1. Note that multiplying both sides of an inequality changes the direction of the inequality sign.

q≤-10

Combining both results i.e q ≥ -6 and q≤-10

q ≥ -6 can also be written as -6≤q

Combining -6≤q with q≤-10, this will give -6≤q≤-10.

Hence the result of the inequality function given is  -6≤q≤-10.

A 0.05-kg car starts from rest at a height of 0.95 m. Assuming no friction, what is the kinetic energy of the car when it reaches the bottom of the hill? (Assume g = 9.81 m/s2.) i dont understand can i get some help?

Answers

Answer:

The kinetic energy of the car is 0.466 J

Correct Answer: A. 0.466 J Explanation: If there is no friction, all of the gravitational potential energy of the car at the top of the hill will be converted to kinetic energy at the bottom of the hill. The potential energy of the car is equal to the product of its mass, height, and gravitational acceleration.0.05 kg • 0.95 m • 9.81 m/s2 = 0.466 J.

IS TODAY MONDAY? IF SO WHAT IS TODAY'S DATE?

Answers

Answer:

yes it is August 24, 2020

Step-by-step explanation:

please give brainiest

Answer:

Step-by-step explanation:

today is  Monday August 24th 2020

Solve using zero product property: 2x^2-5x-6=0

Answers

Answer:

x = (5 + √73) / 4 or (5 - √73) / 4

Step-by-step explanation:

2x² - 5x - 6 = 0

x = [5 ± √(25 - 4(2)(-6)] / 2(2)

x = [5 ± √(25 + 48)] / 4

x = [5 ± √(73)] / 4

x = (5 + √73) / 4 or (5 - √73) / 4)

what is - 5у - 25 = -40​

Answers

Answer:

x=4  

-5y+8x=-18        

linear combination:

cancel out -5y with 5y. combine 8x and 2x

5y+2x=58        

10x. combine -18 and 58 to get 40

10x=40    

40/10=4

So that means..

x=4

-----

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

Answer:

[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{y = 3}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 5y - 25 = - 40}[/tex]

Move 25 to right hand side and change it's sign

⇒[tex] \sf{ - 5y = - 40 + 25}[/tex]

Calculate

⇒[tex] \sf{ - 5y = - 15}[/tex]

Divide both sides of the equation by -5

⇒[tex] \sf{ \frac{ - 5y}{ - 5} = \frac{ - 15}{ - 5} }[/tex]

Calculate

⇒[tex] \sf{y = 3}[/tex]

Hope I helped!

Best regards!!

What single transformation was applied to triangle A to get triangle B? A) Translation B) Rotation C) Reflection D) Dilation

Answers

Answer: D

Step-by-step explanation:

21+17·2−15+1 plz answer

Answers

Answer:

24.2 I think

Step-by-step explanation:

21

+ 17.2

38.2

- 15

23.2

+ 1

24.2

Answer: The answer is 39

Step-by-step explanation: You get this answer by following the PEMDAS stragey. You multiply 17 and 2 to get 34. Next, you add 21 adn 34 to get 55. Next, you subtract 15 from 55 to get 40. Finally,  you subtract 1 from 40 and get 39.

If p - q = 4 and p² - q² = 24, what is the value of p + q?

Answers

Answer:

p=5, q=1

Step-by-step explanation:

5-1=4, 5^2-1^2=24

25-1=24

24=24

I just guessed and checked the solution for the answer

Answer:

p + q = 6

Step-by-step explanation:

p² - q² ← is a difference of squares and factors as

p² - q² = (p - q)(p + q) , then

p² - q² = 4(p + q) = 24 ( divide both sides by 4 )

p + q = 6

easy 10 points and brainliest :)

Answers

Answer:

x < 0  , y > 0

Step-by-step explanation:

In quadrant II, the x variable is less than 0 and the y variable is greater than 0

x < 0  , y > 0

Answer:

x < 0 and y > 0

Step-by-step explanation:

Quadrant II is the upper left quadrant.

In that quadrant, all x values are negative since it's to the left of the y-axis.

In that quadrant, all y values are positive since it's above the x-axis.

Answer: x < 0 and y > 0

Plzzz help, the quicker the better!!!!!!

Answers

Answer:

26

Step-by-step explanation:

here,

the lower angle when sumed,

it is like: 154+a=180 (let angle be a) being supplementary angle sum is 180

so value of a becomes 26

then,

the above angle x is corresponding to angle a (a=x)

So value x is 26

24 A transformation maps A(-1, -2), B(3, 4), and C(2, 4) onto A (3,-4),
B'(7, 2), and C (6, 6). Determine if the transformation is a translation.
Choose all that apply.
vbs, all pairs of corresponding points have moved in the same direction
by the same distance.
No, one or more pairs of corresponding points have not moved the
same distance.
No, one or more pairs of corresponding points have not moved in the
same direction.
Solve it

Answers

Answer:

Hey there!

No, one or more pairs of corresponding points have not moved the

same distance.

Let me know if this helps :)

Jean says that if she multiplies 73×34, her product will automatically be less than 73 because 34 is less than 1, meaning the product will only be a part of 73. Is Jean correct?

Answers

Answer:

Yes, Jean is correct

Step-by-step explanation:

Given

[tex]73 * \frac{3}{4}[/tex]

Required

Determine the value of the result

When a positive integer is multiplied by a fraction, the result is always less than the integer

Solving further

[tex]Expression = 73 * \frac{3}{4}[/tex]

[tex]Expression = \frac{73 * 3}{4}[/tex]

[tex]Expression = \frac{219}{4}[/tex]

[tex]Expression = 54.75[/tex]

The result of the expression shows that the resulting value is less than 73.

Hence, Jean is correct

PLEASE ANSWER THIS QUESTION FAST MY TEST IS GOING I WILL MARK YOU THE BRAINLIEST PLEASE ANSWER FAST ITS URGENT....

Answers

Answer:

I think C 130 probably wrong

Answer:

130 degrees

Step-by-step explanation:

Since there are vertical angles 2x and 3x-50 are the same. So you would do 2x=3x-50. The picture below shows how I got x=50. SO now you know x=50, it's important to remember that line AC equals 180 degrees. So what you nees to do is 180-50 to get what y equals. y should equal 130 degrees.

Someone help me out with this one

Answers

Answer:

Step-by-step explanation:

AB + BC = AC

9x + 7  - 3x + 20 = 39    { combine like terms}

9x  -3x + 7 + 20 = 39

            6x + 27 = 39 {Subtract 27 from both sides}

                     6x = 39- 27

                      6x = 12   {divide both sides by 6}

                    6x/6 = 12/6

x = 2

Help I’m being timed!!!!!!

Answers

Answer: dark blue

8 for a cd and start with $15

Step-by-step explanation: Here, notice that the value that we

don't know is how many CDs are purchased.

Since CD's cost $8, we multiply 8 by our variable, which is x.

So we have 8 times x or 8x.

In addition, since there is a one time fee

of $15 to begin, we add 15 to 8x.

So we have 8x + 15.

Write a simplified expression for the length of AC.
A X + 2 B
7x - 3
AC =
Write a simplified expression for the length of QR.
HELP ME PLASE

Answers

Answer/Step-by-step explanation:

Length of AC:

Given that AB = x + 2, and BC = 7x - 3, therefore,

[tex] (x + 2) + (7x - 3) = AC [/tex] (segment addition postulate)

Simply the expression for the length of segment AC

[tex] x + 2 + 7x - 3 = AC [/tex]

Collect like terms

[tex] x + 7x + 2 - 3 = AC [/tex]

[tex] 8x - 1 = AC [/tex]

Length of QR:

Given that PQ = 8y + 5, and PR = 13y + 25, therefore,

QR = (13y + 25) - (8y + 5) (PQ + QR = PR)

Simplify the expression to for the length of segment QR

QR = 13y + 25 - 8y - 5

Collect like terms

QR = 13y - 8y + 25 - 5

QR = 5y + 20

A gym charges a one-time fee of $75 to join, plus membership dues of $25 per month. Which equation represents the total cost, C, of belonging to the gym for m months? A. C = 25m – 75 B. C = 25m + 75 C. C = 75m + 25 D. C = 75m – 25

Answers

Answer:

C = 75 + 25m

Step-by-step explanation:

The one time fee is 75 and membership dues are 25 per month.

This corresponds to C = 75 + 25m because the one time fee is 75 and each month you pay 25.

Simplify
23 + (8-5) * 4 - 52

Answers

the final answer is -17

Answer:

-17

Step-by-step explanation:

23+(8-5)*4-52

1. Solve parentheses- 8-5=3 so                                        23+3*4-52

2. Then do multiplication- 3*4=12,                                    23+12-52

3. Then add or subtract but go left to right23+12=35     35-52

4. Subtract, 35-52=-17                                                       -17          

 

Answer two questions about Equations A and B: A. 4x+2=6-x B. 5x+2=6 1) How can we get Equation B from Equation A? 2) Are the equations equivalent?

Answers

Answer:

1) To get B from A add x to both sides

2) Yes, A and B are equivalent

Step-by-step explanation:

A..............

4x+2=6-x ⇒ 4x + x = 6 -2 ⇒ 5x = 4

B ..............

5x+2=6 ⇒ 5x = 6 -2 ⇒ 5x = 4

Answer:

1) To get B from A add x to both sides2) Yes, A and B are equivalent

Answer:

1) Add/subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

Jacob is a construction
worker who earns a yearly income given by the expression 2000x + 4000, where X is the number of hours
he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3500x - 40000. A manager
predicts that if Carlos and jacob each work 35 hours, they will earn the same amount of money,

Answers

Answer:

The manager's prediction is false

Step-by-step explanation:

Given

Jacob: 2000x + 4000

Carlos: 3500x - 40000

Required

Determine if both expression will be the same if x = 35

To do this;

Equate both expressions and then solve for x

i.e.

[tex]2000x + 4000 = 3500x - 40000[/tex]

Collect Like Terms

[tex]2000x - 3500x = -4000 - 40000[/tex]

[tex]-1500x = -44000[/tex]

Divide both sides by -1500

[tex]\frac{-1500x}{-1500} = \frac{-44000}{-1500}[/tex]

[tex]x = \frac{-44000}{-1500}[/tex]

[tex]x - 29.3[/tex]

Hence, the manager's prediction is not true because [tex]x \neq 35[/tex]

How to Graph of y=1/2x-4

Answers

Answer and explanation:

We know that this is in slope-intercept form. ( y = mx + b )

1/2 would be the slope (you would use this to graph the next point)

-4 would by your y-intercept (where the line crosses the x-axis)

With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.

Answer:

hope this helps

Step-by-step explanation:

how to do this question plz ​

Answers

Answer:

Nerh they are not enough

Step-by-step explanation:

Depending on the number of people you want to sit at each table.

To avoid compression add more tables

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