The city limits of Las Pythagoras form a perfect shape of an isosceles right triangle whose legs are both 25 2525 kilometers long. The population in Las Pythagoras is 100 , 000 100,000100, comma, 000 people. What is the population density of Las Pythagoras?

Answers

Answer 1

320

Step-by-step explanation:


Related Questions

When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be between 33 and 35 minutes, to the nearest tenth?

Answers

Answer:

[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]

And we can find the probability of interest with this difference

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]

And if we use the normal standard table or excel we got:

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]

And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %

Step-by-step explanation:

Let X the random variable that represent the times to conmutes to work of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(41,3)[/tex]  

Where [tex]\mu=41[/tex] and [tex]\sigma=3[/tex]

We are interested on this probability

[tex]P(33<X<35)[/tex]

And we can solve the problem using the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And using this formula we got:

[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]

And we can find the probability of interest with this difference

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]

And if we use the normal standard table or excel we got:

[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]

And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %

See question above
A) 7.2 cm
B) 9 cm
C) 10.6 cm
D) 12 cm

Answers

Answer:

B) 9 cm

Step-by-step explanation:

Just look at the triangle and use Pythagoras theoreum.

a² + b² = c²

a = 9 9 - 4.9 = 5

b = ?

c = 10

5² + b² = 10²

b² = 100 - 25

b² = 75

b = + - SQRT( 75 )

{Only the positive term has a meaning here.}

b = 8.66 rounded that is 9, which is answer B.

What is the value of x in this equation 9 + 9 = 3(x - 6)?

Answers

Answer: [tex]x=12[/tex]

Step-by-step explanation:

[tex]9+9=3(x-6)[/tex]

simplify: add the 9's together and distribute the 3

[tex]18=3x-18[/tex]

add 18 to both sides

[tex]36=3x[/tex]

divide by 3

[tex]12=x[/tex]

[tex]x=12[/tex]

Determine the scale factor from the point A(2, 6) of DEF to D’E’F’ where D(-8, 6), E(-8, 14), F(2, 3) (- 3, 6) and D’ (-3, 6) E’(-3, 10) and F’(2, 4.5) What is the scale factor?

Answers

Answer:

The scale factor to transform DEF to D'E'F' is 1/2

Step-by-step explanation:

DEF is

D(-8, 6), E(-8, 14), F(2, 3)

D'(-3, 6), E'(-3, 10), F'(2, 4.5)

Therefore;

DE = √((-8-(-8))²+(6-14)²) = 8

D'E' = √((-3 -(-3))² + (6 - 10)²) = 4

Similarly,

EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221

E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2

Also

DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109

D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2

Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2

That is the scale factor of DEF to D'E'F'  = 1/2.

What is the sum of the geometric series 2+6+18+...+486?

Answers

Answer:

728

Step-by-step explanation:

2+6+18+...+486

a=2

r=6/2=3

[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]

What is the range of the function y= e^4x

Answers

Answer:

The answer would be {y|y>0}

Step-by-step explanation:

hope this helps

A tablet manufacturer tested 125 tablets and found that 2 had broken screens. how many broken screens should the manufacturer expect out of 45000 tablets?

Answers

Answer:

720

Step-by-step explanation:

125tablets, 2 of which had broken screens.

multiply 45000 by 2, then divide 125=720

Answer:

720

Step-by-step explanation:

125 tablets, 2 of which had broken screens.

Multiply the 45,000 by 2, then divide by 125.

So therefore, the answer is 720.

odún and aderonke have 6:4 in 80 units of transcorp's share. how many units of this shares belong to odún​

Answers

Answer:48

Step-by-step explanation:

Answer:

48 pecies

Step-by-step explanation:

Odun's share=80x 6/10

Odun's share=48

Hope you understand

Gonna need this in like 5 hrs please help

Answers

Answer:

G. Oatmeal is the favorite type of cereal for 15% of the children

Step-by-step explanation:

Oatmeal is 15/50 of the students' favorites, so it would actually be 30% therefore it is not supported. Hope this was helpful! :)

What is the quotient?
(-3)^0 / (-3)^2 = ?

A: -9

B: -1/9

C: 1/9

D: 9

Answers

Answer:

Step-by-step explanation:

Quotient means result of division

anything raised to 0 is 1

(-3)^0 = 1

(-3)^2 = -3 * -3 = 9

Quotient = 1/9

Answer:

1/9

Step-by-step explanation:

If 2.6( d +1.4 )- 2.3d= 4,what is d?

Answers

Answer:

1.2 units

Step-by-step explanation:

2.6(d + 1.4) - 2.3d = 4

2.6d + 3.64 - 2.3d = 4

0.3d + 3.64 = 4

0.3d = 0.36

d = 1.2

A trapezoid was broken into a triangle and rectangle. The base of the triangle b is ______cm.

Answers

B is 2 cm. Did you leave out some of the question

A hemisphere has a diameter of 48 inches. What is the volume of the
hemisphere? Use 3.14 for and round to the nearest tenth.

Answers

Answer:

9,216π or 28,938.2 meters³

Step-by-step explanation:

Given: diameter 48 inches

Radius 24 inches

Note:

Volume of hemisphere = volume of sphere / 2

Volume of hemisphere = 1/2 • 4/3 • πr³

= 1/2• 4/3×π×24³

= 1/2•18432π

= 9,216π

= 28,938.2 meters³

1. f(x)=0.5x-1.5x +1I 4x<-1-1sx53 x>3

Answers

Answer:

sorry dont know

Step-by-step explanation:

good luck tho

\

f(x) = 0.5x-1.5x+1

4x<-1

-1 ≤ x ≤ 3

x < 3

how do you do pythagorean ​

Answers

Answer:

a²+b²=c²

Step-by-step explanation:

a and b are the short legs of the triangle and c is the long edge (the hypotenuse). so if you take leg a and square it, then add it to leg b and square it then you will get the length of the hypotenuse

Zugo delivers muffins for the Pastry-and-Muffin company. Each muffin is packed in its own
little box. An individual muffin box has the shape of a cube, measuring three inches on
each side. Zugo packs the individual muffin boxes into a larger box. The larger box is also
in the shape of a cube, measuring two feet on each side. How many of the individual
muffin boxes can fit into the larger box?

Answers

Answer:

  512

Step-by-step explanation:

You can figure this a couple of ways.

1) Figure the number of muffin boxes that goes into each dimension of the larger box:

  (2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.

Then the total number of muffin boxes that will fit in a larger box is ...

  8×8×8 = 512

512 muffin boxes can fit into the larger box.

__

2) The volume of a muffin box in cubic feet is ...

  ((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3

The volume of a larger box in cubic feet is ...

  (2 ft)^3 = 8 ft^3

Then the number of smaller boxes that will fit in the larger box is ...

  (8 ft^3)/(1/64 ft^3) = 8×64 = 512

512 muffin boxes can fit into the larger box.

A certain circle can be represented by the following equation. x^2+y^2+8x-16y+31=0x 2 +y 2 +8x−16y+31=0x, squared, plus, y, squared, plus, 8, x, minus, 16, y, plus, 31, equals, 0 What is the center of this circle ? ((left parenthesis ,,comma ))right parenthesis What is the radius of this circle ? units

Answers

Answer:

center = [tex](-4,8)[/tex]

Radius = 7 units

Step-by-step explanation:

Given: Equation of circle is [tex]x^2+y^2+8x-16y+31=0[/tex]

To find: Radius and center of the circle

Solution:

Equation of circle is [tex](x-a)^2+(y-b)^2=r^2[/tex]

Here, [tex](a,b)[/tex] is the center and r is the radius.

[tex]x^2+y^2+8x-16y+31=0\\\left [ x^2+2(4)x+4^2 \right ]+\left [ y^2-2(8)y+8^2 \right ]+31=4^2+8^2[/tex]

Use formula [tex](u+v)^2=u^2+v^2+2uv[/tex]

[tex](x+4)^2+(y-8)^2=16+64-31\\(x+4)^2+(y-8)^2=49=7^2[/tex]

On comparing this equation with equation of circle,

center = [tex](-4,8)[/tex]

Radius = 7 units

Answer:

center: (4,-4)

Radius: 9

Step-by-step explanation:

KHAN ACADEMY

please answer my question −4y−4+(−3)

Answers

Answer:

-4y - 7

Step-by-step explanation:

−4y−4+(−3)

Combine like terms

-4y - 7

Answer:

5

Step-by-step explanation:

y= 4+ 4 - 3

What is 8000000000x183838484747474747474747474

Answers

Answer:

1.47070788E36

Step-by-step explanation:

a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent​

Answers

He gains $1.40 when marking up the price after Rs $9.60 but loses a $1 keeping it lower the rs’s $12

Calculate (full working out)
5.16 x 2.93 =

Answers

The answer is 15.1188

what is the domain and range of this graph? ​

Answers

Answer:

Domain- {-2,2}

Range-{-3,2}

Step-by-step explanation:

Find each boundary of the line and make the corresponding points because its a continuous line.

(x - 3)2
k.
+ 2x - 4 for x = 5

Answers

Answer:

4k + 6

Step-by-step explanation:


A chocolate factory made 708.6 pounds of dark chocolate in 6 days. How much dark chocolate, on average, did the factory make per day?
A) 116.76
B) 117.66
C) 118.10
D) 118.43

Answers

Answer: it’s answer C.

Step-by-step explanation: 708.6 ÷ 6 = 118.1(0)

Answer:

c

Step-by-step explanation:

The number of cameras produces since May at a plant can be modeled by the function N(m)=50m+600 and the cost per camera can be modeled by C(m)=4m^2-15m+45, where m is the number of months since May. According to this model, what is the total amount of revenue generated by the plant's camera production on September?

Answers

Answer:

39200

Step-by-step explanation:

Revenue = number of cameras * cost

R(m) = N(m) * C(m)

        = (50m+600) * (4m^2-15m+45)

The months since may is June July August September = 4 months

R(4) = (50*4+600) * (4*4^2-15*4+45)

        (200+600) * (64-60+45)

           800*49

                39200

Answer:

39,200

Step-by-step explanation:

September is 4 months after may, so m = 4

No. of cameras:

N(4)=50(4)+600 = 800

Cost per camera:

C(4)=4(4²)-15(4)+45 = 49

Total cost:

N × C

800 × 49

39200

how many times does 6 go into 29

Answers

Answer:

4 times

Step-by-step explanation:

Answer:

4.8333333 or 4 5/6 times

Step-by-step explanation:

29/6 = 4.83333333

Enunciado: Traza la gráfica de la función. Traza también la gráfica de la asíntota, si es distinta al eje de x o al eje y. Define el Rango y el Dominio. h(x)=log(1/3) x

Answers

Answer:

The given function is

[tex]h(x)=log_{\frac{1}{3} } (x)[/tex]

It's important to know that logarithms are the opposite function to exponentials, which means their domains and ranges are defined the opposite way.

The domain of logarithms is restricted, because negative numbers or the zero is not allowed in their domains. So, the domain of this function is: [tex]D:(0, infinite][/tex]

On the other hand, its range is not restricted, so it's defined: [tex]R: (infinite, -infinite)[/tex]

The image shows the graph of this function, there you can observe its domain and range set definitions.

Brenda and Jasmine are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of double chocolate cookie dough. Brenda sold 6 packages of chocolate chip cookie dough and 4 packages of double chocolate cookie dough for a total of $86. Jasmine sold 3 packages of chocolate chip cookie dough and 5 packages of double chocolate cookie dough for a total of $85. What is the cost each of one package of chocolate chip cookie dough and one package of double chocolate cookie dough?

Answers

Answer:

one package = $5. / double package= $14

Step-by-step explanation:

Lets say x is a package and y a double package

6x + 4y = $86

2(3x + 5y = $85)

6x + 10y = $170

-6x -4y. -86

6y = $ 84

÷6. ÷6

y= $14

6x +4y = $86

6x + 4($14) = $86

6x + $56 = $86

-56. -56

6x = $30

÷6. ÷6

x = $5

Answer:

chocolate chip = 5

double chocolate chip=14

Step-by-step explanation:

c = chocolate chip

d = double chocolate chip

Brenda

6c+4d = 86

Jasmine

3c+ 5d = 85

Multiply the second equation by -2

-6c -10d = -170

Add this to the first equation

-6c -10d = -170

6c+4d = 86

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

   - 6d = -84

Divide by -6

-6d /-6 = -84/-6

d =14

Now we can find c

3c+ 5d = 85

3c+5*14 = 85

3c +70 = 85

Subtract 70

3c = 85-70

3c = 15

Divide by 3

3c/3 = 15/3

c = 5

What is the difference between a rectangular prism and a triangular prism?
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
A rectangular prism has two bases, while a triangular prism has one base,
A triangular prism has two bases, while a rectangular prism has one base.
A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces.
Dintro
Done

Answers

Answer:

The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.

Step-by-step explanation:

Any prism has two bases.  Since we are talking about a rectangular prism and a triangular prism both must have two bases.

For example, a square prism has two bases and they are both square.

In this case a rectangular prism has two bases that are rectangles and a triangular prism also has two bases and both bases are triangles.

Note: For the figure to have only one base it must be called a pyramid.

Thus, the answer is:

The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles

Answer:

a

Step-by-step explanation:

helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones

Answers

Answer:

We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.

Hope this helps!

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