Suppose about 900,000 people live in an area of 1,800 square miles. What is the best estimate for the population density?

Answer:

35

Step-by-step explanation:

[tex]d=-2\\n=4\\a_4=a_1+3d\\if\; a_1=41\; then\; a_4=41+3\times(-2)=41-6=35[/tex]

Answer:

The number of years in which house value goes up is 145 years .

Step-by-step explanation:

Given as :

The initial purchased value of the house = p = $179,300,00

The value of house goes up every years at the rate = r = 4%

Let The number of years in which house value goes up = t  years

The value of the house after t years = $A = $5197,230,002

Now, According to question

The value of the house after t years = The initial purchased value of the house × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

I.e A = $p × [tex](1+\dfrac{\textrm r}{100})^{\textrm t}[/tex]

Or,$5197,230,002 = $17930000 × [tex](1+\dfrac{\textrm 4}{100})^{\textrm t}[/tex]

Or, [tex]\dfrac{5197,230,002}{179,300,00}[/tex] = [tex](1+\dfrac{\textrm 4}{100})^{\textrm t}[/tex]

Or, 289.86 = [tex](1.04)^{t}[/tex]

Now, taking Log both side

So, [tex]Log_{10}[/tex]289.86 = [tex]Log_{10}[/tex] [tex](1.04)^{t}[/tex]

or, 2.462 = t ×  [tex]Log_{10}1.04

or, 2.462 = t × 0.01703

∴ t = [tex]\dfrac{2.462}{0.01703}[/tex]

I.e t = 144.56 ≈ 145

So, Number of years = t = 145 years

Hence The number of years in which house value goes up is 145 years . Answer

To determine the number of years it will take for the value of Isaac's house to reach $5,197,230.002 with an annual appreciation rate of 4%, use the compound interest formula. Solving for the number of years, the approximate result is 84 years.

Isaac purchased a house for $179,300. Every year, the value of the house increases by 4%. To determine the number of years after purchase that the value of Isaac's house will reach $5,197,230.002, we can use the formula for compound interest:

FV = PV × (1 + r)ⁿ

We need to solve for n in the equation:  

First, isolate the exponential expression:

Next, apply the natural logarithm to both sides to solve for n:

So, the value of Isaac's house will reach $5,197,230.002 approximately 84 years after purchase.

The volume of the rectangular prism is b. 20 cubic cm

What is the volume of the rectangular prism?

From the question, we have the following parameters that can be used in our computation:

the rectangular prism

Where, we have

Length = 2

Height = 2

Width = 5

The volume of the rectangular prism is the product of the dimensions

So, we have

Volume = 2 * 2 * 5

Volume = 20 cubic cm

Hence, the volume of the rectangular prism is b. 20 cubic cm

Answer:

30%

Step-by-step explanation:

1.) subtract 3200 and 2240. Since you need to find the amount of people who were satisfied with the car.

2.) divide 960 and 3200. this is because you need to find the percent of people who were satisfied with the car.

Answer: 30%

The percentage satisfied with the purchase is 30%

The percentage who were satisfied can be calculated thus :

Difference = 3200 - 2240 = 960

Now we have :

(960 / 3200) × 100%

= 0.3 × 100%

= 30%

Hence, percentage who were satisfied is 30%

Answer:

deze nuts thanks u

Step-by-step explanation:

Answer: thank

Step-by-step explanation:

you

Answer: Two students are the same age but have different heights.

Answer:

OPTION C: y = -2y² - 8y - 8

                    x = y + 2

Step-by-step explanation:

The given equations are:

[tex]$ y = -2x^2 \hspace{20mm} \hdots (1) $[/tex]

[tex]$ y = x - 2 \hspace{20mm} \hdots (2) $[/tex]

From Equation (2), we get:

x = y + 2

Substituting this value of x in Equation (1), we get:

y = -2(y + 2)²

Expanding it in [tex]$ (a + b)^2  = a^2 + 2ab + b^2 $[/tex], we get:

y = -2{y² + 4y + 4}

⇒ y = - 2y² - 8y - 8

Therefore, OPTION C is the answer.

Answer: C on edge 2022

Step-by-step explanation:

if wrong i’m gay and Bidens a good president *they almost all suck anyways*

Answer:

Step-by-step explanation:

You are expected to know and make use of the following relations:

__

For this problem, it isn't always easiest to work the questions in order. It is best to start with the angles easiest to find from those given.

  b and 144° are a linear pair, so b = 180° -144° = 36°

  a and b are alternate interior angles, so a = b = 36°

  2d and 144° are corresponding angles, so d = 144°/2 = 72°

  e is the apex angle of an isosceles triangle with base angles 36°, so is 180° -2(36°) = 108° = e

  f and 164° are a linear pair, so f = 180° -164° = 16°

  g and f are complementary, so g = 90° -16° = 74°

  g+h is a vertical angle with 144°, so is congruent to that. h = 144° -74° = 70°

  c is the base angle of an isosceles triangle with b as the vertex angle. That means c = (180° -36°)/2 = 72°

Answer:

2. 7/4 and 1  3/4

3. 5/3 and 1 2/3

4. 14/5 and 2 4/5

5.  21/6 and 3 3/6 (Lowest terms=3  1/2)

6. 20/8 and 2 4/8 (lowest terms= 2 1/2)

Hope it helped!!

Answer:

A.  1/2.

Step-by-step explanation:

The ratio of the sides of a 30-60-90 triangle  is 2:1:√3   where  2 is the hypotenuse. 1 is the shortest leg and √3 is the longest leg.

In the diagram we see that the longest leg is opposite the 60 degree angle.

So the longest leg is 3.5√x and  the shortest leg ( from applying the ratios) = 3.5√x / √3.

and the hypotenuse is  2 *  3.5√x / √3    (using the ratios again).

So sin  30 = shortest leg / hypotenuse =  3.5√x / √3 /  2 *  3.5√x / √3

= 1/2.

Answer: 24times

Step-by-step explanation:

Formula for the volume of a cylinder                         = πr²h

Volume of the cone                                                      = 1/3πr²h

Therefore the volume of the cylinder               = 22/7 x 10² x 20

                                                                     = 22/7 x 10 x 10 x 20

                                                                                = 6285.71cm³

Therefore , the volume of the cone             = 1/3 x 22/7 x 5² x 10

                                                                     = 1/3 x 22/7 x 5 x 5 10

                                                                                  = 5500/21

                                                                                  = 261.9cm³

Therefore the number of times needed to use the completely filled cone to completely filled the cylinder with water                                                                                                                       = 6285.71/261.9

                                                                                = 24times.

Answer:

Below in bold.

Step-by-step explanation:

a, That would be

m = 7 + 8(d - 1)    where m = the no. of minutes and d = the day number.

b.   On day 9  the number of minutes m =  7 + 8(9 - 1)

= 7 + 64

= 71.

Answer:

yes

Step-by-step explanation:

Answer:

Yes. This is called a solution of the equations and is the intersection point.

Answer:

Maya = $1260

Emily = $5040

Step-by-step explanation:

2740+3560 =6300

M + (4M) = 6300

5M=6300

M=6300/5

M=1260

E=5040

Maya has $1260, and Emily has $5040 in the end. Maya gives $1480 to Emily.

Maya has $2740, and Emily has $3560.

We're looking for the amount Maya gives to Emily so that Emily ends up with 4 times as much as Maya.

Let M be the amount Maya gives to Emily.

Emily ends up with 4 times Maya's amount:

Emily's amount = 4 * Maya's amount

$3560 + M = 4 * ($2740 - 4M

Simplify:

$3560 + M = $10960 - 4M

$3560 + M + 4M = $10960

5M = $10960 - $3560

5M = $7400

Divide by 5 to solve for M:

M = $7400 / 5

M = $1480

So, Maya gives $1480 to Emily.

To find how much each girl has in the end:

Maya: $2740 - $1480 = $1260

Emily: $3560 + $1480 = $5040

Maya has $1260, and Emily has $5040 in the end.

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Answer:

8 CD's for $56.99 is better value than 3 CD's for $22.99.

Step-by-step explanation:

We are given that,

Cost of 8 CD's is $56.99 and cost of 3 CD's is $22.99.

Now, to determine which is the better value, we will find the cost of 1 CD in both the cases. The case which will give cost per CD less will represent the better value.

CASE 1 :

Cost of 8 CD's = $ 56.99

So, cost of 1 CD = $ 56.99 ÷ 8 = $ 7.12  (approx.)

CASE 2 :

Cost of 3 CD's = $ 22.99

∴ Cost of 1 CD = $ 22.99 ÷ 3 = $ 7.66 (Approx.)

So, the CD's are available in cheaper rates in the first case in comparison to second case.

So, 8 CD's for $56.99 is better value than 3 CD's for $22.99.

Answer:

The unit cost of 8 CDs for $56.99 is $7.12 and the unit cost of 3 CDs for $22.99 is $7.66.

And the better value is of 8 CDs for $56.99.

Step-by-step explanation:

Given:

8 CDs for $56.99 or 3 CDs for $22.99.

Now, to find the unit cost to determine which is better value.

By using unitary method we find it:

So, to get the unit cost of 8 CDs for $56.99:

If 8 CDs cost $56.99.

Then, 1 CD cost = [tex]56.99\div 8=\$7.12.[/tex]

Thus, the unit cost = $7.12.

Now, to get the unit cost of 3 CDs for $22.99:

If 3 CDs cost $22.99.

Then, 1 CD cost = [tex]22.99\div 3=\$7.66.[/tex]

Thus, the unit cost = $7.66.

Now, on comparing we determine the better value is of 8 CDs for $56.99.

Therefore, the unit cost of 8 CDs for $56.99 is $7.12 and the unit cost of 3 CDs for $22.99 is $7.66.

And the better value is of 8 CDs for $56.99.

Answer:

Step-by-step explanation:

Fractions are always rational.

A --> this is rational because it can be represented by a fraction.

B --> this is irrational because it cannot be represented by a fraction

C --> 1 1/3 is rational because it can be represented as a fraction

D --> 8/526 is rational because it can be represented as a fraction

E --> this is irrational because it cannot be represented by a fraction

F --> this is rational because it can be represented as a fraction

I hope this helps!

Rational numbers can be expressed as the ratio of two integers. From the list provided, the rational numbers are 72/100 (A), 1 1/3 (C), 8/526 (D), and 5/9 (F). The number π (B) is irrational, and it is unclear if 0.212212221... (E) is a repeating decimal, so it cannot be confirmed as rational without additional information.

Rational numbers are numbers that can be written as a fraction, where both the numerator and the denominator are integers and the denominator is not zero.

This includes both terminating and repeating decimals.

Thus, the rational numbers from the list provided are A, C, D, and F.

25 states,  Paulo's family arrived at the reunion at

8:30 A.M. How long do they have before

the trip to Scenic Lake Park?

So the question asks how long it takes.

8:30AM to 10:15AM would be a 1:15 hour difference. This would be the answer to #25.

Let me know if you have any extra questions.

25 states,  Paulo's family arrived at the reunion at

8:30 A.M. How long do they have before

th

Step-by-step explanation:

Answer:

Step-by-step explanation:

(G n m) = [Max, Anael]

(G u S) = [Acel, Action, Anael, Max, Carl, Dario, Carlin, Kia, Barak]

The students appearing for General Knowledge (G) are Acel, Acton, Anael, Max, Carl, and Dario and the students appearing for Math (M) are Barek, Bay, Max, Kai, Anael, and Carlin and the students appearing for Science (S) are Carlin, Acton, Anael, Kai, Dario, and Barek.

To determine the students in each subject set, we need to carefully analyze the table. Let's start with the General Knowledge (G) set. The students listed under General Knowledge are Acel, Acton, Anael, Max, Carl, and Dario.

Next, we move on to the Math (M) set. The students listed for Math are Barek, Bay, Max, Kai, Anael, and Carlin.

Lastly, we look at the Science (S) set. The students listed for Science are Carlin, Acton, Anael, Kai, Dario, and Barek.

To find the intersection students in each subject set, we simply extract the names listed under each subject. When a student appears in more than one subject, we include them in the respective sets accordingly.

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Answer:

$650

Step-by-step explanation:

the child stole $500 then the shopkeeper gave him change of $150 that equals to the amount of money the shopkeeper lost.

working....

$500+$150=$600

Final answer:

The shopkeeper lost a total of $500 due to the child stealing $500, buying items worth $350, and receiving $150 in change.

Explanation:

The question involves determining the total amount of money the shopkeeper lost due to a theft. When the child stole $500 from the cash register and then used some of this money to buy items worth $350, the shopkeeper effectively lost that amount due to the child not legitimately paying for the goods. Furthermore, the child received $150 in change when they used the stolen money to pay for the items. Therefore, the total money lost by the shopkeeper is the sum of the cost of the goods taken and the change given out, which amounts to $350 + $150, equating to a total loss of $500.

Answer:

The system cannot be solved by a unique cost for each soldier

Step-by-step explanation:

The correct question is

The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legionaries and 3 archers. It only costs 3 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables.

Can we solve for a unique cost for each soldier?

Let

x-------> the cost of a legionary per day

y-------> the cost of an archer per day

we know that

[tex]3x+3y=10[/tex]

isolate the variable y

subtract 3x both sides

[tex]3y=10-3x[/tex]

Divide by 3 both sides

[tex]y=-x+\frac{10}{3}[/tex] ------> equation A

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

isolate the variable y

subtract x both sides

[tex]y=-x+3[/tex] ------> equation B

Remember , If two lines are parallel, then their slopes are equal

In this problem Line A and Line B are parallel lines, because their slopes are equal.

we know that that the solution of the system of equations is the intersection point both graphs

If the lines are parallel, then the lines don't intersect

see the attached figure to better understand the problem

therefore

The system has no solutions (Is a inconsistent system)

Answer:

C) y=0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-0)/(5-5)

m=-2/0

m=0

y-y1=m(x-x1)

y-0=0(x-5)

y-0=0

y=0+0

y=0

Answer:

x=5

Step-by-step explanation:

a

Answer:

54mph

Step-by-step explanation:

Answer:

= 54 miles per hour

Showing WorkThis is a fraction equal to

324 miles ÷ 6 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 6

324 miles

÷ 6

6 hours

÷ 6

=

54 miles

1 hour

=

54 miles

hour

= 54 miles per hour

Answer:

Step-by-step explanation:

Speed v = distance d/ time t

v = 324/6

v = 54miles/hr

Answer:

Area of ABCD = 100m²

Step-by-step explanation:

Area of a square is the square of the side.

A = s²

A = (10m)² = 10²m² = 100m²

Answer:

Area of ABCD = 100m²

Step-by-step explanation:

Answer:

The radius of Astrodome is 355.09 foot,

The Area of Astrodome is 395919.146 square foot .

Step-by-step explanation:

Given as :

The circumference of Astrodome = 2230 foot

∵ The circumference of circular shape = 2 × [tex]\pi[/tex] × radius

where  [tex]\pi[/tex] = 3.14

So, The circumference of Astrodome = 2 × [tex]\pi[/tex] × radius

Or, 2230 foot = 2 × 3.14 × radius

Or, 2230 foot = 6.28 × radius

∴ radius = [tex]\dfrac{2230}{6.28}[/tex]

I.e radius = 355.09 foot

Now,

∵The area of circular shape = [tex]\pi[/tex] × radius²

So, The area of Astrodome = [tex]\pi[/tex] × radius²

Or, The area of Astrodome = 3.14 × radius²

Put the value of radius = 355.09 foot

So , The area of Astrodome = 3.14 × (355.09)²

or, The area of Astrodome = 3.14 × 126088.9

∴  The area of Astrodome = 395919.146 square foot

Hence , The radius of Astrodome is 355.09 foot, and The Area of Astrodome is 395919.146 square foot . Answer

Answer:

Option C. [tex]64\ cm^2[/tex]

Step-by-step explanation:

see the attached figure N 1 to better understand the problem

we know that

The trapezoid can be decomposed into two right triangles and a rectangle

see the attached figure N 2

so

The area of the trapezoid is equal to the area of two right triangles and one rectangle

The area of trapezoid is equal to

[tex]A=\frac{1}{2}(5)(4)+(12)(4)+\frac{1}{2}(3)(4)[/tex]

[tex]A=10+48+6[/tex]

[tex]A=64\ cm^2[/tex]

Answer:

[tex]A(s)=s^2[/tex]

Step-by-step explanation:

we know that

The square  is a regular polygon that has four right angles and four parallel and congruent sides.

The area of a square is equal to the length side squared

Let

s ----> the length side of the square

we have that

[tex]A(s)=s^2[/tex]

r = 30 cm

formula: A = πr²

A = πr²

A = π30²

A = 900π

if π = 3.14, then the answer is 2,826 cm

if π is not defined, the answer is 2,827.43 cm