In 2006, the U.S. Population (or persons) per square mile of land area was 85. In 2014, the persons per square mile was 89.48.

a. Write an equation describing the relationship between year and persons per square mile. Use ordered pairs of the form (years past 2006, persons per square mile)

b. Use equation on question 7 to predict the persons per square mile in 2023. Round to the nearest whole person.

Answers

Answer 1

In 2006 we have 93.3 people per sq mile .

What is linear equation ?

Linear equation can be defined as equation in which highest degree is one.

In order to determine the equation for this relationship, we need to first find the slope between these two values. There are two ways to do this:

1. Create a graph

*Create a graph with the x-axis representing the years past 2000 (so 2000 would be 0 and 2003 would be 3 and so on)

*Use the fact that slope=rise/run to get slope=2.7/3 (because we rise 87-84.3=2.7 and run 3 (from 2000 to 2003), and 2.7/3=27/30=9/10

*Plug this and the point (0, 84.3) into the formula y=mx+b to find the y-intercept of your equation

--> 84.3=(9/10)(0)+b --> b=84.3

So, your equation can be written now as y=(9/10)x+84.3

[Note: To check, if you plug in 3 you should get 87, and you do, so it works!]

2. Use the slope formula

Alternatively, you could have did slope=(y2-y1)/(x2-x1)=(87-84.3)/(3-0)=2.7/3=9/10

The process here would be the same as above

b) Here, just plug 10 into the equation above (since 10 is the number of years 2010 is after 2000, or 2010-2000=10). Doing this we get:

y=(9/10)(10)+84.3=9+84.3=93.3

So, in 2006 we have 93.3 people per sq mile

Therefore, In 2006 we have 93.3 people per sq mile .

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Related Questions

A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine after the discount and sales tax?

Answers

Answer:

$127.03

Step-by-step explanation:

A snow cone machine price at $139 is on after for 20 off.

The price after discount=139-20=$199

The sale tax rate 6.75%

Price with sales tax=199+(6.75%×199)

=199+(0.0675×199)

= 199+8.03

=$127.03

can someone please help me with thiss!?

Answers

I would first find the volume of the hole and multiply that by 2 because there's 2 holes.

[tex]v = lwh[/tex]

[tex]v = (5)(8)(5)[/tex]

[tex]v = 200[/tex]

[tex]200 \times 2 = 400[/tex]

//

I would then find the volume of the entire cinder block.

[tex]v = lwh[/tex]

[tex]v = (16)(8)(8)[/tex]

[tex]v = 1024[/tex]

//

I would then substract.

[tex]1024 - 400 = 624[/tex]

The volume of the cinder blocks is 624 inches³

The sale price of a model railroad set is $174. If it was marked down to 25% off of the original price, what was the original price?​

Answers

Answer:

$217.50

Step-by-step explanation:

I) Make an equation to find the answer:

o = s + 0.25s (original price = sale price + 25% of sale price)

II) Solve:

o = 174 + 0.25(174)

o = 217.50

If the price was 174 after the mark down of 25%, then adding 25% back will give you the answer.

174 + 25% (which is 43.5) = $217.5

Hope this helps!

Mitchell went to the grocery store and bought 30 bagels. If there are 3 bagels in each pack, how many packs of bagels did Mitchell buy?

Answers

Answer: 10

Step-by-step explanation: 30/3=10

Answer:

10

Step-by-step explanation:

Take the total number of bagels and divide by the number of bagels per package to determine the number of packs

30/3 = 10

He will buy 10 packs

If anyone could answer any of these that would be awesome

Answers

Answer:

10

Step-by-step explanation:

12.)

m = -2 n = -3

Evaluate: m(m + n)

Substitute!

-2(-2 + -3)

Do the parenthesis

-2(-2 -3)

(-2)(-5)

= 10

I hoped this helped

The spinner below is spun. Find the probability,
P(D greater than 1)
What is the numerator for the probability?
What is the denominator for the probability?

Answers

Answer:

5 - numerator

6 - denominator

A right triangle has side lengths,8,15,17 and as shown below.
Use these lengths to find, tan b, cos b, sin b

Answers

Remember the chant "soh cah toa"

sine = opposite ÷ hypotheneus

cosine = adjacent ÷ hypotheneus

tangent = opposite ÷ adjacent

remember that hypotheneus is the slanty side, opposite and adjacent side is in COMPARISON with the angle you want to find.

In this case, tan B would be 15/8

sinB = 15/17

cosB = 8/17

Which of the following formulas is NOT used for finding the volume of sphere, cylinder, or cone?​

Answers

Answer:

i think C

Step-by-step explanation:

Mutiply to get the answer

Find the area of this rectangle.
6 m
9 m
A = [?] m2

Answers

Answer:

The area would be 54 m^2.

A= 54m2

How to:
LxW
6 x 9 =

Exercice 1:
Voici un programme de calcul :
Choisir un nombre
Multiplier ce nombre par 4
Ajouter 8
Multiplier le résultat par 2
1. Vérifier que si on choisit le nombre -0,5, ce programme donne 12 comme résultat final.
2. Le programme donne 34 comme résultat final, quel est le nombre choisi au départ ?
Dans la suite de l'exercice, on nomme x le nombre choisi au départ.
3. L'expression A = 2(4x + 8) donne le résultat du programme de calcul précédent pour un nombre x
donné.
On pose B = (4 + x)2 – x2
Prouver que les expressions A et B sont égales pour toutes les valeurs de x.
4. Pour chacune des affirmations suivantes, indiquer si elle est vraie ou fausse.
On rappelle que les réponses doivent être justifiées.
Affirmation 1: Ce programme donne un résultat positif pour toutes les valeurs de x.
Affirmation 2 : Si le nombre x choisi est un nombre entier, le résultat obtenu est un multiple de 8.​

Answers

You chicken help yourself hahahaha
ok i is there a few can it

What is the equation of this line?

Answers

Answer:

y = -x +2

Hope that helps

Calculate the simple interest on $ 6400 at 10% p.a. for 9 months.​

Answers

this is the right answer good luck

Step-by-step explanation:

SI=P×T×R÷100

SI= 6400×9×10÷100

SI=576000÷100

SI=5760

Can you find the midpoint of the segment with the following endpoints.
(-7,-5) and (-4,2)

Answers

9514 1404 393

Answer:

  (-5.5, -1.5)

Step-by-step explanation:

The midpoint is the average of the end points:

  ((-7, -5) +(-4, 2))/2 = (-7-4, -5+2)/2 = (-11, -3)/2 = (-5.5, -1.5)

The midpoint of the segment is (-5.5, -1.5).


John makes 2 cookies a day. Write an equation that shows the relationship between the days and number of cookes John
makes. Write an equation

Answers

Answer:

2x

x = each day

Step-by-step explanation:

Answer:

y= 2(x)

Step-by-step explanation:

The Y is the cookies. X is the days. Every day that John bakes, he makes 2 cookies. So you multiply the days by 2 to find the number of cookies he bakes.

4^x. 2^y =128,find x and y .please needed urgently​

Answers

I got no idea what the answer is

SOMEBODY PLEASE HELP ASAP PLEASE PLEASE PLEASE WILL GIVE YOU A GIFTCARD OF YOUR CHOICE

Answers

Answer:

what grade are u in

Step-by-step explanation:

Answer: I hope this helps!! It would mean the world to me if i got an Amazon or Xbox giftcard thanks!! :D

Step-by-step explanation:

HELP I NEED HELP ASAP

Answers

Answer:

constant... I think... sorry if it's wrong... just trying to help ;-;

Step-by-step explanation:

Hope this helped! Good luck! :)

Answer:

linear

Step-by-step explanation:

if you put it into an equation, it would be y = 5 + 2x, which is a linear (straight line) equation

Zane buys a rope that is 50 feet long. The cost of the rope is $0.35 per foot, including tax. What is the total cost, in dollars, of Zane’s rope?

Answers

Answer:

50x.35=17.50

Step-by-step explanation:

multiply length times amount per foot equals total cost

The height of a doorway is 7 yards. What is the height of the doorway in inches?

The height of the doorway is ____ inches.

Answers

the height of the doorway is 252 inches

Yep here we go again:

The x-axis represents the number of hours before or afternoon, and the y-axis represents the temperature in degrees Celsius.


At 9 a.m., it was below freezing. In what quadrant would this point be plotted? Use Roman Numerals in your answer: Either I, II, III, or IV


At 11 a.m., it was 10 degrees Celsius. In what quadrant would this point be plotted?

Here is the image T ^ T ( I will also give brainliest!)

Answers

Answer:

9 am it will be IV quadrant

11 it will be I quadrant

hope it helps u

If at 9 a.m. the temperature was below freezing, which means below 0 degrees Celsius, then the point would be plotted in the third quadrant (III).

What is coordinate plane?

The coordinate plane has four quadrants, which are numbered using Roman numerals I, II, III, and IV, and they are separated by the x-axis and y-axis.

In this case, the temperature was below freezing at 9 a.m., which means it was less than 0 degrees Celsius.

The point would be plotted in the third quadrant (III), where the x-value is negative and the y-value is negative, because the x-axis represents the time in hours before noon and the temperature is negative.

At 11 a.m., however, the temperature was 10 degrees Celsius, which is a positive value.

Thus, the point would be plotted in the first quadrant (I), where both the x-value and the y-value are positive, because the x-axis represents the time in hours before noon and the temperature is positive.

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find compound interest on12600rupees for 2years at10% per annum compounded anually

Answers

Answer:

₹2520

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 12600 × 0.1 × 2 = 2520

I = ₹ 2,520.00

The simple interest accumulated

on a principal of ₹ 12,600.00

at a rate of 10% per year

for 2 years is ₹ 2,520.00.

(100 POINTS!!) Help me on this please! (I will mark you brainliest!)

Answers

Answer:

its the 3rd and 5th check mark

Step-by-step explanation:

It is the 3rd and 5th answer check mark thingy!

Hope this helped, thanks so much for the points :)

Marie is saving $75 each week so she can buy a new laptop which costs $1200. She has already saved $125. Find the minimum number of weeks she will have to save in order to be able to make this purchase.

Answers

Answer:

Step-by-step explanation:

[tex]125+75w\ge 1200\\ \\ 75w\ge 1075\\ \\ w\ge 14.33\\ \\ \text{So she must save for at least 15 weeks.}[/tex]

A toy store sells accessories to go with the latest action figure. The store projects that it will sell a certain number of accessories for every box of a dozen action figures it orders. Let d represent one box of a dozen action figures. Use the table to write an expression to represent the actual number of each accessory sold per box of action figures.

Answers

The equation that can be used to represent the turbo jet pack will be 6b + 7.

How to calculate the equation

From the information given, the turbo jet pack is given as six times the number of boxes plus seven. This will be:

= (6 × b) + 7

= 6b + 7

The x-ray vision glass is given as five fewer than two times the number of boxes. This will be:

= (2 × b) - 5

= 2b - 5

The invisible shield is given as one more than ten times the number of boxes. This will be:

= (10 × b) + 1

= 10b + 1

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When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?

Answers

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft

Translate the following verbal expression into an algebraic expression.

“Three times the sum of a number and seven”

Answers

Answer:

3 * (x + 7)

Step-by-step explanation:

Mark number as x

Then the sum of a number and seven is x + 7

Three times x + 7 can be written as

3 * (x + 7)

Parentheses mean that we first add x and 7 and then multiply their sum by 3

Alternatively you can write it as 3x + 21, since

3 * (x + 7) = 3 * x + 3 * 7 = 3x + 21

mid-segment definition

Answers

Answer:

A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle.

Step-by-step explanation:

hope this helps  :)

Altogether, 360 schoolchildren sit down for their exams.
Five percent of them have one pen. Of the remaining 95
percent, half of them have two pens and the other half
have none. How many pens do the children have between
all of them?
HEL MEEEE

Answers

Answer:

A esta así no puedo xd ._.

Total Pens, owned by all students between all of them = 360

Percentage wise calculation of Pens  

Total children = 360
Students having one pen = 95% of 360 = 18

Remaining 95% = 360 - 18 = 342

Half of remaining ie 342 = 171, have two pens

Other half of remaining ie 171 have no pens

Total pens, all children have between all of them = Summation (number of students x number of pens)

= (18 x 1) + (171 x 2) + (171 x 0)

= 18 + 342

= 360

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The mall is having a sale on all shoes. Each pair is $3.50 off the original price. Which expression shows the final price of a pair of shoes?
3.5+x
x- 3.5
3.5x
which is the answer???
and could anybody help me with a few more questions?

Answers

Answer:

x-3.5

Step-by-step explanation:

I suppose that x= the orginal cost of the pairs of shoes.

The expression that shows the final price of a pair of shoes is given by f(x) = (x - 3.5).

What is a mathematical function, equation and expression?            function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that the mall is having a sale on all shoes. Each pair is $3.50 off the original price.

Assume the original price of the shoes is $x. So,  the expression that shows the final price of a pair of shoes is given by -

f(x) = (x - 3.5)

Therefore, the expression that shows the final price of a pair of shoes is given by f(x) = (x - 3.5).

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Simplify the following expression. (52x + 61y) + (-6x + 47y)

Answers

Answer:

46x + 108y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

(52x + 61y) + (-6x + 47y)

Step 2: Simplify

Combine like terms (x):                                                                                   46x + 61y + 47yCombine like terms (y):                                                                                   46x + 108y
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