The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could either be a linear or exponential model. You will create both and then look at the true population increase and decide which model is closer the the true growth.

The actual U.S. population data (in millions) was:

Which model provides a better forecast for the U.S. population for the year 2030, linear or exponential or neither?

Question 5 options:

Linear model


Exponential model


Neither

The U.S. Population In 1910 Was 92 Million People. In 1990, The Population Was 280 Million. This Could

Answers

Answer 1

Answer:

The linear model means that there is a uniform increase and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 -1910 = 80  years or   158 80 = 1.975  million per year and in  x  years it will become   92 + 1.975 x  million people. This can be graphed using the linear function  1.975 ( x − 1910 ) + 92 ,

graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}

The exponential model means that there is a uniform proportional increase i.e. say  p %  every year and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 − 1910 = 80  years or  

p %  given by  92 ( 1 + p ) 80 = 250  which gives us  ( 1 +p ) 80 = 250 92  which simplifies to  p = ( 250 92 ) 0.0125 − 1 = 0.0125743  or  1.25743 % .  

This can be graphed as an exponential function  92 × 1.0125743 ( x − 1910 ) , which gives population in a year  y  and this appears as graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}

Step-by-step explanation:

Hope this helps


Related Questions

The length of a rectangular fence is 1 foot longer the width. The area is 132 feet^2. How long is the length of the fence?

Answers

xx+1=132=131=xx=x=131/x

A city bus goes 18miles in 30 minutes . HOW far does it go in 2 minutes?

Answers

the bus goes 9 miles every 2 minutes

Answer:

the city bus would cover 6 miles in 10 minutes.

Step-by-step explanation:

18 miles = 30 minutes

? miles = 10 minutes

cross multiply

? x 30 = 18 x 10 (180)

? = 180/30

? = 6

the city bus would cover 6 miles in 10 minutes.

what is b divided by b% of b? PLS HELP

Answers

Answer:

b / (b/100×b)

= b / (b/50

= 50b/b

= 50

Step-by-step explanation:

brainliest plz

Answer:

b²/0.0b

Step-by-step explanation:

You're asking what is

[tex] \frac{b}{b\%} \times b[/tex]

Know that b% translates to b/100=0.0b

b×b=b²

Therefore it becomes

[tex] \frac{ {b}^{2} }{0.0b} [/tex]

O Domingos tinha certa quantia em dinheiro, foi ao centro comercial e gastou 1/3 da quantia na compra de uma revista, gastou 1/4 da quantia na compra de um CD e ainda ficou com 25 mil kzs. Qual era a quantia que Domingos possuía?

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Answer:

English

Step-by-step explanation:

Help plz !!
What are the dimensions of AB?

Answers

Answer: c.2*1

Step-by-step explanation: in the picture

You need to remember two definitions.

First, the dimensions of a matrix are the number of rows by the number of columns. If a matrix has a row and b columns, it's an a*b matrix.

Second, before computing the product of two given matrices, you need to check an important condition.

If a matrix A has i row and j columns. And a matrix B has k row and l columns we can not apply the product AB only if j = k. In other words the numbers of columns of A (j) must be equal to the number of rows of B (k).

If this condition is checked, than the new matrix will be of dimensions : ixl

In our case i = 2, j = 3, k = 3, l = 1

So the dimensions will be 2x1 so the answer is C.

Good luck

Think about all the ways in which a circle and a parabola can intersect.

Select all of the number of ways in which a circle and parabola can intersect.

0
1
2
3
4
5

Answers

Answer:

3

Step-by-step explanation:

Answer:

0,1,2,3,4

Step-by-step explanation:

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Please answer quickly giving brainliest

Evaluate 1/2(x divided by 4)+y when x = 16 and y = 2/5 A. 4/5, B. 19/10, C. 12/5, D. 32/5

Answers

The expression 1/2(x divided by 4)+y when evaluated for x = 16 and y = 2/5 is 12/5

How to evaluate the expression

The mathematical statement of the expression is given as

1/2(x divided by 4)+y

When the above expression is expressed using proper mathematical operators

We have the followng expression

1/2(x/4) + y

From the question, we have the followng values

x = 16 and y = 2/5

This means that

1/2(x/4) + y = 1/2(16/4) + 2/5

When evaluated, we have

1/2(x/4) + y = 12/5 or 2.4

Hence, the value of the expression si 12/5

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What is the midpoint of XY

Answers

Answer:

41.75

Step-by-step explanation:

I think my math might be wrong

factor completely x^2-4

Answers

Answer:

(x + 2) (x - 2)

Step-by-step explanation:

Given the quadratic expression,  x² - 4:

Use the Difference of squares factoring formula:

u² - v² = (u + v)(u - v)

Determine what are possible factors that could have a product of -4:

Since -2 × 2 = -4, these can be used as factors.

Therefore, the factors of the quadratic expression, x² - 4 are:

(x + 2) (x - 2)

. Excel Secondary School wants to send its students for an educational trip and has found an organisation that is willing to sponsor up to an amount of $2 500 for the trip. Given that the cost of sending a student for the trip is $12, what is the maximum number of students the school can send for the trip if it relies only on the sponsorship?​

Answers

Answer:

208 students I think that's the answer

If y varies directly as x, and y = 5 when x = 1.5, then find y when x = 105.

a. y = 78.75
b. y = 1.5
c. y = 707.5
d. y = 787.5

Answers

Answer:

I think it's

Step-by-step explanation:

b.y=1.5

it can be right or wrong:/

B y = 1.5. Hftjchjbcjhccgjbv

Given that f ( x ) = 3 x − 7 and g ( x ) = 3 x + 9 , evaluate f ( g ( 2 ) )

Answers

Answer:

38

Step-by-step explanation:

f ( x ) = 3 x − 7

g ( x ) = 3 x + 9

f(g(2))

First find g(2)

g(2) = 3(2)+9 = 6+9 = 15

Then find f(15)

f(15) = 3*15 -7 = 45 -7 =38

The graph below shows the solution to an inequality

Which inequality matches this graph?


A. 2y−5 x
C. 2x−5 y

Answers

The inequality that matches the graph shown above is 2x - 5y ≤ 10. This inequality represents all the points on or below the boundary line of the graph. The line passes through the points (0, -2) and (5, 0) and has a slope of 2/5.

To verify this, we can select a point not on the line, like (0, 0), and substitute its coordinates into the inequality. We get: 2(0) - 5(0) ≤ 10, which simplifies to 0 ≤ 10. Since this is true, all the points on or below the line satisfy the inequality.
The given graph shows the shaded region below the line 2x - 5y = 10, and on the line itself.

To find the inequality that matches the graph, we can identify the slope and intercept of the line and write it in slope-intercept form, y = mx + b. The slope is found by dividing the change in y by the change in x between two points on the line.

Taking the two points (0, -2) and (5, 0), we get a slope of (0 - (-2))/(5 - 0) = 2/5.The y-intercept is where the line crosses the y-axis, which is the point (0, -2).

Using this information, we can write the line in slope-intercept form as y = (2/5)x - 2. The inequality that matches the graph is the one that includes all the points on or below this line. Since the line itself is included, we use the less than or equal to sign, giving us the inequality 2x - 5y ≤ 10.

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The complement of an angle is half of it’s size. Find the angle

Answers

The angle is 30 degrees

how to use solution of an inequality in the real world?​

Answers

They seek to describe the way nature flows. Many of the simpler equations also describe financial concepts, like exponential growth. Exponential growth can describe the cultivation of microorganisms as well.

Addition and substraction is used in shopping.

Much of mathematics are also used in programming in order to make smart software.

You basically used equations everyday without even notice. Like when you have to calculate “How many dollars does the sum of your grocery stuffs equal to?”. Or a more complicated situation, if you need to be in the meeting at 9:30am, the travel distance is 10km and you can only leave after 8:30am, your driving speed should equal “x” km/h.”

Inequalities are used for comparison. “He is taller than me.” or “The iPhone with larger memory capacity is more expensive.”. A more complicated example is also with calculating your driving speed. “Now if there is expected traffic jam for 2km. You get out of the traffic jam at 9:00am, you have to drive faster than

“x” km/h to compensate for your loss time.”

Just some simple examples. There are a lots more out there, just look around.

Answer:

by using injustices or by subtracting

find the value of
[tex] \frac{x + y}{xy} [/tex]

Answers

Please find attached photograph for your answer.

Hope it helps.

Please do comment whether it is useful or not.

ray4918 here to help.

Help me

Number questions

Answers

Step-by-step explanation:

a) Four thousand five hundred thirty-six.

b) arrange in descending order

3456.

c) since we have to make odd number therefore once digit will be odd , 3 ( or 5 too )

so, the number is 6543.

hope this answer helps you dear!

express 5^20 as a power of 25

Answers

5^20 can be written as (5^2)^10=25^10

The expression of 5^20 as a power of 25 can be written as 25^10.

What are exponents?

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

We need to express 5^20 as a power of 25

If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" means this statement might change from text to text slightly.

Thus, 5^20 can be written as ;

(5^2)^10 = 25^10

Therefore, the expression of 5^20 as a power of 25 can be written as 25^10.

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Identify the domain and range of the following relation. {(7,-2), (7,4), (7,6), (7,-4), (7,1)

Answers

Answer:

look at explanation

Step-by-step explanation:

domain= all the 7s

range: -2, 4, 6, -4, 1

How many minutes are there in 3-hours?
4
34

Answers

Answer:

180

Step-by-step explanation:

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \:3 \: \frac{1}{4} \: \: hours \: = \: \frac{13}{4} \: hours\: \\ [/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: \frac{13}{4} \: hours \: \: = \: 3.25 \: hours \\ [/tex]

[tex] \Large\begin{gathered} {\underline{\boxed{ \rm \: {\purple{1 \: hour \: = \: 60 \: minutes}}}}}\end{gathered}[/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: 3.25 \: hours \: = \: 3.25 \: \times \: 60[/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: 3.25 \: hours \: = \: \:{{ \large{ \orange{ \rm{{195 \: minutes}}}}}} [/tex]

! ! ! Angles ! ! !
(worth ten points)
Which is the best explanation of why triangles ABC and ACD are similar?
A.) Both triangles are right triangles.
B.) Both triangles contain angles A and C.
C.) Both triangles a right angle and angle A.
D.) Both triangles contain a right angle and angle C.

Answers

Answer:

the answer is a :)

Step-by-step explanation:

Answer choice B is incorrect

Answers

Answer:

i'd say C, reason being is because the origin is not directly on the point, so the dilation moves up 1.5

Step-by-step explanation:

Easy math problem.....

Answers

Answer:

A should be correct.

Step-by-step explanation:

Given, a = 1/2 and b = -1/3

First, let's solve the numerator. Then we have:

1/2 - 1/3

= 1/6

Since we found out our numerator, It is time to find out our denominator.

We have:

1/2 x -1/3

= -1/6

Since we now know the numerator and the denominator, we can now find out what is a+b/ab. We can find that by adding the numerator and denominator.

1/6 divided by -1/6 is equaled to -1.

Therefore, A should be correct.

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Answer:

A. -1

Step-by-step explanation:

1/2 + -1/3

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

1/2 x -1/3

First, make 1/2 and -1/3 have the same denominator

1/2 x 3/3 = 3/6

-1/3 x 2/2 = -2/6

Add

3/6 + -2/6 = 1/6

Multiply

1/2 x -1/3

1 x -1

-------

2 x 3

= -1/6

This makes the big equation

1/6

-----

-1/6

Simplify

1/6 / 1/6

-----------

-1/6 / 1/6

1/-1

or -1

PLEASEE I NEED THIS ANSWER ASAP PLEASE!!

Answers

Answer:

D

Step-by-step explanation:

Find the value of the power. (2/3)3  ​

Answers

Answer:

8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3 = \frac{2}{3} * \frac{2}{3} * \frac{2}{3} = \frac{8}{27}[/tex]

Please help its due today and i have practically everything else filled out

Answers

Answer:

B(ans) quotient is negative. When you divide a positive number by a negative number then the quotient is also negative. When you divide two negative numbers then the quotient is positive. The same rules hold true for multiplication

Using suitable property, find the value of 689 × 147- 689 × 47
and mention the property used.

Answers

Answer:

Step-by-step explanation:

689×147-689×47

=689(147-47)

=689(100)

=689×100

=68900

Evaluate 1/4x+ 1/20 when x =1/5

Answers

Answer:

1/10

0.1

Step-by-step explanation:

Help help help help help help whelp

Answers

Y = -2x - 6

Use the same slope. Since the point intersects (0,-6), the y-intercept is 0.

Answer:

y = -2x - 12

Step-by-step explanation:

since they are asking for a parallel line, the slope will be the same:

in this case:

-2

now, we are given a point that the line goes through: (-6,0)

x is -6, y is 0

knowing all of these things, solve it:

0 = -2*(-6) + b

0 = 12 + b

b = -12

the equation of a line is y = mx +b

so:

y = -2x - 12

Order of operations question

Answers

Answer:

165 po ang sagot

Kung Hindi po tama sorry

I try my best

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