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

Due tomorrow i need help please

Answers

Answer:

(-6,9)

Step-by-step explanation:

You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.

what is the value of y in the triangle?

Answers

Answer:

y = 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Since sinθ = opp/hypoteneuse,

sin60 = y/6

y = sin60° * 6

= [tex]\frac{\sqrt{3} }{2}[/tex] * 6

≈ 3[tex]\sqrt{3}[/tex]

Hence, y = 3[tex]\sqrt{3}[/tex]

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

How do you factor x^2 + 4x - 4?

Answers

Answer:

you cant factor it.

Step-by-step explanation:

Find the solution to the system of the equations shown below:
y = - 4x + 11
y = 1/2x+ 2

a. (4,1)
b. (11, 2)
C. (2,3)
d. (3, 2)

Answers

Hi

The answer is C. (2, 3).

Fill in the [?]:
11,562 um = [?]m
Give your answer in standard form.
Enter

Answers

Divide the number by 1,000,000 (1 million).

Micrometer is a millionth of a meter

11,562/1,000,000 = 0.011562

guys pls help me!!!!!!!

Answers

Answer:

x = 131

Step-by-step explanation:

the angle adjacent to x on line l corresponds to 49° and are congruent, then

49 and x are adjacent and sum to 180° , that is

x + 49 = 180 ( subtract 49 from both sides )

x = 131

What is the rotation of point A (-2, 3). 90 degrees?
A. (2,3)
B. (-2,-3)
C. (3,-2)
D. (3,-2)

Answers

Step-by-step explanation:

Let's pretend our point is actually a complex number. That would make the point -2–3i. Why would we do this? Well, rotation of complex numbers is simply a matter of multiplication, in this case by 1∠−90° , or -i.

So to start, you shift the point of rotation to 0+0i, rotate it by multiplying, then shift it back to the axis of rotation.

z=−i[(−2−x0)+(−3−y0)i]+(x0+iy0)

=−3−y0+x0+(2+x0+y0)i

x=Rz

y=Iz

Thus the new point is at (−3+x0−y0,2+x0+y0)

hence (-3,2)

PLEASEEEEEE HELPPPPPPPPP

Answers

Solution:

[tex]5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} [/tex]

Answer:

Option A .

[tex] - 2 \frac{2}{5} [/tex]

Find the slope of the line that passes through each pair of points (-3,4) and (2,-3)

Answers

Answer:

[tex]\boxed{\sf m=-\frac{7}{5}}[/tex]

Step-by-step explanation:

[tex]\boxed{\sf{Slope}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

→ [tex]\sf \left(x_1,\:y_1\right):\left(-3,\:4\right)[/tex]

→ [tex]\sf \left(x_2,\:y_2\right):\left(2,\:-3\right)[/tex]

[tex]\sf m=\cfrac{-3-4}{2-\left(-3\right)}[/tex]

[tex]\sf m=-\cfrac{7}{5}[/tex]

_________________________

the answer to this problem is - 7/5

or

What is the length of the hypotenuse? If necessary, round to the nearest tenth.
c 35 84

Answers

length is 84

c 35 is hypotenuse

equals 120 neareast tenth

What is the equation of the line in the slope-intercept form?

Answers

Answer:

y = [5/2]x + [5]

Step-by-step explanation:

y= mx+b

m=rise/run

m=5/2

b=y intercept

b=5

y = 5/2x + 5

Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de

Answers

Answer:

Step-by-step explanation:

find the total cost 35$ with 50% discount

Answers

Answer:

The total cost will then be $17.5

Answer:

17.5 dollars

Step-by-step explanation:

Sale price = $17.5 (answer). This means the cost of the item to you is 17.5. You will pay $17. 5 for a item with an original price of $35 when discounted 50%. In this example, if you buy an item at $35 with 50% discount, you will pay 35 - 17.5 = 17. 5

helpppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

a) = 4.198

b) = 4.146

Step-by-step explanation:

a) 15.444/6+0.232*7

do pemdas

=15.444/6+(0.232*7)

=(15.444/6)+1.624

=2.574+1.624

a) = 4.198

b) (1.709+0.364)*6/3

pemdas again

=(2.073) *6 / 3

=12.438 / 3

b) =4.146

Hope this helps :)

Answer:

A 4.198 and b is 2.073

Step-by-step explanation:

i hope this is right

the quotient of 8 and y

Answers

Answer:

"The quotient of 8 and y" is written as the following algebraic expression:

8÷y

Please help me on this it’s due

Answers

Answer:  5 cakes

================================================

Explanation:

Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\[/tex]

Do the same for the other mixed number 2 & 1/3.

[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\[/tex]

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

From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

[tex]\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\[/tex]

The last step is to convert that result to a mixed number.

[tex]\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\[/tex]

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.

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

Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.

what is the height of the prism?

Answers

Answer:

6m

Step-by-step explanation:

Hope this helps!!!

Answer:

Step-by-step explanation:

l = 3 m

w = 2 m

Volume = 36 cubic meter

l * w * h = 36

3 * 2 * h = 36

6 * h = 36

      h = 36/6

h = 6 m

Helppp ppleasee ??!!

Answers

Answer:

[tex](m^{4} + 5) - n^{3}[/tex] = 85

Step-by-step explanation:

[tex](m^{4} + 5) - n^{3}[/tex] given m = - 2, and n = -4

Substitute the given values into the polynomial expression:

[tex](m^{4} + 5) - n^{3}[/tex]

[tex][(-2)^{4} + 5] - (-4)^{3}[/tex]

= (16 + 5) - (-64)

= 21 + 64

= 85

Therefore, the correct answer is 85.

Answer: 85

Step-by-step explanation:

(m^4+5)-n^3

(-2^4+5)-(-4)^3

(16 + 5)-(-64)

21 + 64 = 85

A 2-column table with 6 rows. Column 1 is labeled Height (inches) with entries 30, 46, 49, 63, 67, 73. Column 2 is labeled Arm Span (inches) with entries 27, 45, 47, 63, 69, 71.
1. Label axes according to input/output.



is the x–axis label.


is the y–axis label.
2. Plot the ordered pairs of the independent/dependent variables.

The ordered pair
is found in the scatterplot.

Answers

Answer:

1. Hight (in.)

2.Arm span (in.)

3.(30,27)

Answer:

1. Hight (in.)

2.Arm span (in.)

3.(30,27)

Step-by-step explanation:

I'm late but hope this helps

A gold coin has a mass of 45.6 grams and a volume of 2.28 cubic centimeters. Calculate its density. Write your answer to the tenths place. ​

Answers

Answer:

Density (ρ) = 20000 kilogram/cubic meter

Step-by-step explanation:

What is the value of 5³ ?

Answers

Answer:

125

Step-by-step explanation:

5^3 = 5 x 5 x 5

5 x 5 x 5 = 25 x 5

25 x 5 = 125

answer:

125

step by step explaination:

5×5×5 = 125

Determine the value of the expression 2(x - 3) when x = 2.

Answers

Answer:

-2

Step-by-step explanation:

2(x-3), x=2

Since we know what x equals, plug it into the equation

2(2-3)

2(-1)

-2

Answer:

2(2-3)

4-3

1

Step-by-step explanation:

[tex]2(2 - 3) \\ 4 - 3 \\ 1[/tex]

Pls anyone know this

Answers

He can make
526
562
265
256
652
625
Answer:
256
265
526
562
625
652

I think that’s it. Hope this helps

help with this question

Answers

Answer:

B

Step-by-step explanation:

the roots are the x-values where the graph intersects the x-axis. to find the roots replace y with 0 and solve for x

please show the work but thanks !!!

Answers

please show work but thanks!

The picture is my question, tap on it to see it better please answer it.

Answers

Answer:

When x= 4, then f(x)= 13.

When x= g(x), then f(x)=g

When x= -3, then f(x)= -1

When x= -15(x), then f(x)= -15

I beat the wither and the ender dragon what next

Answers

make a new world do it faster

URGENT PLEASE HELP, respond to c, d, e, and f please !!

Answers

Answer:

Step-by-step explanation:

c. (18.5-17)/.9= 1.66666666667= 1.6667

d. .7107

e. .2185

f.  0.675=(x-17)/.9 x= 17.6075

Karen wants to buy a $22.50 jacket that is marked 20% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression Choose.

Answers

Answer:

discount = price times % off

discount = 22.50 x 0.20

discount = $4.50

Step-by-step explanation:

complete the table to summarize what you know about each rocket.

Answers

need more information. need to see the table
Other Questions
the nurse is caring for a patient who is complaining of tingling in her hands and fingers. the nurse knows this is a sign of what electrolyte imbalance? during the 1920s laws were passed that limited immigration into the united states. what was this called and why do you think these laws are supported by many americans? Write the equation of the vertical line that passes through the point (-4,-2). Find the angles marked x,y and z.ASAP Determine the value of the expression 2(x - 3) when x = 2. the width of the pyla dune is half of 1000 m. is that true or false What happens during meiosis I? *a. Chromosomes line up in pairs, separate, forming haploid cellsb. Chromosomes line up in pairs, separate, forming diploid cellsc. Chromosomes line up single file, separate, forming haploid cellsd. Chromosomes line up single file, separate, forming diploid cells Heredity is the transmission of genetic traits from parents to their offspring. Please select the best answer from the choices provided T F Plz, help ASAP!!!! I WILL MARK U BRAINLIESTChoose the best answer. Dictator Hugo _________ created a socialist state in Venezuela in which he held limitless power.BolvarCabralChvezPinochetIf you help me I will mark u brainiest! ONLY IF IT IS CORRECT and has backup reasoning. I need this correct, thank you Please help me on this its due High tides are located at__A an BB an DB an C Un paralelogramo con una base de 13cm y una altura de 8cm, su rea es de Draw pictures to show two ways to buy 324 marbles How do you factor x^2 + 4x - 4? the quotient of 8 and y Solve the problems.A bird is flying at an elevation of 14 feet above thesurface of the water. A fish is swimming the samedistance below the surface of the water.How can yourepresent a locationbelow the surface ofthe water?a. What number represents the position of the fishrelative to the surface of the water?b. How does the absolute value of the numberyou wrote show that the distances are thesame? Explain. what are the two major anatomical subdivisions of the nervous system? What is the equation of the line in the slope-intercept form? The picture is my question, tap on it to see it better please answer it. Find the slope of the line that passes through each pair of points (-3,4) and (2,-3)