Which of the following exponential regression equations best fits the data shown below?
X -4 -3 -2 -1 0 1 2 3 4
y 1.07 1.98 2.93 3 9 10 16 25 36
A. y 3.02 3.67*
B. y 6.61 1.55*
C. y 2.27 2.09*
D. y = 8.04.0.98*​

Answers

Answer 1

The exponential regression equation that fits the data is D. y = 8.04.0.98​ˣ.

How to depict the equation?

The quickest way is probably to do direct substitution. First, let's try f(0). The values of y predicted by the four equations are, respectively, 3.14, 5.32, 10.84, and 8.46.

From here, it looks like C and D are the closest to the observed data. Let's try f(4) on C and D.

10.84(1.77)⁴ = 10.84 × 9.815 = 106.4

8.46(3.51)⁴ =  8.46 × 151.4 = 1284

Therefore, the exponential regression equation that fits the data is y = 8.04.0.98​ˣ.

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ1

Which Of The Following Exponential Regression Equations Best Fits The Data Shown Below? X -4 -3 -2 -1

Related Questions

Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown.
8x + 7y = 39

4x – 14y = –68

Answer:
Sample Response: Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).

Answers

Hope this was helpful..

Solve system of equation using elimination by addition.

Will give brainliest!!

Answers

Answer:

x = 2

y = -1

Step-by-step explanation:

You can add together the equations so the x term cancels out:

  -3x + 5y = -11

+ (3x + 7y = -1)

The -3x and 3x cancel out, 5y and 7y add to 12y, and -11 and -1 add to -12:

12y = -12

Divide by 12 on both sides to get

y = -1

We can substitute this value into one of the equations to solve for x:

3x + 7y = -1

3x +7(-1) = -1

3x - 7 = -1

3x = 6

x = 2

Stan wants to start an ira that will have $250,000 in it when he retires in 25 years. how much should he invest semiannually in his ira to do this if the interest is 6% compounded semiannually? assume an annuity due. round to the nearest cent. a. $2,151.82 c. $2,303.29 b. $2,216.91 d. $4,556.68

Answers

Answer:A

Step-by-step explanation:

Name the types of angles shown.
L
M
Check all that apply.
A. straight angle
B. right angle
c. supplementary angles
D. complementary angles

Answers

Answer:

Ans : A. Straight angle

Step-by-step explanation:

Brainliest me pls

#KEEPSAFE

#STUDYWELL

#G'MORNING

Brain

What are some examples of a linear system

Answers

Answer:

Describe the middle class of Central America. Mention jobs, homes, and education.ury

Step-by-step explanation:

-7–2.1n=-3.5n PLEASE ANSWER

Answers

Answer:

n=5

Step-by-step explanation:

-7-2.1n=-3.5n

 +2.1n    +2.1n

-7   =  -1.4n

/-1.4   /-1.4

n=5

Hope this helps!

If not, I am sorry

Answer:

b = - 1.25

Step-by-step explanation:

-7 - 2.1n = 3.5n

-7 = 3.5n + 2.1n

-7 = (3.5+2.1)n

-7 = 5.6n

-7/5.6 = n

n = -1.25

Check:

-7 -(2.1*-1.25) = 3.5*-1.25

-7 + 2.625 = -4.375

PLEASE HELPPPPP ME, IVE BEEN STUCK ON THIS ONE!!..

Answers

Answer:

C. 9 minutes 30 seconds

Step-by-step explanation:

well you could estimate it or just add 2.5 to 6.9 and you would get pretty close to the answer

Have a good day! :)

What is the slope intercept form of the 2 points (-6,-3) and (6,-7)

Answers

It’s 6,7 because all the answers are wrong if u didn’t know that tbh and u will get the right answer

i dont now this question

Answers

Answer:

y = 108

Step-by-step explanation:

2x + 16 = 3x -12 (as you can see the F shape and are on straight lines and AB is parallel to CD) .

Now we solve for x :

Subtract 2x from both sides :

16 = x - 12

Now we add 12 to both sides :

28 = x

Angle 3x-12 and y add up to 180 as they are on a straight line :

3x-12 + y = 180

Substitute x and solve for y :

3(28) - 12 + y = 180

84 - 12 + y = 180

72 + y = 180

y = 108  

Hope this helped and have a good day

How many times longer is the wavelength of a sound wave with a frequency of 20 waves per second than the wavelength of a sound wave with a frequency of 16,000 waves per second?

Answers

The sound wave with a frequency of 20 waves/sec is 800 longer than the wavelength of a sound wave with a frequency of 16,000 waves/sec

Calculating wavelength

From the question, we are to determine how many times longer is the first sound wave compared to the second sound water

Using the formula,

v = fλ

∴ λ = v/f

Where v is the velocity

f is the frequency

and λ is the wavelength

For the first wave

f = 20 waves/sec

Then,

λ₁ = v/20

For the second wave

f = 16,000 waves/sec

λ₂ = v/16000

Then,

The factor by which the first sound wave is longer than the second sound wave is

λ₁/ λ₂ = (v/20) ÷( v/16000)

= (v/20) × 16000/v)

= 16000/20

= 800

Hence, the sound wave with a frequency of 20 waves/sec is 800 longer than the wavelength of a sound wave with a frequency of 16,000 waves/sec

Learn more on Calculating wavelength here: https://brainly.com/question/16396485

#SPJ1

Graph the equation y =3/5 x on the coordinate plane.​

Answers

Step-by-step explanation:

See above graph.......

someone please help me to learn new things i am a 5th grade student and im hoping to learn new things in math

Answers

Answer:

Here you go!

Step-by-step explanation:

Do tell if it still seems difficult.

:)

A circle has a area of 49 pie cm2 work out its radius

Answers

Area of a circle: pi x r^2

49 pi = pi x r^2

49 = r^2

r = +/- 7

---In this case, the radius is a measurement, so the answer must be positive.

r = 7

Hope this helps!

An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously. How much was deposited initially. Show all work.

Answers

The intital amount deposited was  $18485.82.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously.

A = 26000

R = 0.02.3

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

[tex]26000 = p(1 + \dfrac{2.3}{100})^{15}\\\\26000 = p \times 1.4064\\\\\P= 18485.82[/tex]

Therefore, the intital amount deposited was  $18485.82.

Learn more about compound interest here:

https://brainly.com/question/1329401

#SPJ1

Eva wants to estimate the number of rabbits on a farm.
On Monday, she catches 50 rabbits.
These rabbits are tagged and then released.
On Tuesday, she catches 100 rabbits.
12 of these rabbits have tags on them.
Estimate the number of rabbits on the farm.

Answers

Estimate the number of rabbits on the farm will be 417 rabbits.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Eva wants to estimate the number of rabbits on a farm.

On Monday, she catches 50 rabbits.

These rabbits are tagged and then released.

On Tuesday, she catches 100 rabbits.

12 of these rabbits have tags on them.

Then estimate the number of rabbits on the farm that will be

Let n be the number of total rabbits. Then we have

12n = 50 x 100

  n = 5000 / 12

  n = 416.67

  n ≅ 417

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Which triangles are similar?
15
28
62
28
17
Triangle A
37
15
53
9
16
Triangle B
Triangle C
OA. Triangles B and C
OB. Triangles A and B
C. Triangles A and C
D. Triangles A, B, and C
62°
34

Answers

Answer:

triangle A andC are the same

Q4. The diagram shows a triangle inside a rectangle.
2x
All measurements are given in centimetres.
Show that the total area, in cm², of the shaded regions is 18x - 30
3x-5
Diagram NOT
accurately drawn

Answers

The prove to show that the area of the shaded portion is 18x  - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x  - 30

How to find the area of the shaded region?

The area of the shaded region can be represented as follows:

area of the shaded region = area of rectangle - area of triangle

Therefore,

area of the rectangle = (x + 6)(3x - 5)

area of the rectangle = 3x² - 5x + 18x - 30

area of the rectangle = 3x² + 13x - 30

area of triangle = 1 / 2 × 2x × 3x - 5

area of triangle = 3x² - 5x

Therefore,

area of the shaded portion =  3x² + 13x - 30 - 3x² + 5x

area of the shaded portion = 18x  - 30

learn more on area here: https://brainly.com/question/21208569

#SPJ1

Can someone help me with this??

Answers

10 40 400
20 30 600
25 25 625
35 15 525
40 60 2400
(mb if it’s incorrect)

6. What is an equation of the line that passes through the point (6,8)
and is perpendicular to a line with equation y = 3
2x + 5?
(1) y − 8 = 2(x − 6)
(3) y + 8 =
2(x + 6)
(2) y - 8 = -(x − 6)
-
(4) y + 8 =
− ½(x + 6)

Answers

Answer:

x = 6

Step-by-step explanation:

y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3

A line perpendicular to this will be a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (6, 8 ) with x- coordinate 6 , then

x = 6 ← equation of perpendicular line


1/2x-20-x = 3(2x - 1) - (2x - 1)

Answers

Answer:

x = -4

Step-by-step explanation:

1/2x - 20 - x = 6x -3 -2x +1

-1/2x -20 = 4x -2

-1/2x -4x = -2 +20

-9/2x = 18

9/2x = -18

9x = -36

x = -4

Give brainliest please!

hope this helps :)

New Zealand consists of hundreds of islands. Most of the population lives on the North Island, which has an area of 1.14x105 square kilometers, and the South Island, which has an area of 151,000 square kilometers.

· Which island has a greater area? How many square kilometers greater is it? Express your answer in scientific notation.

· The population of the North Island and South Island combined is about 4.8 x 106. Find the approximate population density in people per square kilometer, rounded to the nearest unit. Explain your steps

Answers

Answer:

151,000

Step-by-step explanation:

1.14×105=119.7

151,000

PLEASE ASAPPP 50 POINTS

Answers

Answer:

A,B,C,J,K,M

A=B,L is parallel to K

C=J

Which of the following tables represents a function?

Answers

Answer:  Choice B

Reason:

Choices A, C and D have repeated x values. It allows us to rule them out.

Table A has x = 6 repeating. Table C has x = 3 and x = -3 repeated. Table D has x = 4 and x = 5 show up twice each.

Whenever we have repeated x values, it indicates we do not have a function. A function is only possible when each x value goes to exactly one y value only.

Table A has the input x = 6 lead to y = 2 and y = -2 at the same time. Table C and table D are a similar story. So this is another way to rule out choices A, C and D.

Luckily table B has no repeated x values. Each x input leads to exactly one and only one y output. Therefore, table B is a function.

Side Note: the y values can repeat, but the function won't be one-to-one.

Four graphs are shown below:


Four graphs named Graph A, Graph B ,Graph C and Graph D are shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. All the graphs have 0,12 and 1,20 and 2,28 and 3,31 and 4,42 and 5,53 and 6,61 and 7,72 and 8,88 and 9,83 and 10,92. A straight line joins 0, 12 and 6,100 in Graph A. A straight line joins 0, 12 and 10, 50 in Graph B. A straight line joins 0, 10.5 and 10, 95 in Graph C. A straight line joins 0, 30 and 8,100 in Graph D.


Which graph best shows the line of best fit?


Graph A

Graph B

Graph C

Graph D

Answers

The graph that best shows the line of best fit is graph (c)

How to determine the best graph?

A graph that shows the appropriate line of best fit has the following properties:

The line of best fit has equal approximately points on either sideThe line of best fit touches as many points as possible

The graph that satisfies the above highlights is the graph (c)

Hence, the graph that best shows the line of best fit is graph (c)

Read more about line of best fit at:

https://brainly.com/question/15340339

#SPJ1

Answer:

c

Step-by-step explanation:

Evaluate each function.
14) g(x)= 3x² - 1; Find g(-3)

Answers

Answer:

g(-3)= 26

Step-by-step explanation:

g(x)= 3x² - 1

g(-3) means use -3 for x in the given equation.

g(-3)= 3(-3)² - 1

g(-3)= 3(9) - 1

g(-3)= 27 - 1

g(-3)= 26

Set A= 1, 3, 4, 5, 9, 10, 11
Set B= 2, 4, 6, 7, 11, 12
What is the union of sets A and B?

Answers

Answer:

1 ,2,3,4,5,6,7,9,10,11,12 is the union

Answer:

A U B = {1,2,3,4,5,6,7,9,10,11,12}

Step-by-step explanation:

Union of sets is a set containing all elements that are in A or  B.

A = {1,3,4,5,9,10,11}

B= {2,4,6,7,11,12}

A U B = {1,2,3,4,5,6,7,9,10,11,12}

The coordinates (1, 1), (1, 3), (3, 3), and (x, y) form a square when graphed on a coordinate plane. Which ordered pair would be the fourth vertex of the square? A (3, 1) B (1,3) C (3,5) D (3, 0
)​

Answers

Answer:

3,1

....................................

n of the following are factors of x² - 7x - 30 ?
a
(x-3) (x - 10)
B
(x-3) (x + 10)
C
(x - 15) (x + 2)
D
(x - 10) (x + 3)

Answers

Answer:

D

Step-by-step explanation:

20(6x4) Can you pls help me

Answers

Answer:

480

Step-by-step explanation:

We will use the order of PEMDAS. First, everything in parenthesis must be completed. Since 6x4 is in parenthesis, we multiply it and get 24.
Since we now have 20(24). We can multiply them by each other.
A trick to do this manually is to notice that 20 is 10 x 2, meaning that in reality this equation is 10 x 2 x 24. Multiply 2 x 24 = 48, and 48 x 10 = 480.

1. Solve the equation using square roots.
x² +10=9

Answers

Answer:

x=±√−1 (NO REAL SOLUTION)

Step-by-step explanation:

x² + 1 = 0

1× x²+1=0

x=±√(−1×1)

x=±√−1 (NO REAL SOLUTION)

Other Questions
There will be no end to this exquisite horrible misery.In this excerpt, what does exquisite mean? In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary. If (1, 0) is an ordered pair of the function F(x), which of the following is anordered pair of the inverse of F(x)? 5. To push a box up an inclined plane, is the force required smaller if you push horizontallyor if you push parallel to the incline? Why? Which of the following choices lists the values of the side lengths of a triangle with 45-45-90 degree angles and a hypotenuse = 24? 2, 2, 24 242, 242, 12 24, 24, 242 122, 122, 24 What is an example of service in the cement industry Which 1960s tv western had the characters major seth adams, flint mccullough and charlie wooster?. Which category of physical infrastructure management is concerned with providing the required it resources at the right time, at the right cost, aligned with the current and future requirements of the internal customer? (04.01 MC)The tables show some input and output values:Table ATable BInput OutputInput Output176129733724585Which tables represent functions?O Only AO Only BO Both A and BONeither A nor B The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2). determine the lengths of the outside edges of the garden. write your answer in simplest form. Atoms were named "atomos" by the Ancient Greeks. What does "atomos" mean? Clear Solid Indivisible Small In the excerpt from The Grapes of Wrath, how does the narrator mainly feel toward those he interacts with in town? 3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; perimeter of the field. Black Codes were laws passed by the South during Presidential Reconstruction placed many restrictions and controls as well as bestowing certain rights on the freedmen, which helped sour many in the North on Presidential Reconstruction and caused them to look to Congress for guidance in reconstructing the South, especially the Radical Republicans?TrueFalse How did Genghis Khan treat many of the people he conquered?He allowed conquered people to govern themselves as long as they stayed loyal to him.He required conquered people to send him soldiers and supplies to grow the empire.He sent his sons to conquered cities to make sure the people were staying loyal.He required conquered people to give up their cultures and languages and become Mongols. How many moles of ch4 are contained in 96. 0 grams of ch4. Solve for the value of s.(s+1)(2S-1) What is the area of the hexagon?5m4 m4 m12 m5m60 m 120 m 2106 m 68 m 2 a 2 gallon container of window cleaner costs $11.52. what is the price per cup? Which image is used throughout "Sinners in the Hands of an Angry God" to provoke fear in the audience?firearrowsinsectsserpents