Which function best fits the following points?
A. y= -12.84032 + 0.0225x
B. y = 65.0778 × 772.9605^x
C. y = -197.0571x^2 + 245.6243x + 6.0321
D. None of the above​

Which Function Best Fits The Following Points? A. Y= -12.84032 + 0.0225x B. Y = 65.0778 772.9605^x C.

Answers

Answer 1

Given:

The graph of a scatter plot.

To find:

The function that best fits the given points.

Solution:

From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.

So, options B and C are incorrect because they represent exponential and quadratic function respectively.

Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).

Using this two points, the equation of line is:

[tex]y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)[/tex]

[tex]y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)[/tex]

[tex]y+12.82=0.025(x-0.80)[/tex]

[tex]y+12.82=0.025x-0.02[/tex]

[tex]y=0.025x-0.02-12.82[/tex]

[tex]y=0.025x-12.84[/tex]

[tex]y=-12.84+0.025x[/tex]

It is the approximate function to the function that is in option A.

Therefore, the correct option is A.


Related Questions

Can u help solve this

Answers

Answer:

 - 5/3

Step-by-step explanation:

We can use the slope formula

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

    = ( -1 -9)/(4 - -2)

   = (-1-9)/(4+2)

  = -10/6

  - 5/3

Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 1 - 9}{4 - - 2} \\ \frac{ - 10}{6} \\ = - \frac{5}{3} \\ thank \: you[/tex]

Chọn bốn ví dụ sau Ví dụ nào không phải là phân số
A.3/-5 B.1,7/3 C.0/2 D.-13/-4

Answers

Answer:

a

Step-by-step explanation:

vì số âm không nằm ở dưới

(PLEASE ANSWER ASAP I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER PLEASE EXPLAIN ALSO)

Answers

Answer:

37.15 pounds left

Step-by-step explanation:

Add the two pound values

1.3+1.75= 3.05

Subtract it from the total number of pounds in the bag

40.2-3.05

=37.15

So you would start by adding up the total amount he ate. So that would be

1.3 + 1.75 = 3.05

Then you have to subtract the amount he ate from the total amount.

40.2 - 3.05 = 37.15

So your answer would be 37.15 let me know if you don’t understand something, more than happy to help.

Can someone help me with this please !!

Answers

Step-by-step explanation:

I need help to...

I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.

x+y=4 and 2x+3y=2 then find x and y​

Answers

Answer:

x=10, y=-6

Step-by-step explanation:

1) express x from the first equation x+y=4 x=4-y

2) It is the system of equations, so both equations are simultaneous.

you can replace x to 4-y in the second one

2 *(4-y) +3y=2

8-2y+3y= 2

y=-6

x= 4-y=4-(-6)=10

The answer is x=10, y=-6

PLEASE HELP ME!. I will give thanks, 5 star rating, and brainly to the most helpful answer, and I will report unrelated answers, so don't try me.


Three vertices of a parallelogram are (0,1), (2,0), and (2,5). Label all the possible location(s) of a fourth vertex.

Answers

Answer:

(0, 6), (4, 4), and (0, -4)

Step-by-step explanation:

basically you pick 2 sides (each with endpoints at two of the three verticies) to be the adjacent sides, and then you can easily find the fourth vertex for each case.

Which greatest digit should replace m so that the number 10m6415 is divisible by 11

Answers

The answer is to ur question is 8

Answer:

Step-by-step explanation:

Sum of digits of rank even - sum of digits of rank odd  must be a multiple of 11

(5+4+m+1)-(1+6+0)=11*k

10+m-7=11*k

3+m=11*k

m=8

Proof: 1086415/11=98765

SEE QUESTION IN IMAGE

Answers

Answer:

See below

Step-by-step explanation:

(b)

The table is attached

(i)

The graph is attached

(ii)

(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median

(b)  Vertical line from the 45% mark intersects the graph at approximately 177th point. The number of candidates passed the test:

500 - 177 = 323

(iii) P(pass) = 323/500 = 0.626 or 62.6%

Find the measure of the indicated angle to the nearest degree

Answers

Answer: 39

Explanation:

In this case, we must first find the hypotenuse of this triangle by the Pythagorean Theorem.

sqrt(a^2 + b^2) = c

1) sqrt( 23^2 + 28^2) = c
2) sqrt(529 + 784) = c
3) sqrt(1313) = c
4) c = 36.2353

Now that we have obtained our hypotenuse, we can easily find our missing angle by the sine rule.

sin(Angle)/opposing side = sin(Angle)/opposing side

1) sin90/36.2353 = sinx/23
2) 1/36.2353 = sinx/23
3) 23/36.2353 = sinx
4) x = sin^-1(23/36.2353) (SHIFT + Sin on your calculator to do this)
5) x ≈ 39

Hope this helps, brainliest would be appreciated :)

Hi ,I need help. pls?

Answers

The answer is x is equal to 2

The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the nearest whole number.​

Answers

Given:

Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]              ...(i)

Surface area of a sphere:

[tex]A=4\pi r^2[/tex]                      ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.

[tex]V=\dfrac{28}{3}\times A[/tex]

[tex]\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2[/tex]

Multiply both sides by 3.

[tex]4\pi r^3=112\pi r^2[/tex]

[tex]\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}[/tex]

[tex]r=28[/tex]

Using (i), the volume of the sphere is:

[tex]V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3[/tex]

[tex]V\approx 91989[/tex]

Using (ii), the surface area of the sphere is:

[tex]A=4\times \dfrac{22}{7}\times (28)^2[/tex]

[tex]A=9856[/tex]

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

What is the sum of the angles 'a' and 'b' from the diagram below.

Answers

Answer:

90+ 135= 225

Step-by-step explanation:

a can be found with formula (n-2)×180/n, where n is number of sides

a= 135

b=90

please help, i don't understand the subject so i need an answer to help me out:) i will give brainliest to a good answer.

Answers

To be honest, I don't think it has anything to do with the exponent part at all. Instead, I think it has to do with the fact that integers are inherently easier to grasp compared to fractions (which is exactly what rational numbers are).

For instance, it's much easier to say 2+3 = 5 than it is to say 1/2 + 1/4 = 3/4

So going back to the exponent example, it's easier to say

x^2*x^3 = x^(2+3) = x^5

than it is to say

x^(1/2)*x^(1/4) = x^(1/2+1/4) = x^(3/4)

So that's my opinion as to why rational exponents are more tricky to grasp compared to integer exponents. Of course, everyone learns math differently so maybe some find fractions easier than others.

Solve inequality problem (urgent help please)

Answers

Answer:

B

Step-by-step explanation:

|3m-2|=>1

1 <= 3m-2 or 3m-2 <= -1

3 <= 3m or 3m <= 1

1 <= m or m <= (1/3)

Type the equation for the graph
below.

Answers

Answer:

Step-by-step explanation:

This is a "regular" sin graph that's "taller" than the original. The amplitude is 3; other than that, its period is the same and it has not shifted to the right or left, so the equation, judging from the graph, is

[tex]y=3sin(x)[/tex]

Find an explicit formula for the geometric sequence \dfrac12\,,-4\,,\,32\,,-256,.. 2 1 ​ ,−4,32,−256,..start fraction, 1, divided by, 2, end fraction, comma, minus, 4, comma, 32, comma, minus, 256, comma, point, point. Note: the first term should be \textit{a(1)}a(1)start text, a, left parenthesis, 1, right parenthesis, end text. a(n)=a(n)=a, left parenthesis, n, right parenthesis, equals

Answers

Answer:

a(n)= 1/2 * (-8) n-1

Step-by-step explanation:

In a geometric sequence, the ratio between successive terms is constant. This means that we can move from any term to the next one by multiplying by a constant value. Let's calculate this ratio over the first few terms:

\dfrac{-256}{32}=\dfrac{32}{-4}=\dfrac{-4}{\frac12}=\blue{-8}  

32

−256

=  

−4

32

=  

2

1

 

−4

=−8start fraction, minus, 256, divided by, 32, end fraction, equals, start fraction, 32, divided by, minus, 4, end fraction, equals, start fraction, minus, 4, divided by, start fraction, 1, divided by, 2, end fraction, end fraction, equals, start color #6495ed, minus, 8, end color #6495ed

We see that the constant ratio between successive terms is \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed. In other words, we can find any term by starting with the first term and multiplying by \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed repeatedly until we get to the desired term.

Let's look at the first few terms expressed as products:

nn 111 222 333 444

h(n)\!\!\!\!\!h(n)h, left parenthesis, n, right parenthesis \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large0}\!\!\!\!\!\!  

2

1

⋅(−8)  

0

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, start superscript, 0, end superscript \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large1}\!\!\!\!\!\!  

2

1

⋅(−8)  

1

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, start superscript, 1, end superscript \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large2}\!\!\!\!\!\!  

2

1

⋅(−8)  

2

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, squared \red{\dfrac12}\cdot\!\!\!\left(\blue{-8}\right)^{\,\large3}  

2

1

⋅(−8)  

3

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, cubed

We can see that every term is the product of the first term, \red{\dfrac12}  

2

1

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, and a power of the constant ratio, \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed. Note that this power is always one less than the term number nnn. This is because the first term is the product of itself and plainly 111, which is like taking the constant ratio to the zeroth power.

Thus, we arrive at the following explicit formula (Note that \red{\dfrac12}  

2

1

start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030 is the first term and \blue{-8}−8start color #6495ed, minus, 8, end color #6495ed is the constant ratio):

a(n)=\red{\dfrac12}\cdot\left(\blue{-8}\right)^{\large{\,n-1}}a(n)=  

2

1

⋅(−8)  

n−1

a, left parenthesis, n, right parenthesis, equals, start color #df0030, start fraction, 1, divided by, 2, end fraction, end color #df0030, dot, left parenthesis, start color #6495ed, minus, 8, end color #6495ed, right parenthesis, start superscript, n, minus, 1, end superscript

Note that this solution strategy results in this formula; however, an equally correct solution can be written in other equivalent forms as well.

Out of a class of 150 one third opted for Germany two fifth for Italian and rest for French. find how many opted for French​

Answers

Answer:

40

Step-by-step explanation:

Total is 150

Germany=1/3 *150 = 50

Italian= 2/5 * 150 = 60

Total - Germany- Italian= French

150 - 50 -60= 40

How many natural numbers are between 97 through 256?

Answers

Answer: go to this website https://en.wikipedia.org/wiki/256_(number) it may help you

Step-by-step explanation:

There are 156 natural numbers between 97 and 256.

What are the Natural Numbers?

Natural numbers are defined as refer to a set of all the whole numbers excluding 0. We generally utilize these numbers in our speech and daily activities. Everywhere we look, numbers are used to count things, represent or exchange money, measure temperature, tell the time, etc. These numbers that are used for counting objects are called 'natural numbers'. For example, while counting objects 5 pencils.

Given data as :

The natural numbers are 97 and 256

To determine the numbers between the following, firstly subtract them and then subtract 2 to it.

97 and 256

⇒ 256 - 97

⇒ 158

Substract 2 from it.

= 158 -2

= 156

Thus, there are 156 natural numbers between 97 and 256.

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누가 좀 도와주세요 help
[tex] \sin(36) - \cos(54) \\ \tan(80) - \cot(10) [/tex]

Answers

Answer:

Step-by-step explanation:

Sin (90 - ∅) = Cos ∅

90 -54 = 36

Sin 36 = Sin (90 - 54)

            = Cos 54      --------->(I)

Now, Sin (36) - Cos (54) = Cos 54 - Cos 54   {From 1}

                                        = 0

2) tan (90-∅) = Cot ∅

Tan 80 = Tan (90 - 10)

            = Cot 10  ----------(II)

Tan 80 - Cot 10 = Cot 10 - cot 10   -----------(from (II)}

                         = 0

Are you korean?

≧∇≦

ฅ'ω'ฅ

Select the best real-world situation that can be represented by 12 + = 13.50. Group of answer choices Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers? Rachel earns $12 per hour. How long does it take her to earn $13.50? Jane has $13.50 to spend. How many roses can she buy if they are $12 each? Sarah has $12 in her checking account, but has written a check for $13.50. How much is she overdrawn?

Answers

Answer:

Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers?

Step-by-step explanation:

12 + c = 13.50

OpruonnA seems to be the best, hence, Breaking down in real world terms :

13.50 = total cost

Number of variables added to make up total cost = 2 ; this represents the cost of the 2 items purchased ; flowers and perfume

Cost of perfume = 12

Cost of flowers = c

Total cost of items = $13.50

1. Write an expression in simplest form for the area of the figure below:
(answer pls)

Answers

Answer:

(5x+6)(2x+5)-(2x+4)(x+8) simplified is 8x^2+17x-2

Step-by-step explanation:

Answer:

13x²+16x+28

Step-by-step explanation:

S=(5x+6)×(3x+2)=15x²+28x+12

2x+5-x-3=x-2

5x+6-3x+2=2x+8

(x-2)×(2x-8)=2x²-12x+16

15x²+28x+12-2x²-12x+16=13x²+16x+28

que es la razon de una figura semejante

Answers

Answer:

English for fast response

A heron can travel an average of 400 km in 10h. What is the rate of change of distance?

Answers

Rate of change of distance is also known as speed.

Given,

Distance (s) = 400km = 400 × 1000m = 400,000m

Time (t) = 10h = 10 × 3600s = 36,000s

We know that,

Speed (v) = Distance/Time

[tex]=> v = \frac{s}{t} \\ => v = \frac{400000m}{36000s} \\ => v = \frac{400m}{36s} \\ => v = \frac{100m}{9s} \\ => v = \frac{100}{9}m {s}^{ - 2} \\ [/tex]

A heron can travel an average of 400 km in 10 hours. Then the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].

What is the meaning of the term “distance”?

Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors.

The term is frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects, or a degree of separation as exemplified by distance between people in a social network.

The concept of a metric space is used in mathematics to formalize the majority of such concepts of distance, both literal and figurative.

[tex]Distance (s) = 400km \\= 400 \times 1000m \\= 400,000mTime (t) = 10h \\= 10 \times 3600s \\= 36,000s\\\\Speed = Distance / Time\\= 400000 / 36000\\= 11.12 ms^{-2}[/tex]

Therefore, the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].

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ILL GIVE POINTS!! PLS HELP !!!

Which set of polar coordinates describes the same location as the
rectangular coordinates (1. - 1)?
A. (sqrt2,315°)
B. (-1,135°) C. (sqrt2,225°)
D. (1,45°)

Answers

Answer:

The polar coordinates appear in the form (r, θ), where r is the the radius from the center and θ is the angle. To get the radius, do the following.

[tex]r = \sqrt{x^2 + y^2} = \sqrt{1^2 + (-1)^2} = \sqrt{2}\\[/tex]

You can get the angle visually by drawing a point (1, -1) on a graph and seeing that it is 45 degrees from the top right quadrant (you can tell its 45 because both x and y have the same magnitude). Since there are 360 degrees, 360 - 45 = 315.

If you would like to find it mathematically, this is the way to do it

[tex]\theta = atan(y/x) = -45[/tex]

Notice that -45 degrees is just 360 - 45 = 315

Your answer would be

[tex](\sqrt{2}, 315)[/tex]

a man's income is rupees 12000 per month if the.If the rate of income tax ia rs2.50 per rs100,how much tax should he pay?​

Answers

Answer:

don't know

Step-by-step explanation:

ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?

Answers

Answer:

180 degrees

Step-by-step explanation:

ABCD is now opposite where it started, so it was rotated 180 degrees

I hope this helps!

Answer:

180 degrees

Step-by-step explanation:

A tax on which of these products or services would not be considered a sin
tax"?
O A. Alcohol
O B. Gambling
O C. Electronics
O D. Tobacco

Answers

Answer: electronics

Hope that helps

The option that is not considered a sin tax is option B, gambling.

What is a sin tax?

A sin tax is a tax that is applied to "harmful things" to society or individuals. An example of this is Tobacco.

From the given options, the harmful ones are alcohol, gambling, and tobacco. These 3 are considered harmful, so would be included under the sin taxes.

Then the option that is not considered a sin tax is option B, gambling.

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The following ordered pairs represent a function: {(-3, 1), (1, -2), (3, 0), (4, 5)}.

True or False

Answers

Answer:

false

Step-by-step explanation:

this is because there is no function of an unknown in this set

Write an equation in point-slope form for the line through the given point with the given slope. (Need ASAP help)
Is it a, b, c or d?

Answers

A because le puede hacer el pedido para la que oop no se w no

The distance from Clinton to Greenville is 124 miles. To find the speed of a car, use the expression d divided t, where d represents the distance and t represents time. Find the speed of a car that travels from Clinton to Greenville in 2 hours

Answers

Step-by-step explanation:

time = 2 hours

distance travelled(d) = 124 miles

so

speed = d/t

=  124/2

= 62 miles per hour

Therefore, the speed of car is 62 miles per hour.

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PLEASE ANSWER1. What motivated the United States to build the Panama Canal?(5 sentences +)2. How did World War I impact minorities in the war and on the homefront?(5 sentences +) please help me with this problem ! A scientist has acid solutions with concentrations of 4% and 15%. He wants to mix some of each solution to get 44 milliliters of solution with a 12% concentration. How many milliliters of each solution does he need to mix together? Which trait is totally determined by genes Plssss help thank youuu A CPA sole practitioner purchased stock in a client corporation and placed it in a trust as an educational fund for the CPA's minor child. The trust securities were not material to the CPA but were material to the child's personal net worth. Would the independence of the CPA be considered to be impaired with respect to the client? Group of answer choices No, because the CPA does not have a material indirect financial interest in the client. Yes, because the stock is a direct financial interest. No, because the CPA does not have a direct financial interest in the client. Yes, because the stock is an indirect financial interest that is material to the CPA's child. What resulted because Georgia did not allow slavery?A. Plantations had to be divided into smaller farms.B. There wasn't enough lather to grow food crops.C. Native Americans refused to sell land to the farmers.D. Slaves from other colonies ran away to Georgia. In Brad Leithauser's poem "A Teenage Couple," what difficult topic is the couple discussing?how long their relationship will lastwho will break up with whomwhy their relationship is failingwho makes the decisions for the couple Alonzo finish history assignment and 5/8 hours then he completed his math assignment and 1/3 hours what was the total amount of time allowed to spend doing these two assignments HELP ME PLS!!!!!Which of the following is | 5-12i |?A) -119B) 119C) 13D)13 What do these lines tell you about the attitude men on Earth had toward any men on Mars?It is curious to recall some of the mental habits of those departed days. At most terrestrial men fancied there might be other men upon Mars, perhaps inferior to themselves and ready to welcome a missionary enterprise. (4 points)Select one:a. If they existed, they could teach humans things.b. If they existed, they would leave humans alone.c. If they existed, they would be interested in humans.d. If they existed, they would need help from humans. SOMEONE HELP ME PLEASE The Fifteenth Amendment to the United States Constitution a.ended the institution of slavery and indentured servitude throughout the United States. b.prohibited federal and state governments from denying any citizen the vote because of race. c.guaranteed women the right to vote in federal elections but did not allow them to vote in state elections. d.made the income tax constitutional for the top 30 percent of wealthy white Americans but not black southerners. In January, Dieker Company requisitions raw materials for production as follows: Job 1 $970, Job 2 $1,700, Job 3 $790, and general factory use $660. Prepare a summary journal entry to record raw materials used. (Credit account titles are automatically indented when amount is entered. Do not indent manually.) The variables x and y vary inversely, and y=-11 when x = 16. Write an equation that relates x and y. Thenfind y when x = -9. Nhit dung ring ca mt cht l ? The number of music CDs sold in 1993 by one company was approximately 2.310^6.The number of music CDs sold by the same company in 2001 was approximately 7.910^7. What is the difference in CDs sold between 1993 and 2001? Please hurry I will mark you brainliest What is the slope of this? 1. Una empresa realiz una encuesta a 250 personas para saber qu programa de televisin preeren ver en domingo. Se les dieron 3 opciones: deportes, pelculas o musicales. El resultado de la encuesta fue: 130 personas preeren deportes; 80 preeren ver pelculas; 40, musicales; 25 preeren deportes y pelculas; 20, pelculas y musicales; 10, deportes y musicales; y slo a 6 personas les gustan los tres tipos de programas. a) Cuntas preeren ver slo deportes? b) Cuntas preeren ver slo un programa de televisin? c) Cuntas preeren ver pelculas o musicales? If healthcare provider suspect trafficking they should