Identify the function that best models the given data

Identify The Function That Best Models The Given Data

Answers

Answer 1
[tex]\bold{ANSWER:}[/tex]
2ND OPTION

[tex]\bold{SOLUTION:}[/tex]
Identify The Function That Best Models The Given Data
Answer 2

Answer:

f(x) ≈ 58.20x2 + 18.96x + 34.46

Step-by-step explanation:

Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.

First Differences

113 − 34 = 79

304 − 113 = 191

615 − 304 = 311

1042 − 615 = 427

1584 − 1042 = 542

Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.

Second Differences

191 − 79 = 112

311 − 191 = 120

427 − 311 = 116

542 − 427 = 115

The second differences are approximately the same so we will use a quadratic function to represent the data.

Enter the data into a calculator. Plot the data and find the quadratic regression equation that best models the data.

f(x) ≈ 58.20x2 + 18.96x + 34.46


Related Questions

catalina spent &17.50 on 10 scrunchies. what is the unit cost?

Answers

Answer:

48

Step-by-step explanation:

20 scrunchies=3 dollars

7.25 dollars = ?

1 dollar=6.66666666

0.25 dollar=1.666666666666

7*6.66666666=46.666666

I NEED HELPPP ON THISS ONEE PLEASSEEEE

Answers

Answer:

6 , 9

Step-by-step explanation:

- 3 x - 4y = - 54
    4x + 4y = 60
Eliminate => x = 6

x + y = 15
when x =6  ; => y = 9

theHighest Common Factor of 84 and 24

Answers

Answer:

12

Step-by-step explanation:

theHighest Common Factor of 84 and 24

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

There are 6 common factors of 24 and 84, that are 1, 2, 3, 4, 6, 12. Therefore, the greatest common factor of 24 and 84 is 12.

Which gives the value of 16 divided by 2 times 4 minus 20?

Answers

Answer:

16/2×4−20 = 12

Step-by-step explanation:

NOTE : Make sure to review the order of operations

16/2×4−20 = (16÷2)×4-20

                  = 8×4-20

                  = 32-20

                  = 12

Use a tree diagram to find how many ways you can arrange the letters in the word FARM.
A) 16
B) 24
C) 256
D) 12

Answers

Answer:

B. 24 posibbly

Step-by-step explanation:

4. One of three contestants will be randomly selected to win a prize. One of three different prizes will be randomly awarded to the contestant whose name is selected to win. The tree diagram shows all possible outcomes of this contest. Prize 1 1 Pedro Prize 2 Prize 3 Prize 1 Whitney Prize 2 Prize 3 Prize 1 Bryan Prize 2 Prize 3 What is the probability that Whitney will win Prize 2?​

Answers

The probability that Whitney will win Prize 2 will be [tex]\frac{1}{9}[/tex]. Probability is the ratio of the favorable event to the total number of events.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

The total no of the contestants=3

Randomly selection of the prize-=1

The probability that Whitney will win Prize 2 will be;

[tex]\rm P= P(A)P(B) \\\\ P=\frac{1}{3} \times \frac{1}{3}\\\\ P= \frac{1}{9}[/tex]

Hence, the probability that Whitney will win Prize 2 will be [tex]\frac{1}{9}[/tex]

To learn more about the probability, refer to the link;

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what is the answer to
-(-4x-7)+x=-4

Answers

Answer:

-128

Step-by-step explanation:

hope it helps srry if its wroung:>

explain how mid-nineteenth-century American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole. how did society influence the art? how did the art influence society?​

Answers

Answer:

Step-by-step explanation:

American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole. how did society influence the art

At Tower Middle School, there are 14 girls and 16 boys in Mr. Bell's class. There are 17 girls and 19 boys in Ms. Carlson's class. Which of the following best compares Mr. Bell's and Ms. Carlson's classes?
A.
They have the same ratio of girls to boys because a straight line can be drawn through the points (14,16) and (17,19) on a coordinate grid.


B.
They have the same ratio of girls to boys because a straight line can be drawn through the points (14,16), (17,19), and (0,0) on a coordinate grid.


C.
They do not have the same ratio of girls to boys because a straight line cannot be drawn through the points (14,16) and (17,19) on a coordinate grid.


D.
They do not have the same ratio of girls to boys because a straight line cannot be drawn through the points (14,16), (17,19), and (0,0) on a coordinate grid.

Answers

Answer:

D.  They do not have the same ratio of girls to boys because a straight line cannot be drawn through the points (14, 16), (17, 19), and (0, 0) on a coordinate grid.

Step-by-step explanation:

In order to check if the ratio is the same, convert the ratios to (x, y) points, plot them on a graph and see if you can draw a straight line through them and the origin (0, 0).  If you can, then the ratios are the same.  If not, then the ratios are not the same.

After plotting (14, 16) and (17, 19) and (0, 0) on a graph (attached), you can see that a straight line will only go through any two of the points, but not all three.  Therefore, the ratios are not the same.

In the expression StartFraction 7 m over 9 EndFraction + 6 r minus four-fifths, what are the coefficients?
Negative four-fifths and 6
StartFraction 7 over 9 EndFraction and negative 6
StartFraction 7 over 9 EndFraction and Negative StartFraction 4 over 5 EndFraction
StartFraction 7 over 9 EndFraction and 6

Answers

Answer:

7/9 and 6

Step-by-step explanation:

The given expression is

=> [tex]\frac{7m}{9} +6r-\frac{4}{5}[/tex]

Coefficients are the numbers with variables.

So, here in this expression the coefficients are 7/9 and 6

Please write the solution

Answers

Answer:

D .

Step-by-step explanation:

that is the answer to the question

What is the value of the expression 5x2 + 2x when x = 5?

Answers

Answer:

135

Step-by-step explanation:

Given:

[tex]x = 5[/tex]

To determine a numerical value for the expression, simply substitute the value of "x" into the expression and simplify the expression, if necessary, to determine a specific number for the expression provided.

[tex]\implies 5x^{2} + 2x[/tex][tex]\implies 5(5)^{2} + 2(5) \longrightarrow \longrightarrow \longrightarrow (x = 5)[/tex][tex]\implies 5(5)(5) + 2(5)[/tex][tex]\implies 125 + 10[/tex][tex]\implies 135[/tex]

Therefore, the value of the expression [tex]5x^{2} + 2x[/tex] when x = 5 is 135.

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Isaac Newton proved that fluids cool exponentially when left out in an open space. A cup of coffee was poured at a
temperature of 210°F and left on the dining room table to cool. If you start drinking it at a temperature of 150°F, 10 minutes
later, what will be the temperature be when you take the last sip 18 minutes after you poured it?

Answers

The temperature will be when you take the last sip 18 minutes after you poured it, will be 114.64 °F.

What is an exponent?

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

Isaac Newton proved that fluids cool exponentially when left out in an open space.

A cup of coffee was poured at a temperature of 210°F and left on the dining room table to cool.

If you start drinking it at a temperature of 150°F, 10 minutes later.

The exponential function is given as

[tex]\rm T_f = T_i (a)^{-t}[/tex]

Then the initial temperature will be 210°F.

[tex]\begin{aligned} 150 &= \rm 210 (a)^{-10}\\\\0.7143 &= \rm a^{-10}\\\\-0.146 &= \rm -10 \log a\\\\0.0146 &= \rm \log a\\\\\rm a &= \rm 1.0342 \end{aligned}[/tex]

Then the equation will be

[tex]\rm T_f = 210 (1.0342)^{-t}[/tex]

Then the temperature will be when you take the last sip 18 minutes after you poured it.

[tex]\rm T_f = 210 (1.0342)^{-18}\\\\T_f = 114.64 \ ^oF[/tex]

More about the exponent link is given below.

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In the congruent figures ABCD and WXYZ, which angles are corresponding?
A
A and B

B
B and X

C
A and Y

D
D and W

Answers

Answer: B

The letters have the same positions in the figure names.

In congruent figures ABCD and WXYZ, corresponding angles are angles that have the same position relative to their respective vertices.

In congruent figures ABCD and WXYZ, corresponding angles are angles that have the same position relative to their respective vertices.

For example, angle A and angle W are corresponding angles, as they are both opposite the vertex where angle D and angle X are vertices.

Similarly, angle B and angle X, angle C and angle Y, and angle D and angle W are all corresponding angles in the congruent figures ABCD and WXYZ.

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Summer school classes begin at 8:30 and last for two and a half hours. At what time
the classes end?

Answers

Answer:it ends at 11:00

Step-by-step explanation:8:30+2:30=11:00

Answer:

11:00

Step-by-step explanation:

8:30 + half an hour = 9:00

9:00 + 2 hours = 11:00

4/7
of a number is 36
What is the number?

Answers

[tex]\text{If the number is x,}\\\\~~~~~\dfrac 47 \cdot x =36\\\\\implies 4x = 36 \times 7\\\\\implies x =\dfrac{36 \times 7}4\\ \\\implies x = 9 \times 7\\\\\implies x = 63\\\\\text{Hence, the number is 63.}[/tex]

Answer:

[tex]\huge\boxed{\bf\:x = 63}[/tex]

Step-by-step explanation:

Given,

4/7th of a number = 36

Let's take the unknown number as 'x'.

Now,

4/7 × x = 36

Take the reciprocal of 4/7 to the other side of the equation .

x = 36 × 7/4

Cancel 36 by 4.

x = 9 × 7

Multiply the 2 numbers

x = 63

[tex]\rule{150pt}{2pt}[/tex]

what’s 690 divided by 4???

Answers

172.5! hope this helps

Answer:

Step-by-step explanation:

172.5 is the correct answer.

U
(a) Describe the relationship among the lengths of the segments formed by the secant, and the tangent segment. You may use words and/or an equation

Answers

Answer:

I think that in itself the strongest bond of relationship is the intersecting line that is unified from end to end points

Needs help quick. What best describes the lined shown below?

Answers

Answer:

it is the third option

C. externally tangent

Answer:

it is the third option

C. externally tangent

Step-by-step explanation:

help me please please please

Answers

Answer:

0.6915692913385827

Step-by-step explanation:

use pi days arc calc

What is “b” in the following quadratic equation:
4x^2-3x-11=0

Answers

Answer:

The value of b in the quadratic equation is -3

Step-by-step explanation:

4x²-3x-11=0

a = 4

b = -3

c = -11

the hcf and lcm of 180, 150 and 315​

Answers

Answer:

HCF=15    LCM=6,300

Step-by-step explanation:

Answer:

HCF = 15

LCM = 6300.

Step-by-step explanation:

Write them out as a product of their prime factors:

180 = 2*2*3*3*5

150 = 2*3*5*5

315 = 3*3*5*7

Picking out the factors common to all 3 list of prime factors:

The GCF = 3*5 = 15.

To find the LCM we pick out all the numbers except if there are repeated number we only use them once, So for example  we only take 2*2 for the calculation as there is a pair of 2's in 180 and 150 factors and there is an extra 2 in 180 - so we only take 2 of the 3 2's.

LCM = 2 * 2 * 3 * 3 * 5 * 5 * 7

= 6300.

NEED HELP SHOW WORK WILL GIVE BRAINLYEST

Answers

It would be 14 for the perimeter

you and your mom enter drawing with three different prices the prizes are awarded at random is a total of 8 people entered the drawing and how many ways can you win first prize and your mom went second prize

Answers

The number of ways in which you can win first prize and your mom went the second prize will be 8. Then the correct option is D.

What are permutation and combination?

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

You and your mom enter the drawing with three different prices the prizes are awarded at random is a total of 8 people entered the drawing.

Then the number of the ways in which you can win first prize and your mom went the second prize will be

Let x be the number of different ways.

Then we have

[tex]\rm x = \ ^8C_1\\\\x = 8[/tex]

Thus, the number of ways in which you can win first prize and your mom went the second prize will be 8.

More about the permutation and the combination link is given below.

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In the 2016 Rio Olympic games, the total of gold, silver and bronze medals won by China was 70.

They won:
• 18 silver medals,
• the same number of gold medals as they did bronze medals.

How many gold medals did China win?

Answers

26 gold metals

Explanation: 70 - 18 silver = 52 metals left

52/2= 26 … so 26 + 26= 52 52 + 18=70

What is the solution to this equation?

a/6-11=25

Answers

Answer:

a=216

Step-by-step explanation:

Please help me ASAP!!! 5th grade math. You can do it!

Answers

Answer:

1/6.

Apologies if I'm wrong but I haven't been in 5th grade in a long time.

Step-by-step explanation:

I think you divide each number across.

Step 1: Story

One day, a girl named sarah wanted to share cookies in between 3 of her best friends. However, she only had 1/2 of her cookie left. So she divided her cookie by 3 to share her cookie with every single friend

Step 2: Solve

1/6.

The value of 1/2 divided by 3 is 1/6.

---

I hope this helps! I remember being in 5th grade and this was super hard math for me

Explain what “solution” means for a system of two linear equations. Give an example.

Answers

Answer:

A solution of a system of equations is a list of numbers x , y , z ,... that make all of the equations true simultaneously. The solution set of a system of equations is the collection of all solutions. Solving the system means finding all solutions with formulas involving some number of parameters.

Step-by-step explanation:

hope it will help you

Answer:

Step-by-step explanation:

In this context "solution" means a point whose x- and y-coordinates satisfy both equations.

If we're given the two linear equations x + y = 3 and 2x - y  = 7, we can solve them by addition and subtraction (among other methods):

3x = 3 + 7, or 3x = 10, or x = 10/3.  

Substitute this result into x + y = 3 to find the corresponding y value;  

10/3 + y = 3, or 10/3 + y = 9/3, or y = 1/3.  

Then the "solution" is the point (10/3, 1/3).


Factor completely 3x – 15.
3(x - 5)
3(x + 5)
3x(-15)
Prime

Answers

Answer:

A. 3(x-5)

Step-by-step explanation:

USE M-A-T-H-W-A-Y

Step-by-step explanation:

[tex]3x - 15[/tex]

Bind the expression with the common factor three .

3 ( x - 5 )

PLEASE SOLVE ASAP!! WILL GIVE BRAINLIEST TO QUICKEST AND FIRST ANSWER!!

Solve: 5√(x + 10) - 15 = 30

Solve: √(x + 2) + 8 = 6

Answers

1. x=71

This is solved by isolating the radical then raising each side of the equation to the power of its index.

2. NO SOLUTION

There are no values of x that make the equation true.

Answer:

1. 71

2. No solution

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