The table shows the relationship between time spent running and distance traveled. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 1, 2, 3, 4, 5. The second column is labeled distance (feet) with entries 530; 1,050; 1,600; 2,110; 2,650. Which type of model best describes the relationship?
linear, because the r value for the linear model is closest to 1
exponential, because the r value for the exponential model is closest to 0
linear, because the rate of change between each pair of points is exactly 520
exponential, because the rate of change between each pair of points is 1.98

Answers

Answer 1

Answer:

Step-by-step explanation:

It is not perfectly linear because the difference between the y values is not constant. However, when you use the regression function on your calculator and enter the L1 values as your x's and the L2 values as your y's and use the LinReg equation, you get an r-squared value of .999900 and an r value of .999950. So it linear, with your answer being "linear, because the r value for the linear model is closest to 1".

Answer 2

In this question, we have two columns, you giving the time and the other the distance. We have to identify it the relationship is linear or exponential.

First, I am going to explain when we have a linear relation and when we have an exponential relation, then we observe the data and solve this question, getting the following correct answer:

linear, because the r value for the linear model is closest to 1

Linear and exponential data:

If the absolute value of the change assume close values, it is linear.

If the rates are, it is exponential.

Data:

t = 1 -> d = 530

t = 2 -> d = 1050

t = 3 -> d = 1600

t = 4 -> d = 2110

t = 5 -> d = 2650

Subtractions:

2650 - 2110 = 540

2110 - 1600 = 510

1600 - 1050 = 550

1050 - 530 = 520

Divisions(rates):

2650/2110 = 1.25

2110/1600 = 1.32

1600/1050 = 1.52

1050/530 = 1.98

The rates change considerably more than the subtractions, so it is linear relationship, and the correct option is:

linear, because the r value for the linear model is closest to 1.

For more on linear/exponential growths, you can check https://brainly.com/question/24282972


Related Questions

PLEASE help me with this question. This is really URGENT

Answers

Answer:

c. p(10)=26,327(1+0.024)^10

Step-by-step explanation:

its just the answer

Answer:

[tex]\boxed{\sf Option \ 3}[/tex]

Step-by-step explanation:

The problem is exponential growth.

[tex]a(1+r)^t[/tex]

[tex]a = \sf initial \ amount[/tex]

[tex]r = \sf rate[/tex]

[tex]t= \sf time[/tex]

The third option is right.

[tex]P(10)=26237(1+2.4\%)^{10}[/tex]

[tex]P(10)=26237(1+0.024)^{10}[/tex]

the volume of a cube is 125cm cubed. The area of a square is 64cm squared. How does the length of one edge of the cube compare to the length of one side of the square? Explain

Answers

Answer:

One edge of the cube is 5 cm, one edge of the square is 8 cm, so the edge of the cube is 3 cm shorter than the edge of the square.

Step-by-step explanation:

The volume of the cube is found by the formula

V = s³,

where s is the side length (called the edge in this problem)

Since V = 125 cm³, we can take the cube root of 125 to find the edge length.

The cube root of 125 is 5, ( 5³ = 125)

So the edge of the cube is 5 cm

The are of a square is found by the formula

A = s² ,  

where s is the side length (called the edge in this problem)

Since A = 64 cm², we can take the square root of 64 to find the edge length.

The square root of 64 is 8  (8² = 84)

So the edge of the square is 8cm

Comparing the two edges tells us that the edge of the cube is 3cm shorter than the edge of the square.

3-2y-1+5x^2-7y+7+4x^2

Answers

Answer: Hi!

The only thing we can do to simplify the equation is combine like terms.

5x^2 + 4x^2 = 9x^2

-2y - 7y = -9y

3 - 1 + 7 = 9

Our equation now looks like this:

9x^2 - 9y + 9

We have nothing left to simplify, so we're done!

Hope this helps!

How many bicycles and how many skateboards are in the shop? Show your work.

Answers

Answer:75

Step-by-step explanation:54+21

Answer:

15 bicycles, 6 skateboards

Step-by-step explanation:

We are looking for the number of skateboards and the number of bicycles. Those two numbers are our unknowns.

We define variables for those two numbers.

Let s = number of skateboards.

Let b = number of bicycles.

A skateboard has 4 wheels. s number of skateboards have 4s wheels.

A bicycle has 2 wheels. b bicycles have 2b wheels.

The total number of wheels is 4s + 2b.

The total number of wheels is 54, so our first equation is

4s + 2b = 54

The total number of skateboards and bicycles combined is s + b.

We are told the total number of skateboards and bicycles combined is 21.

The second equation is

s + b = 21

We have a system of two equations in two unknowns.

4s + 2b = 54

s + b = 21

We can solve it by the elimination method.

Rewrite the first equation below.

Multiply both sides of the second equation by 2 and write it below that. Then add the equations.

          4s + 2b = 54

(+)      -2s - 2b = -42

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

          2s         = 12

s = 6

There are 6 skateboards.

Now we substitute 6 for s in the second original equation and solve for b.

s + b = 21

6 + b = 21

b = 15

There are 15 bicycles.

Answer: 15 bicycles, 6 skateboards

Combine your expressions from part E (x+2) and part F (y+ (-4) to give the pair of coordinates of any point after a translation two yards East and four yards south.

Answers

Answer:

A'(5, 2), B'(5, -1), C'(6, -1), D'(6, 2)

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a final position. If an object is transformed all its points are also transformed. Types of transformation are reflection, rotation, translation and dilation.

If a point O(x, y) is translated left by h unit, the new coordinate is O'(x-h, y) while if O(x, y) is translated right by h unit the new coordinate is O'(x+h, y)

If a point O(x, y) is translated up by h unit, the new coordinate is O'(x, y+h) while if O(x, y) is translated down by h unit the new coordinate is O'(x, y-h)

The location of the shape as shown in the diagram is:

A(3, 6), B(3, 3), C(4, 3), D(4, 6)

If the points are translated two yards East and four yards south, it means it is translated 2 unit right and 4 unit down i.e. (x+2, y-4). The new coordinates are:

A'(5, 2), B'(5, -1), C'(6, -1), D'(6, 2)

Answer:

ombining the expressions from parts E and F, for any given initial point (x, y), the coordinates of the new point after a translation of two yards east and four yards south are (x + 2, y + (-4)).

Step-by-step explanation:

this is more simple

Solve for f.
-f + 2 + 4f = 8 - 3
f=​

Answers

Answer:

1

Step-by-step explanation:

-f + 2 + 4f = 8 - 3

3f = 6 - 3

3f = 3

f = 1

Answer:

f=1

Step-by-step explanation:

-f+2+4f=8-3

First what you want to do i that you want to simplify as best as you can.

-f+2+4f=8-3 becomes 3f+2=8-3 because you add the 4f to the -1f.

Then, just subtract 2 from both sides to get 3f=8-5

Now, simplify even more

3f=8-5 becomes 3f=3

It should be easy now, but if you still need help, divide

f=1

Point F lies on line EG and point M lies on line EN. If F, E, and M are collinear, what must be true of these rays?

Answers

Answer:

Step-by-step explanation:

Some options would have definitely helped in answering this question. i am answering this question based on my knowledge. If F,E, and M are collinear, then EG and EN will form a line. Some options would have definitely helped in answering this question. i am answering this question based on my knowledge. If F,E, and M are collinear, then EG and EN will form a line.

What property is 21+(36+19)

Answers

Answer:

76

Step-by-step explanation:

21+(36+19)

21+(55)

21+55

=76

Answer:

The identity property

Step-by-step explanation:

I took it on Egd.

What is the volume of the rectangular prism 3 1/2, 5 1/4,4 in

Answers

Answer:

73.5in³

Step-by-step explanation:

You multiply the three numbers.

3.5x5.25x4=73.5in³

what is the prime factorization of 430

Answers

Answer:

[tex]\huge \boxed{430=2 \times 5 \times 43}[/tex]

Step-by-step explanation:

Using factor tree,

Answer:

[tex]\large\boxed{2, 5, 43}[/tex]

Step-by-step explanation:

                                                          430

                                                      /             \

                                                  215              2

The 2 cannot be factorized anymore, so I will put a small box around it.

                                                          430

                                                      /             \

                                                  215            [tex]\boxed{2}[/tex]

                                                  /  \                

                                             43     5

5 and 43 cannot be factorized any smaller.

                                                          430

                                                      /             \

                                                  215            [tex]\boxed{2}[/tex]

                                                  /  \                

                                             [tex]\boxed{43}[/tex]     [tex]\boxed{5}[/tex]

The prime factorization is the numbers in the boxes, which are 2, 5, and 43.

[tex]\large\boxed{2, 5, 43}[/tex]

Hope this helps :)

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

If the formatting is not showing up correctly, please refer to the images of my answer below instead.

Practice Writing Composite Functions Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for h(f(x)).

Answers

Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

f(x) = x - 7

h(x) = 2x + 3

To find h(f(x)) substitute f(x) into h(x) that's replace every x in h(x) by f(x)

That's

h(f(x)) = 2(x - 7) + 3

h(f(x)) = 2x - 14 + 3

We have the final answer as

h(f(x)) = 2x - 11

Hope this helps you

equation y = (2x)/(x-1), how do I get -0.5 as the x intercept ???​

Answers

Answer:

( 0,0) is the x intercept

Step-by-step explanation:

y = (2x)/(x-1),

To find the x intercept set y = 0 and solve for x

0 =  (2x)/(x-1)

Multiply by x-1 on each side assuming x does not equal 1

0 = 2x

x = 0

The x intercept is 0

( 0,0) is the x intercept

PLS HELL I WILL GIVE BRAINLIST AND A THANK YOU

Answers

Answer:

[tex]\huge \boxed{20}[/tex]

Step-by-step explanation:

The angles add up to 90 degrees.

x + 2x + x + 10 = 90

Combine like terms.

4x + 10 = 90

Subtract 10 from both sides.

4x = 80

Divide both sides by 4.

x = 20

Answer:

x = 20

Step-by-step explanation:

Since we are solving for x let's create an equation

The whole thing is equal to 90 degrees, so we can keep that on one part of the equation

x + 2x + (x + 10) = 90

First let's add all of the x's together making it 4x + 10 = 90

Now subtract 10 from each side 4x = 80

Lastly, divide 4 on each side

x = 20

Determine whether or not the given pair of triangles is similar and state how you know.
Is ΔGHI ~ ΔJKI?
Mark all that apply.

Answers

Answer:

            by SAS.                Yes  

Step-by-step explanation:

∠HIG and ∠JIK are vertical angles, so:

m∠HIG = m∠JIK

[tex]\dfrac{GI}{IJ}=\dfrac{7.5}3=2.5\\\\\dfrac{HI}{IK}=\dfrac{2.5}1=2.5[/tex]

[tex]\left\{\dfrac{GI}{IJ}=\dfrac{HI}{IK}\quad\ \wedge\quad m\angle HIG=m\angle JIK\right\}\implies \triangle HIG\sim\triangle JIK\ \ by\ SAS[/tex]

Use the concept of slope to find t such that the three points are collinear. (-8,5) (0,t) (2,-1)

Answers

Answer:

t = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Since the points are collinear they lie on the same line.

Thus the slopes between any of the 3 points are equal.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 5) and (x₂, y₂ ) = (2, - 1)

m = [tex]\frac{-1-5}{2+8}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex]

Repeat using

(x₁, y₁ ) = (- 8, 5 ) and (x₂, y₂ ) = (0, t) and equate to previous m

m = [tex]\frac{t-5}{0+8}[/tex] = [tex]\frac{t-5}{8}[/tex] = - [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(t - 5) = - 24 , that is

5t - 25 = - 24 ( add 25 to both sides )

5t = 1 ( divide both sides by 5 )

t = [tex]\frac{1}{5}[/tex]

As part of a chemistry experiment, Barry is making a mixture of two solutions. He uses 4 cups of solution A for every 2 cups of solution B. The table below shows the numbers of cups he uses of solution A and solution B. Solution A (cups) Solution B (cups) 4 2 8 4 12 6 16 8 Using the information from the table, choose the correct statement. A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3. B. The ratio of the number of cups of solution A to the total number of cups of the mixture is 3:2. C. There are 3 cups of solution A for every 6 cups of mixture. D. For each cup of solution A, there are 2 cups of solution B.

Answers

Answer:

A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3

Step-by-step explanation:

Solution A= 4 cups

Solution B= 2 cups

Total cups of the mixture=4+2=6

A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3.

Solution A= 4 cups

Mixture=6 cups

Solution A : Mixture =4 : 6

=2:3

Option A is true

B. The ratio of the number of cups of solution A to the total number of cups of the mixture is 3:2.

Solution A= 4 cups

Mixture=6 cups

Solution A : Mixture =4 : 6

=2:3

Option B not true

C. There are 3 cups of solution A for every 6 cups of mixture.

Option C states that:

Solution A=3 cups

Mixture=6 cups

Solution A : Mixture=3:6=1:2

This is not true

D. For each cup of solution A, there are 2 cups of solution B.

Option D states:

Solution A= 1 cups

Solution B= 2 cups

This is not true

It is rather

Solution A= 2 cups

Solution B= 1 cups

Therefore, option A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3 is the correct statement

What is x
I dont get it

Answers

Answer:

x = 35

Step-by-step explanation:

The angles of a triangle add to 180 degrees

103+ 42 + BCA = 180

BCA = 180 -103 -42

BCA =35

BCA and x are corresponding angles and corresponding angles are equal if the lines are parallel

A
Find the value of x. Your answer must be exact.
30
9

Answers

Tan30=9/x so it will be 9((3)^1/2)

Answer:

x = 9√3

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use tan

tan∅ = opposite/ adjacent

From the question

The opposite is 9

The adjacent is x

Substitute the values into the above formula

That's

[tex] \tan(30) = \frac{9}{x} [/tex]

[tex]x \tan(30) = 9[/tex]

Divide both sides by tan 30

[tex]x = \frac{9}{ \tan(30) } [/tex]

We have the final answer as

x = 9√3

Hope this helps you

Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x

Answers

Answer:

Well the correct answer is −4x+28... But I don't

see that as one of your options. :/

Simplify:

18−2(x+x−5)

Distribute:

=18+(−2)(x)+(−2)(x)+(−2)(−5)

=18+−2x+−2x+10

Combine Like Terms:

=18+−2x+−2x+10

=(−2x+−2x)+(18+10)

=−4x+28

Answer:

−4x+28

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

18 - 2 [ x + ( x - 5 ) ]

Remove the unnecessary Parentheses

⇒18 - 2 [ x + x - 5 ]

Collect like terms

⇒18 - 2 [ 2x - 5 ]

Distribute 2 through the parentheses

⇒18 - 4x + 10

Add the numbers

28 - 4x

Hope I helped!

Best regards!!

a man bought a car for 8500 GH cedis and he later sold it at for 9500. find his percentage gain

Answers

Answer:

11.7647059 % gain

Step-by-step explanation:

To find the gain, take the new amount and subtract the original amount

9500-8500 = 1000

Divide by the original amount

1000/8500=.117647059

Multiply by 100% to get in percent form

11.7647059 % gain

Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar

Answers

Answer:

321/8 ft^2

Step-by-step explanation:

The whole area is 49/4 × 5 = 245/4 ft^2

The area of tiled floor is 13/2 × 13/4 = 169/8

245/4 - 169/8 we need to equalise the bottom of fraction to subtract so

2/2 × 245/4 = 490/8

490/8 - 169/8 = 321/8 ft^2

Evaluate the expression 5^3

Answers

Answer: Five to the power of three (5*5*5) is equal to 125.

Hope this helps!

Answer:

125

Step-by-step explanation:

[tex]5^3=\\\\5*5*5=\\\\25*5=\\\\\boxed{125}[/tex]

Malia measures the longer side of a dollar bill using a ruler at school. Which of the following is most likely the quantity she measured?

Answers

Answer:

Step-by-step explanation:

The most likely quantity is centimetres.

The second option can be inches.

Hope this helps

plz mark it as brainliest!!!!!!!!!

|10-11| = simplify the expression

Answers

Answer:

1

Step-by-step explanation:

Let's ignore the absolute value signs for a moment.

We have the expression [tex]10-11[/tex]. We know that if we subtract 10 from 10 we get 0, so if we subtract 11 from 10 we must get -1.

However, there is an absolute value sign. This means that whatever number is inside it has to be converted to a positive number.

-1 as a positive number is +1, or just 1.

Hope this helped!

3 x 19 x 14 + 18 ÷ 2

Answers

Answer:

807

Step-by-step explanation:

[tex]3 \times 19 \times 14 + 18 \div 2 \\ PEDMAS \\ (3 \times 19 \times 14 )+ 9 \\ = 798 + 9 \\ [/tex]

[tex] = 807[/tex]

Answer:

408

Step-by-step explanation:

3x19= 57

57x14= 798

798 + 18= 816

816/ 2= 408

Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music. How many more of Jorge's relatives,as compared to his classmates, like salsa music?

Answers

Answer:

6 more

Step-by-step explanation:

Find 56% of 75 first

75/x=100/56

(75/x)*x=(100/56)*x      

75=1.78571428571*x      

(1.78571428571) to get x

75/1.78571428571=x

42=x

x=42

Then Find 80% of 60

60/x=100/80

(60/x)*x=(100/80)*x    

60=1.25*x      

60/1.25=x

48=x

x=48

Subtract 48 by 42

=6

PLEASE HELP
Arrange the functions for which the result is a non-infinite value and the limit exists in ascending order of their limit values as x tends to infinity.

Answers

Answer:

h,k,i,m,g,l

Step-by-step explanation:

I did all the work and i(x) limt should = -.25 and k(x) =0 but it said it was wrong.  f(x) and j(x) cant be used, so my guess is to switch i(x) and k(x)

The answer is given in the image below.

Do all functions have limits?

One of the fundamental standards of calculus is limits (limits of a function); it offers the fee of a function at a particular factor called limit. Limits are used to calculate the exact vital of the function. Not all functions include limits. A few functions no longer have any restrictions as the variable has a tendency to infinity.

What are examples of nonfunctions?

The equations y = ± x and x 2 + y 2 = 9 are examples of non-function due to the fact there is at least one -price with or greater -values.

Learn more about Limits here: https://brainly.com/question/251701

#SPJ2

solve for x 3x - 4 = 3x - 10

Answers

Answer:

no solution

Step-by-step explanation:

3x - 4 = 3x - 10

Subtract 3x from each side

3x-3x - 4 = 3x-3x - 10

-4 = -10

This is never true so there is no solution

Answer:

Step-by-step explanation:

I think you might have copied down the problem incorrectly.

If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:

3x-4=3x-10

   +10    +10

3x+6=3x

-3x     -3x

6=0 (which is FALSE)

Hope this helps!

P.S. Please give me brainliest. Thanks :)

what is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6

Answers

[tex]\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4[/tex]

Part 1: You work 4 hours and earn $36. What is your earning rate (dollars per hour)?​

Answers

Answer:

9 dollars per hour

Step-by-step explanation:

36/4=9

Answer:

9

Step-by-step explanation:

4 hours : $36

1 hour : $ x

we need to find x so,

4 hours ÷ 4 = 1 hour

1 : $

since we have divided 4 by 4,

we need to do that to 36 aswell

36  ÷ 4 = 9

1 hour : $9

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