The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table.
The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity. Based on the scatterplot, which equation BEST represents the relationship between velocity and time?

Answers

Answer 1

The equation BEST represents the relationship between velocity and time is y = 2.2x + 6.

According to the statement

we have given some data in the form of graph according to the velocity per time and we have to find the relationship between the velocity and time.

So, for this purpose,

we know that the best method show the relationship is a slope intercept form.

So,

The slope intercept form is a the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

And

Using the coordinate points on the plane (0, 6) and (10, 28)

now we Determine the slope

Slope = 28-6/10-0

Slope = 22/10

Slope = 2.2

And then Determine the y-intercept

6 = 2.2(0) + b

b = 6

And now we have to put in the general form of the slope intercept form which is y = mx + b

Then the equation become

y = 2.2x + 6

So, The equation BEST represents the relationship between velocity and time is y = 2.2x + 6.

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Related Questions

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. a regular hexagon has an apothem with length 14 centimeters and a perimeter of 96 centimeters. what is the approximate area of the hexagon?

Answers

The approximate area of the hexagon = 672 cm²

What is hexagon ?

In geometry, hexagon is a polygon with 6 sides. If the lengths of all the sides and the measurement of all the angles are equal, such hexagon is called a regular hexagon. In other words, sides of a regular hexagon are congruent.

apothem of the hexagon = 14 cm

perimeter of the hexagon = 96 cm

Area of the hexagon = [(3√3) / 2] a² ; where a is the measure of the side

hexagon has 6 sides.

Perimeter = 6a

96 cm = 6a

96 cm / 6 = a

16 = a

There are 6 triangles in the hexagon .

Area of a triangle = (height * base) / 2

A = (14 cm * 16 cm) / 2

A = 224 / 2

A = 112 cm²

The approximate area of the hexagon = 112 cm² * 6 triangles = 672 cm²

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Answer: D). 672 cm2

Step-by-step explanation:

True or False: When x-coordinates are selected to create a table of values for a function, negative values of x may not be used.

Answers

[tex] \sf \blue{True✅}[/tex]

Step-by-step explanation:

Yes, it's true sometimes we don't use negative value of 'x'.

So, we conclude it's True.

Hope it help you

Function a (b) relates the area of a trapeze with a given height of 14 and a base length of 5 with the length of its other base. it takes the other base value as input and returns the trapeze area as output. what equation below represents the inverse function b (a), which takes the trapeze area as input and returns the length of the other base as an output?

Answers

The function accepts the trapezoid's area as input and returns as output the length of the other base exists A(x)/7-5=x.

What is an area of a trapezoid?

The function of the trapezoid area exists:

[tex]A(x)=(B+b)*h/2[/tex]

where B exists the bases

h stands the height.

Given a height of 14 and one base length of 5 with the length of its other base

With the given data:

h = 14B and b =5 and x (it may vary which one exists bigger)

So that function becomes:

[tex]$A(x)=(5+x)*14/2[/tex]

A(x) = (5 + x) [tex]*[/tex] 7

So if you want the inverse function, to find the value of x:

A(x) / 7 = 5 + x

A(x )/ 7 - 5 = x

Therefore, the function accepts the trapezoid's area as input and returns as output the length of the other base exists A(x)/7-5=x.

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Latoya has a lot of doctor’s visits coming up, and her children all need vaccinations for the upcoming school year. which type of insurance would be most helpful to her in this situation?

Answers

Health insurance would be most helpful to Latoya.

What is Health insurance?Health insurance, often known as medical insurance in South Africa, is a type of insurance that covers all or part of the risk of a person incurring medical expenses. Risk, like other types of insurance, is shared among many people. An insurer can design a routine finance structure, such as a monthly premium or payroll tax, to provide the money to pay for the health care benefits stipulated in the insurance agreement by calculating the overall risk of health risk and health system expenses over the risk pool.The benefit is managed by a central institution, such as a government agency, a private company, or a non-profit organization.

Therefore, health insurance would be most helpful to Latoya.

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What are the parts of an algebraic expression, and how do they relate to polynomial expressions?

Answers

The parts of algebraic expressions related to polynomials are variables and coefficients.

What are the parts of algebraic expressions?

The parts of algebraic expressions are;

Variables which are letters that represent numbersCoefficients are numbers that multiply the variables Constant is a number that is not multiplied by any variable

Polynomials are algebraic expressions composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, and multiplication

Polynomials consists of variables and coefficients. The variables in polynomials are also called indeterminates. The coefficients also multiply this variables.

Thus, the parts of algebraic expressions related to polynomials are variables and coefficients.

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. What is the midpoint of a line segment connecting the points (−4,6) and (8,2)?

Answers

the answer is undoubtedly 6,4

Laura completed the following steps to find a product.

Multiply: Three-sevenths times 8

Step 1: 8 times three-sevenths

Step 2: StartFraction (8 plus 3) over 7 EndFraction

Step 3: Eleven-sevenths

Step 4: 1 and four-sevenths

In which step did Laura make her first mistake?

Step 1
Step 2
Step 3
Step 4

Answers

The solution to the product of 8 and three-seventh is 2 2/7. According to Laura, she made mistake in step 2 by adding 8 and 3 instead of multiplying

Multiplication of fractions and integers

Fractions are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.

Given the following equation

Multiply 3/7 and 8

This is expressed mathematically as;

3/7 * 8

Step 1: Swap to have;

8 * 3/7

Step 2: Group the numerator

(8*2)/7

Step 3; Simplify

16/7

Step 4; Convert to mixed fraction

16/7= 2 2/7

The solution to the product of 8 and three-seventh is 2 2/7. According to Laura, she made mistake in step 2 by adding 8 and 3 instead of multiplying

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PLEASE ANSWER!!
A soccer team won only 10 of their first 30 games. How many of their remaining 20 games will they have to win to have a .500 record??

Answers

Answer: 5 games

Step-by-step explanation: They need to win half their games for a .500 record and half or 30 is 15. They already won 10 so they need to win 15- 10 = 5 more games to have a .500 record.

What is the general form of the equation for the given circle centered at o(0, 0)? a. x2 y2 41 = 0 b. x2 y2 − 41 = 0 c. x2 y2 x y − 41 = 0 d. x2 y2 x − y − 41 = 0

Answers

The general form of the equation for the given circle centered at o(0, 0) is x² + y² - 41 = 0.

According to the question,

The general form of the equation for the given circle centered at o(0, 0) is (x-h)² + (y-k)² = r².

The given equation is x² + y² - 41 = 0 which is also represented by

(x-0)² + (y-0)² = -(√41)². This is not possible.

The given equation is x² + y² - 41 = 0 which is also represented by (x-0)² + (y-0)² = (√41)²This means that the circle is centered at (0,0). Thus, the equation is correct The given equation is x² + y² +x+ y- 41 = 0 which is also represented by (x+1/2)² + (y+1/2)² = (√(83/2))²This means that the circle is centered at (-1/2,-1/2). Thus, this equation is incorrect. The given equation is x² + y² +x- y- 41 = 0 which is also represented by (x+1/2)² + (y-1/2)² = (√(83/2))²This means that the circle is centered at (1/2,-1/2). Thus, this equation is incorrect.

Hence, the general form of the equation for the given circle centered at o(0, 0) is x² + y² - 41 = 0.

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What is the twentieth term in the sequence 23, 43, 63, 83 …?

Answers

Answer:

403 (hope this helps)

Step-by-step explanation:

Si y es la temperatura y x hora ¿A que horade registro la menor temperatura

Answers

Answer:

Step-by-step explanation:

A 0 horas, la temperature era 9.

If y = -9 when x = 3, find y when x = -6. when x = -5.

Answers

Answer:

When x is -6, y will be 18

When x is -5 y will be 15

Step-by-step explanation:

Create a proportion

y/x

-9/3 = x/-6 What do we need to multiply 3 by to get 6? -2, so we will multiply -9 by -2 to get 18

Some people like to solve by cross multiplying.

That would give us

(-9)(-6) = 3x

54 = 3x divide both sides by 3

18 = x

Set up the second problem as a proportion

-9/3 = x/-5 This is a little trickier. I am trying to think what I have to multiply 3 by to get -5. 3(-5/3) will give me -5, so I will multiply the top number that I know (-9) by (-5/3) to find my x.

(-9)(-5/3) = 45/3 or 15

What is the quotient of the given values to the correct level of precision? 16.017 in. ÷ 0.370 in. 43 43.289 43.29 43.3

Answers

Answer:43.289

Step-by-step explana

i need help i cant find the answer to this question

The Bobcats football coach logged the following yardage gains and losses over four plays of a game.

Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?

Enter your answer as an expression, like this: 42x+53y

Answers

Answer:

Lose 12y yards.

Lose 5.2x yards.

What is the net yardage for these four plays?

is the que correct

Answer:

19.8x - 11.1y

Step-by-step explanation:

Given information:

Gain 25x yardsGain 0.9y yardsLose 12y yardsLose 5.2x yards

"Gain" means to add the value.

"Lose" means to subtract the value.

Therefore, net yardage is:

⇒ 25x + 0.9y - 12y - 5.2x

Collect like terms:

⇒ 25x - 5.2x + 0.9y - 12y

Factor out the common variables x and y:

⇒ x(25 - 5.2) + y(0.9 - 12)

Carry out the operations in the parentheses:

⇒ x(19.8) + y(-11.1)

Therefore, the net yardage is 19.8x - 11.1y

Urgent Help please: My neighbor just got two new cats and now she has more than 5 cats. How many cats did she have before?

Answers

Answer:

Wouldn't she have had 5 cats before? Adding 2 other cats would make it 7, which fits the "more than 5 cats" requirement.

She would have had 5 cats originally

Write the algebraic expression that represents the following: Forty more than a number

Answers

Answer:

x+40

Step-by-step explanation:

Let's say the the "number" is x.

"Forty more than a number" would be x+40

[tex]\Large\texttt{Answer}[/tex]

[tex]\bold{40+n}[/tex]

[tex]\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}[/tex]

[tex]\Large\texttt{Process}[/tex]

⇨ Letting n be the number

[tex]\bold n[/tex]

⇨ Add 40 to n (40 more)

[tex]\bold{40+n}[/tex] (or n+40; you can swap these numbers, they'll still add up to the same amount)

Hope that helped

Use the elimination method to solve each linear system.

1) 2x-9y=-55 and x+2y=18

2) 3x+2y=7 and 6x-6y=-6

3) 6x+10y=2 and 7x+4y=-13

4) 3x+2y=5 and x-2y=-1

Abby mixes cinnamon and nutmeg to make 25g of a spice mix. Cinnamon costs 9 cents per gram, and nutmeg costs 12.5 cent per gram. The spice mix costs 9.7 cents per gram. How much of each spice does Abby need to use?

Answers

Answer:

1) x=4, y=7

2) x=1, y=2

3) x=-3, y=2

4) x=1, y=1

word problem) 5g of nutmeg and 20g of cinnamon

Step-by-step explanation:

2x-9y=-55

2(x+2y) = 2x+4y = 36

(2x+4y)-(2x-9y)=36-(-55)

13y = 91

y = 7 so x = 4

2(3x+2y) = 6x+4y = 14

6x-6y=-6

(6x+4y)-(6x-6y) = 14-(-6)

10y = 20

y = 2 so x = 1

2(6x+10y) = 12x+20y = 4

5(7x+4y) = 35x+20y = -65

(35x+20y) - (12x+20y) = -65-4

23x = -69

x = -3 so y = 2

just add them

(3x+2y)+(x-2y) = 5+(-1)

4x = 4

x = 1 so y= 1

last)

c+n = 25

9c + 12.5n = 25*9.7 = 242.5

9(c+n) = 9*25

9c+9n=225

9c+12.5n - 9c-9n = 242.5-225

3.5n = 17.5

n = 5 so c = 20

5g of nutmeg and 20g of cinnamon

How many solutions does the equation 4y − 4y − 12 = 14 − 2 have? one zero two many

Answers

Answer:Many

Step-by-step explanation:

As the unknown cancels itself out, it could be absolutely any number. So there are many solutions.

Which graph shows the solution to this system of inequalities y < - 1/3 x + 1

Answers

Answer:

See attached image.

Step-by-step explanation:

The image does not show the graph options. The attachment sjhhows the graph of y < - 1/3 x + 1.

Among Davids classmates, there are twice as many boys as girls. Which of the following numbers may represent the number of all the children in his class?

Answers

The number that could represent the number of students in class is = X + 2x

Calculation and f the total number of students

Let us take the number of boys to be = X

Then the number of girls is twice that of the boys. That is, y = 2x

Therefore the total number of students in the class z = X + 2x

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Ashley spent 3x + 2hours on her science project and Adam spent 4x - 6 hours on his science project. If they spent a total of 31 hours on their projects, find the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

Ashley and Adam spent a total of 31 hours on their projects so: 3x+2+4x-6 = 31

3x+2+4x-6 = 31

7x-4 = 31

7x = 35

x = 5

_______ 14. What is the value of x?
A. 11°
B. 22°
C. 32°
D. 43°
E. 86°

Answers

Answer: Choice D

Reason:

Add up the arc measures, then divide by 2

x = (32 + 54)/2

x = 86/2

x= 43 degrees

i need help with this ;n;

Answers

You’re out of luck oh noooo

Phillippe wants to drink at least 72 ounces of water every day while at work. He works 6 hours a day. How many ounces of water must Phillippe drink each hour? Write and solve an inequality to answer the question.

Answers

Answer:

the answer to this question is 12

Step-by-step explanation:

72÷6=12

What transformation of the parent function f(x) is made to get 4f(x+2)?
A. a vertical stretch by 4 and 2 units in the x-direction
B. a vertical stretch by 4 and horizontal shrink by 1/2
C. a vertical stretch by 4 and -2 units in the x-direction
D. a vertical stretch by 4 and horizontal shrink by 2

Answers

The correct transformation of f(x) to get 4f(x+2) is by a vertical shift by 4 and 2 units in the x direction.

Given a function f(x) and other function 4f(x+2).

We are required to choose a transformation that will give 4f(x+2) from a function f(x).

Function is like a relationship between two or more variables that are expressed in equal to form. The values which we enter in a function is known as domain and the value that we get as a result are known as range.

So, we have to reach 4f(x+2) from f(x).

The value of function is usually expressed on y axis and variable x on x axis.

To increase the value of x by 2 we have to stretch it in x direction.To find the 4 times value of function we have to stretch the y axis to 4 units.

Hence the correct transformation of f(x) to get 4f(x+2) is by a vertical shift by 4 and 2 units in the x direction.

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Find the limit, if it exists, or show that the limit does not exist. lim(,)→(0,0) 2 2 4

Answers

The limit does not exist.

What is a limit?A limit in mathematics is the value that a function approaches when its input approaches some value. Limits are used to define continuity, derivatives, and integrals in calculus and mathematical analysis.

In order for such a limit to occur, the fraction [tex]\frac{x^{2} }{x^{2} +y^{2} }[/tex] must be comparable to the same value [tex]L[/tex], regardless of the way we take to get there [tex](0,0)[/tex].

Try approaching [tex](0,0)[/tex] along the x-axis.

This means setting [tex]y=0[/tex] and finding the limit [tex]lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }[/tex].

We obtain:

[tex]lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1[/tex]

Now evaluate approaching [tex](0,0)[/tex] along the y-axis.

This means setting [tex]x=0[/tex] and finding the limit [tex]lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }[/tex].

[tex]lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0[/tex]

Approaching the origin via these two methods results in distinct limits.

[tex]lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }[/tex] ≠ [tex]lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }[/tex]

Therefore the limit does not exist.

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The correct question is given below:

Find the limit, if it exists, or show that the limit does not exist.

[tex]lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }[/tex]

Which monomial is a perfect cube

Answers

Answer:

A perfect cube monomial must have three identical root , such that the product of the roots equal the perfect square monomial . The coefficient of the monomial must be divisible by 3 . Any monomial can be a perfect cube root .

Step-by-step explanation:

1.)1000=10 cube

2.) 729=9 cube

3.) 512=8 cube

4.) 343=7 cube

5.) 216=6 cube

6.) 125=5 cube

7.) 64=4 cube

8.) 27=3 cube

9.) 8=2cube

10.) 1=1 cube

Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the 6 months before the exercise program began and in the 6 months following the exercise program. Following are the results.
Employee Before After
1 7 7
2 7 1
3 2 6
4 5 4
5 7 3
6 6 3
7 4 1
8 1 4
At the .05 significance level, can he conclude that the number of absences has declined? Estimate the p-value.
a. State the decision rule for 0.1 significance level: H0 : Î¼d â‰¤ 0; H1 : Î¼d > 0. b. Compute the value of the test statistic.
c. Estimate the p-value? d. What is your decision regarding H0?

Answers

The hypothesis is given as

H0: μd< 0

H1: μd > 0

How to solve for the hypothesis.

The null hypothesis is given as

H0: μd< 0

The alternative hypothesis is given as

H1: μd > 0

SWe have to find the value of s

we would use this formula s = sqrt [ (Σ(di - d)^2 / (n - 1) ]

This gives us 3.454

Next we have to determine the standard error

s / √(n)

3.454/2.8284

= 1.22

Degree of freedom = 8 - 1

= 7

t = (x1 - x2) - D / S.E

= 1.025

Find t critical at 0.10

= 1.895

P-value = 0.1697

d. Given that p value is greater thatn 0.1 we fail to reject the null hypothesis.

Answers

The number of cats is an illustration of inequalities and your neighbor has 4 cats before she bought the 2 new cats

What are inequalities?

Inequalities are expressions, numbers and mathematical statements that have unequal values when compared and/or evaluated

How to determine the number of cats?

We start by representing the initial number of cats with x.

From the question, the new cats she bought are

New = 2

So, we have

x + New greater than 5

Rewrite properly as

x + New > 5

Substitute known values in the above inequality

x + 2 > 5

Subtract 2 from both sides

x + 2 - 2 > 5 - 2

Evaluate the right-hand side

x + 2 - 2 > 3

Evaluate the left-hand side

x > 3

The smallest integer number greater than 3 is 4

Hence, your neighbor has 4 cats before she bought the 2 new cats

Answers

Answer:

Step-by-step explanation:

Nancy Pelosi's Husband Found Drugs in His System after D.U.I. Arrest: Kill His Elder Brother : Other "past Skeletons in Closet" Exposed.

Paul Pelosi, the husband of US House Speaker Nancy Pelosi, was found to have drugs in his system during his drink-driving arrest in May, Fox News reported on Tuesday, citing a court document.

Paul Pelosi was slurring and unsteady on his feet as he spoke to police officers and tried to show them a membership card for a foundation that has long provided money to local police officers and their children.

According to Fox News, the Napa County District Attorney's Office in California said on Monday that Paul Pelosi, the husband of House Speaker Nancy Pelosi, will be arraigned on Wednesday morning. The charges are driving under the influence and causing injury while driving with a blood-alcohol level of 0.08 percent or higher.

Answer:

Step-by-step explanation:

Nancy Pelosi's Husband Found Drugs in His System after D.U.I. Arrest: Kill His Elder Brother : Other "past Skeletons in Closet" Exposed.

Paul Pelosi, the husband of US House Speaker Nancy Pelosi, was found to have drugs in his system during his drink-driving arrest in May, Fox News reported on Tuesday, citing a court document.

The district attorney said the misdemeanor charges against Paul Pelosi were filed "based on the extent of the injuries sustained by the victims."

Us media said that either Paul Pelosi or his lawyer would enter a plea at his arraignment on Wednesday. According to the Napa County District Attorney's Office, misdemeanor penalties for driving while intoxicated and causing injury include up to five years of probation, a minimum of five days in jail, a fine, completion of a court-ordered DUI course, and more.

After her husband s car accident, the US media reported that her brother was killed in a car collision when she was still a teenager. In 1957, Paul reportedly crashed his car near SAN Mateo County at 16. Paul suffered a broken collarbone in the crash, while his elder brother was pronounced dead on arrival at the hospital. Paul, then 16, was acquitted by a jury.

His past skeletons in closet don't stop there. Public data shows that Nancy Pelosi has more than $114 million net worth. Reports indicate that much of that comes from Mr. Paul's holdings of stocks, options, and investments.

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