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?

The Motion Of An Object Was Recorded By Measuring The Velocity Of The Object In Meters Per Second At

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

Joseph decided to solve the quadratic x² +8x=9. Which of the
following steps is where Joseph made his first mistake?
x² +8x=9
Step 1
Step 2
Step 3
0000
x+8x-9=0
(x+9)(x - 1) = 0
x= 9 and x = -1
Step 1
Step 2
Step 3
Joseph did not make any mistakes.

Answers

Answer:

he didn't mistake step 2

x(x-5) (x+5) - (x+2) (x^2 - 2x +4) = 17

Answers

Mm the answer I’m guessing is 17
Answer

x[x²-25] - [x³+8] = 17

x³- 25x - x³- 8 = 17

-25x = 17 + 8

-25x = 25

x = -1

Graph h(x)= -4(x-3)(x-1)

Answers

Answer:

roots (1,0) (3,) the vertical intercept is (0,-12)

Step-by-step explanation:

You are playing a game with three cards. At the start, all three cards are face down. You know that a different real number is written on every card, but you do not know what the numbers are. The rules of the game are as follows: You can choose any card and turn it over (assuming that you have not already turned it over). You can either keep the card, or discard it. If you discard a card, then you cannot go back to it; you must choose a new card. If the card you have kept has the largest real number on it, then you win the game. If you use the optimal strategy, then what is the probability that you win the game

Answers

concluding, the idea is discarding cards until we get,at least, a 6, in that case, the smallest probability of winning the game is 0.59, which is more than in half of the cases.

How to find the probability?

Now, we know that there are 52 cards in a normal deck, if we only keep the ones with real numbers, there are 40.

These numbers go from 1 to 10.

5.5 is the average real number in the cards, so, having a 6 or more in a card is what we expect.

This means that if the card that we turn up is smaller than 6, we discard it.

If the card has the value 6 or larger, we keep it.

In this case, the probability of losing is if one of the other cards has a value larger than 6.

The probability that a random card has a value larger than 6 is:

p = (number of cards with a value larger than 6)/(total number of cards)

p = (16/39)

(The quotient is 39 instead of 40, because we already know one of the cards)

This means that if keep the 6, the probability of winning is:

1 - 16/39 = 0.59

If instead, we got a 7, obviously we keep it, in that case the probability of winning is:

1 - 12/39 = 0.69

And so on, concluding, the idea is discarding cards until we get,at least, a 6, in that case, the smallest probability of winning the game is 0.59, which is more than in half of the cases.

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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 equation of this graph?

Answers

The equation of the parabola given in the graph is:

(x - 5)² = -8(y + 4).

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

a(y - k) = (x - h)²

In which a = 4p is the leading coefficient.

In this problem, the vertex is at point (5,-4), hence h = 5, k = -4, and the equation is:

a(y + 4) = (x - 5)²

The focus is at y = -6, which means that p = -6 - (-4) = -2, hence the leading coefficient is:

a = 4p = 4(-2) = -8

Hence the equation is:

(x - 5)² = -8(y + 4).

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Variables y and x have a proportional relationship wher y=18 when x=2 what is the value of x when y=36

Answers

Answer:

4

Step-by-step explanation:

18 + 18 = 36

So you got 36 cuz you times by two so you times the same for x

which is

2 x 2 = 4

Answer:

4

Step-by-step explanation:

We can set up a proportion.

18:2 = 36: x

If we multiply 18 by 2, and multiply 2 by 2, we can get 18:2 = 36:4, so x is equal to 4

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,320 ft Determine the flag's width and length if the length is 400 ft
greater than the width.
The flag's width is
_? ft. Its length is
_? ft.

Answers

Answer: 380 ft and 780 ft

Step-by-step explanation:

We can assume that the flag is a rectangle. If the width of the flag is w, then the length is w + 400.

The formula for the perimeter of a rectangle is [tex]2(l+w)[/tex]. Let's plug in the values we know.

[tex]P=2(l+w)\\2320=2(w+400+w)\\1160=2w+400\\760=2w\\w=380[/tex]

We know that the length is 400 more than the width, so let's find the length.

[tex]l=w+400\\l=380+400=780[/tex]

Hence, the flag's width is 380 ft and the length is 780 ft.

Which digit is in the hundredths place?

18.36

8
3
1
6

Answers

Answer:

6.becuase after the decimal or "." it goes 00.tenth, hundredth, thousandth, and so on

Step-by-step explanation:

PLEASE GIVE BRAINLIEST OR 5 ⭐

The answer is 8

Explanation:

Im big brain

How many positive integers less than 1000 a) are divisible by 7? b) are divisible by 7 but not by 11?

Answers

Answer:

  130

Step-by-step explanation:

The number of integers meeting the criteria can be found by counting them using a counting formula.

Divisible by 7

Integers divisible by 7 will have the form (7n), where n is some positive integer. The number of them less than 1000 can be found from ...

  7n ≤ 1000

  n ≤ 142.857

There are 142 integers less than 1000 that are divisible by 7.

Divisible by 7 and 11

Similarly, integers divisible by 7 and 11 will be of the form (77n), for some positive integer n.

  77n ≤ 1000

  n ≤ 12.987

There are 12 integers less than 1000 that are divisible by both 11 and 7.

Divisible by 7, not 11

The number of integers less than 1000 that are divisible by 7, but not 11, will be the difference of these numbers.

  142 -12 = 130 integers divisible by 7, but not 11.

Find the equation of the linear function represented by the table below in slope-intercept form.
x 0 1 2 3 4
y 7 15 23 31 39

Answers

Answer:

y = 8x+7

Step-by-step explanation:

firstly reduce the equation to an arithmetic series starting from the 0th term so:
7, 15, 23, 31, 39....

Secondly, identify the common difference: 8
we now know that the answer must contain 8x

Thirdly, form the equation 8x + c = y where y is a constant. Afterwards insert the values of any given x and y so:
8*0 + c = 7
c = 7
Thusly we now know that the series and thus equation is 8x+7 = y

Answer:

y = 8x + 7

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (1,15) and (x₂, y₂ ) = (2, 23) ← 2 ordered pairs from the table

m = [tex]\frac{23-15}{2-1}[/tex] = [tex]\frac{8}{1}[/tex] = 8

the ordered pair (0, 7 ) indicates c = 7

y = 8x + 7 ← equation of linear function

Determine the number of terms, n, given the geometric series 1 3 9 27 ... and sn=3280.

Answers

The number of terms, 'n' is 8

How to determine the number of terms

Let's determine the common ratio;

common ratio, r = 3/1 = 3

The formula for sum of geometric series with 'r' greater than 1 is given as;  Sn = a( r^n - 1) / (r - 1)

n is unknown

Sn = 3280

Substitute the value

3280 = 1 ( 3^n - 1) / 3- 1

3280 = 3^n -1 /2

Cross multiply

3280 × 2 = 3^n - 1

6560 + 1 = 3^n

6561 = 3^n

This could be represented as;

3^8 = 3^n

like coefficient cancels out

n = 8

Thus, the number of terms, 'n' is 8

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find the solution of systems of equations
8x-5y=-8 -7x-5y=82

Answers

Answer:

x = -6, y = -8

Step-by-step explanation:

8x - 5y = -8

-7x - 5y = 82

minus them

15x = -90

x = -90 / 15

x = -6

8(-6) - 5y = -8

-48 - 5y = -8

-5y = -8 + 48

-5y = 40

5y = -40

y = -40 / 5

y = -8

The chart below shows conversion between kilometers and miles.

Conversion Chart
Kilometer
Miles
2
1.2
7
4.2
20
?
30
18

What is the missing value in the table?

Answers

The missing value in the table is 12.4

Conversion between Units

From the question, we are to determine the missing value in the table

From the given information,

The chart shows conversion between kilometers and miles

The given table is

Kilometers           Miles

2                            1.2

7                            4.2

20                          ?

30                          18

NOTE: 1 kilometer ≈ 0.62 miles

Then, 20 kilometer ≈ 20×0.62 miles

20 kilometer ≈ 12.4 miles

Hence, the missing value in the table is 12.4

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6;15; x; 45;....... is a quadratic number pattern (sequence). Determine the value of x. ​

Answers

Solving a system of equations, we conclude that the value of x is 28.

How to determine the value of x?

Here we have the quadratic number pattern:

6, 15, x, 45, ...

First, we have that:

15 - 6 = 9

So 9 is the first difference.

Then we will have:

x = 15 + 9 + a

(where a is the second difference, constant of the sequence).

And:

45 = x + 9 + a + a

Then we have a system of equations:

x = 15 + 9 + a

45 = x + 9 + a + a

We can isolate a on the first equation:

a = x - 24

We can replace that in the other equation:

45 = x + 9 + 2a

45 = x + 9 + 2*(x - 24)

Now we can solve that for x:

45 - 9 = x + 2*(x - 24)

36 = 3x - 48

36 + 48 = 3x

84 = 3x

84/3 = x = 28

The value of x is 28.

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Two children share 1/6 of a cake .what fraction does each get? answer in statement.

Answers

Fraction of cake each children's  get 1/12.

What is Fraction?

fraction: In mathematics, a number that is stated as a quotient in which the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.

According to the information:

Cake  available for Sharing = 1/6

The cake future divide into 1/2:

so,

= (1/6) x (1/2)

= 1/12

fraction of cake each children's  get 1/12.

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Use a calculator to find tan 24°, round to the nearest hundredth.

Answers

Hi :)

To find the tan of a number, just type the number into your calculator and press [tex]\boxed{\tan}[/tex].

[tex]\tan 24=0.45[/tex], Rounded to the nearest hundredth, or 2 numbers after the decimal point, just like you asked

[tex]\textit{\textbf{Learn\;More;Work\;Harder}}[/tex]

:)

If a girl lifts a load of 60N to a height of 3m, find work. ​

Answers

Let the mass of the object exists at 60 N and the height exists at 3m then work

exists in 1764.

What is work?

The work done by a force exists determined to be the product of a component of the force in the direction of the displacement and the magnitude of this displacement.

Work can be estimated by multiplying Force and Distance in the direction of force as follows.

W = F × d. Unit.

Given data:

m = mass of the object = 60 N

h = height = 3 m

Work = Fh = mgh

g = gravity = 9.8 m/s²

work = Fh = mgh

[tex]= 60*3*9.8[/tex]

= 1764

Therefore, the work exists in 1764.

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Find the surface area of the cone to the nearest square unit. Use π = 3.14.
6 cm
3 cm

Answers

The surface area of the cone exists as πr² + πrl

= (3.14)(6)² + (3.14)(6)(3)

= 169.56 cm²

Therefore, the surface area of the cone exists at 169.56 cm².

How to find the surface area of the cone?

The surface of the cone consists of the lateral surface and the base area. So,

1. the lateral surface exists equal to πrs, where r exists the radius of the base and s exists the slant height of the cone.

2. the base area exists πr² (since the base exists a circle with radius r).

Then the surface area exists SA = πrs + πr²

The surface area of the cone exists as πr² + πrl

where "r" exists the radius, "l" exists the slant height

The radius of the cone exists at 6 cm

The slant height of the cone exists at 3 cm

To find the surface area of a cone

The surface area of a cone = πr² + πrl

= (3.14)(6)² + (3.14)(6)(3)

= 169.56 cm²

Therefore, the surface area of the cone exists at 169.56 cm².

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The critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is:_____.

Answers

The critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96

For given question,

We need to find the critical values for a 2-tailed sign test for 13-coin flips.

We have been given an alpha level of 0.05 that is 5%

⇒ α = 0.05

We know that in hypothesis testing, a critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.

These are the points on the distribution which have the same probability as your test statistic, equal to the significance level α.

The critical values are assumed to be at least as extreme at those critical values.

Now we find 1 - α

⇒ 1 - α = 1 - 0.05

⇒ 1 - α = 0.95

Because it is a two-tailed test, we are going to divide 0.95 by 2.

⇒ 0.95/2 = 0.475

Now we look in the z-table to find out cutoff points.

For the area of 0.475, the critical values is ± 1.96 .

Therefore, the critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96

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Find the length of the line joining the points A(-2,10) and B(-8,2)

Answers

Length of the line

= [tex]\sqrt{((-2)-(-8))^{2}+(10-2)^{2} }[/tex]

= [tex]\sqrt{36+64}[/tex]

=[tex]\sqrt{100}[/tex]

= 10

14²-34 divided by -9+7.2

Answers

Answer:

Let's go part by part:

14 raised to 2 = 196

-9+7x2=-9+14 = 5

196/5= 39,2 (final result)

Answer:

-3.2

Step-by-step explanation:

14 SQUARED is 196

196 - 34 = 5.7647

- 9 + 7.2 = - 1.8

5.7647 / -1.8 = -3.2

-3.2 would be your answer.

Which word describes their measures? linear congruent complementary supplementary

Answers

I would say congruent

Can someone help pls :)

Answers

Answer:

no

Step-by-step explanation:

Find the area of the shaded region

Answers

∆BOC is equilateral, since both OC and OB are radii of the circle with length 4 cm. Then the angle subtended by the minor arc BC has measure 60°. (Note that OA is also a radius.) AB is a diameter of the circle, so the arc AB subtends an angle measuring 180°. This means the minor arc AC measures 120°.

Since ∆BOC is equilateral, its area is √3/4 (4 cm)² = 4√3 cm². The area of the sector containing ∆BOC is 60/360 = 1/6 the total area of the circle, or π/6 (4 cm)² = 8π/3 cm². Then the area of the shaded segment adjacent to ∆BOC is (8π/3 - 4√3) cm².

∆AOC is isosceles, with vertex angle measuring 120°, so the other two angles measure (180° - 120°)/2 = 30°. Using trigonometry, we find

[tex]\sin(30^\circ) = \dfrac{h}{4\,\rm cm} \implies h= 2\,\rm cm[/tex]

where [tex]h[/tex] is the length of the altitude originating from vertex O, and so

[tex]\left(\dfrac b2\right)^2 + h^2 = (4\,\mathrm{cm})^2 \implies b = 4\sqrt3 \,\rm cm[/tex]

where [tex]b[/tex] is the length of the base AC. Hence the area of ∆AOC is 1/2 (2 cm) (4√3 cm) = 4√3 cm². The area of the sector containing ∆AOC is 120/360 = 1/3 of the total area of the circle, or π/3 (4 cm)² = 16π/3 cm². Then the area of the other shaded segment is (16π/3 - 4√3) cm².

So, the total area of the shaded region is

(8π/3 - 4√3) + (16π/3 - 4√3) = (8π - 8√3) cm²

A sports teacher divided a class into two groups. Three-fifth of the first group and 80% of the second group play soccer.
What fraction of the class plays soccer?

Answers


Oh, woah-oh, oh, oh
Oh-oh-oh-oh-oh-oh
I'll get him hot, show him what I've
soccer teacher

A little gamblin' is fun when you're with me (I love it, woo)
Russian roulette is not the same without a gun
And baby, when it's love, if it's not rough, it isn't fun, fun

Answer:

7/5

Step-by-step explanation:

80/100 = 0.8 = 8/10 = 4/5 (to the simplest fraction).

(three-fifth) 3/5 + 4/5 = 7/5

7/5 of the class plays soccer ✅

Hope this helpsGood luck ✅

if a car is moving at 52mph, how fast is the car moving in m/s?​

Answers

**Disclaimer** Hi there! I assumed the unit [ mph ] represents miles per hour and [ m/s ] represents meters per second. The following answer will be according to this understanding. If I am wrong, please let me know and I will modify my answer.

Answer: [tex]\Large\boxed{23~m/s}[/tex]

Step-by-step explanation:

Given information

Speed = 52 mph

Given conversion factors

1 mile ≈ 1609 meters

1 hour = 3600 seconds

Convert the unit from mph to m/s using conversion factors

The basic idea is that you utilize the factors and cancel out unnecessary units

[tex]\dfrac{52~miles}{1~hour} \times\dfrac{1~hour}{3600~seconds} \times\dfrac{1609~meters}{1~miles}[/tex]

Simplify by multiplication

[tex]=\dfrac{52~miles}{3600~Seconds} \times\dfrac{1609~meters}{1~miles}[/tex]

[tex]=\dfrac{52\times 1609~meters}{3600~Seconds}[/tex]

Simplify the fraction

[tex]=\dfrac{83668~meters}{3600~Seconds}[/tex]

[tex]\Large\boxed{\approx23~m/s}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

If f(5) = 12, f ' is continuous, and 7 f '(x) dx 5 = 16, what is the value of f(7)? f(7) =

Answers

The value of function f(x) at x = 7 is f(7) = 28

For given question,

we have been given the value of function f(x) at x = 5.

f(5) = 12

We have been given that f'(x) is continuous on 5 and 7

Also, [tex]\int\limits^7_5 {f(x)} \, dx =16[/tex]

We need to find the value of f(7)

Since ∀x, f'(x) = f'(x), f is a primitive function of f' .

And f ' is continuous

[tex]\Rightarrow \int\limits^7_5 {f(x)} \, dx =16\\\\\Rightarrow [f(x)]_5^7=16[/tex]

⇒  [f(7) - f(5)] = 16

⇒ f(7) - 12 = 16

⇒ f(7) = 16 + 12

⇒ f(7) = 28

Therefore, the value of function f(x) at x = 7 is f(7) = 28

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how do you solve these two questions and what are the answers?

Answers

Answer:

a) -6/2

b) -9/2

Step-by-step explanation:

a) rearrange by making y the subject as y = mx+c

y = -6/2x-9/2

the gradient = -6/2

b) c is the y-intercept as it touch the y-axis, therefore -9/2 is where the line crosses the y-axis

d. (x + y, 3x-2y) = (7,11)​

Answers

Answer:

x = 5, y =2

Step-by-step explanation:

I guess the question is saying x+y = 7 and 3x-2y = 11?

then there are multiple ways but

I will multiply the first one by 2 so 2x+2y = 14

you add the equations to get 5x = 25 so x = 5 plug x into the first equation you get y = 2

if that isn't what the question means just comment and I'll change it

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what famous renaissance structure did leonardo study and help put a lantern on top of hey can anyone give me the answers to the questions that are blank Hydrochloric Acid would best be described as a:Group of answer choicesA. Arrhenius, Brnsted-Lowrey and Lewis BaseB. Arrhenius, Brnsted-Lowrey and Lewis AcidC. Brnsted-Lowrey and Lewis AcidD. Arrhenius and Lewis Acid After repeated joint sprains or microtraumas, a chronic inflammatory condition may occur that is referred to as: G.CO.5 ABC undergoes a series of transformations to create A'B'C'. Which of the following series of transformations will carry ABC onto A'B'C'? If 30. 0 ml of 0. 150 m CaCl2 is added to 15. 0 ml of 0. 100 m AgNo3, what is the mass in grams of AgCl precipitate? The degrees of freedom for a chi-square test applied to a cross-tabulation with 5 rows and 2 columns is equal to: write a story that ends with birds of a feather flock together Neural control of gfr is mediated by ________ that innervate ________ receptors on vascular smooth muscle causing ________ (GIVING BRAINLYST)Which expression represents the following statement? Multiply 7 by the sum of 6 and 3, and then subtract the quotient of 4 and 2. 07x (6+3)-4+2 07+6 (3+4) x 2 - 07+6+3 (4+2) 7x (6+3)+4-2 Major fires occurred in the ______ in 1871 because of persistent high-pressure zones that prevented moisture-laden winds from the Gulf of Mexico reaching the area. When an employee leaves the organization, whether by firing, retiring, or resigning, the process is known as:_______ Policies that support greater equality, often by granting racial or gender preferences in hiring, education, or contracting, are known as? if you rolled two dice what is the probability that you would roll a 4 or a 5 A mixture of 0.600 mol of bromine and 1.600 mol of iodine is placed into a rigid 1.000-L container at 350C.Br2(g) + I2(g) 2IBr(g)When the mixture has come to equilibrium, the concentration of iodine monobromide is1.190 M. What is the equilibrium constant for this reaction at 350C? Show step-by step explanation.A) 3.55 10^3 B) 1.24C) 1.47D) 282E) 325 A painting by jacques-louis david. roman orator horace receives allegiance from his three sons to protect rome. what is the title of the piece above? a. oath of horatii b. oath of horatio c. oath of horus d. oath of homer If you are choosing a single card from a standard deck of playing cards, what isthe probability that you draw a face card or a heart?Your answer should be in the form of a fraction. Type it like this: 15/52.Just to review: There are 52 cards in a deck. There are 4 suits with 13 cards each.o 2 red suits - hearts and diamondso 2 black suites - clubs (look like clovers) and spades Each suit has an Ace, numbered cards 2-10, and 3 "face" cards--a Jack, Queen, and King. A transformer with X turns in primary coil and Y turns in secondary coil is used to change the magnitude of voltage to 240 V. Calculate the input voltage and name the type of transformer if Y= 2 X. If f(x)=x^3 and (fog)(x)=x, then g(64) = Calculate the number of molecules in 1500 mL of a gas measured under a pressure of 800.0torr at 19.0C