Two objects are moving along separate linear paths where each path is described by position, d, and time, t. The variable d is measured in meters, and the variable t is measured in seconds. The equation describing the graph of the position of the first object with respect to time is d = 2. 5t 2. 2. The graph of the position of the second object is a parallel line passing through (t = 0, d = 1). What is the equation of the second graph? A. D = 2. 5t 1 B. D = t 2. 5 C. D = -0. 4t 1 D. D = 2. 5t 3. 2.

Answers

Answer 1

The equation of second graph is  [tex]d = 2.5 t + 1[/tex]

We have given the linear equation is

[tex]d = 2.5 t +2.2,[/tex]

If the graph of the position of the second object is parallel to

[tex]d = 2.5 t +2.2,[/tex]

What is the  form of linear equation?

The equation of slope intercept form is

[tex]d=mt+b[/tex]

compare the given equation with the slope intercept form

we get  m = 2.5

t = 0, d = 1

1 = 2.5 · 0 + b

b = 1

Therefore,the equation of second graph is  [tex]d = 2.5 t + 1[/tex]

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Related Questions

Question 15 of 20
In which situation would a writer most likely use informal language?
A. Writing an essay for a college entrance application
B. Writing a letter to a supervisor requesting a letter of
recommendation
C. Writing a letter of interest for a job application
D. Writing a letter to a friend who is stationed in the military overseas

Answers

a writer will use a for the informal language

A group of friends wants to go to the amusement park. They have $131.75 to spend on parking and admission. Parking is $18, and tickets cost $22.75 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer:

3 people

$9.5 left over

Step-by-step explanation:

pp = 18 + 22.75

pp = 40.75

total people who can go = 131.75/pp

tp = 131.75/pp

tp = 3 remainder $9.5

(this is if they all arrive in individual cars)

The number of people that can go to the amusement park are 5 .

Concept:

First, we need to find the amount left after deducting parking charges. Then the remaining amount can be divided by the price of one ticket to find out how many persons can buy the ticket from the same amount.

How to solve the given problem?The parking charges are $18 and the ticket costs $22.75 per person.So amount left after parking charges = $131.75 -$18 = $113.75To find the number of persons, let x be the no of tickets that can be purchased from the given amount.So the expression can be framed as 22.75x = 113.75.On solving the expression, we get x = 5 nos.

Thus, 5 number of persons can go to the amusement park.

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#SPJ2

Help with this pls pls plsss?

Answers

Answer:

The carpet will cost $52.

Step-by-step explanation:

hope this helps!!!

The figure shown below is a right prism with triangular bases. The sides of its bases are each 6 centimeters and the approximate height of one of the bases is 5.2 centimeters. The length of the prism between the bases is 9 centimeters.


What is the approximate surface area of this right triangular prism?
A. 128.5 cm
B. 162 cm
C. 193.2 cm
D. 196 cm

Answers

The approximate surface area of this right triangular prism is 193.2cm

Surface area of prism

The surface area of a triangular prism is expressed as:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

Perimeter of the base = 6 + 6 + 6

Perimeter of the base = 18cm

Length of the prism = 9cm

Base area = 1/2 * 5.2 * 6
Base area  = 15.6cm

Determine the surface area

Surface area = (18 * 9) + 2(15.6)

Surface area = 162 + 31.2

Surface area = 193.2 cm

Hence the approximate surface area of this right triangular prism is 193.2cm

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a rectangle has a length of 9 inches and an area of 48 inches. it’s width, w, is unknown. explain why the following equation cannot be solved to find the correct width of the rectangle? w+9=48

Answers

Answer:

This equation cannot be solved to find the correct width of the rectangle because the formula for the area of a rectangle is area = base times the height. Therefore, you can't just simply subtract 9 from 48 to get the width. Instead, you have to divide 48 by 9 to find the width, since 48 is the area and 9 is the length.

hope this helps :)

(x-1)(x+1)what is it equivalent to

Answers

Answer:

x^2-1

Step-by-step explanation:

(x-1)(x+1)

x^2-x+x-1

x^2-1

Complete the description of what happens to a figure when the given sequence of transformations is applied to it: (x,y) → (-x,y); (x,y) → (0.6x, 0.6y);(x, y) = (x - 5, y + 5)

Reflection over the (y-axis/x-axis/origin); (movement upwards/translation/transformation/dilation) with a scale factor of 0.6; translation 5 unit left and ____ units up.​

Answers

Answer:

Reflection over the y-axis; dilation with a scale factor of 0.6; translation 5 unit left and 5 units up.​

Step-by-step explanation:

The results of the given transformations are ...

(x,y) → (-x,y); reflection over the y-axis(x,y) → (0.6x, 0.6y); dilation by a factor of 0.6(x, y) → (x - 5, y + 5); translation left 5 and up 5

_____

Additional comment

Changing the sign of the x-coordinate moves a point horizontally to the other side of the y-axis, reflecting it over the y-axis.

Multiplying coordinate values by the same factor effects a dilation about the origin by that factor.

Adding to the x-coordinate moves the point to the right; adding to the y-coordinate moves the point up. (Subtracting from x moves the point left.)

Mr. Kelly knows that one side of his house is 20 feet long and it takes him six strides to walk the same distance. How long
is the other side of his house if it takes him 8.5 strides to walk it?

Answers

Question↷

Mr. Kelly knows that one side of his house is 20 feet long and it takes him six strides to walk the same distance. How long

is the other side of his house if it takes him 8.5 strides to walk it?

Answer↷

28.33 ft

Solution ↷

Distance that can be covered in 6 strides = 20 ftDistance that can be covered in 1 stride = 20/6ft = 3.33 ftDistance that can be covered in 8.5 strides = 3.33ft x 8.5 =28.33 ftHence , Mr Kelly's house other side measures 28.33 ft

Let that be x

Ratio remains same

[tex]\\ \rm\rightarrowtail \dfrac{6}{20}=\dfrac{8.5}{x}[/tex]

[tex]\\ \rm\rightarrowtail 6x=20(8.5)[/tex]

[tex]\\ \rm\rightarrowtail 6x=170[/tex]

[tex]\\ \rm\rightarrowtail x=170/6[/tex]

[tex]\\ \rm\rightarrowtail x=28.3ft[/tex]

Complete the
proportion
3 is to 4 as 75 is to...

Answers

Answer: 100

Step-by-step explanation:

[tex]\frac{3}{4} = \frac{75}{x}[/tex]

3 x 25 = 75

4 x 25 = 100

For a standard normal distribution,P(z < c) = 0. 3387Find c rounded to two decimal places

Answers

The value of c for a standard normal distribution, P(z < c) = 0. 3387 is -0.41.

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Given that P(z < c) = 0. 3387; hence:

From the normal distribution table, c = -0.41

The value of c for a standard normal distribution, P(z < c) = 0. 3387 is -0.41.

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The sum of the digits of a certain two-digit number is 12. When you reverse its digits youthe new number is twelve less than twice the original number. What is the number?

Answers

Answer:

54

Step-by-step explanation:

the diagram shows the dimensions of the pool cover for a hotel pool. find the area of the pool cover

Answers

Answer:

b, the area is 978 square inches.

Step-by-step explanation:

Just do it step by step, and one polygon at a time.

Which is an irrational number?

Answers

Answer:

An irrational number is a real number that cannot be expressed as a ratio of integers, for example, √ 2 is an irrational number. Again, the decimal expansion of an irrational number is neither terminating nor recurring.

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction: 1.5 is rational, but π is irrational.

√2, √3, √5, √11, √21, π(Pi) are all irrational.

Hope this helps please mark brainliest :)

Help me plsss I’m not smart

Answers

Answer:

It tastes the same!

Step-by-step explanation:

Hope you have a wonderful day!!

If it helped mark me as brainliest!

Solve. 3,864 ÷ 322

A. 11
B. 12
C. 13
D. 14

Answers

Answer: B. 12

Step-by-step explanation:

Get a calculator, or solve using long division. Boom ez

if you have trouble with division then ask your teacher for help or search on internet

3864 / 322 = 12

The answer to you’re question is B. 12.

Four friends went to the coast on vacation
and wanted to split the trip's costs evenly
between them. The house rental cost $400.
The cleaning fee was $75 and they ordered
pizza the first night for $25. How much
should each friend contribute?
A. $500
B. $125
C. $100
D. $75

Answers

Answer:

$125

Step-by-step explanation:

pls mark brainly, tyy

which expression is equivalent to the trigonometric expression

Answers

Answer:

A: [tex]csc(\theta)[/tex]

Step-by-step explanation:

Let's rewrite the expression in terms of sine and cosine, then simplify what can be simplified.:

[tex]sin(\theta) \cdot \frac{cos^2(\theta)}{sin^2(\theta)}\cdot \frac 1{cos^2(\theta)} =\\\frac1{sin(\theta)} = csc(\theta)[/tex]

A machine fills 150 bottles of water every 8 minutes. How many minutes does it take this machine to fill 675 bottles?

Answers

36 minutes

First find how many bottles can be filled in one minute. So divide 150 by 8.
The machine can fill 18 3/4 or 18.75 bottles in one min.
Now divide 675 by 18.75 = 36 mins to fill 675 bottles

PLS ANDWER I RELALY NEED HELP PLSLSLSPLSSPPSLSPL

Answers

Answer:

1st is -120-x

2nd is -x-12

It says, 

|x| = x, for any x >= 0 and

|x| = -x, for any x < 0 Now, instead of x, we have the expression x+120 inside the absolute value brackets:

|x+120|

Play the same game as above - what is the absolute value here?

|x+120| = x+120 for (x+120)>=0 and|x+120| = -(x+120) for (x+120)<0

Step-by-step explanation:

hope this helps. And please give me brainliest

how many feet are equal to 168 inches.​

Answers

14 feet. Since there are 12 inches in a foot. You need to divide 168 and 12. 168 divided by 12 is 14 feet.

Tara has two bags of M&M’s. The first bag contains 6 red, 5 blue, and 4 green M&M’s. The second bag contains 3 red, 2 blue, and 4 green M&M’s. Tara will select one M&M from each bag. What is the probability that Tara will select a blue M&M from each bag?

Answers

Answer:

29.6667%

Step-by-step explanation:

In first bag there is 15 M&M's ANd second bag has a total of 9 M&M's so that means there are a total of 24 M&M's.

In the first bag there is 5 blue M&M's and in the second bag there is a total of 2 blue M&M's so there is a total of 7 blue M&M's all together.

so there are 7/24 M&M's ( what were going to do it convert it into percents.

To do this were going to use these steps.

were going to divided the number of blue M&M's by the total of M&M's all together so 7 divided by 24=?And then next we are going to multiply the result by 100 which=?

Calculations

7 divided by 24=0.291666.

Ok so now what is 0.291666 x 100=?

0.291666 x 100=29.6667 and there is our final answer.

Hope it helps have awesome day:)

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

The first, third, andd sixth choice is correct.

Step-by-step explanation:

The y-intercept is when x = 0.

So if we plug x = 0 into the equation.

y = -4(0) + 98

y = 98

So the first choice is correct.

y = mx + b

y = -4x + 98

m = slope

b = y-intercept

So, the slope must mean it's decreasing.

So the third choice is correct.

Let try plugging in values for x.

y= -4(0) + 98 = 98

y= -4(1) + 98 = 94

y= -4(2) + 98 = 90

x stands for the number of days the students miss.

We see the bigger the value we put in for x, the lower the test score is aas represented by y.

So, the sixth choice is correct.

Based on the linear regression equation, the intercept means that for 0 missed classes, the expected test score is 98✓

we know that,

y intercept exist when x = 0

so,

⇢y = -4x +98

⇢y = -4 x 0 +98

⇢y = 98

so , the expected test score is 98

Based on the linear regression equation, the slope means that for every missed class, the expected tast score decreases by 4 points✓

when x = 0

y = -4(0) +98

when x = 1

y= -4(1) +98 = 94

when x = 2

y= -4(2) +98 = 90

we can see the decresement of 4 points

Based on the linear regression equation, as the number of days a student misses class increases the expected test score decreases ✓

We can see that the increament in absent days lead to lower scores ( one class = 4 points)

please solve the following, many thanks!!

Answers

Answer:

x = 10

Step-by-step explanation:

Since the pentagons are similar you can say...

4x cm/48 cm = x cm/(x+2) cm

Now do cross multiplication with this equation, so 4x is multiplied with (x+2) and 48 is multiplied with x... you end up with:

4x^2+8x = 48x, now subtraction 8x from 48 x....

4x^2 = 40x, and divide one x from each side

4x = 40, therefore x = 10

simplify this expression 4x^2 y^3 × 2x^3 y^4​

Answers

Answer:

8x⁵y⁷

Step-by-step explanation:

4x²y³ × 2x³y⁴ = 8x⁵y⁷

Pls:).......................

Answers

Answer: ECB and ABC

lmk if im wrong :)

Help Me Please Auto Brainliest whoever get the correct answer

Answers

Step-by-step explanation:

1) A corresponds to F (your screen shot is cut off, that option is not shown)

2) E) B corresponds to D

3) F) C corresponds to E

4) H) angle A corresponds to angle F

5) B) angle B corresponds to angle D

6) A) angle C corresponds to angle E

7) C) side AB corresponds to side FD

8) D) side BC corresponds to side DE

9) G) side AC corresponds to side FE

10) A.

of course they are similar. being congruent means that if you turn them to have the same orientation and then move them on top of each other, they cover each other up perfectly. so, in essence, they are even equal.

of course, being equal makes them also similar ...

11. D.

12. A.

Anita receives a pay increase of 4%. She was earning £7.50 per hour, now how much is she earning?

Answers

Answer:

£7.80 per hour

Step-by-step explanation:

Increase of 4%

= 7.50 x 1.04

= £7.80 per hour

Answer:

£7.8

Step-by-step explanation:

Amt she earned per hour = £7.50

Amt of increase = 4%

Amt she is earning currently =

£7.50*1.04 = £7.8

please show work

5x+20=3x+4

7x-4=3x+8

2x+6=x-9

Answers

Answer:

To evaluate an expression, first calculate the

powers, then multiply and divide in order from

left to right, and finally add and subtract in order

from left to right. Parentheses have preference.

example: 14 − 3

2

= 14 − 9 = 5

example: 2• 4 + 3•5 = 8 +15 = 23

example: 10 − 2 • 3

2

=10 − 2 • 9 =10 −18 = −8

example: (10 − 2) • 3

2

= 8•9 = 72

Problems 1-7: Find the value:

1. 2

3

= 5. 0

4

=

2. −2

4

= 6. (−2) 4

=

3. 4 + 2•5 = 7. 1

5

=

4. 3

2

− 2 • 3+1=

Problems 8-13: Find the value if a = −3, b = 2 ,

c = 0, d = 1, and e = −3:

8. a −e = 11. e

d

+

b

a

2d

e

=

9. e

2

+ (d − ab)c = 12. b

e

=

10. a −(bc − d) + e = 13. d

c

=

Step-by-step explanation:

To evaluate an expression, first calculate the

powers, then multiply and divide in order from

left to right, and finally add and subtract in order

from left to right. Parentheses have preference.

example: 14 − 3

2

= 14 − 9 = 5

example: 2• 4 + 3•5 = 8 +15 = 23

example: 10 − 2 • 3

2

=10 − 2 • 9 =10 −18 = −8

example: (10 − 2) • 3

2

= 8•9 = 72

Problems 1-7: Find the value:

1. 2

3

= 5. 0

4

=

2. −2

4

= 6. (−2) 4

=

3. 4 + 2•5 = 7. 1

5

=

4. 3

2

− 2 • 3+1=

Problems 8-13: Find the value if a = −3, b = 2 ,

c = 0, d = 1, and e = −3:

8. a −e = 11. e

d

+

b

a

2d

e

=

9. e

2

+ (d − ab)c = 12. b

e

=

10. a −(bc − d) + e = 13. d

c

=

[MA]:

x = -8

x = 3

x = -15

The explanation:

5x + 20 = 3x + 4

5x = 20 - 20 = 3x + 4 - 20

subtract = subtract = 5x = 3x - 16

5x = 3x - 16

5x - 3x = 3x - 16 - 3x

7x - 4 = 3x + 8

7x - 4 + 4 = 3x + 8 + 4

7x = 3x + 12

7x = 3x + 12

7x - 3x = 3x + 12 - 3x

2x + 6 = x - 9

2x + 6-6 = x - 9-6

2x = x - 15

2x = x - 15

2x - x = x - 15 - x

x = - 15

please answer the question in the link provided and show all the working

Answers

I hope this can help you

Next, the team wants to explore how it can change the steepness of the curved pit.

Identify how the graph of each equation compares with the graph of the parent quadratic equation, y = x2.

Drag the equations to the correct location on the chart. Not all equations will be used.

Answers

Given that the parent function, y = x², has a leading coefficient of 1, the

following are the comparisons of the equations with the parent functions;

[tex]\begin{array}{|c|cc|}Steeper \, than \, y = x^2&&Less \, Steep \ than \, y = x^2 \\y = 2 \cdot x^2&&y = \frac{1}{2} \cdot x^2 \\y = \left(2 \cdot x \right)^2&&y = \left(\frac{1}{2} \cdot x \right)^2 \end{array}\right][/tex]

How can the correct location of each equation be found?

The parent function is y = x²

The leading coefficient of the parent function = 1

The steepness of a quadratic equation is given by the value of the

leading coefficient.

When the leading coefficient is larger than 1, we have;

The function is steeper than y = x²

When the leading coefficient is a fraction larger than 0 but lesser than 1, we have;

The function is less steep than y = x²

Which gives;

[tex]\begin{array}{|c|cc|}Steeper \, than \, y = x^2&&Less \, Steep \ than \, y = x^2 \\y = 2 \cdot x^2&&y = \frac{1}{2} \cdot x^2 \\y = \left(2 \cdot x \right)^2&&y = \left(\frac{1}{2} \cdot x \right)^2 \end{array}\right][/tex]

The function y = -x² is inverted has the same steepness as y = x², but will not be used.

Learn more about the properties of quadratic functions here:

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