An airplane takes 5 hours to travel a distance of 3900 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind.

The speed of the plane in still air is ____ MPH and the speed of the wind is ____ MPH.

Answers

Answer 1

The speed of plane in still air is 715 MPH and the speed of the wind is 65 MPH

Distance travelled by airplane = 3900 miles

Time taken by the plane to travel the distance with the wind = 5 hours

Time taken by the plane to travel the distance against the wind = 6 hours

Let the speed of the plane in still air be x

Let the speed of the wind be y

Finding the speed of the air and airplane when distance is covered with the wind using the formula:

Speed of airplane + Speed of wind = Distance/Time

x + y= 3900/5

x + y = 780------(1)

Finding the speed of the air and airplane when distance is covered against the wind using the formula:

Speed of airplane - Speed of wind = Distance/Time

x - y = 3900/6

x - y = 650------(2)

Equating (1) and (2) we get:

2x = 1430

x = 715

Putting x = 715 in (1) we get:

y = 65

So, Speed of airplane in still air is 715 MPH and Speed of wind is 65 MPH  

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Related Questions

Let f(x) = 2x^2 + 7 and g(x) = x^2+9x-6. Find f(x) - g(x).

A. X^2-11x+13

B. X^2-11x+1

C. X^2+7x+1

D. X^2+7x+13

Answers

Answer: answer should be;

x^2+9x+13

Step-by-step explanation:

hey there;

f {x} - g {x}

=2x^2 + 7 - x^2+9x-6

=2x^2-x^2+9x+ 7-6

=x^2+9x+13

So, this is the following answer. You may mistook the question or the question itself is wrong.

Hope it helps!

What is the median number of 135, 122, 108, 127, 116, 76

Answers

Answer:

119

Step-by-step explanation:

76,108,116,122,127,135

if you cross them out you are left with 116 and 122, when you have 2 numbers you add them together then divide by 2 so that would give 119

hope this works :)

[tex] \frac{108 + 127}{2?} = 117.5[/tex]

Find the circumference and area of circle X if each unit on the graph measures 1 centimeter. Round answers to the
nearest tenth, if necessary.

Answers

The circumference and area of the circle are 13cm and 13cm^2 respectively

How to determine the values

The formula for circumference of a circle is expressed as:

Circumference = 2πr

From the graph shown, we have the radius of the circle as 2 cm

Substitute the value into the formula

Circumference = 2 × 3. 142 × 2

Multiply through

Circumference = 12. 568

Circumference = 13cm

The formula for area of a circle is expressed as:

Area = πr^2

Substitute the value into the formula

Area = 3. 142 × (2)^2

Area = 3. 142 × 4

Area = 12. 568

Area = 13cm^2

Thus, the circumference and area of the circle are 13cm and 13cm^2 respectively.

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Find the equation of the line with slope 4 which goes through the point (8,5).
Give your answer in slope-intercept form y=mx+b.

Answers

Answer:

y = 4x - 27

Step-by-step explanation:

The point (8,5) contains and x and y on the line.  The x is 8 and the y is 5.  Using this and the slope given we can write the equation.  We need to solve for b.

y = mx + b

5 = 4(8) + b

5 = 32 + b  Subtract 32 from both sides of the equation

-27 = b

y = mx + b

y = 4x - 27

Answer:

pls rate as brainliest

Step-by-step explanation:

y-y1=m(x-x1)

where y1=5,x1=8 and m=4

y-5=4(x-8)

y-5=4x-16

y=4x-16+5

y=4x-11

8. New-to-You Car Sales zoom in
customers about their overall level of
satisfaction. They take a random sample
of 100 customers who have bought a car
in the last 5 years and mail them each a
survey.
Based on this description, the type of
sampling bias most likely to affect the
surve results is:
Answer choices:
self-selection bias.
nonresponse bias.
undercoverage bias.
8

Answers

The survey results are most likely to be affected by non response bias.

Sampling bias is a form of bias wherein a sample is collected in such a manner that some members of the intended population have a lower or higher sampling probability than others.

Non-response bias is a type of a sampling bias that occurs when people are unwilling or unable to respond to a survey because of a factor that makes them differ significantly from the people who do respond to the survey. The difference between non-respondents and respondents is generally an influencing factor for the former's lack of response. Non response error is very common in mail surveys.

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What is a two step problem with variables on each side equal 21? (Please help)

Answers

5x-16=5+4x

    +16+5

   5x=21+4x

  -4x       -4x

     x= 21

Step-by-step explanation:

3(2x + 2) - (x − 4) < 18

Answers

To plot the graph of equation 3(2x + 2) - (x − 4) < 18, we need to simplify the equation of inequality first which can be simplified as

3(2x + 2) - (x − 4) < 18

6x +  6 -x+ 4 < 18

5x + 10 < 18

5x <18 - 10

5x < 8

x < 8/5

x < 1.6

So,  we need to plot the line graph of the equation of  inequality x < 1.6 which is attached to the solution where Blue is marked or plotted in the graph, and also note that at 1.6 there is a hollow circular mark which resents the inequality

Correct question is plot the graph of equation 3(2x + 2) - (x − 4) < 18

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What is −10 + |−4| − |−12|?

Answers

Answer:

-18

Step-by-step explanation:

-10 + |-4| - |-12|       Since there are the | |, then any negative number inside would become a positive as it will become its absolute value, which for -4, would be 4, because it is 4 spots away from the 0 on a number line and vice versa.

-10 + 4 - 12   Answering from left to right,

-10 + 4, if you would rather make it so they are both equal, you change the + to the opposite which would be - and change the 4 back to a negative because that is what it would be if you changed the equation to be subtraction instead to be easier as they would both be negatives now, so you would subtract -10 - -4 and get -6.

-6 - 12. Again, switch the - to the opposite, which is +, and then make 12 the opposite that it was before so they both share the same symbol, making it

-6 + -12, which would be -18.

The midpoint
of AB is M(-5, 0). If the
coordinates of A are (-3, 3), what are
the coordinates
of B?

Answers

answer as by using mid point formula and then after equating the corresponding co ordinates we get the answer -7 and -3

How can you find 100% of Carmen's earnings using
the ratio of her earnings to 10%? What is 100% of
Carmen's earnings?

Answers

Carmen's total earning will be 10x when 10% earning is assumed to be x.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Let x be the earning of Carmen's that is equals to 10% of total earning.

Then total earning that is 100% will be equals to the multiplication 10% and x both with 10 :

10%( total earning of Carmen's ) = x

100%( total earning of Carmen's ) = 10x

Therefore, Carmen's total earning will be 10x when 10% earning is assumed to be x.

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Anna is analyzing her greeting card business's profits. She wants
more than 40% of the price pof her greeting cards to be profit.
If crepresents Anna's cost to make a greeting card, which inequality
represents the desired relationship between price and cost?

Answers

The relationship between the price and cost is p > c.

The cost of manufacturing a product has a direct bearing on its price and the revenue generated by each sale. The cost of a product or service is determined by the customer's willingness to pay. Profit is the sum of the price paid less the costs incurred.

The price of Anna's greeting cards is p.

The cost of making a single greeting card is c.

Anna wants the profit to be 40% of the price of her greeting cards.

Profit = 40% of p

Profit = 40% × p = 0.4p

Now, we know

Price = Profit + Cost

p = 0.4p + c

Therefore, the relationship between cost and price is given by inequality:

p > c

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now. John is 9 years How old will he be after 20 years.​

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\text{If John is currently 9 years old and we’re trying to figure out how old he will be}\\\text{in 20 years.}[/tex]


[tex]\text{Let us label your equation to:}[/tex]

[tex]\text{9 - a = 20 OR BETTER YET a - 9 = 20; your “a”-value will be labeled as}\\\text{John future age.}[/tex]

[tex]\textsf{Equation:}[/tex]

[tex]\mathsf{a - 9 = 20}[/tex]

[tex]\textsf{ADD 9 to BOTH SIDES}[/tex]

[tex]\mathsf{a - 9 + 9 = 20 + 9}[/tex]

[tex]\textsf{SIMPLIFY IT}[/tex]

[tex]\mathsf{a = 20 + 9}[/tex]

[tex]\mathsf{a = 29}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{John\ will \ be \ \boxed{\mathsf{29}} \ years \ old}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

What is the smallest prime number that divides evenly into 135​?

Answers

the smallest prime number that divides evenly into 135 is 3

2x^2-4x=8 solve using quadratic equation

Answers

Answer:

Answer is 1+- √2

Step-by-step explanation:

[tex] \frac{ - ( - 4) + - \sqrt{ {4}^{2} - 2 \times( - 8) } }{2(2)} [/tex]

[tex] \frac{4 + - \sqrt{32} }{4} [/tex]

[tex]1 + - \sqrt{2} [/tex]

Hope this help just try it

lim x 3^ + |6-2x|/ sqrt x-3

Answers

Answer: maybe this will help. try searching this

Lim x 3^ + |6-2x|/ sqrt x-3 Evaluate the expression. to watch this video that I have screenshot down below.

Step-by-step explanation:

A car rental agency rent 190 cars per day at a rate of $40 per day for each one dollar increase in rate five fewer cars are rented at what rate should the cars be rented to produce the maximum income?

Answers

The rate that the cars should be rented to produce the maximum income is: 41 Dollars/Day, Maximum income 7615.

Rate and maximum income

Let y represent the  income

Let  x  represent the increase in rental price after increasing the rental price is 40+x.

Let 190-5x represent the number of cars rental after a rental price increase

Income expression

y=(190-5x) (40+x)

Let differentiate y with respect to x and set y' =0 to determine the maximum income

Hence,

y=(190-5x) (40+x)

=(190) (40) + 190 (x) -5x(40) -5x-(x)

=7600 +190x-200x-5x²

y= -5x² +10x+7600

Differentiate with respect to x

y'=d/dx ( -5x² +10x+7600)

y'=-10x+10x

set y'=0

-10x+10=0

10x=10

x=10/10

x=1

Maximum Rate =40+x

=40+1

=41 Dollars/Day

Maximum Income is

y= ( -5x² +10x+7600)

=(−5(1)²+10(1)+7600)

=−5(1)+10+7600

=5+10+7600

=7615

Therefore the rate that the cars should be rented to produce the maximum income is: 41 Dollars/Day, Maximum income 7615.

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For a school project, Samuel cuts 4/7-inch discs of metal. How many discs can he make from a metal post that mesures 1/3
foot in length?

Answers

If Samuel cuts [tex]\frac{4}{7}[/tex] inches discs of metal, then he can make 7 discs from a metal post that measures [tex]\frac{1}{3}[/tex] foot in length

Given,

The total length of metal post= [tex]\frac{1}{3}[/tex] foot

Convert foot to inches

1 foot = 12 inches

[tex]\frac{1}{3}[/tex] foot= 4 inches

The length of each disc of metal = [tex]\frac{4}{7}[/tex] inches

Number of metal post that he can cut = Total length of metal post / The length of each disc of metal

[tex]=\frac{4}{\frac{4}{7} } \\=4(\frac{7}{4})\\ =7[/tex]

Hence, if Samuel cuts [tex]\frac{4}{7}[/tex] inches discs of metal, then he can make 7 discs from a metal post that measures [tex]\frac{1}{3}[/tex] foot in length

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How to turn a decimal number into a fraction

For an example-
(1.5)

Answers

Answer: 3/2 for improper fraction and 1 1/2 for a mixed number

Step-by-step explanation:

What two variables are involved in this problem? Which variable can best be designated as the dependent variable? As the independent variable? a. Independent variable - amount of depreciation per year; Dependent variable - number of years you own the truck. b. Independent variable - value of the truck; Dependent variable - amount of depreciation per year. c. Independent variable - number of years you own the truck; Dependent variable - value of the truck. d. Independent variable - value of the truck; Dependent variable - number of years you own the truck.

Answers

The designation of the dependent variable and the independent variable can be d. Independent variable - value of the truck; and Dependent variable - number of years you own the truck.

How to determine the designation of the dependent variable and the independent variable?

In most cases, dependent variables are used to represent discrete values

Take for instance:

Number of yearsNumber of hoursNumber of people

While independent variables are used to represent continuous values

Take for instance:

AmountCost

Using the above as a hint, the designation of the dependent variable and the independent variable can be d. Independent variable - value of the truck; and Dependent variable - number of years you own the truck.

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Help please with all!!!

Answers

Answer:

Suri= 40.7   Baseball=C   19=19.417   20=11.167   Tens=6  Thousanths=9  Hundreths=7  Tenths=5     Write in standard form=82.007    4.567   72.85

Write in expanded form= 20+4+0.1+0.07   30+6+0.9    1+0.8+0.02+0.004

Step-by-step explanation:

i gotchu

One of the legs of a right triangle measures 2 cm and its hypotenuse measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer: 3.5

Step-by-step explanation:

To find the length of the missing leg, we need to use the Pythagorean Theorem (a^2 + b^2 = c^2 where c is the hypotenuse)

1) Plug in numbers

2^2 + b^2 = 4^2

2) Square

4 + b^2 = 16

3) Flip Equation and Subtract

16 - 4 = b^2

16 - 4 = 12

4) Square Root of 12

The square root of 12 is ~3.46, so you need to round to the nearest tenth, which is 3.5

The set of all numbers less than or equal to −4 or greater than 0.

Answers

Answer:

Step-by-step explanation:

-4 ≥ x

-0 ≤ x

I don't think you can combine this into one statement.

Your line looks something like

<---------------O                 O------------------------->

                 -4               -0

Shade in the 2 Os. The shaded in Os  are included in the way the line looks.


What is the solution set of this inequality?
-8-1> 3z + 14

Answers

Answer:

z>7.67

Step-by-step explanation:

-9>3z+14

3z<-14-9

3z<-23

3z>23

z>(23÷3)

z>7.67

if 5x is the average of two numbers and one of the numbers is 3, what is the other number?

Answers

4x

5+4/2=5 imput x since you cant forget your variable

Find the median, mean, mode, and range of the data.

Answers

Answer:

median:11

mode:11

mean:11.143

range:

Step-by-step explanation:

median is the middle number so you first arrange the numbers in an ascending order after rounding off each number. Then you're gonna cancel one number from the left and one from the right until they remain two numbers then you add them and divide by 2 to get 11

I'm not sure about mode coz it's the most repeated number

mean is where you add all numbers and divide them by the total amount of numbers.

I tried!

Alonzo is playing a role playing game with his friends. He will roll dice to determine if his character casts a spell. The odds in favor of his character casting a spell are 13/6. Find the probability of his character casting a spell.

A child has a box full of colored building blocks. If he chooses one block without looking, the probability of choosing a green block is 7/9. What are the odds against choosing a green block?

Answers

A. The probability of his character casting a spell will be 1/6.

B. The odds against choosing a green block is 2/9.

How to calculate the probability?

A. It should be noted that probability has to do with the chance of a particular thing happening.

In this case, the odds in favor of his character casting a spell are 1/6, therefore the probability of his character casting a spell is 1/6.

B. When a child has a box full of colored building blocks and he chooses one block without looking, the probability of choosing a green block is 7/9, therefore, the odds against choosing a green block will be:

= 1 - P(green block)

= 1 - 7/9

= 2/9

Therefore, the odds against choosing a green block will be 2/9.

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Question Progress
Joe summarised this message
Homework Progress
22/
Raise more than £400
and run the
Ingleby marathon for free.
Do a similar thing for this message
Raise at least £900
and run the
Angley marathon for free.
Like this
Use A. again
Run the Ingleby marathon
for free if
A> £400
Run the Angley marathon
for free if

Answers

Run the Ingleby marathon for free if  A ≥ £900

Given data

a. Joe raise more than £400 and run the Ingleby marathon for free

Run the Ingleby marathon for free if A> £400

b. Joe raise at least £900 and run the Ingleby marathon for free

Run the Ingleby marathon for free if __________

How to find the completion of the statement

The first part of the statement gives the clue and it rewritten as

a. Raise more than £400 and run the Ingleby marathon for free

Run the Ingleby marathon for free if A> £400

more than £400 is represented as A> £400

The statement means amount greater that £400 and it is written mathematically as A> £400

The second statement is done as follows:

b. Joe raise at least £900 and run the Ingleby marathon for free

Run the Ingleby marathon for free if __________

In this case Joe runs the marathon if the amount is of the that is at least £900, which implies amount of 900 and above or simply put: amount of 900 or more than 900 .

This represented mathematically as: A ≥ £900

Hence we say Run the Ingleby marathon for free if  A ≥ £900

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Complete question

The complete question is attached

Rosie Dry Cleaning was started on January 1, Year 1. It experienced the following events during its first two years of operation: Events Affecting Year 1 Provided $31,130 of cleaning services on account. Collected $24,904 cash from accounts receivable. Adjusted the accounting records to reflect the estimate that uncollectible accounts expense would be 1 percent of the cleaning revenue on account. Events Affecting Year 2 Wrote off a $233 account receivable that was determined to be uncollectible. Provided $36,329 of cleaning services on account. Collected $32,151 cash from accounts receivable. Adjusted the accounting records to reflect the estimate that uncollectible accounts expense would be 1 percent of the cleaning revenue on account.

Answers

a. Organizing the transaction data in accounts under an accounting equation for each year is as follows.

Accounting Equation: Assets = Liabilities + Equity

Year 1:

        Cash        Accounts      =     Liabilities     + Equity

                       Receivable

1)                           $31,130                                  $31,130  Service Revenue

2)     $24,904      (24,904)

3)                                 (311)                                      (311)  Bad Debts Expense

Bal. $24,904         $5,915                                $30,819

Year 2:

        Cash        Accounts      =     Liabilities     + Equity

                       Receivable

Bal. $24,904       $6,226                                 $30,819 Retained Earnings

1)                               (233) +233

2)                       $36,329                                $36,329  Service Revenue

3)     $32,151        (32,151)

4)                             (285)                                     (285) Bad Debts Expense

Bal. $57,055      $9,808                               $66,863  

b. Determining the following amounts is as follows:

                                                                             Year 1            Year 2

1. Net income                                                    $30,819       $36,044

2. Net cash flow from operating activities       24,904           32,151

3. Balance of accounts receivable at the end  6,226             10,171

4. Net realizable value of accounts receivable 5,915            9,808

Transaction Analysis:

Year 1:

1) Accounts Receivable $31,130 Service Revenue $31,130

2) Cash $24,904 Accounts Receivable $24,904

3) Bad Debts Expense $311 Allowance for Uncollectible Accounts $311

Year 2:

1) Allowance for Uncollectible Accounts $233 Accounts Receivable $233

2) Accounts Receivable $36,329 Service Revenue $36,329

3)  Cash $32,151 Accounts Receivable $32,151

4)  Bad Debts Expense $285 Allowance for Uncollectible Accounts $285

Net income for Year 2 = $36,044 ($36,329 - $285)

Net cash flow from operating activities:

Year 1:

Net income                    $30,819

Non-cash expense                311

Accts receivable              (6,226)

Cash from operations $24,904

Year 2:

Net income                    $36,044

Non-cash expense                 52 ($285 - $233)

Accts receivable              (3,945)

Cash from operations  $32,151

Year 1:

Accounts Receivable

Account Titles            Debit      Credit

1) Service Revenue $31,130

2) Cash                                  $24,904

Ending balance                      $6,226

Net Realizable Accounts Receivable = $5,915 ($6,226 - $311)

Year 2:

Accounts Receivable

Account Titles            Debit      Credit

Beginning balance   $6,226

1) Allowance for Uncollectibles $233

2) Service Revenue 36,329

3)  Cash                                    32,151

Ending balance                      $10,171

Net Realizable Accounts Receivable = $9,808 ($10,171- $363)

Allowance for Uncollectible Accounts

Account Titles            Debit      Credit

Year 1:

Bad Debts Expense                   $311

Year 2:

Accounts Receivable $233

Bad Debts Expense                  285

Balance                      $363

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Question Completion:

Required a. Organize the transaction data in accounts under an accounting equation for each year.

b. Determine the following amounts:

1. Net income for years 1 and 2.

2. Net cash flow from operating activities for Years 1 and 2.

3. Balance of accounts receivable at the end of Years 1 and 2.

4. Net realizable value of accounts receivable at the end of years 1 and 2.

The pressure exerted on the floor by a person’s shoe heel varies in direct proportion on his or her weight

Answers

Based on the variation statement, the variation equation is P = kW

How to determine the pressure equation?

The mathematical statement is given as

The pressure exerted on the floor by a person’s shoe heel varies in direct proportion on his or her weight

A direct variation is represented as ∝

In this case, we have

P = Pressure

W = Weight

So, we have the variation to be

P ∝ W

Express as an equation

P = kW

Where k represents the constant of variation

Hence, the variation equation is P = kW

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Need help on trying to solve this

Answers

It should be noted that the area of the shaded figure based on the information will be 9600 m².

How to calculate the area?

It should be noted that the area of a rectangle is calculated by multiplying the length by the width that's given.

It should be noted that this shape can be used

to form two rectangles and the areas will be added together.

Therefore, it should be noted that the area of the rectangle will be:

= (60 × 60) + (100 × 60)

= 3600 + 6000

= 9600 m²

In conclusion, it should be noted that the area of the shaded figure based on the information will be 9600 m².

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6.) The quotient of Jorge's age and 3 minus 2 is 30. How old is Jorge? A cowboy stands on horizontal ground between two parallel, vertical cliffs. He is not midway between the cliffs. He fires a shot and hears its echoes. The second echo arrives 1.92 s after the first and 1.47s before the third. Consider only the sound traveling parallel to the ground and reflecting from the cliffs. (a) What is the distance between the cliffs? 7x - 2y = 13x + 4y = 15Substitution method Linear Equations The words "hard-working" and "diligent" are A homographs.B homophones. C antonyms.D synonyms. anaphylaxis caused by stinging insects is typically an allergic reaction to rather than the bite or sting itself. 82 78 80 72 85 80 calculate the mean and standard deviation of service speed using the formula for each. Show work. a 50-year-old man presents with a 2-week history of not being able to see well. he is not on any medications. he has a 60 pack-year history of cigarette smoking. past medical and surgical history are otherwise unremarkable; he does not take any medications. on examination of his right eye, both ptosis and miosis are noted. a chest x-ray shows a rounded opacity in the right lung field. a high school graduating class is made up of 410 students. there are 66 more girls than boys. how many boys are in the class? when tax revenues from alcoholic beverages started to decline with the increasing popularity of tea, the british government blank A universal set U consists of 19 elements. If sets A, B, and C are proper subsets of U and n(U) = 19, n(An B) = n(An K C) = n(B n C)= 9, n(An B n C) =6, and n(A U B UC) = 15, determine each of the following. a) n(A U B) b ) n ( A' UC c) n(An B)' determine the inverse of the function Your "funny bone" is actually a cluster of___________. two sides of a triangle have the same length. the third side measures 6 m less than twice the common length. the perimeter of the triangle is 10 m. what are the lengths of the three sides? Steve Pemberton reflects on his experience with the Robinsons in his memoir, A Chance in the World. What is Pembertons perspective of this time and how does he use figurative language and sensory language to communicate that perspective to readers? True or false-Consider an object that starts from rest and moves with constant acceleration. The plot of displacement versus time for such motion is a curved line while the plot of displacement versus time squared is a straight line.Question 21 options: True False Find the equation of the line that passes through the points (1,2) and 3, 10). Simple Math Range and domain help this is due in 2 hours will give brainliest. exhibiting a fraud red flag, such as never taking a vacation, is an indicator of only dishonest employees. in the context of the dose-response relationship of smoking and pregnancy, the diminished growth rate observed in the fetus of smoking women is attributed to the