A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. billy incorrectly says that the speed of the car is 1/62
mile per hour. What is the speed of the​ car? What error might billy have​ made?

Answers

Answer 1

Answer: For time t ≥ 0 hours, let r(t) = 120 1 − e−10t2 represent the speed, in kilometers per hour, at which a ()

car travels along a straight road. The number of liters of gasoline used by the car to travel x kilometers is −x 2

modeled by g(x) = 0.05x 1 − e . ()

(a) How many kilometers does the car travel during the first 2 hours?

(b) Find the rate of change with respect to time of the number of liters of gasoline used by the car when

t = 2 hours. Indicate units of measure.

(c) How many liters of gasoline have been used by the car when it reaches a speed of 80 kilometers per

  (a)

(b)

hour?

∫ 2 r (t ) dt = 206.370 kilometers 0

dg dg dx dx dt=dx⋅dt; dt=r(t)

2 : {1 : integral 1 : answer

3:{2:useschainrule

1 : answer with units

   dg dt

t=2

dg

= dx ⋅r(2)

x=206.370

= (0.050)(120) = 6 liters hour

    (c)

Let T be the time at which the car’s speed reaches 80 kilometers per hour.

Then, r(T ) = 80 or T = 0.331453 hours. At time T, the car has gone

x(T ) = ∫ T r (t ) dt = 10.794097 kilometers 0

and has consumed g(x(T )) = 0.537 liters of gasoline.


Related Questions

someone solve this please, find the interest.

Answers

Answer:

$2.09

Step-by-step explanation:

1.95*70%= 1.365 mark up

1.95+1.37= 3.32 price

3.32*40% discount= 1.328

3.32-1.33 discount= 1.99 price

1.99*5% tax= .0995 tax

1.99+0.10 tax= 2.09 total price

The triangles shown below may not be congruent.

A. True
B. False

Answers

TRUEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answer: B. False.

They are in face Congruent! :)

describe this graph below in 2-4 sentences.

Answers

Answer:

Step-by-step explanation:

Polynomial with a degree of 3 (due to 3 intersection points). Since the end of the graph is approaching positive infinity, we also know the equation of this graph has a positive coefficient.

(I don't know if you're in calculus yet, but...) We also know that there is a local min and local max, as well as inflection points as the graph changes concavity.

This is an example of a polynomial funciton because the graph of a polynomial function is a smooth continuous curve. Also, I had to graph a polynomial function in one of my past assignments, so I know its appearance.

Ashley is a software saleswoman. Her base salary is $1,500, and she makes an additional $60 for every copy pf history is fun she sells. Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 23 copies of History is Fun

Answers

Answer:

2,880

Step-by-step explanation:

P + 60N = x

1500 + 60(23) = x

1500 + 1380 = x

2880 = x

factor the following question completely
6x - 4x2

Answers

Answer:

Factor 2x out  of 6x-4x^2

2x(3-2x)

Hope this helps :)

6. Write this equation in slope-intercept form. 7x = 3y - 12 ​

Answers

Answer: is y=7/3x+4

Step-by-step explanation:

1) add twelve to both sides- this will cancel out the 12

2)you now have 7x+12=3y

3) divide three on both sides. note you put everything over three on the left

4) 7 over 3 (x)+4=y is what you get when you finish doing the simple computations

5) flip the whole thing around so it fits the form. remember that addition can be anywhere as long as you don't switch sides of the equation

you will get: y=7/3x+4

Answer:

ans is

x/-1power 2/7 +y/4 =1

What is the radius and diameter of the following circle?
11 cm

Answers

Answer:

Diameter is 11cm, and the radius is 5.5

Step-by-step explanation:

To get the radius, just divide the size of the circle by 2

Diameter is the same size as the circle

what is the MAD of 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89 ?
I'm very confused.

Answers

MAD= mean absolute deviation. Find the mean first. So if you add all the numbers and divide by the amount of numbers. Then you do the data value subtracted by the mean. Mean= 912 divided by 12 which equals 76. 912-76= 836. Sorry if it’s wrong, I don’t remember much from learning this.

Answer:

11.16

Step-by-step explanation:

hope this helps

parallel lines, transversal, and algebra really need help

Answers

Answer:

1. 58 = 5x-2, 60 = 5x, x = 12

2. 134 = 16x+22, 112 = 16x, x = 7

3. 125 = 7x-1, 126 = 7x, x = 18

4. 133+9x+2 = 180, 9x=45, x=6

5. 8x-77 = 3x+38, 5x = 115, x=23

6. 11x-47 = 6x-2, 5x = 45, x=9

7. 13x-21 = 5x+75, 8x = 96, x=12

8. 5x+3+9x-33 = 180, 14x = 210, x=15

9. 8x-31 = 6x+3, 2x = 34, x=17

5y+35+6(17)+3 = 180, 5y = 40, y = 8

10. 29x-3+15x+7 = 180, 44x = 176, x=4

13y-17+15(4)+7 = 180, 13y = 130, y=10

1. x = 12

2. x = 7

3. x = 18

4. x = 5

5. x = 23

6. x = 9

7. x = 12

8. x = 15

9. x = 17; y = 8

10. x = 4; y = 10

To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:

corresponding angles are congruent (i.e. equal to each other)vertically opposite angles are congruent alternate angles are congruent same-side interior angles are supplementary (i.e. sum up to give 180°alternate exterior angles are congruent.

Let's solve the given problems as shown below given that line l is parallel to line m:

1. [tex]58 = (5x - 2)[/tex] (corresponding angles)

solve for x

[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)

[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)

[tex]12 = x\\x = 12[/tex]

2. [tex]134 = 16x+22[/tex] (alternate exterior angles)

[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)

[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)

[tex]7 = x\\x = 7[/tex]

3. [tex]7x - 1 = 125[/tex] (alternate angles)

[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]

4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)

[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]

5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)

[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]

6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)

[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]

7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)

[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]

8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)

[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]

9. [tex]8x-31 = 6x+3[/tex] (alternate angles)

[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]

Solve for y

[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)

[tex]5y + 35 + 6x + 3 = 180\\[/tex]

Plug in the value of x

[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]

10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)

Solve for y

[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)

Plug in the value of x

[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]

Learn more about parallel lines here:

https://brainly.com/question/16227989

PLEASE ANSWER I WILL MARK YOU BRAINLIEST!!!

Answers

9514 1404 393

Answer:

distributesubtractadddivide by

Step-by-step explanation:

  [tex]\begin{array}{rccl}&-2(5x+8)=14+6x\\\text{Step 1:}&-10x-16=14+6x&\text{distribute}&\text{-2 to $5x$ and 8.}\\\text{Step 2:}&-16x-16=14&\text{subtract}&6x\\\text{Step 3:}&-16x=30&\text{add}&16\\\text{Step 4:}&x=\dfrac{30}{-16}&\text{divide by}&-16\end{array}[/tex]

At each step after the first, we use one of the properties of equality to simplify the equation. In the first step, we use the distributive property to eliminate parentheses.

_____

Additional comment

Note that the first step could have been "divide by -2", which would result in the equation 5x+8 = -7 -3x. Subsequent steps would add 3x, subtract 8, and divide by 8, to give a result of x=-15/8. There is usually more than one way to work a math problem.

please help I would really Appreciate it so much ​

Answers

Answer:

I think it is b

Step-by-step explanation:

it is 3a times all of the numbers in parenthases

hope you pass your test

HAPPY NEW YEAR

Answer:

the answer is 15a+12ac+6ab

Step-by-step explanation:

3a(5+4c+2b)

(3a)(5+4c+2b)

(3a)(5)+(3a)(4c)+(3a)(2b)

15a+12ac+6ab

6ab+12ac+15a

hope this helps!

What is the answer for - 2x + 3 > 15

Answers

Answer:

X < -6

Step-by-step explanation:

Please help me thank you

Answers

i’m pretty sure the answer is A. ( i also use my hrw too lol)

Answer:

the answer is A

Step-by-step explanation:

they are 3 sets of 2.3. the 5 at the top represents the number of 2.3s that r there. so the answer is A

Solve the inequality.
4x - 12 < 16

Answers

Answer:

x<7

I Believe

                     

Solve The System: 3x + y = 7
4x + 2y = 16

Answers

Answer: 3x+y=7  answer for that one is x=7/3-y/3

4x+2y=16 the answer for that is x=4-y/2

Step-by-step explanation:

The answer is x = 13/9 and y = 8/3

What is the fraction that is halfway between 1/3 and 1 1/2

Answers

Answer:

17/6 or 18/6

Step-by-step explanation:

1/3        11/2        first make sure they have the same bottom number

2/6       33/6       now find the in between

please give me a brainliest if this helps

James social studies test scores for the semester are shown below 83 91 79 83 89

Answers

Answer:

avarage will be=85

Step-by-step explanation:

Sue bought five sweatshirts all for the same price. The tax on the purchase was $2.50 and the total was $47.50. What was the cost of each sweatshirt?
Clara lends half her marker collection to her sister, Susan. Clara then buys four more markers. If she has 12 markers now, how many markers did Clara have initially?
show your work
HELP THANKYOUUUUU

Answers

Answer:

For the second question, the answer is 16 markers.

Step-by-step explanation:

12-4=8 8+8=16

the graph below shows the cost of tomato plants for each plant purchased. What is the cost of one tomato plant.​

Answers

Answer:

2.50

Step-by-step explanation:

Answer:

2.5 so $2.50 is your awnser

can somebody please help me

Answers

Answer:

[tex]C.650,000\ pounds[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\No.\ of\ superheroes\ =3\ superheroes\\Weight\ in\ Tons\ 3\ superheroes\ can\ lift\ together=975\ tons.\\Hence,\\As\ we\ know\ that,\\1\ ton=2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=975*2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=1,950,000\ pounds\\Hence,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{Weight\ in\ Pounds\ 3\ superheroes\ can\ lift}{No.\ of\ superheroes}\\[/tex]

[tex]Hence\ by\ substituting\ values,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{1,950,000}{3}= 650,000\ pounds[/tex]

Please help me it’s due in a couple of minutes!!!!!!!!

Answers

Answer:

1/4 c. + 2 tbsp.

Step-by-step explanation:

3/4 c. = 12 tbsp.

12 / 2 = 6

6 tbsp. = 1/4 c. + 2 tbsp.

What would the perimeter of a triangle be if the side lengths were 5x+2, 3x-5, and x+10

Answers

5x + 2 + 3x - 5 + x + 10 =

9x + 7

What is the sum of -7 1/6 + 3 5/6 in simplest form?

Answers

Answer:

-3 1/3

Step-by-step explanation:




Tanner is preparing dinner plates. He has 36 pieces of chicken and 16 rolls. If he wants to make all the plates identical
without any food left over, what is the greatest number of plates Tanner can prepare?

Answers

Answer:

4

Step-by-step explanation:

First, we find the greatest common factor of 36 and 16.

36 = 2^2 * 3^2

16 = 2^4

GCF = 2^2 = 4

He can make 4 plates.

Pls can any one help me with question two pls
Someone kind answered question one for me soo can u pls answer question two for me plssss

Answers

Answer:

b is the correct answer

Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10

Answers

Answer:

−4x^3+12

Step-by-step explanation:

2+3x^3-7x^3+10

simplify this

−4x3+12

While solving a numerical in Physics, Archana got the answer 2.387 x 107instead of 2.367 x 107due to a miscalculation. By how much does her answer differ from the correct answer? Show your work.
please answer quickly i have marks for it!!!

Answers

Answer:

correct answer = 2.367x107

wrong answer =  2.387x107

to find difference do big-small

or 2.387x107-2.367x107= (2.387-2.367)x107= 0.02x107=2.14

Peter says, "If you subtract 19 from my number and multiply the difference by - 7, the result is
- 140." What is Peter's number?
Peter's number is

Answers

Answer:

39

Step-by-step explanation:

His number is x.

"If you subtract 19 from my number"

x - 19

"and multiply the difference by - 7"

-7(x - 19)

"the result is  -140."

-7(x - 19) = -140

Divide both sides by -7.

x - 19 = 20

Add 19 to both sides.

x = 39

Answer: The number is 39.

I think the answer would be 39

I need help with this last question I have here

Answers

Answer:

its d

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The "quotient" is what you get after you divide 2 number, and in this case, you are dividing m/6.

which is not a justification for the proof
a. pieces of right triangles similarity theorem
b. side side side similarity theorem
c. substitution
d. addition property of equality ​

Answers

Answer: B.Side side side similarity theorem

Step-by-step explanation:

Hope this helps <3

^^^^ B.Side side side similarity theorem is correct

i just took the test and it was right!

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