Have vehicles gotten more fuel-efficient over the years? Between 1960 and 1999 the size and shape of automobiles in the United States has changed almost annually. The amount of fuel consumed by these vehicles has also changed. The following table describes the average fuel consumption per year per passenger car in gallons of gasoline.
Year, t 1960 1970 1980 1990 1995 1997 1998 1999
Gallons Consumed
Per Passenger Car 668 760 576 520 530 538 544 552

Determine the average rate of change, in gallons of gas per year, from 1960 to 1990.
a.
StartFraction delta g Over delta t EndFraction = 4.93 gal/year
b.
StartFraction delta g Over delta t EndFraction = negative 4.93 gal/year
c.
StartFraction delta t Over delta g EndFraction = 0.20 gal/year
d.
StartFraction delta t Over delta g EndFraction = negative 0.20 gal/year

Answers

Answer 1

Answer:

the answer is c

Step-by-step explanation:

Answer 2
I believe it is C. The only answer I could see happening

Related Questions

A jacket selling for $48 was on sale at 20% off. Find the sale price of the jacket. To estimate, round the original price to the nearest $10 answer key for
question​

Answers

$50x.20 = $10 off. So the jacket is estimated to be about $40

What is the lower quartile of the annual wind speeds in Chicago?



a) 9.1

b) 11.5

c) 8.2

d) 10.75

Answers

Answer:

9.1

Step-by-step explanation:

The lower quartile, denoted as Q1, gives the value of the lower quartile, from a box plot, the value of the lower quartile is the value at the starting point of the box. In the box plot given for the windspeed in Chicago, the starting point of the box is the point marked with the reading 9.1. Hence we can conclude that the lower quartile is 9.1

2. The cost of a bicycle is * 2895. Find the cost of 1486 bicycles,
. A truck can carry 6785 kg of goods. How much can 759 trucks carry?​

Answers

Answer:

4,301,970

5,149,815

Step-by-step explanation:

The cost of a bicycle is 2895

Therefore the cost of 1486 bicycles is

= 2895×1486

= 4,301,970

A truck can carry 6785 kg of food

Therefore the amount in which 759 truckj can carry can be calculated as follows

= 6785×759

= 5,149,815

The triangle shown below has an area of 40 units. Find the missing side.
8 and 9 are both sides (help meeee)

Answers

The answer is 10

Because the formula for area of a triangle is b x h/2 so you would 8 *10 which would be 80 then you would divide 80 by two and then you would get your answer.

Find all six trigonometric ratios for the triangle shown. Show all work. In order to enter
mathematical text, click "Insert" and then "Equation".
20

15

Answers

Answer:

use the required formulas please !

Solve for x
2
х
al
2

Answers

Answer:

4/5 = x

Step-by-step explanation:

2/5  = x/2

Using cross products

2*2 = 5x

4 = 5x

Divide by 5

4/5 = 5x/5

4/5 = x

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex] \frac{2}{5} = \frac{x}{2} [/tex]

Use the cross multiplication method.

[tex]2 \times 2 = x \times 5 \\ 4 = 5x \\ \frac{4}{5} = x[/tex]

Answer = [tex] \frac{4}{5} [/tex]

n an amusement park, the bumper cars are sometimes becoming disabled and in need of repair. The repairman can fix the disabled bumper cars in an average time of 20 minutes with a standard deviation of 20 minutes. Cars tend to break down at two per hour between two consecutive breakdowns following an exponential distribution. What is the total time for a disabled bumper car to be fixed

Answers

Answer:

1 hour 20 minutes

Step-by-step explanation:

Time to fix car ( repair time ) = 20 minutes

Breakdown rate ( λ )  = 2 car per hour

first step : determine service the service rate ( μ )

= 60 minutes / 20 minutes

= 3 cars per hour

next : determine the average waiting time for a disabled car

=  1 / (μ - λ)

= 1 / service rate - breakdown rate

= 1 / ( 3 - 2 )

= 1 / 1 =  1 hour

Finally Total time for a disabled car to be fixed

= repair time + average waiting time

= 20 minutes + 60 minutes

= 1 hour 20 minutes

carol rolled a dice 150 times she rolled a six 39 time

Answers

Answer:

nice

Step-by-step explanation:

whats the rest of the problem or is it just that she rolled a dice

Your mom hands you a stack of utensils to set the table for a dinner party for nine people. If each place setting includes three utensils, how many utensils did your mom hand you? Use the equation = 3 to solve.
a. x=3
b. x=1
c. x= 27
d. X= 9​

Answers

Answer:

C. x= 27

Step-by-step explanation:

Can someone please help.

Answers

Answer:7-10

Step-by-step explanation:

In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table

And the change from 7-10 is the highest change that is "next to each other"

What is the answer to this ?

Answers

Answer:

the answer is 180

Step-by-step explanation:

The answer is 180.

I hope this helps

z^2+x-x: use x=3, and z=-2

Answers

Answer:

31 and 4

Step-by-step explanation:

the table shows the total number of apples pears and oranges in a fruit basket. Which statement represents the relationship between the total pieces of fruit and the number of pears in the basket

Answers

Answer:

A. There is four times as much total fruit as pears.

6A+5C=112.50
8A+4C=130

Answers

Answer:

Is there a follow-up question you forgot to add?

Step-by-step explanation:

Answer:

(C,A) = (15/2, 25/2)

Step-by-step explanation:

this seems to be this answer above !hope this helps !!!

The surface areas of the two solids shown above are equal.
O A. True
O B. False

Answers

Answer:

False

Step-by-step explanation:

If we were to flip the solid on the left so its parallel to the solid on the right, we would be able to compare the two more easier.

We can see that the right solid has dimensions of:

L = 1 cm

W = 3 cm

H = 5 cm

The left solid has dimensions of:

L = 1

W = 2

H = 7

If we were to add these all up, they would not equal.

R: 1 + 3 + 5 = 9

L: 1 + 2 + 7 = 10

The answer to this question is false

A riddle for the day
I am less than 7 tens and more than 4 tens I am a odd number if you add both my digits you will get 11 which number am I?
47
65
67
74

Answers

Answer:

two of them are possible which one is the correct

Two of them are correct i dont know

1,2,2,4,8,32,? what comes next?

Answers

Answer:

64

Step-by-step explanation:

1 x 2 = 4

4 x 2 = 8

8 x 2 = 32

32 x 2 = 64

Answer:

256

Step-by-step explanation:

1, 2, 2, 4, 8, 32

this is how the pattern works;

1*2 = 2

2*2 = 4

2*4 = 8

4*8 = 32

8 * 32 = 256  by calculator

1. How many 5-digit numbers are there for which the last digit is not a 6 or an 8, the digit 6 appears exactly once, and the number is even

Answers

Answer:

8019 possible 5 digit numbers

Step-by-step explanation:

Available number to pick from are a total of 10 which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

>> Now, let's consider when the first digit is 6 since we are told that 6 can appear only once.

For the first digit, it's only 1 way.

For the 2nd, 3rd, and 4th digit, we have 9 digits to pick from. Which is 9 ways each.

While for the 5th digit, it can't be 6 or 7. And it has to be even and so, we can pick only 0, 2, 4. Thus, we have 3 ways to choose.

So total number of ways here = 1 × 9 × 9 × 9 × 3 = 3 × 9³ ways

>> Now, let's consider when the 2nd digit is 6 since we are told that 6 can appear only once.

For the 1st digit, since 6 is not possible, and also 0 is not possible because a 5 digit number can't start with zero as it would no longer be a 5 digit number.

Thus, there are 8 ways to choose here.

For the second, third and fourth digits, there will be 9 ways each to chops.

While for the fifth digit, there will be 3 ways to choose.

Total number of ways here = 8 × 1 × 9 × 9 × 3 = 24 × 9² ways

>> When the third digit is 6, number of ways to choose will be same as above = 24 × 9² ways

>> When the fourth digit is 6, number of ways to choose will be same as above = 24 × 9² ways

We can't say none of the digits is 6 because we are told it appears exactly once.

Thus, total possible 5 digit numbers are;

(3 × 9³) + 3(24 × 9²) = 8019 possible 5 digit numbers

Emelia pays $24 to rent a boat at the lake for up to 6 hours she constructs the inequality and number line below to represent the number of hours x she can use the boat

Answers

Answer:

She has an initiall amount of 6 hours, so if T is the amount of time that passed since she rented the boat, the inequality that describes this system is:

0≤ T ≤ 6

This means that she can use the boat from 0 hours to 6 hours, here we are allowing the intermediate values because, of course, she can return the boat earlier than in the given time.

From this we have that the maximum time left that she has can be written as:

x + T = 6

so if T = 3h, meaning that 3 hours passed, she has:

X + 3 = 6

x = 6 - 3 = 3

3 hours left.

Step-by-step explanation:

Find a polynomial f(x) of degree 3 that has the following zeros. -5, 8, 2 Leave your answer in factored form

Answers

Answer:

f(x) = (x+5)(x-8)(x-2)

Step-by-step explanation:

If we know the zeros, the polynomial is of the form

f(x) = (x-a)(x-b)(x-c)  where a,b,c are the zeros

f(x) = (x - -5)(x-8)(x-2)

f(x) = (x+5)(x-8)(x-2)

Answer:

f(x) = (x + 5)(x - 8)(x - 2)

Step-by-step explanation:

Given a polynomial with zeros x = a , x = b , then the corresponding factors are

(x - a) and (x - b)

The polynomial is a product of the factors, that is

f(x) = (x - a)(x - b)

Here the zeros are x = - 5, x = 8, x = 2, then corresponding factors are

(x - (- 5)), (x - 8), (x - 2) , that is

(x + 5), (x - 8), (x - 2) and the polynomial is

f(x) = (x + 5)(x - 8)(x - 2)

Sara is planning on fully renovating her kitchen. She figures that this will cost a total of $25,750. If Sandra already has $21,400 saved up, what annual interest rate
compounded semiannually would Sara need to earn in order to have the required
funds if she invests her money for 2.5 years?

Answers

Answer:

She needs an annual interest rate of 7.54%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

She figures that this will cost a total of $25,750.

This means that [tex]A = 25750[/tex].

Sandra already has $21,400 saved up

This means that [tex]P = 21400[/tex].

Semianually compunding, 2.5 years.

This means that [tex]n = 2, t = 2.5[/tex]

What interest rate?

We have to find r. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]

[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]

[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]

[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]

[tex]1 + 0.5r = 1.0377[/tex]

[tex]0.5r = 0.0377[/tex]

[tex]r = \frac{0.0377}{0.5}[/tex]

[tex]r = 0.0754[/tex]

0.0754*100% = 7.54%

She needs an annual interest rate of 7.54%.

HELP ME PLEASE I REALLY NEED THE HELP​

Answers

Answer:

Answer = 126 square inches

Step-by-step explanation:

Square area formula is Area = s^2    (replace the s with the side length)

Square area -->  Area = 4^2       Area = 16in

Parallelogram area formula is Area = h * b (replace h with height length and replace b with base length)

Parallelogram area --> Area = 3.5 * 10     Area = 35

Rectangle area formula is Area = w * h    (replace width and height)

Rectangle area --> Area = 12.5 * 6    Area = 75

Then add them all up  75 + 35 + 16 = 126 square inches

Please answer the question

Answers

Answer:

[tex]35.33\ m^3[/tex]

Step-by-step explanation:

Given that,

Height of the cylindrical well, h = 20 m

The diameter of the well, d = 1.5 m

Radius, r = 0.75 m

We need to find the volume of the well. This will be the amount that is dug out to make a well. So,

[tex]V=\pi r^2 h\\\\V=3.14\times (0.75)^2\times 20\\\\V=35.33\ m^3[/tex]

So, [tex]35.33\ m^3[/tex] soil was dug out to make a well.

Cassie started with $48 in her savings account. She adds the same amount of money to the account each week. The table shows how much money
she has in her savings account at the end of each week shown. How much money does Cassie add to her savings account each week? Help ASAP

Answers

Answer:

I think its 12

Step-by-step explanation:

If you subtract from each its 36 but since it goes by 3 weeks you divide 36 by 3 and get 12. I am not 100% sure though.

Please solve
l = 44 cm, w = 27 cm, h = 89 cm

Answers

Answer:

160 Total

Step-by-step explanation:

105,732cm3

44x27x89= 105,732.

hope this helps <3

The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measures of the base angles.

Answers

Answer:

The base angles measure 78.46 degrees to the nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

10^2 = 10^2 + 4^2 - 2.4.10cosX     where X is a base angle.

cos X = (100 - 100 - 16)/ (-80)

cos X = -16/-80

cos X = 0.2

X = 78.463 degrees

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

30

you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total

A survey of 1,158 adults nationwide asked, "wjat irks you most about the action of othwr motorosts?" The response "tailgaters" was given by 294 people. What percent of those surveyed were most irked by tailgaters? Round to the nearest tenth of a percent.​

Answers

Answer:

25.4%

Step-by-step explanation:

Here, we are to calculate the sample proportion :

Number sampled, n = 1158

x, = number of sample irked by tailgaters = 294

Sample proportion, Phat = x / n

Phat = 294 / 1158 = 0.25388

Phat = 0.25388 * 100% = 25.388%

= 25.4%

PLEEAASEEE HHELPPPP!!!!!!! How can you use the order in which the 4 aces are arranged to pick the secretary from among 24 candidates?

Answers

Answer:

There are 24 candidates. Counting rule three states that N objects can be arranged in N! different ways. So, 4 different aces can be arranged in 4! = 24 ways, and each of the 24 candidates can be assigned a unique sequence of aces.

Step-by-step explanation:

this is the sample answer

Answer:

each 24 candidates can be assigned a certain ace

Step-by-step explanation:

i said that

Find the vertex of this quadratic!

Answers

Answer:

3,2

Step-by-step explanation:

The vertex is just the lowest or highest point of a parabola.

Answer:

(3, 2)

Step-by-step explanation:

The vertex of this quadratic is also the minimum value.  By inspection we see that the y-coordinate of the minimum is 2 and the x-coordinate is 3.  Thus, the vertex is (3, 2).

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