The fuel capacity of a popular hybrid car is 11.9 gallons. The function for this situation is f(x) = -0.02x + 11.9, where x represents miles and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?​

Answers

Answer 1

Answer:

-0.02 gallons per mile

Step-by-step explanation:

You're in luck. The fuel consumption of the car is linear, and the slope - ie, the coefficent of the x term gives you the rate of change. In this case, it's -0.02 gallons per mile.


Related Questions

Please help me solve this

Answers

its also 100° because both lines are parallel , and the line crosses at the same point in them

how many solutions does  3x+9=25x+14 have?

Answers

Answer:

one solution

Step-by-step explanation:

3x + 9 = 25x + 14

-3x         -3x

9 = 22x + 14

-14         - 14

-5 = 22x

Help is appreciated ty!!

Answers

Answer:

B and C

Step-by-step explanation:

Jane found multiples of 8 instead of factors and should've gotten 1, 2, 4, and 8 as her answer.

Hope this helps :)

Answer:

B& C

Step-by-step explanation:

hope it helps

Clare finds an expression for S(r) that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in
terms of its radius r in centimeters. This is the graph Clare gets if she allows r to take on any value between 1.2 and 3.

Answers

The function that gives the surface area has the radius as a denominator.

The values r can take are; 0.1, 1, 2, and 3

Reasons:

The given parameter are;

The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)

The function is used to plot the graph

The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3

The graph of a similar function representing the surface area is attached;

[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]

From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)

Therefore, Claire should use the a domain that gives a continuous graph,

given that r is a denominator of the function, by allowing the radius, r to

take on only natural number values (values larger than 0)

The domain is therefore; 0 < r < ∞

The values r can take should therefore be 0.1, 1, 2, and 3

Learn more about asymptotes here:

https://brainly.com/question/17257427

what should be included in your financial plan to protect assets

Answers

Answer:

A trust could protect them. Buying liability insurance or an umbrella policy will also help protect assets in case you get sued.

Step-by-step explanation:

In a group of students, 50% like tea, 70% like coffee, 10% don't like both and 120 like both. By using Venn diagram, find the total number of students.​

Answers

Answer:

Since 10% like neither, then 90% must like tea(T), coffee(C) or both(B). So what % like both? That % would have to be deducted from both the tea and coffee likers to arrive at tea only (TO), coffee only (CO) and those liking both and the three would have to sum to 90%, since 10% like neither. So whatever % the 120 represents it must be deducted from both the tea and coffee likers. I don’t know how to add graphics but in equation form

50-x + 70-x + x + 10 = 100, 130-x = 100, -x = -30, X = 30%,

120/30% = 400, 50%(T)-30%(B)=20%(TO) or 80, 70%-30%=40% or 160, 30% or 120, and 10% or 40

80+160+120+40=400

Answer:

Step-by-step explanation:

  50%        70%                 10%

like tea    like coffee      don't like both

100%-10% =90%

                   like coffee,tea or both

   50%  +   70%         =120%  -   90%   =   30%

like tea + like coffee  =          -           =    like both

LIKE BOTH           30%=`120

means 1%=4

100%=400

Write a system of equations for the following situation. There are a total of 35 questions on a test. Some questions are multiple choice and some are short answers. The multiple choice questions are worth 2 points and the short answer questions are worth 5 points. There are a total of 100 points on the test.​

Answers

Answer:

m + s = 352m + 5s = 100

Step-by-step explanation:

There are a total of 35 questions on a test:

m + s = 35

Points from multiple choice answers = 2m

Points from short answers = 5s

There are a total of 100 points on the test:

2m + 5s = 100
Pens be mPencils be s

The condition is

There are total 35pens to buy.

[tex]\\ \sf\longmapsto m+s=35[/tex]

Each pen costs 2$Each pencil costs 5$You have 100$

[tex]\\ \sf\longmapsto 2m+5s=100[/tex]

100 points if u get this right ty have a nice day !

Answers

Answer:

its 32 yards if I'm correct

Step-by-step explanation:

I'm not for sure but I remember doing something like this

find the least length of a rod which can be cut into exactly epual strips,each of either 36cm or 42cm in length​

Answers

Step-by-step explanation:

so, we need to find the smallest common multiple of 36 and 42.

that is the smallest number I can divide both by 36 and 42 without remain.

let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :

36 / 2 = 18

18 / 2 = 9

9 / 3 = 3

3 / 3 = 1 finished

therefore,

36 = 2×2×3×3

42 / 2 = 21

21 / 3 = 7

7 / 5 does not work

7 / 7 = 1 finished

therefore,

42 = 2×3×7

to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.

and we see 2 times 2, 2 times 3 and 1 time 7.

so, the SCM = 2×2×3×3×7 = 252.

there is no smaller number that can be divided by both 36 and 42 without remain.

so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).

What is the slope of the line y=5-4x ?
Show your work

Answers

Answer:

-4

Step-by-step explanation:

The equation is in slope-intercept format, y=mx+b. The coefficient in front of the x is the slope as represented by the letter m.

Answer:

Slope = -4

Step-by-step explanation:

The slope can be identified by looking at the coefficient next to the variable, x. In this instance, the coefficient is -4. Therefore, the slope is -4.

In chemistry class, Bob recorded the volume of a liquid as 16.1 mL The acual volume was 15.5 mL. Use the formula to find percent error of Bobs measurement to the nearest tenth of a percent

Answers

Answer:

3.9% is the rounded version

Step-by-step explanation:

Answer:

37.0%

Step-by-step explanation:

thanks pi sa points uwu (^^)

godblesss

Find the circumference and the area of a circle with diameter 6 yd.
Use the value 3.14 for T, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

area = 28.27433

Circumference = 18.84956

Step-by-step explanation:

I hope that this helps!!

solve the inequality 4x-3=2x+7

Answers

Answer: x=-2

Step-by-step explanation:

Add three to both sides of the equation

4x-3=2x+7

4−3+3=2−7+3

simplify

4=2−4

4−2=2x-4−2

simplify

2=−4

Divide both sides of the equation by the same term

2=−4

2/2=−4/2

=−2

Answer: x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.x=5

Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?

PLZ PLZ PLZ explain step by step.​

Answers

First find how many students are sick the second year:
0.20 × 120 = 24
Then all you need to do is subtract:
120 - 24 = 96
So the number of students that got sick this year is:
96 students

Each container on a cargo ship holds 60 boxes of furniture.
Which table shows the values for 60c, the number of boxes
in c containers?
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 300 360
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 280 320
B.
4
5
6
Number of Containers, C
Number of Boxes, 60C
240 350 460
C

Answers

Answer:

imagine cheating on your star assessment but same tho the answer is c

Step-by-step explanation:

because i solved it on paper

Answer:

Step-by-step explanation:

C

Sarah pays $48.00 each month to keep her house insured. If her house is valued at $223,050, about how much is Sarah paying per $100 in homeowners insurance annually? a. $0.13 b. $0.26 c. $1.55 d. $3.09

Answers

Answer:

The answer is B, $0.26

Step-by-step explanation:

$48 * 12 =$576

- 12 months in a year

$223,050 / $100 =$2230.50

$576 / $2230.50 =$0.26

expand and simplify 4(x+3)+4(x+5)

Answers

Answer : 8x + 32

Explanation: you would distribute the 4 to the x and the 3 which would get you 4x + 12 +4(x+5) then u would distribute the other 4 to the x and 5 which would then get u to 4x + 12 + 4x + 20 then u would combine like terms so 4x + 4x and 12 + 20 and that would get you to 8x + 32

please tell me what is -9d×2-d×2

Answers

Answer:

I believe it's (2d - 1) • (d + 2)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   2 • -2 = -4

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   3 .

     -4    +    1    =    -3

     -2    +    2    =    0

     -1    +    4    =    3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  4

                    2d2 - 1d + 4d - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   d • (2d-1)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2d-1)

Step-5 : Add up the four terms of step 4 :

                   (d+2)  •  (2d-1)

            Which is the desired factorization

Answer -  (2d - 1) • (d + 2)

Answer:

-20d

Step-by-step explanation:

please tell me what is -9d×2-d×2

-9d×2-d×2

-18d -2d

-20d

Represent the following expressions as a power of the number a where a≠0 a^2*(a^4)^3÷a^13
100 POINTS NOW

Answers

Answer:

a

Step-by-step explanation:

[tex]a^2*(a^4)^3:a^{13}=[/tex][tex]a^2*(a^4)^3:a^{13}=\\a^{2 + 4*3-13}=[/tex][tex]a^{14-13}=[/tex][tex]a[/tex]

Answer:

the answer is just a

Step-by-step explanation:

Help me help help help help help

Answers

Answer:

d) 500 scoops

Step-by-step explanation:

looking at the trend of scoops sold per year, 500 seems to be the correct answer. let me know if this is wrong.

Answer:

D

Step-by-step explanation:

Since each 2 years it goes up. A and B is incorerect. The answer has to be 402-597 so the only logically asnwer is D

pls tell if this helps

What is (-1/2) in mathematics

Answers

Answer: One half is the irreducible fraction resulting from dividing one by two (2) or the fraction ... One half often appears in mathematical equations, recipes, measurements

Step-by-step explanation: For example, if you wish to halve the fraction 5/7, write “* 2” beside the denominator “7.” There is no operation to perform to the numerator. Multiply the denominator by 2 to halve the fraction. Using the same example, 7 * 2 = 14. This means that half of 5/7 is 5/14.

what is the approximate area of a circle with a radius of 11m?

Answers

The answer to this is that the area≈380.13

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total  $26,780 . The variable costs will be  $9  per book. The publisher will sell the finished product to bookstores at a price of  $22  per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales? ​

Answers

Answer: 2,435

Step-by-step explanation:

trust

All percents can be written as a fraction out of ______________.

Answers

All percents can be written as a fraction out of 100

Answer:

All percent's can be written as a fraction out of 100.

Step-by-step explanation:

Percent's are usually percent's out of 100, so if you had 63%, it would be 63% out of 100, so your answer is 100

How to find number of combinations.

Answers

Answer: Remember, the formula to calculate combinations is nCr = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.

Step-by-step explanation:

What is magnitude in maths ?

Answers

Answer:

In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.

the answer is B:
I just did the question

Answers

the answer is B: thanks

Answer:

huh? did you mean to send in tgis as a question or something???

find the limiting value using L hospital​

Answers

Answer:

  -1

Step-by-step explanation:

The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.

  d(log(x))/dx = 1/(x·ln(10))

  d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))

Then the ratio of these derivatives is ...

  lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x

__

At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.

  d(-sin(x)cos(x))/dx = -cos(2x)

  dx/dx = 1

so the limit is ...

  lim = -cos(2x)/1

  lim = -1 when evaluated at x=0.

_____

I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.

Quadratic Transformation Worksheet Nam Write the quadratic equation,
1. y = (x - 2)2 + 0 ​

Answers

M-ental

A-buse

T-o

H-umans

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Question 4 of 30
Find the domain of the graphed function.

Answers

Answer:

A is the answer

Step-by-step explanation:

Other Questions
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