Mathematics High School

The distance an electric car can travel on one full charge depends on the speed of the car. The table shows the approximate distances a certain model of electric car can travel on one full charge
when moving at various constant speeds.
The speed and the corresponding distance form an arithmetic sequence, where the speed represents the number of the term and the corresponding distance represents the value of the term.
What is the distance, in miles, that the car can travel on one full charge when moving at a constant speed of 75 miles per hour (mph)?
A) 220
B250
С270
D290

The Distance An Electric Car Can Travel On One Full Charge Depends On The Speed Of The Car. The Table

Answers

Answer 1

Answer:

Distance covered by the car = 220 miles

Step-by-step explanation:

Speed (mph) (s)             Distance (miles) (d)     Difference in distances

      45                               400                                        -

      50                               370                            400 - 370 = 30

      55                               340                            370 - 340 = 30

      60                               310                             340 - 310 = 30

      65                               280                            310 - 280 = 30

Since differences between each successive term of the distances are common,

Therefore, table represents a linear function.

Let the equation representing the relation between the speed and distance is,

d = ms + c

Where m = slope of the line

And c = y-intercept

For a point (45, 400) lying on the line,

400 = 45m + c ----- (1)

Similarly, for a point (60, 310),

310 = 60m + c -------(2)

Equation (1) - equation (2)

400 - 310 = 45m - 60m

90 = -15m

m = -6

By substituting m = -6 in equation (1),

400 = 45(-6) + c

c = 400 + 270

c = 670

Therefore, equation will be,

s = -6d + 670

Now we have to calculate the distance covered by the car when moving with a constant speed of 75 mph,

d = -6(75) + 670

d = 670 - 450

d = 220 miles

Related Questions

Provide the domain and range for the following relation

Answers

Answer:
Domain [-6,4]
Range [5,-5]
hope this helped! if it’s right pls mark me brainliest <3

What is the zero of g?

Answers

is the answer negative 6???

The function g in the graph is a linear function, and the zero of the function g is -6

How to determine the zero of g?

The zero of the function g is the point where the graph of function g crosses the x-axis

From the graph, we have the following point

(x,y) = (-6,0)

Hence, the zero of the function g is -6

Read more about linear functions at:

https://brainly.com/question/14323743

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Answers

Answer:

[tex]\frac{xy^4}{5}[/tex]

Step-by-step explanation:

Step 1- The x variables cross each other out.

Step 2- y^5-y= y^4

Step 3- 15÷3= 5

Hope this helps! :)

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1.5

Y is always 1.5 times the value of x

Please HELP I DONT UNDERSTAND ?????

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Answer:

43521

Step-by-step explanation:

2a - 7d = 3d solve for a

Answers

Answer:

a=5

Step-by-step explanation:

Answer:

A=5

Step-by-step explanation:

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It’s cost Zachary$7.00 to send 140 text messages.how many text messages did he send if he spent $0.85?

Answers

So first you have to find the cost for each text message. To do that you divide the total number of texts by the total amount of money spent. So: 140/700 cents(7 dollars). The answer would be .20 per text. So .85 could buy him 4.25 texts

A certain county has a population of 34,237 people. The county hospital is interested in estimating the number of people in the county with​ blood-type A−. To do​ this, they test blood samples from 245 patients. Out of this​ group, 12 have​ blood-type A−. Use this sample to estimate the number of people in the county with​ blood-type A−.

Answers

Answer:

About 1677 people in the county will have blood-type A−.

Step-by-step explanation:

From the question, 12 out of 245 patients have blood-type A−.

To estimate the number of people in the county which has a population of 34,237 people with blood-type A−, we will assume that for every 245 people out of the 34,237 people, 12 of them have blood-type A−.

Let the number of people with blood-type A− in the county be x.

Now,

If 12 people out of 245 people have blood-type A−

Then, x people out of 34237 people will have blood-type A−

245 × x = 34237 × 12

245x = 410844

x = 410844/245

x = 1676.9

x ≅ 1677

Hence, about 1677 people in the county will have blood-type A−.

Can someone please find the rate of change ? I WILL LOVE YOU FOREVER , LITERALLY

Answers

Answer:

The rate of change is -6

<3

Step-by-step explanation:

Oh that’s easy the answer is -6 just subtract six from all the answers and then you’ll get the corresponding answer below it

is negative 19 a natural number​

Answers

Answer:

No, -19 is not a natural number.

Step-by-step explanation:

A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc. Natural numbers are also called "counting numbers" because they are used for counting.

Answer:

The natural numbers (or counting numbers) are the fundamental mathematical set on which all other arithmetic is based. They do not include negative numbers. (The set of integers provides negative numbers.)

Step-by-step explanation:

hope this helps : )

Two number cubes are tossed.
What is P(4, 6)?

Answers

The answer is (12.56, 18.84) because 3.14*4 and 3.14*6

If you answer all three I will give brainliest. Plz label with 1, 2, and 3.

Answers

Answer:

Here are the graphs

Step-by-step explanation:

1. Green Line

2. Purple Line

3. Red Line

What is the rate of change (slope, m) for the table below?

Answers

Answer:

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Step-by-step explanation:

Change in y over change in x

Find the equation of the line shown above.

Answers

Answer:

y = x + 6

Step-by-step explanation:

The equation for a line in y-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The slope of the line shown is 1/1 (which simplifies to 1).

The y-intercept is 6.

You would write the equation as y = x + 6.

I need a good teammate on vanis.io its like agar.io but its not must use my clan tag ༺קØƤ༻ please help!!

Answers

bet i will join when im done with my quiz

The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:

$0.50, $0.65, $0.80, $0.95, $1.10, ...

Which equation represents Marisa’s library fine as a function of a book that is n days overdue?

Answers

Answer:

x + $0.15

Explanation:

If you see well $0.15 + $0.50 = $0.65

and then $0.65 + $0.15 = $0.80

Answer:

f(n) = 0.15n + 0.35

Step-by-step explanation:

Which one of these relationships is different than the other three?

Answers

Answer:

A

Step-by-step explanation:

I am so very cunfussed and it is 2 am were i am at and it would be very nice if someone could anwser this for me

Answers

Answer: 5 spaces, -10, 10

Step-by-step explanation: there are 2 sets of -5 at the top so you say 2 sets of 5 and 2 x -5 is -10. The opposite of neg is pos so positive 10.

You rent bowling shoes for $4, and it costs $2.50 to bowl
each game. Write a linear equation to model this situation.

Answers

y=2.5x+4

You can pay for multiple games but you only pay for shoes once, meaning shoes are b in this equation and each game is m

Answer:

y=2.5x+4

Step-by-step explanation:

that your answer

rate and hit that thank button

A televison that regularly sells for $749 is

marked down 15%. After it doesn’t sell, it is

reduced another 20% from the sale price. What

is the total savings from the original price?

Answers

Answer:

$239.68 or 32%

Step-by-step explanation:

749÷100=7.49   7.49×85=636.65

636.65÷100=6.3665

6.3665×80=509.32

cost after both reductions= $509.32

749-509.32=239.68

total savings =$239.68 or 32%

What number is greater than 4.353 but less than 4.47 ?

Answers

Answer:

4.36 to 4.46

good luck buddy

which of the following should be set equal to (x+y) (x²-xy+y²) to form an identity

A) x³+y³
B) x³-3xy+y³
C) x³-y³
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Answers

Answer:

A)  x³+y³

Step-by-step explanation:

brynne simplifies an equation and gets 2=3. what does this tell you about the equation

Answers

Answer:

That it has no solution. If you could have gotten 2=2 or 3=3 it would have a solution

Step-by-step explanation:

Answer:

The equation is not equal. Therefore, it is not an equation. However, things will be different if the equation was based on a coordinate plane. If it was based on a coordinate, the equation could have been: y=x-1

Step-by-step explanation:

Let U be the set of cities in the U.S., A be the set of cities with a professional sports team, and B be the set of cities with a symphony

(3) Describe the complement of A

(4) Describe the union of A and B

(5) Describe the intersection of A and B

Answers

Answer:

 A', is the set of all elements in the given universal set U .

But the union of sets is an operation performed on two sets, say A and B, which results in a set that has all elements belonging either to set A and set B or both. The operand of union of set is given by '∪'. You can see, U is also a set which collectively shows all the elements of A, B and of itself.

Please if it's wrong then tell me no need of marking as a brainist if it's a wrong .Please if it's wrong then tell me no need of marking as a brainist if it's a wrong .if it's correct having no doubt in this answer then you can mark me as a brainist and follow me any doubt ask me I am ready for it.

5+ (-8)n = 29.

What are the steps ? What does n equal ?

ASAP please and thank you (10 points)

Answers

Answer

n = -3

Step-by-step explanation:

5 + (-8)n = 29

Subtract 5 from both sides

-8n = 24

Divide -8 from both sides

n = -3

Hope this helps and let me know if you need me to go into further detail :)

Answer:

n = -3  :)

Step-by-step explanation:

5 + (-8)n = 29

-5              -5

-------------------

      -8n=24

      ----   ----

      -8    -8

 n = -3


What is the sum of
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B.
29
5
O C.
0
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Answers

Answer:

D

Step-by-step explanation:

               

a city has 8984 recycle bins the city gives half of the recycle bins to its citizens the rest of the recycle bins are divided into 25 groups for city parks .How many recycle bins are left over?​

Answers

Answer:

7867867867878678

Step-by-step explanation:

uyityuityuituityuityuityui

Which expression is equivalent to a^m divided by a^n

Answers

Answer:

a^m-n

Step-by-step explanation:

You subtract powers when it is a divide

PLS HELP HURRY ILL MAKE AS BRAINLESS WAHST THE ANSWER TO THESE 2 QUESTIONS

Answers

Answer:

all you have to do is use a calulater i dont remember how to do that sorry

Step-by-step explanation:

Answer:

868.5 cm²

Step-by-step explanation:

convert 450 mm to cm.

45

calculate

45 × 38.6

1737

then divide by 2 because this is a triangle.

1737 ÷ 2

868.5

The area of this figure is 868.5cm²

Hope this helps!

Have a nice day!

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a principle of $8000 is invested in an account paying an annual percentage of 5%

Answers

The answer would be $400 if your trying to know what 5% is in 8000.
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