A research student recorded the distance traveled by a car for every gallon of gasoline used. He recorded the results in the table. Write a linear equation for the distance, traveled, d miles in terms of the amount, of gasoline used, g gallons.

Answers

Answer 1

Answer:

g

Step-by-step explanation:


Related Questions

Reflect the figure over the line y = -1/2x +1.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The line of reflection has a slope of -1/2, so each image point will be on a line of slope 2 through the corresponding pre-image point. It may be easiest to count the grid squares between the pre-image point and the line, then again from the line to the location of the image point. Those distances will be the same.

The reflected image is shown in the first attachment.

__

If you want to do this algebraically, the formulas for finding the reflected points are given in the second attachment. For the given line, these become ...

  (x, y) ⇒ (4/5 + 3/5x -4/5y, 8/5 - 4/5x - 3/5y)

Example:

  C(-3, -5) ⇒ ((4 +3(-3) -4(-5))/5, (8 -4(-3) -3(-5))/5) = (15/5, 35/5) = C'(3, 7)

Find the domain of the function. g(x)=√2+x Write your answer using interval notation.

Answers

Answer:

2+x=O

x= -2

x€ Real number [-2+ infinite )

Answer:

[tex]x\geq -2[/tex]

Step-by-step explanation:

[tex]g(x)=\sqrt{2+x}[/tex]

We know we can only take the square root of a number greater than or equal to 0.

[tex]2+x\geq 0\\x\geq -2[/tex]

identify two factors that have a product of 1 7/8​

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The answer will be 17 & 8

Please help me and explain this.

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You are supposed to answer where the function, h(x), is decreasing. In other words, where is “y” decreasing.

In this graph, I believe it would be from (-3,4)U(8,infinity). I hope this helps.

A meal at a restaurant cost $34.50, before tip. You decide to leave the server an 18% tip. What is your total bill?

Answers

the tip is $6.21

with that being said, 34.50 + 6.21 = 40.71

the total cost is $40.71

Part B: What length of rope would enable the goat to eat 30 square yards of
grass? Show all your reasoning.
omg pls help
me

Answers

Refer to question: https://brainly.com/question/18999872

Answer:

9.42 yd²3.57 yd

Step-by-step explanation:

Part A

The area of circle with radius of 2 yd (the length of the rope) is:

A = π*r² = 3.14*2² = 12.56 yd²

Since 1/4 of the circle is occupied by the shed, the area of the grass is:

12.56*3/4 = 9.42 yd²

Part B

Let the area be 30 yd², finding the r as per above formula:

3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd

the number of successes and the sample size are given for a simple random sample from a population. determine the sample proportion for x

Answers

Complete Question

The number of successes and the sample size for a simple random sample from a population are given below. x-4, n 200, [tex]H_o[/tex]: p- 0.01, Ha p>0.01, a 0.05 . determine the sample proportion of x

Answer:

The sample proportion of x is  [tex]\^ p = 0.02[/tex]

Step-by-step explanation:

From the question we are told that

    The number of success is  x = 4

    The sample size is  n  =  200

    The null hypothesis is [tex]H_o : p = 0.01[/tex]

     The alternative hypothesis is  [tex]H_a : p > 0.01[/tex]

      The level of significance is  [tex]\alpha = 0.05[/tex]

Generally the sample proportion of x is mathematically represented as

      [tex]\^ p = \frac{x}{n}[/tex]

=>   [tex]\^ p = \frac{4}{200}[/tex]

=>   [tex]\^ p = 0.02[/tex]

If the income of the consumer increases, the budget constraint line will shift:
a.
away from the origin, but its slope will remain the same
b.
away from the origin, and its slope will become steeper
c.
toward the origin, but its slope will remain the same
d.
toward the origin, and its slope will become steeper

Answers

Answer:

b

Step-by-step explanation:

this is for the 20 characters thing

(-4)100x(-4)20 answer in exponential form please ​

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Answer:

the answer is (-4)^120

workout the value of (10^4)^2

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Answer: the answer is 100000000

Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000

Answer is : 100000000

How do I know if the triangles are simulat

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Answer:

triangles are not similar because all angles of similar triangle's are equal but in the given figure one angle's are equal but other are not equal

Step-by-step explanation:

Scores on a standard IQ test are normally distributed with a mean of 100 and a standard deviation of 15. To the nearest integer value, how high must you IQ be to fall within the top 5% of scores.

Answers

Answer:

25

Step-by-step explanation:

because I go it wrong and the quiz told me the answer was 25. Pog. I am just as confused.

Find the number of miles per hour in each of the following cases,
100 miles per hour 200 miles per hour 900 miles per hour
000 miles in 9 hours
9000 miles in 00 hours
100 miles in 5 hours

Answers

100 miles

100 miles

100 miles

100 miles 100 miles

100 miles ok?

On a map, 12 inch represents 45 mile.

What distance on the map represents 1 mile?


​ 25 ​ in.

​ 58 ​ in.

​ 135 ​ in.

​​ 212 ​ in.


I'll give brainlyest.

Answers

Answer:  5/8 inch represents 1 mile

Step-by-step explanation:

to get 1, multiply 4/5 by its reciprocal, 5/4

Then multiply 1/2 by 5/4

1/2 × 5/4 = 5/8

Answer: The correct answer is 5/8

Step-by-step explanation: Answer verified as correct on test

There is a playground behind Jayden’s school where kids go outside for recess. The playground is 85 feet wide and 236 feet long. Jayden is curious if the playground has an area of more or less than 20,000 square feet. Does it? Show and explain how you know.

Answers

Answer:

Yes

Step-by-step explanation:

A = L x W

A = 236 x 85

A = 20,060

20,060 is more than 20,000 so yes

Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Consider the line y=5x -3

Answers

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y=5x-3[/tex]

The general form of equation of line in slope-intercept form is written as:

[tex]y = mx+b[/tex]

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

[tex]y = m_1x+b[/tex]

[tex]y=5x+b[/tex]

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

[tex]-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37[/tex]

Putting the value of b and m1, we get

[tex]y = 5x+37[/tex]

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

Write the equation in standard form using integers
y= -4/5x -6

Answers

Answer:

3x+5y=10 hope this helped !!

Helppppppp
I need to find the area for this

Answers

Answer:

126

Step-by-step explanation:

70+56

What is the least common denominator of 5/6 and 3/8?​

Answers

Answer:

Step-by-step explanation:

5/6 and 3/8  LCD is 24

A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/6, and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?

Answers

Answer:

0.533 miles/min

Step-by-step explanation:

Calculate how fast  the balloon is rising at the moment : dy /dt

location from the lift-off point = 4 miles

angle between the observer's line-of-sight and the horizontal ( ∅ )  = [tex]\frac{\pi }{6}[/tex]

d∅ / dt = 0.1 rad/min

tan ∅ = y / 4

derivate

sec^2 ∅ . d∅ / dt  = 1/4 . dy/dt

= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt

= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt

dy/dt = 8 / 15  miles/min

Please please help me get the anwser I just want the anwser I got a 33.3 on my last attempt and this is my last please :( I will literally give you 87 points I need help ASAP please I set it to 87 points please take Time and anwser correctly or I will report please :( I only have 11/6/2020

Answers

Answer: A

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are the finalists in the fabulous Clearers’ Publishinghouse sweepstakes.

Two prizes will be awarded: the Grand Prize and the Even Grander Prize. The prizewinners will be randomly selected (and it is possible that one person may win both prizes).

How many outcomes are possible?

Answers

Answer:

ADGTSGADADASDAWDSDWA

Step-by-step explanation:

AADASDWADS

Please graph this and if you do I'll give you brainliest (If you just say deijos or not enough info I will report and you may get banned *You have been warned* Please help though if you can.

Answers

Answer:

[tex]use \: the \: following \: ponts \: to \: graph \\ \: the \: equation \to \\ \underline{\boxed{( - 1, \: - 9)...... \boxed{is \: the \: first \: point}}} \\ \underline{\boxed{( 1, \: 0)...... \boxed{is \: the \: second \: point}}} \\ \underline{\boxed{(2, \: 4)...... \boxed{is \: the \: third \: point}}} [/tex]

Step-by-step explanation:

[tex]when \: \boxed{f(x) = 3x - 5} : \: if \: \boxed{x \leqslant - 1} \\then \to \: \boxed{x = - 1} \\ f(x) = 3( - 1) - 5 \\ f(x) = - 4 - 5 \\ f(x) = - 9 \: ......... \: hence \to \\ \underline{\boxed{( - 1, \: - 9)...... \boxed{is \: the \: first \: point}}} \\. \\ . \\ . \\ when \: \boxed{f(x) = - 2x + 3} : \: if \: \boxed{ - 1 < x < 4} \\then \to \: \boxed{x = 1} \\ f(x) = - 2( 1) + 3 \\ f(x) = - 3 + 3 \\ f(x) = 0 \: ......... \: hence \to \\ \underline{\boxed{( 1, \: 0)...... \boxed{is \: the \: second \: point}}} \\ . \\ . \\ . \\ when \: \boxed{f(x) = 2 } : \: if \: \boxed{ \geqslant 4} \\then \to \: \boxed{x = 4} \\ f(x) = 2 \: ......... \: hence \to \\ \underline{\boxed{(2, \: 4)...... \boxed{is \: the \: third \: point}}} [/tex]

Write the slope intercept form of the equation of the line through the given point plz

Answers

I think it’s y=8x-13

1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
a. Identify the coordinates of the x- and y- intercepts for the depreciation equation.
b. Determine the slope of the depreciation.
c. Write the straight-line depreciation equation that models this situation.

Answers

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. [tex]m = -\frac{23350}{13}[/tex]

c. [tex]y = -\frac{23350}{13}x + 23350[/tex]

Step-by-step explanation:

Given

[tex]Years = 13[/tex]

[tex]Total\ depreciation = \$23350[/tex]

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

[tex]m = \frac{23350}{13}[/tex]

Because it is depreciation, it means the slope represents a deduction.

So,

[tex]m = -\frac{23350}{13}[/tex]

Solving (c): The straight line equation

The general format of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

In (a), we have that:

[tex]y\ intercept = 23350[/tex]

In (b), we have that:

[tex]Slope\ (m) = -\frac{23350}{13}[/tex]

Substitute these values in [tex]y = mx + b[/tex]

[tex]y = -\frac{23350}{13}x + 23350[/tex]

Hence, the depreciation equation is: [tex]y = -\frac{23350}{13}x + 23350[/tex]

A music store has 1,440 CDs. Each CD rack holds 90 CDs. How many racks does the store need to use to hold all the CDs?

Answers

Answer:

16 cd racks

Step-by-step explanation:

1,440%90

What is 1.3*10^4 in standard notation
A. 1.3^4
B. 13,000
C. 0.00013
D. 1300

Answers

Answer:

13000

Step-by-step explanation:

If you go 4 steps forward at first, it is 13. Add three zeros and then it is at 10^4 and 13000

One zero added is one power in scientific notation

Answer:

C. 13,000

Step-by-step explanation:

You do 10x10x10x10 and get 10,000 and then multiply that by 1.3 or move the decimal point do the right 4 times for the 4 zeros

The cougars baseball team played 16 games last year and won 12 of them. They are scheduled to play 28 games. If they end up winning the same percentage,how many games will they win? Pls help ASAP!!

Answers

21 games
12/16=.75
21/28=.75

Which of the following fractions is closest to
5/8

2/3
13/20
11/16

Answers

The closest fraction to 5/8 is 11/16

ILL GIVE BRAINLIEST FOR BEST AWNSER!!!
A football player kicks a ball with a force of 50 N
How does the impulse above change if he doubles the amount of time that his foot is in contact with the ball?

Answers

Answer: AP= 30 kgm/s c) Calculate the final velocity of the object, if it was initially at rest. A 0.5kg baseball experiences a 10N force for a duration of 0.1s.

Step-by-step explanation:

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