Isaac keeps track of the miles per gallon his car gets per week. He has accumulated the following data:

(1, 24), (2, 24.48), (3, 24.97), (4, 25.47)

What is the common difference or ratio?

The common difference is 0.48.

The common difference is 0.50.

The common ratio is 0.98.

The common ratio is 1.02.​

Answers

Answer 1
Answer:
The common ratio is 1.02
Step-by-step explanation:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
From data the differences between two consecutive terms are:
24.48 - 24 = 0.48
24.97 - 24.48 = 0.49
25.47 - 24.97 = 0.5
Then, there is no common difference and the sequence is not arithmetic.
From data the ratio between two consecutive terms terms are:
24.48/24 = 1.02
24.97/24.48 = 1.02
25.47/24.97 = 1.02
Then, the common ratio is 1.02 and the sequence is a geometric one.

Related Questions

What is the domain of f(x)=3^x
A. All real numbers greater than 3
B. All real numbers greater than or equal to 3
C. All nonnegative real numbers
D. All real numbers

Answers

Answer:

i think the answer is a. but not for sure

This is 8th grade math 5y+2×5h=4h Solve for h

Answers

Answer:

h= −5/6y (negative 5 y over 6)

Step-by-step explanation:

5y+(2)(5)h=4h

Step 1: Add -4h to both sides.

10h+5y+−4h=4h+−4h

6h+5y=0

Step 2: Add -5y to both sides.

6h+5y+−5y=0+−5y

6h=−5y

Step 3: Divide both sides by 6.

6h/6=−5y/6

h=−5/6y

Answer:

h = - 5y/ 6

Step-by-step explanation:

5y + 2 * 5h = 4h

Using BODMAS

Perform multiplication first

5y + 10h = 4h

Collect like terms

5y = 4h - 10h

5y = - 6h

Divide both sides by - 6

5y / - 6 = - 6h / - 6

h = - 5y/ 6

Solution is (-3,7), what are the linear equations

Answers

Answer:

[tex]y=2x-1[/tex]

Step-by-step explanation:

From the question we are told that

equation has a solution (-3,7)

Generally which means solution pass this point

Mathematically solving for slope and intercept

     [tex]y=mx +b[/tex]

     [tex]7=m(3) +b[/tex]

     [tex]b=7-3m[/tex]

Generally we assume a slope as slope intercept pair a numerous

     [tex]m=2[/tex]

Mathematically solving

     [tex]b=7-3m[/tex]

     [tex]b =7-3(2)[/tex]

     [tex]b =1[/tex]

Giving the equation to be

     [tex]y=2x-1[/tex]

Liam puts $800 in a savings account at an annual interest rate of 2%. If Liam does not withdraw or deposit any money, what is the interest that Liam will earn at the end of six months?

Answers

Answer:

$8

Step-by-step explanation:

Select the ratio that is equivalent to the ratio 5 to 9.

25 to 9
5 to 45
10 to 36
25 to 45

Answers

The answer is 5 to 45

Can two angles be both complementary and vertical? If so, can you determine the angles? Explain how you know.

Answers

Answer:

Complementary angles are those that sum up to 90o.Vertical angles have equal measures. Therefore, if vertical angles measure 45o each, they are complementary.

Explanation: Here how it might look if angles ∠1 and ∠3 are measured at 45o.

It distance Runner is running an 18 mile race so far she has her own 43% of the race would be the best way to estimate the number of miles around her as run so far by the 40% of 10 to 40% of 25 50% of 10 and 50% of 20

Answers

Answer:

40% of 10

Step-by-step explanation:

I believe the answer would be 40% of 10.

Hope this helps, if so please mark the brainliest, peace and love

Answer:

50%

Step-by-step explanation:

The more it was showed so its like 50%.

-. The 7th grade enrollment went from 400 to 300 students last year. What was the percent of
decrease?

Answers

Answer:  C) 25%

=========================================

Work Shown:

A = old value = 400

B = new value = 300

C = percent change

C = [(B-A)/A]*100%

C = [(300-400)/400]*100%

C = (-100/400)*100%

C = (-0.25)*100%

C = -25%

The negative value of C means we have a percent decrease. Specifically we have a 25% decrease.

---------

We can see that by saying:

25% of 400 = 0.25*400 = 100

400 - (25% of 400) = 400 - 100 = 300

The oranginal question was order these fractions from least to greatset:

11/16
5/4
3/6
1.1
5/8

but these are the decimals when i convert the fractions :

11/16: 1.0625
5/4: 1.25
3/6: 0.5
1.1: 0.011
5/8: 0.625

Answers

Answer:

0.011, 0.5, 0.625, 1.0625, 1.25

Step-by-step explanation

Someone help ill mark brainless

Answers

It’s B, because 0.9 x 25 - 4.5 = 18

Answer:

b) 18

Step-by-step explanation:

Plug in 25 for x in the equation.

ie: y=.9(25)-4.5

Then solve using a calculator.

The answer should be 18

What is equivalent to (x-6)^2

Answers

Answer:

x-36 is equivalent

Step-by-step explanation:

Answer:

answer is in photo

Step-by-step explanation:

Sheryl has a Christmas lighting project. She is going
to put lights around the outside of 15 windows with
a height of 4ft and a width of 2ft. She also wants to
put lights around her 3 garage doors that are 9 feet
tall and 9 feet wide. How many feet of christmas
lights would be needed for this project?
And 288ft says it’s incorrect

Answers

Answer:

If hanging Christmas lights around the garage door is on your holiday to do list, make sure to do it right. Decorating shouldn't be a once-a-year activity that does permanent damage to your home or your body.

When it comes to hanging holiday lights around your garage door, use clips and hooks specifically designed for the task. Avoid using metal fasteners like staples or nails if you are attaching lights directly to the trim; the metal can damage the wiring and create a fire or electrocution hazard. Instead, clip the plastic fasteners to the light string and attach the plastic fasteners to your trim. This way the clips can remain throughout the year, and lights are more easy to hang in the holidays to come.

For the vertical runs, find the trim clips that wrap around the light string and hold it into place (this is particularly important for our Sioux City and Yankton breezes and blizzards). Aim for a clip every 12 inches or so. Some homeowners choose to nail the clips for stability; others use a removable adhesive.

If you are continuing to light up your house with lights around your roof and gutter lines, there are other items that can help make this process easier. Roof and gutter clips can be pressed directly onto the home's exterior; they typically have a hook at the bottom that grabs the light string. Please be very careful when working on high and precarious locations!

Answer:261

Step-by-step explanation:i don’t rlly know how to explain

last week apples were on sale for 1.60 a pound. how much wound 4 1/2 pounds of apple cost

A. 4.50
B. 6.10
C. 7.02
D. 7.20

Answers

Answer:

Your answer would be D.

Step-by-step explanation:

D, because if we times the cost of one pound of apple by the number of pounds we have then getting the product we will have $7.20

the sum of third and seventh terms of an AP is 20 . Find the sum of the first nine ​

Answers

Given:

The sum of third and seventh terms of an AP is 20.

To find:

The sum of the first nine ​ terms.

Solution:

We have, the sum of third and seventh terms of an AP is 20.

[tex]a_3+a_7=20[/tex]        ...(i)

nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

where, a is first term and d is common difference.

[tex]a_3=a+(3-1)d[/tex]

[tex]a_3=a+2d[/tex]       ...(ii)

[tex]a_7=a+(7-1)d[/tex]

[tex]a_7=a+6d[/tex]       ...(iii)

Using (i), (ii) and (iii), we get

[tex](a+2d)+(a+6d)=20[/tex]

[tex]2a+8d=20[/tex]         ...(iv)

Now, the sum of first n terms of an AP is

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Put n=9 to find the sum of first 9 terms of an AP.

[tex]S_n=\dfrac{9}{2}[2a+(9-1)d][/tex]

[tex]S_n=\dfrac{9}{2}[2a+8d][/tex]

[tex]S_n=\dfrac{9}{2}[20][/tex]           [Using (iv)]

[tex]S_n=\dfrac{180}{2}[/tex]

[tex]S_n=90[/tex]

Therefore, the sum of the first 9 terms is 90.

Solve the system of linear equations by graphing.
y=-4x+3
4x-2y=6

Answers

Answer:

x=1, y= -1

Step-by-step explanation:

Substituting equation 1 in equation 2, we get:

4x-2(-4x+3)=6
4x+8x-6=6
4x+8x=6+6
12x=12
x=1

Replace x=1 in equation 1, we get:

y = -4(1)+3
y = -4+3
y=-1

Carol took a math test and answered 16 of the 20 questions correctly. What was Carol's percentage score on the test.

Answers

Answer:

80%

Step-by-step explanation:

Calculation for what was Carol's percentage score on the test

Using this formula

Percentage score on the test=Answered questions/Numbers of questions *100

Let plug in the formula

Percentage score on the test=16/20*100

Percentage score on the test=0.80*100

Percentage score on the test=80%

Therefore Carol's percentage score on the test will be 80%

Which binomial is a factor of 9x2 – 64?

3x – 8
9x – 32
3x + 32
9x + 8

Answers

Answer:

It’s the first one, 9x-32

Step-by-step explanation:

Maybe

Trapezoid ABCD was dilated to create trapezoid A’B’C’D’. Which statements are true about the trapezoids? Select three options

Answers

The 3 options--1, 2, and 4.

Answer:A, B, E

Step-by-step explanation:

edgenunity

Help QUICK PLEASE!!! GIVING BRAINLIEST AND 30 POINTS!!!! Which property can be used to expand the expression -2(3/4x+7)?

Answers

Answer:

distributive property

Step-by-step explanation:

your expression will look like this:

-1.5x+(-14)

or -2*3/4x+-2*7

need help! h(x) = square root of x-10 what is the domain of h?

Answers

The answer is B, all real values of x such that x ≥10.

Solve the proportion (w+12)/(3w+5)=3/4

Answers

Answer:

[tex]w=6.6[/tex]

[tex]18.6:24.8::3:4[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\(w+12):(3w+5)::3:4\\By\ the\ proportion\ method\ of\ multiplying\ the\ means\ and\ the\ extremes,\\we\ get,\\(w+12)*4=3*(3w+5)\\4w+48=9w+15\\48-15=9w-4w\\33=5w\\[/tex]

[tex]w=33/5\\w=6.6[/tex]

[tex]By\ substituting\ the\ value\ of\ w\ in\ the\ proportion. you\ get:\\(6.6+12)/(3*6.6+5)=3/4\\18.6/24.8=3/4\\18.6:24.8::3:4[/tex]

Need help! I think this is pretty easy but I'm missing something

Answers

Answer:

I think you have it right!

Step-by-step explanation:

if not then try to add each angle to see if you get 288

what is 78 x 9679-L?

lego yoda is better than baby yoda

Answers

Answer:   754962 -L

If it's not, you can let me know so i could try it out again!

Step-by-step explanation:

Answer:

but but baby yoda

Step-by-step explanation:

I rest my case

What is -5 5/8 + 3 1/2

A: -3 1/8
B: -2 1/2
C: -2 1/8
D: -7/8

Answers

Answer:

The answer is -2 1/8 I used an app called Cymath to figure this out it goes down step by step.

Step-by-step explanation:

Hope I helped! :)

Which table represents a linear function? ​

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

Only the first table represents a linear function. In order to be in linear function, the graph of the function must be a straight line. Plotting the graph, by taking the data points from the given table and then plotting in the cartesian coordinates system, several graphs are generated.

Step-by-step explanation:

BRAINLIEST PLZZZ

hey, if anyone could h3lp me with this it would b gr8 !!

Answers

Step-by-step explanation:

AB=OB-OA

AB=[4,-2]-[-4,6]

AB=[8,-8],|AB|=8units

BC=OC-OB

BC=[-6,-4]-[4,-2]

BC=[-10,-2],|BC|=√104

AC=OC-OA

AC=[-6,-4]-[-4,6]

AC=[-2,-10],|AC|=√104

d. Based on the lengths of the sides,the triangle is isosceles

What value of b will cause 16x ^ 2 + bx + 4 = 0 to have one real solution ?

Answers

Answer:

b  =  16

Step-by-step explanation:

16*x  + b*x  + 4  =  0

Solving for x we get:

x₁,₂  =   - b  ±  √  b² - 4*a*c   ] / 2*a         (1)

If we take a look to the square root

√ b² - 4*4*16      =  √ b²  - 256

if we make √ b²  - 256    = 0

b²  =  256       ⇒      b  =  16

Then equation (1) becomes:

x₁,₂  = ( - 16  ±  0  ) / 32

x  = -  1/2

You mix 1/ 3cup of blue paint for every 2/ 3cup of yellow paint to make green paint. You use 4 cups of yellow paint. How much blue paint do you use?

Answers

Answer:

You will use 2 cups of blue paint for 4 cups of yellow paint.

Step-by-step explanation:

Given that:

There is 1/3 cup of blue paint for every 2/3 cup of yellow paint

We will find unit rate in terms of yellow paint.

2/3 cups of yellow paint = 1/3 cup of blue paint

Multiplying both sides by 3/2

[tex]\frac{2}{3}*\frac{3}{2}=\frac{1}{3}*\frac{3}{2}\\1\ cup\ of\ yellow\ paint = \frac{1}{2}\ cup\ of\ blue\ paint[/tex]

Now,

4 cups of yellow paint = [tex]4*\frac{1}{2}[/tex] cups of blue paint

4 cups of yellow paint = 2 cups of blue paint

Hence,

You will use 2 cups of blue paint for 4 cups of yellow paint.

a rocking horse has a weight limit of 60 pounds what percentage is 95% of the weight

Answers

Answer:

57 lbs is your answer

Ab(-2 13)(0 3) CD (-5 0)(10 3) parallel lines identify please help

Answers

Answer:

they are not parallel

Step-by-step explanation:

they intersect eachother

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