What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...?

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

10-8=2

8-6=2

6-4=2

4-2=2

Answer 2

The common difference of the given A.P. is -2.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is an arithmetic sequence?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The nth term of an A.P. is given by -

a[n] = a + (n - 1)d

We have the following sequence 10, 8, 6, 4, ... .

We have -

10, 8, 6, 4, ...

The common difference of the given A.P. is -

d = 8 - 10 = 6 - 8 = 4 - 6

d = - 2

Therefore, the common difference of the given A.P. is -2.

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Related Questions

If there are 9 rows of seats with 18 seats in each row there are also 6 rows of seats with 24 seats in each row how many seats are there in the auditorium

Answers

306, 9 times 18 is 162 + 6 times 24 is 144 and add 162+144 to get 306 seats in the auditorium.

Answer:

306

Step-by-step explanation:

The number of rows times the number of seats in each row is equal to the stadium chair. Using this, 9 rows of seats with 18 seats in each row is 9(18)  and 6 rows with 24 seats in each row is 6(24). Now we add 9(18) + 6(24), which is 162 + 144 which is 306 seats

7th grade Math help please

Answers

Answer: B. 100-h < 40+2h

Step-by-step explanation: If it says the first tank is less it probably is B and not D.

Answer:

Step-by-step explanation:

Its D

Its not B because:

100-1=99 cant be less than 40+4=44

Good luck!

Find the slope of a line passing through (2, -1) and (-6, -1).

Answers

The slope is: -0/8
Use the formula to find the slope

You never scale down to write a complex rate as a unit rate. True or false?

Answers

Answer:

True

Step-by-step explanation:

We should use simple units while doing any type of calculation, using simple units make it easy for other people to kn ow the calculation, on the contrary if we use complex units then it will make the calculation more complicated thereby increasing the chances of mistake.

What is x
Full question in image above ^^

Answers

Answer:  

A)  [tex]\frac{19}{3}[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

-19/3

3x-1/4 = -5

3/4x + -1/4 = -5

+1/4            +1/4

1x = -19/4

multiply both sides by 4/3

x = -19/3

Graph the equation 2x−y=9 by plotting points.

Answers

Answer:

y=2x-9

Step-by-step explanation:

2x-y=9

-2x     -2x

-y=-2x+9

-y/-y= -2x/-y+9/-y

y=2x-9

The required graph of equation 2x - y = 9 by plotting points is attached below.

To graph the equation 2x - y = 9 by plotting points, we can choose different values of x, solve for y, and then plot the corresponding points.

Here is a table of values:

x | y

0 | -9

1 | -7

2 | -5

3 | -3

4 | -1

5 | 1

Using these values, we can plot the points (0, -9), (1, -7), (2, -5), (3, -3), (4, -1), and (5, 1) on a graph.

The x-axis represents the values of x, and the y-axis represents the values of y. Connect the plotted points with a straight line to represent the equation 2x - y = 9.

Thus, the required graph of equation 2x - y = 9 is attached below.

Learn more about the Lines here:

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8 and 1/2 + 7 and 1/ fourth

Answers

Answer:

15 3/4

Step-by-step explanation:

8+7=15

1/2+1/4= 3/4

15+3/4

Answer:

15 3/4

Step-by-step explanation:

You need to have like denominators before you add so you need to find the LCM (least common multiple) of the two numbers. Then you have to find how much you have to multiply each number by to get the multiple. Then you just have to remember that whatever you do to the bottom you do to the top.

1. 8 1/2 + 7 1/4     This is your equation.

2. 8 2/4 + 7 1/4      The LCM of 2 and 4 is 4. You multiply by two in the bottom to get 4 so you multiply by 2 at the top. (This is talking about the first fraction).

3. 15 3/4    Then you just add as you would normally add without changing the denominators an simplifying if you need to. (You don't need to simplify for this equation).

I hope this helped you.

Simplify to zero answers.​

Answers

I don’t know if this is ur question or something but U cant simplify any number by zero

The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F

Answers

Answer:

I think that it could be A, or the third choice.

We need to see which points are solutions for the given system of inequalities, thus the solutions are points B and L.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Solving a system of inequalities we have the system here;

y <-2x + 10

y < 1/(2x - 2)

A point is a solution of the system if and only if it is a solution for both inequalities.

Now, Shade the region below the like for x = 5.

y = -2(5) + 10

= -10 + 10

= 0

For x= 0

y = -2(0) + 10

= 0 + 10

= (0, 10)

The diagram is attached below.

So, only B and L are solutions for the system.

If you want to learn more about inequalities;

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Calculating the mean: data displays
Find the mean of the data in the bar chart below.
students
Size of each teacher's class
16
14
12
10
Number of students
8
6
4
SH
2.
0
Mr. Brehan
Mrs. Jones
Mr. Singh
Ms. Garcia

Answers

Answer:

Step-by-step explanation:

The answer is 12 students

Answer:12

Step-by-step explanation:

Choose the graph of y < -x^2 + 4x + 5


edge2020

Answers

First one the one that has the blue inside

need help asap please help

Answers

It’s the second option :)

What is the mean age of dogs at the dog park?

Answers

Answer:

well first how about you give the anwsers

STEP BY STEP EXPLANATION

Refer to the Newsela article "The Lakota Tribe Wants to Educate People Through Music Project."

Part A

What is an implied idea about the Lakota Music Project in the article?


It was created to unite Native American musicians and their diverse ideas.

It was established with the intent to increase human connectivity.

It was intended to celebrate the uniqueness of Native American music and not to limit it.

It was viewed as an idea that covered all areas of the human experience.

Part B

Which two sentences from the text that best support the answer in Part A?


“Gier was eager to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.”

“‘I find the Lakota Music Project a visionary undertaking, and I feel it deserves to be more widely known,’ said Joseph Horowitz.”

"The Lakota Music Project's focus remains on building bridges through music."

“Some of the orchestra's musicians and the Porcupine Singers, a drumming circle on the reservation, met to exchange ideas and play music for one another.”

Answers

Answer: part A

It was established with the intent to increase human connectivity.

part B

"The Lakota Music Project's focus remains on building bridges through music."

“Gier was eager to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.”

Step-by-step explanation: I took the test ok k12 sooo...

Answer for part A

It was established with the intent to increase human connectivity.

Answer for part B

"The Lakota Music Project's focus remains on building bridges through music."

AND

“Gier was eager to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.”

Note

I also took the K12 test, and got it correct! :D (Note: I forgot to click on the "Gier was eager to develop'... thats why it's yellow.)

Question will be in picture below please help

Answers

Answer:

c = 13

Step-by-step explanation:

c = 6(3) - 5

c = 13

Answer:

C. c=13

Step-by-step explanation:

This is how I figured it out:

1. I took the equation (c=6a-b) and I replaced the letters with the numbers given. (a=3 & b=5) so I got the new equation c=6(3)-5.

2. I used PEMDAS (parentheses, exponents, multiplication, division, addition and subtraction. Since we have multiplication and subtraction needed multiplication is shown before subtraction in PEMDAS so we would figure out 6(3) first which is equal to 18.

3. Now we have the new equation of c=18-5. Since subtraction is left we would take away 5 from 18 and now we have the final answer of 13. So the equation would now look like this: c=13. It's pretty obvious that c=13 that c has the value of 13.

I hope this helps:)

A gardener planted flowers of different colors.
of the flowers are yellow
The gardener planted 119 purple flowers. How many flowers did the
gardener plant?
of the remaining flowers are green.
• The rest of the flowers are purple. HELP FAST IM AWARDING BRAINLYEST

Answers

Question:

A gardener planted flowers of different colors.

3/10 of the flowers are yellow.

3/4 of the remaining flowers are green.

The rest of the flowers are purple.

The gardener planted 119 purple flowers, how many flowers did the gardener plant?

Answer:

[tex]Total = 680[/tex]

Step-by-step explanation:

Represent Yellow with Y, Green with G and Purple with P

[tex]Y = \frac{3}{10}[/tex]

First, we need to determine the fraction of the rest.

[tex]Yellow + The\ Rest = 1[/tex] ---- In terms of fraction

[tex]The\ Rest = 1 - Yellow[/tex]

[tex]The\ Rest = 1 - \frac{3}{10}[/tex]

[tex]The\ Rest = \frac{10 - 3}{10}[/tex]

[tex]The\ Rest = \frac{7}{10}[/tex]

We have that:

[tex]G = \frac{3}{4} * The\ Rest[/tex]

[tex]G = \frac{3}{4} * \frac{7}{10}[/tex]

[tex]G = \frac{21}{40}[/tex]

To solve for the fraction of Purple, we make use of:

[tex]Y + G + P = 1[/tex]

[tex]P = 1 - Y - G[/tex]

Recall that: [tex]Y = \frac{3}{10}[/tex] and [tex]G = \frac{21}{40}[/tex]

So:

[tex]P = 1 - \frac{3}{10} - \frac{21}{40}[/tex]

[tex]P = \frac{40 - 12 - 21}{40}[/tex]

[tex]P = \frac{7}{40}[/tex]

At this point, we have the fraction of each flower as:

[tex]Y = \frac{3}{10}[/tex]

[tex]G = \frac{21}{40}[/tex]

[tex]P = \frac{7}{40}[/tex]

Also, we have that:

[tex]P = 119[/tex]

The relationship between both values of P is:

[tex]\frac{7}{40} * Total = 119[/tex]

[tex]Total = 119 * \frac{40}{7}[/tex]

[tex]Total = \frac{119 * 40}{7}[/tex]

[tex]Total = \frac{4760}{7}[/tex]

[tex]Total = 680[/tex]

In a survey of 3475 ​adults, 1440 say they have started paying bills online in the last year. Construct a​ 99% confidence interval for the population proportion. Interpret the results. A​ 99% confidence interval for the population proportion is ( ), ( ). ​(Round to three decimal places as​ needed.) Interpret your results. Choose the correct answer below.

a. With​ 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
b. With​ 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Answers

How’s hurszhipjjhfd sry

ASAP! I will give branilest!

1. Based on the information in the table, is the cost of the apples proportional to the weight of apples? Yes/No

pounds of apples cost of apples
2 $3.76
3 $5.64
4 $7.52
5 $9.40

2. Base on the information in the table, is the cost of the pizza proportional to the number of toppings? Yes/No



number of toppings cost of pizza
2 $11.99
3 $13.49
4 $14.99
5 $16.49
3. Write an equation for the table that represents a proportional relationship.

c =
1.50 or 1.88




3A. Use the following variables to help in your equation:
Is A the answer or T


a is for pounds of apples
t is for number of toppings

Answers

Answer:

1 = No     2 = Yes      3 = 1.88

Step-by-step explanation:

Answer:

1. Yes 2. No 3. = 1.88 .

Step-by-step explanation:

1. Possibly yes, the first table represents a proportional relationship because cost per pound of apples is the same in each row, 1.88 dollars per pound.

2. Definitely no, the second table does not represent a proportional relationship because cost per topping is not the same in each row. (An equation is =1.50+8.99 but students do not need to provide an equation.)

3. An equation relating the cost to pounds of apples is = 1.88.

Pick the answer that represents two inequalities using the following pair of numbers.



-21 and -22


−21 > −22; −22 > −21−21 > −22; −22 > −21 (A)

−21 < −22; −22 < −21−21 < −22; −22 < −21 (B)

−21 > −22; −22 < −21−21 > −22; −22 < −21 (C)

−21 < −22; −22 > −21 (D)

Answers

Answer:

C

Step-by-step explanation:

it's the only one whose inequalities match up, because 0 > -21 > -22

Answer:

C

Step-by-step explanation:

Which of these numbers are perfect squares or perfect cubes? Select all that apply
A. 8
B. 16
C. 32
D. 64
E. 128

Answers

16, 64

8 isn’t a perfect square because no whole number can be multiplied by itself twice to get 8. You can multiply 4 and 4 together and get 16z. You can multiply 8 and 8 together to get 64.

Which of the following statements is true concerning ABC below?

Answers

Answer:

A is the answear. so jst pick A

"if A, then B" is the form of a _______statement

Answers

I don’t see any answer options but if the question is:

"If A, then B" is the form of a _____ statement.

A. false
B. deductive
C. conditional
D. true


Then I think that the answer is C.

if 9√x=√12+√147,then x is equal to​

Answers

Answer:

[tex]9 \sqrt{x} = \sqrt{12} + \sqrt{147} \\ = > \sqrt{x} = \frac{ \sqrt{12} + \sqrt{147} }{9} \\ = > x = {(\frac{ \sqrt{12} + \sqrt{147} }{9} )}^{2} \\ = > x = ( \frac{15.58}{9} )^{2} \\ = > 3[/tex]

17. The area of the large square below is 49 centimetres squared. What are the side lengths of the shaded triangle?

Answers

Answer:

12.25,12.25,7

Step-by-step explanation:

Formula of Area of square= length x breadth

In a square all side are equal as we all know that which means if the Area of the square is [tex]49cm^{2}[/tex] if we take the root of 49 it gives us 7 so the length and breadth of the square is equal to 7 as shown in my figure i uploaded. Please excuse my professional drawing skills ( pun intended :D)

The dotted lines i assume shows that sides are being bisected into two equal halves which means the whole side equals 7cm and the half is 7/2 equals 3.5cm so the bottom half side of the triangle is 7cm but the two slant heights we have to find we can find it by using phythogra's theorem

(Hypotnuse)^2=(Length^2) x (Breadth)^2

we need to find just one side of the hypotnuse/slant height then we multiply it by 2 which would gives us both of our hypotnuse sides so

(Hypotnuse)^2= (3.5)^2 x (3.5)^2

(Hypotnuse)^2=150.0625

Apply square root on both sides gives us

[tex]Hypotnuse = 12.25[/tex]

Since the traingle is covered by two slant height's the sides of the traignle are 12.25cm 12.25cm and 7cm

Imma just leave this here imma do brainlyest

Answers

Answer: The can of Coke i would say because it cost least unless by best buy they mean higher price then the pepsi!

~ Zachary

Find the slope of the line that is perpendicular to the graph of the equation y-4x=1

Answers

Answer:

y=-1/4x+1

Step-by-step explanation:

List the integers from least to greatest

{-6, -13, 0, 3, 5, - 7}

Answers

-13, -7, -6, 0, 3, 5

8.075 x 10-4 in standard form

Answers

Answer:

8.075x + 6

Step-by-step explanation:

should be your answer, combine your like terms. the only like terms are 10 and 4. subtract the 10 and 4

Answer:

The answer is: 8.075 x 6= 48.45

Step-by-step explanation:

I HOPE THIS HELPS AND GOOD LUCK! :)

Helppdjsj please! :(

Answers

ANSWER

0.12

EXPLAINATION:

turn 4 into a fraction ( 4/1 )

divide 12/25

since you cant divide fractions, you use KCF (keep change flip)

keep 12/25 changed division to multlication and flip 4/1 to 1/4

now multiply 12/25 x 1/4

Your answer is 0.12

Hope this helps!!

explain how you found the value of the mean

Answers

Answer:

where is the equation......

Answer:

The mean is the average of the number. It is easy to calculate add up on the numbers, then divide by how many numbers there are.

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