Is the given sequence arithmetic? If so, identify the common
difference,
10, 20, 30, 40

Answers

Answer 1

Answer:

yes, 10

Step-by-step explanation:

Take the second term and subtract the first term

20-10 = 10

Take the third term and subtract the second term

30-20 = 10

Take the fourth term and subtract the third term

40-30 =10

Each time the difference is 10, so it is an arithmetic sequence

This is an arithmetic sequence and the common difference is 10


Related Questions

What is the area of a rhombus if one diagonal is 6 centimeters and the other diagonal is 8 centimeters?

Answers

Answer:

24 cm²

Step-by-step explanation:

The area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is

A = 0.5 × 6 × 8 = 24 cm²

Math question down below

Answers

Answer:

c.

Step-by-step explanation:

10.98/2=5.49

16.19/3=5.40

21.15/4=5.29

26.85/5=5.37

A number is multiplied by 4. That results is added to 12. The final number is 40. What is the original number.
A.) 2

B.) 7

C.) 13

D.) 22

Answers

Answer:

B.) 7

Step-by-step explanation:

7 x 4 = 28

28 + 12 = 40

:)

Using multiplication, the original number is 7.

What is multiplication?

Multiplication is "the process multiplying that the integer is multiplied by number of time".

According to the question,

A number is multiplied by 4. The results is added to 12. The final number is 40. In order to find original number.

4x + 12 = 40

        4x = 40 -12

        4x = 28

          x = 28/4

          x = 7.  

Hence, using multiplication, the original number is 7.

Learn more about multiplication here

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Solve the following equation:

​ 12(b+2)+3b=−1

​Enter your answer as a fraction.

Answers

Answer: -5/3

Step-by-step explanation:

12(b + 2) + 3b = -1

12b + 24 + 3b = -1

15b + 24 = -1

15b = -1-24

b = -25/15 = -5/3

The solution to the equation 12(b+2) + 3b = -1 is b = -5/3.

What is the solution to the given equation?

Given the equation in the question:

12( b + 2 ) + 3b = -1

To solve the equation 12( b + 2 ) + 3b = -1, first apply the distributive property.

Distribute the 12 across the terms inside the parentheses:

12( b + 2 ) + 3b = -1

12×b + 12×2 + 3b = -1

Simplifying, we get:

12b + 24 + 3b = -1

Collect and combine the like terms on the left side of the equation:

12b + 3b + 24 = -1

15b + 24 = -1

Subtract 24 from both sides of the equation:

15b + 24 - 24 = -1 - 24

15b = -1 - 24

15b = -25

Divide both sides by 15:

b = -25/15

Simplify

b = -5/3

Therefore, the value of b is -5/3.

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What is the twentieth term of the arithmetic sequence described by the
equation an= 3n - 10?

Answers

Answer:

The twentieth term is 50.

Step-by-step explanation:

The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:

a1 = 3*1 - 10

a1 = -7

Therefore to find the twentieth term we need to make n equal to 20. This is done below:

a20 = 3*20 - 10

a20 = 60 - 10

a20 = 50

The twentieth term is 50.

Show the Euler-Descartes formula holds for the Great Pyramid of Cheops

Answers

Answer:

For the great pyramid of Cheops, V + F = E + 2 gives 5 + 5 = 8 + 2 which proves Euler-Descartes formula

Step-by-step explanation:

The great pyramid of Cheops is a square based pyramid therefore we have;

V + F = E + 2

Where:

V = Vertices

F = Faces

E = Edges

Hence, we have for a square pyramid;

V = 5 vertices (One at the peak, and four  at the base edges)

F = 5 faces (The four lateral or side faces and the base)

E = 8 edges ( The four lateral edges and the four base edges)

Hence;

5 + 5 = 8 + 2 which proves Euler-Descartes formula.

Students in grade 7 and 8 were asked which food they liked best the results are shown in the table below?

Answers

Answer:

55% if the students like hotdods

Answer:

55%

Step-by-step explanation:

What is the slope of the line represented by y=3/4x-1 ? A. –1 B. -3/4 C. 3/4 D. 1

Answers

Answer:

3/4

Step-by-step explanation:

In the above equation the y-intercept is -1 and the slope of the equation is 3/4

Answer:

The answer is C or 3/4.

Step-by-step explanation:

This equation is in point-slope form or Y= mx+b. The variable m represents slope. So, just look for the number that stands in place of m. Hope this helps! Please mark Brainliest! :)

Complete the following ratios:

Answers

Answer:

700/821, 429/821, 700/429

Step-by-step explanation:

SOH, CAH, TOA

Sin= opp/hyp

Cos= adj/hyp

Tan= opp/adj

yes he is correct ..

Find area of trapezoid

Answers

Answer:

The area of the trapezoid would be 115 inches.

elijah's credit card statement showed these items: Last Balance Payments Finance Rate New Charges $152.58 $45.00 1.5% $213.40 What is Elijah's new balance? $320.98 $322.59 $323.27 $397.51

Answers

Answer:

Option A,$320.98  is correct

Step-by-step explanation:

The new balance on Elijah's credit is the sum of the last balance plus new charges minus payments made.

last balance as shown by the statement was $152.58

new charges were $213.40

payment made by Elijah was  $45

new balance=$152.58+$213.40-$45=$320.98

The rationale for this is that the new charges on the card account add to previous balance owed by Elijah while the payment of $45 made reduces overall balance.

Answer:

Other answer is incorrect. Elijah's new balance would be $322.59

Your welcome.

I need help with this please ASAP!!!

Answers

Answer:

11.3

Step-by-step explanation:

i used the theorem of Pythagoras

Answer:

11.3

Step-by-step explanation:

In a right angled triangle:  the square of the hypotenuse is equal to

the sum of the squares of the other two sides.

[tex]8^{2} + 8^{2} = x^{2}[/tex] (x is the hypotenuse)

64 + 64 = [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 128

=> x = [tex]\sqrt{128}[/tex] = 11.3137085 = 11.3

will give brainliest plz helppp!!!!

Answers

Answer:

A. True

B. False

C. False

D. False

Step-by-step explanation:

Calculate:|a|−|b|+|c|, if a=−8; b=−5; c=1

Answers

Answer:

The answer is 4.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

|x| just means positive x so the equation turns into 8-5+1

8-5 = 3

3+1 = 4

A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow?
A. 2/25
B. 1/5
C. 1/4
D. 2/5

Answers

Answer:

b. 1/5

Step-by-step explanation:

10/50 = 1/5

Use the graph or table to write a linear function that relates to y to x.

Answers

Answer:

the answer to the question is D

I will mark brainliest! The question is the image attached, please help!

Answers

Answer:

x=20 and y=128.Option 2

Step-by-step explanation:

Since,the angles are vertically opposite,they are equal(property)

Therefore,

(3x-8)=(2x+12)

3x-8=2x+12

3x-2x=12+8

x=20,

Now,

Since,the angles are formed in a straight line,their sum is equal to 180(property)

Therefore,

y+(2x+12)=180

y+2×20=180-12

y=168-40

y=128

Therefore,x=20 and y=128

option 2 would be your answer because it explains the missing part where y is.

Choose the appropriate plan letter for each question
Plan____ has the lowest range
Plan____ has the highest y intercept
Plan___ is the plane that is the best value

Answers

c is the lowest range

a has the highest y incerpt

d is the best value

Which of the statements about the x-axis are true?
1. The x-axis intersects the y-axis at the origin.
II. The x-axis is a vertical number line that passes through the origin.
III. The x-axis is the second coordinate in an ordered pair that describes the horizontal distance from the origin.
IV. The x-axis is a horizontal number line that passes through the origin.
A. I and II
B. IV only
C. lll only
D. I and IV
Reset
Submit

Answers

Answer:b

Step-by-step explanation:

Because b makes the most sense

Answer: D

Step-by-step explanation: II isn't it because the X-axis is the horizontal number line. III isn't it because the ordered pair is (x, y)

Hope this helps! :) Can you mark me brainliest?

The loudness, L. measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as

L - 10log , where lo - 10- and is the least intense sound a human ear can hear. Jessica is listening to soft music at a

sound intensity level of 109 on her computer while she does her homework. Braylee is completing her homework while

listening to very loud music at a sound intensity level of 10 on her headphones. How many times louder is Braylee's music

than Jessica's?

Answers

Answer:

Option A is correct.

Braylee's music is 3 times louder than Jessica's.

Step-by-step explanation:

Full Complete Questions

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as

L = 10log (I/I₀), where lo = 10⁻¹² W/m²

and is the least intense sound a human ear can hear.

Jessica is listening to soft music at a sound intensity level of 10⁻⁹ W/m² on her computer while she does her homework.

Braylee is completing her homework while listening to very loud music at a sound intensity level of 10⁻³ W/m² on her headphones. How many times louder is Braylee’s music than Jessica’s?

times louder

3 times louder

30 times louder

90 times louder

Solution

The loudness of a sound intensity is given as

L = 10 log (I/I₀)

For Jessica

I = 10⁻⁹ W/m²

I₀ = 10⁻¹² W/m²

L = 10 log (10⁻⁹/10⁻¹²)

L = 10 log (10³)

L = 10 × 3 = 30 dB

For Braylee

I = 10⁻³ W/m²

I₀ = 10⁻¹² W/m²

L = 10 log (10⁻³/10⁻¹²)

L = 10 log (10⁹)

L = 10 × 9 = 90 dB

How many times louder is Braylee's music than Jessica's?

The factor by which Braylee's music is louder than Jessica's = (90/30) = 3

Braylee's music is 3 times louder than Jessica's.

Hope this Helps!!!

Answer:

3 times louder

Step-by-step explanation:

DVD players are going out of fashion in the modern era. If 400,000 DVD players were sold this year and sales are declining at a rate of 31% per year, how many will be sold 3 years from now?

130,000
131,404
128,000
399,876

Answers

Answer:

c

Step-by-step explanation:

Answer:

399,876

Step-by-step explanation:

So, 400,000 DVD sales with a 31% decline means in the first year following, there will be a decline of 124,000 DVDs sold. So we need to take 400,000-124,000 which equals a starting point for your two is 276,000 dvds. Then, add 123,876, which gives you 399,876.

Which of the following represents the additive inverse of h?

Answers

Subtract ............

Answer:

B or -h

Step-by-step explanation:

i took the quiz

V2 is between what two consecutive integers?
0 and 1
1 and 2
2 and 3
4 and 5

Answers

Answer:

0 & 1.

Step-by-step explanation:

√2 = 1.41421356237

If p stands for "this meal is delicious

Answers

Answer:

I don't understand.......

Jaira is having pizza for her birthday party. She can make two small pizzas, each with a radius of 6 inches, or one large pizza with a radius of 12 inches. Which option will give her more square inches of pizza?

Answers

Answer: One large pizza with a radius of 12 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the area of each option.

Area of a circle: π r^2  

Option 1: two small pizzas, each with a radius of 6 inches.

A = π r^2 = π 6^2 = 113.1 in2

Since there are 2 small pizzas we have to multiply the area by 2:

113.2 x 2 = 226.2 in2

Option2 = one large pizza with a radius of 12 inches

A = π r^2 = π 12^2 = 452.38 in2

Since 452.38 in2 > 113.1 in2

Option 2 (one large pizza) will give her more square inches of pizza

Feel free to ask for more if needed or if you did not understand something.  

What is the rank of Brazil. (Percentile wise)

Answers

Answer:

I dont know it this is the answer u r looking for but out of everything on the list, brazil has 2.2222222222222 percent

Answer:

3.9%  

Step-by-step explanation:

add up all the Olympic medals =485

Brazil = 19

to get the rank of Brazil 19/ 485 =0.039175..... multiply by 100 to get %

Which function has a domain of x>3?

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function (c) has a domain of x ≥ 3.  (Your " >3" does not match the problem statement.)

Justification:  for x ≥ 3, the quantity under the radical sign is ≥ 0, as it must be.

is it true that energy never moves

Answers

Answer:

False

Step-by-step explanation:

Energy is transferred from one object to another when a reaction takes place. Energy comes in many forms and can be transferred from one object to another as heat, light, or motion, to name a few.

Sorry if its blurry im on my laptop

Answers

Answer:

Step-by-step explanation:

1 in=2 ft

Bedroom 1

scale

17.5 in ×12.5in

actual

(17.5×2)×(12.5×2)

or

35 ft×25 ft

Living Room

scale

17.5 in×17.5 in

actual

35 ft×35 ft

Bathroom 1

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Kitchen

scale

17.5 in ×12.5 in

actual

35 ft×35 ft

Bedroom2

scale

12.5 in ×12.5 in

actual

25 ft×25 ft

Entryway

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Bathroom 2

scale

12.5 in×5 in

actual

25 ft×10 ft

There are 10 shirts in a drawer. Eight of the shirts have short sleeves. Two shirts have long sleeves. Estimate the probability that you get a short-sleeved shirt if you select one out without looking.

Answers

Answer:

4/5

Step-by-step explanation:

8/10=4/5

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