Find the common difference (d) of the arithmetic sequence. It it is not arithmetic, enter "None" in the box. 10, 2, -6, -14, -22, ... d =?​

Answers

Answer 1
Answer:  d = -8

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Explanation:

Pick any term that isn't the first term. Then subtract off the previous term. If we get the same result each time, then the sequence is arithmetic, and that result is the common difference.

term2 - term1 = 2-10 = -8term3 - term2 = -6-2 = -8term4 - term3 = -14-(-6) = -14+6 = -8term5 - term4 = -22-(-14) = -22+14 = -8

We get -8 each time, so the sequence is arithmetic with common difference d = -8. It says to add -8 to each term to get the next term. This is the same as subtracting 8 from each term to get the next term.

Note how:

10-8 = 22-8 = -6-6-8 = -14-14-8 = -22

Related Questions

To construct a compound pulley with an ideal mechanical advantage of 6 you would arrange several fixed and movable pulleys so that a total of ... rope segments were pulling up on the load


Please give correct answer!

Answers

Answer:

6.

Step-by-step explanation:

A simple machine can be defined as a type of machine with no moving parts but can be used to perform work.

Basically, a simple machine allows for the transformation of energy into work. The six simple machines are; lever, wedge, inclined plane, screw, wheel and axle, and pulley.

A pulley is typically made up of a wheel and rope which allows force to be multiplied such as in a drawing well.

In order to construct a compound pulley with an ideal mechanical advantage of 6 you would arrange several fixed and movable pulleys so that a total of 6 rope segments were pulling up on the load.

Hence, you need 6 pulley wheels and 6 rope segments to construct a compound pulley with an ideal mechanical advantage of 6.

To find the ideal mechanical advantage;

Mathematically, IMA is given by the formula;

[tex] IMA = \frac {distance \; over \; which \; the \; effort \; is \; applied}{distance \; the \; load \; travels} [/tex]

NB: The ideal mechanical advantage has no units.

Find the radius of the button.

radius: ___ cm

Answers

Answer:

the radius is 2.5 cm

Step-by-step explanation:

Half of your diameter is your radius

I can confirm that it is 2.5 due to the way it was solved .

What is the volume of the cylinder below? 9- 7 - 5 OA. 1757 units3 B. 2257 units3 C. 357 units3 D. 70n units3​

Answers

Answer:

175 pi ^3

Step-by-step explanation:

The volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

Volume can be defined as a three-dimensional space enclosed by an object or thing.

As we know,

We can find the volume of the cylinder by using the given formula:

[tex]\rm V = \pi r^2 h[/tex]

The radius of the base r = 5 units

The height of the cylinder h = 7 units

[tex]\rm V = \pi (5)^2 (7)[/tex]

V = 25x7π

V = 175π cubic units

Or

V = 175π units³

Thus, the volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.

Learn more about the cylinder here:

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what does 2x=3x-10 equal​

Answers

Answer:

10

Step-by-step explanation:

2x - 3x = -10

-1x = -10

x = 10

4. Using the graph at right, determine how long it
takes to mow an acre of grass.

Answers

Answer:

I think 0.7

Step-by-step explanation:

Anthony has $3750 that he wants to invest. He plans to leave the money there for 9 years. If his investment gets 6.35% interest compounded continuously, how much will he have at the end of 9 years? Round your answer to the nearest whole number?​

Answers

Answer:

[tex]A= P(1+\frac{r}{n})^{nt}[/tex]

P = 3750

r = 6.35% = 0.0635

n = 365

t = 9

[tex]A= 3750(1+\frac{0.0635}{365} )^{365*9}\\\\[/tex]

    [tex]= 3750(1+\frac{0.0635}{365})^{3285} = 6640.63[/tex]

Answer  = $6641

i need help with geometry

Answers

Answer:

154

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x+8=x+20

3x-x=20-8

2x=12

x=12/2=6

∠PTQ=x+20=6+20=26

∠PRT=180-26=154°

what is the answer of y=2x-6

Answers

The answer is x = y/2 + 3.

I hope this helps, have a great day!

What is the solution to the equation shown below? (2017) no calculator
2/3x + 5 = 1

Answers

I think x= -9

sorry if I'm wrong

I don’t understand it help and add a explanation for me pls :}

Answers

the scale factor is 8, because 12 x 8 equals 96, and you’re gonna multiply 8 on the other numbers as well if you have to

You have $1200 to deposit into an account that pays 4.5% interest compounded continuously. How
much will be in the account after 8 years? Round to the nearest dollar. *

Answers

Answer:

The final balance is £1,720.

The total compound interest is £520

you don't even to round it at all

I"m actually begging you to help

Answers

Answer:

(Square, Right Triangle)

18 meters²

Step-by-step explanation:

You can divide the shape into a square and right triangle, see the attachment :)

The area of the square is the length times the width. So,

3 · 3 = 9

The area of the square is 9 m².

The triangle's area is the base times the height divided by 2. So,

6 · 3 = 18

18 / 2 = 9

The triangle has an area of 9 m².

Add these together.

9 + 9 = 18

The area is 18 meters².

​ x-10=4 what is the answer HELP!

Answers

Answer:

x = 14

Step-by-step explanation:

Add 10 to both sides.

x− 10 + 10 = 4 + 10

x=14

Which expression is equivalent to 4(3x + 4y)

Answers

Answer:

12x+16y

Step-by-step explanation:

help me pls. not links pls

Answers

answer:
y = 1/2x

step-by-step explanation:
first find the y-intercept or b
it is 0
next find the slope, rise/run
it is 5/10 or 1/2x
putting those in the equation it would be
y = 1/2x
because the y-intercept is 0 you wouldn’t add it

Pls help and round to the nearest and no decimals

Answers

Answer:

Step-by-step explanation:

LA = pi*r*l = 3.14*8.5*12.4 = 331

SA = LA + pi*r^2 = 331 + 3.14*8.5^2 = 558

V = 1/3*pi*r^2*h = 1/3*3.14*(8.5^2)*sqrt(12.4^2-8.5^2) = 683

Answer:

331

558

683

Step-by-step explanation:

LA = 3.14x8.5x12.4 = 330.9 = 331

SA = 331+3.14x8.5^2 = 557.9 = 558

V = 1/3x3.14x(8.5^2)x(12.4^2-8.5^2)^0.5 = 682.7 = 683

Based on statistics for the past several seasons, the probability that the best player on a basketball team makes a free throw is 8/10. the probability that the second-best player makes a free throw is 13/20. if both players attempt 140 free throws over a season, how many more free throws is the best player expected to make? Please help!!!

Answers

Answer: The best player is expected to make  

21 more free​ throw(s).

Step-by-step explanation:

1) Make a proportion

2) Find the unknowns

3) Subtract the greater number from the smaller one

4) That's it.

Answer:

He is expected to make 21 more free throws

Step-by-step explanation:

we know that the probability for the best player is 8/10 or 80%

the probability for the second best is 13/20. This is equivalent to 65%

They each attempt 140 free throws.

We need to figure out what 80% of 140 is. To do this, we need to multiply 140 by 0.80. 140 * 0.80 = 112

We do the same for the second best

140 * 0.65 = 91

112 - 91 = 21.

Hope this helped

Which expression is equivalent to 4x - (8x + 3) - 2?
T
A
12x + 1
B
-12x - 5
с
-4x - 1
D
-4x - 5

Answers

Answer:

-4x - 5

Step-by-step explanation:

4x - (8x + 3) - 2

Dstribute the negative

4x - 8x - 3 - 2

combine like terms

-4x -5

The correct answer is d

Help pls 6th grade math (look at the pic attached) btw it’s 2 questions

Answers

Answer:

1. s=7

2 s = 8

Step-by-step explanation:

s + 12 =19 you subtract 12 from 19 and you get 7 so you rewrite it like this s = 7 then divide s by 7 and get s = 7

s - 6=2 add 6 to both sides so 6+2 equals 8

s=8

First one is 7 and the second one is 8

Refer to the isosceles trapezoid shown. Find z

Answers

Answer:

look at the picture i sent......

Which graph represents the solution for the equation 3x + 4 = -2x - 2? HURRRY PLEASE​

Answers

This is what I got but I can’t see if u added a picture or not

What does 123 times 504 equal?? I am just soooo curious about this... ;)

Answers

Answer:

61992

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]123 \times 504 \\ = 61992[/tex]

What type of angle is shown below?



straight
acute
obtuse
right

Answers

Obtuse, it is greater than 90 degrees

the answer is obtuse

Step-by-step explanation:

mark me as a brainliest

A plumber charges $30 an hour plus cost of parts. The parts to fix Ben’s sink cost $97. The plumber gives Ben a bill for $217. How long did it take the plumber to fix Ben’s sink?

Answers

X is hours

30x + 97 = 217
30x + 97 - 97 = 217 -97
30x = 120
30x/30 = 120/30
x = 4

They took four hours to fix Ben’s sink.
Ok the answer is 4 hours because...

our total is 217 and we know that without the hours 97 + something = 217 so we subtract 97 from 217 (217-97) and we get 120. Then we know that 30 x the number of hours = 120. Therefore to find the number of hours we divide 120 by 30 (120/30) which gives us 4. When we plug everything back in, 30 x 4(# of hours) + 97 = 217

Help please?!?!??!?!!!?!?!?!?!?!?!?!!?!?!?

Answers

Answer:

60%

Step-by-step explanation:

Number of people ages 26 - 35 prefer Ad A = 12

Number of people ages 26 - 35 prefer Ad B = 8

Total people ages 26 - 35 = 12 + 8

= 20

Percent of people ages 26 - 35 prefer Ad A = Number of people ages 26 - 35 prefer Ad A / Total people ages 26 - 35 × 100

= 12/20 × 100

= 0.6 × 100

= 60%

Percent of people ages 26 - 35 prefer Ad A = 60%

Find the mode for the given data set.

A.) 6
B.) 34
C.) 37

Answers

Answer:

its b 34

Step-by-step explanation:

Answer:

the actual answer is 37. I have the assignement and 37 was correct.

Step-by-step explanation:

Spinner A and Spinner B have 4 color choices each: grey, orange, blue and yellow. What is the probability of getting a Blue and Grey combination from the area model below?

Answers

Answer:

The probability of getting a Blue and Gray combination is 6.25%.

Step-by-step explanation:

Given that Spinner A and Spinner B have 4 color choices each: gray, orange, blue and yellow, to determine what is the probability of getting a Blue and Gray combination from the area model below, the following calculation must be performed:

Blue / Total: 1/4

Gray / Total: 1/4

1/4 = 0.25

0.25 x 0.25 = X

0.0625 = X

0.0625 x 100 = 6.25

Therefore, the probability of getting a Blue and Gray combination is 6.25%.

Answer:

answer is 1/8

Step-by-step explanation:

just took the quiz trust me this the answer

please help any tips greatly appreciated:)

Answers

Answer:

15

Step-by-step explanation:

For this question we have the hypotonouse and need the opposite side

so out of SOH, CAH, TOA we will use SOH

sin(52)=x/19

19sin(52)=x

x=14.9722

which rounds to

15

cuantos kilometros tiene tokyo

Answers

Answer:

90 km

Step-by-step explanation:

As altitude within the troposphere increases, the amount of water vapor in the atmosphere generally: PLEASE HELP ME!!!
A. decreases, only
B. increases, only
C. remains the same
D. decreases, then increases

Answers

the correct answer is B

As altitude within the troposphere increases, the amount of water vapor in the atmosphere generally decreases.

What happens in the troposphere as you increase in altitude?

The bottom of the troposphere, close to ground level, has the warmest air. As one ascends into the troposphere, the air becomes cooler. Because of this, tall mountains' peaks might still have snow on them in the summer. Along with decreasing with altitude, so do air pressure and air density.

As, The troposphere's temperature and water vapour content drop sharply with altitude.

This is because it absorbs solar energy and thermal radiation from the planet's surface, water vapour plays a significant role in controlling the temperature of the atmosphere.

99% of the water vapour in the atmosphere is found in the troposphere.

Thus, the water vapor decreases.

Learn more about Troposphere here:

https://brainly.com/question/15011302

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