what is the common difference between successive terms in the sequence​

Answers

Answer 1

9,2.5,-4,-10.5,-17

Let's find the difference between two consecutive terms

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

Answer 2

Answer:

The common difference between 9, 2.5, –4, –10.5, –17, ...

Is –6.5

Step-by-step explanation:

Because,

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.


Related Questions

Is this a function or no

Answers

Answer:

No

Step-by-step explanation:

It is not properly done.

I think the answer is no
hope this helps x

Please help answering these questions 10 points help please (look at the picture)

Answers

Answer:

46. -22

47. -22

48. 8

Answer:

46) -22

47) -22

48)  8

49) -8

50) -4

51)  4

Step-by-step explanation:

please please help me!!

Answers

Answer:

f(x)= - l x - (-4) l + 0

Step-by-step explanation:

A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?

Answers

Answer:

Yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution

Step-by-step explanation:

We are told that on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards.

This means the chance of success is p = 45% = 0.45

Now, 20 of the company's employees are randomly and independently sampled. This means that for any amount of success within this sample number can be represented by;

P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)

Where;

x is the number of possible successes

n is the number of trials

p is the chance or probability of success

C(n, x) is the number of possible combinations that could occur

This formula represents the binomial probability distribution formula.

So yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution

help. you are converging 8 centimeters to meters. how will the number of meters compare to 8? explain​

Answers

Answer:

0.08

Step-by-step explanation:

Because one cm to meters is 0.01 and times it by 8

=0.08

completely factor: 4t + 2rt + 8st

Answers

2t(2+r+4s)

I hope this helps

Answer:

2t(2 + r + 4s)

The speed of a body falling freely from rest in a vacuum varies directly with the length of the time it falls. If after 6 seconds, a body was falling 58.8 m/s, how fast was it falling 4 seconds later? (Round off your answer to the nearest meter per second.)

Answers

Answer:

The body is falling at 98 m/s after 4 seconds later.

Step-by-step explanation:

The magnitude of the speed of a body dropped from rest is:

[tex] v = gt [/tex]

So, if the speed of a body dropped after 6 seconds is 58.8 m/s, after 4 seconds later is:

[tex] v = gt = 9.81 m/s^{2}*(4s + 6s) = 98.1 m/s = 98 m/s [/tex]

Hence, the body is falling at 98 m/s after 4 seconds later.

I hope it helps you!

can someone help with this please . questions 3 and 4

Answers

Number three would be positive 4

You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.

Answers

Answer:

17/2 = 8.5

1 inch = 8.5 feet

51/8.5 = 6 inches

Step-by-step explanation:

HI :)

Answer:

51 divided by 17 = the answer

Step-by-step explanation:

if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.

Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5)

Answers

Answer:

so the slope-intercept form is y=mx+b

so your's is....

y= 5x +15

Step-by-step explanation:

Hope this helps!!

The equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through (-2,5) and (-4,-5)

The equation of the line can be calculated as follows:

y + 5 = (-5 - 5)/(-4+2)[x + 4]

y + 5 = 10/2[ x + 4]

y = 5x + 20 - 5

y = 5x + 15

Thus, the equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Is y=3x^2+1 a linear or nonlinear equation?

Answers

Answer:

nonlinear

Step-by-step explanation:

because the axis is located below so its all gucci

Answer:

Nonlinear

Step-by-step explanation:

It's actually a parabola because it has a squared value.

Hope that helps and have a great day!

Simon went to high school from 2012 to 2017. He was born when his father was 25. Simon’s parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simon’s parents met.

Answers

Answer:

Simon started High school in the year 2012.

One usually starts highs school when is 14 years old.

So we can assume that Simon was born 14 years before 2012:

2012 - 14 = 1998

Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.

Then Simon's parents should have met before 1998.

Then the inequality that we have:

x < 1998.

And Simon was born when his father was 25 years old.

Then in 1998, Simon's father was 25 years old.

Meaning that he was born around:

1998 - 25 = 1973.

This means that Simon's parents met in-between the years 1973 and 1998.

1973 < x < 1998

The fees for a biochemistry major are $1,728. To major in biochemistry, Toby requires 144 credit hours of coursework. How can he calculate the cost of the fees per credit hour? What is the cost of the fees per credit hour?

Answers

9514 1404 393

Answer:

divide fees by hours$12 per credit hour

Step-by-step explanation:

To find fees per hour, divide fees by hours.

  $1728/(144 h) = $12/h

Toby's cost is $12 per credit hour.

72 + (7x+24) = 180
need to find value of x with steps

Answers

Answer:

[tex]\boxed {x = 12}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]72 + (7x + 24) = 180[/tex]

Add both [tex]72[/tex] and [tex]24[/tex] together:

[tex]72 + (7x + 24) = 180[/tex]

[tex]96 + 7x = 180[/tex]

-Subtract [tex]96[/tex] to both sides:

[tex]96 - 96 + 7x = 180 - 96[/tex]

[tex]7x = 84[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7} = \frac{84}{7}[/tex]

[tex]\boxed {x = 12}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]12[/tex].

The value of x in the equation is 12

The given equation is: 72 + (7x+24) = 180

In order to determine the value of x, take the following steps:

1. Expand the terms in the bracket

72 + 7x+ 24 = 180

2. Combine similar terms

7x = 180 - 72 - 24

3. Add similar terms together

7x = 84

4. Divide both sides of the equation by 7

7x / 7 = 84/ 7

x = 12

In order to check if the value of x gotten is correct, substitute for x in the equation

72 + (7(12)+24) = 180

72 + 84 + 24 = 180

A similar question was solved here: https://brainly.com/question/31437?referrer=searchResults


Jayden already owns 47 stamps, and additional stamps are priced at 0.05 per dollar. How
much money does Jayden need to spend on new stamps in order to have a total of 51
stamps in his collection?

Answers

Answer: If its .05 cents then only 20 cents to finish the collection I got that because 51 - 47= 4 and if it is .05 cents then I did 4 * 5 = 20

can someone please help me out?? :(( i have been stuck on this for 20 mins. i SUCK at math

Answers

Answer: Is it 24

Step-by-step explanation:

You have to make 1/6 and 3/8 have the same common denominator so in order to do that u have to make each denominator 48 since that’s the LCD. You then have to multiply by each number whatever it needs to get 48 on the bottom.

1/6 x 8 =8/48
3/8 x 6 =18/48

subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)

Answers

Answer:

-3+8i

Step-by-step explanation:

Answer this is your dont like the Teletubbies‍. Literally there your sleep paralysis!
Search them up if your dont know them!!!!
10 points!

Answers

Answer:

I am terrified of the Teletubbies. I always have been, I even hated it as a young child. (I'm 15 now) I still love Blues Clues though. Still slaps.

Step-by-step explanation:

Answer:

tramuatized

Step-by-step explanation:

teletubies are h e l l a wierd

In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?

Answers

Answer:

The ball was 0.5 m above the ground before it was punted.

Step-by-step explanation:

Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is  ht=vt-at

ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes

ht = 13.7t + 0.5 - 4.9t²

ht = 13.7 × 0 + 0.5 - 4.9 × 0²

ht = 0 + 0.5 - 0

ht = 0.5 m

So the ball was 0.5 m above the ground before it was punted.

Which of these expressions has the same product as ​(​)​?
Select all that apply.
A.
​(​)
B.
​(​)
C.
​(​)
D.
​(​)
E.
​(​)

Answers

Answer:

none

Step-by-step explanation:

I can't find any question there

Which property is illustrated by the following statement

Answers

Answer:

Communitive

Step-by-step explanation:

It is just saying that they are congruent and they just restated in different ways. It is like 4+3=7 and 3+4=7

Hope this helps

Write the equation of the parabola in vertex form.


Vertex: (−3,7); Point: (−2,−5)

Answers

Answer:

y = - 12(x + 3)² + 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 3, 7 ), thus

y = a(x - (- 3))² + 7 , that is

y = a(x + 3)² + 7

To find a substitute (- 2, - 5) into the equation

- 5 = a(- 2 + 3)² + 7 ( subtract 7 from both sides )

- 12 = a(1)² = a

y = - 12(x + 3)² + 7 ← equation in vertex form

how do i graph 2x+4y=12

Answers

Answer:

(0,3) (6,0)

Step-by-step explanation:

For your birthday, you had a party at The Main Event. Your parents paid for you and 9 friends to play one game of bowling and one game of laser tag. It costs $8 for each combo ticket (covers both bowling and laser tag). Your parents also paid for a meal ticket ($6) for all of you to have pizza and a drink, but only you and 6 of your friends wanted a meal ticket.


6. Write an expression and solve it to find how much money your parents spent for the games and food/drink at The Main Event. Show all work

Answers

Answer:

$140

Step-by-step explanation:

8x+6x

A movie club charges a one-time
membership fee of $30. It allows
members to purchase movies for $7
each. Another club does not charge
a membership fee and sells movies
for $12 each. How many movies
must a member purchase for the
total cost of the two clubs to be the
same? Write an equation, and solve
the equation to determine the
solution.

Answers

Answer:

Step-by-step explanation:

Club A charges $30 membership fee and charges $7 for each movie.

You can write this as :

A = 30 + 7m  (where m = number of movies)

Club B charges no membership fee and it costs $12 for each movie.

B = 12m

If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.

30 + 7m = 12m

Now you can just subtract 7m from both sides.

30 = 5m

Divide both sides by 5 to find "m'.

m = 30/5 = 6

Therefore a member must purchase 6 movies

write the expression to (5x-3x^2)-(5x-2)*(10x+7x^2) in standard form

Answers

this is the answer that i got

Hello, I need an answer for this.

Answers

Answer:

3.19 x 10^6 kilometers

Step-by-step explanation:

can someone help me with this

Answers

Answer:x+90+20=180,70*

Step-by-step explanation

i hope this helped :D

At a concert stadium tickets purchasers have a choice between sitting in the floor seats or in the bleachers seats. In the floor section, there are 16 rows of 48 seats. The bleachers section has 86 rows with 72 seats in each. How many seats are there in all stadium?​

Answers

Answer:6960

Step-by-step explanation:

(16•48)+(86•72)=6960

As an estimation we are told 5 miles is 8 km.
Convert 44 km to miles.

Answers

Answer:

44 km converte to miles is 27.3403.

Answer:

27,5 miles

Step-by-step explanation:

sooo, you need to see how many Miles Is 1km..

5:8= 0,625

So when we know 0,625 mile = 1km then

44x0,625 = 27,5

And the result is 27,5 miles

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