Write an equation for the nth term of the arithmetic seqeuence. Then find a10 100,110,120,130...​

Answers

Answer 1

The 10th term of this arithmetic sequence 100,110,120,130...​ is 190.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, An arithmetic sequence 100,110,120,130...​

First term a₁ = 100, Common difference(d) = 130 - 120 = 120 - 110 = 10.

We know nth term of an arithmetic sequence is aₙ = a₁ + (n - 1)×d.

aₙ = 100 + (n - 1).10.

aₙ= 100 + 10n - 10.

aₙ = 10n + 90

So, the 10th term a₁₀ = 100 + (10 - 1).10 = 100 + 90 = 190.

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Related Questions

which expression best describes the graph?​

Answers

Answer:

Y = -2/3x + 2 best describes the graph because 2 of the answers have 3 as the Y intercept and the other option with the correct Y intercept doesn't give enough information about the slope

Select the correct answer from each drop-down menu.
April and Jasmine found the volume of the rectangular prism below.

5x8x6

April packed the rectangular prism with centimeter cubes to find the volume. She packed 4 layers of centimeter cubes. Each layer had 8 rows with 6 cubes in each row.

Jasmine multiplied the side lengths to find the volume.



One of the students made a mistake, and her work will result in an incorrect volume.

The student who made the mistake was
.April or Jasmine

Her mistake was
she did not multiply the correct numbers
she did not pack enough layers of centimeter cubes
she should have added the length sides
She packed too many centimeter cubes in each layer

The correct volume of the rectangular prism is cubic centimeters. 240 or 200 or 270

Answers

Answer:

AprilShe did not pack enough layers of centimeter cubes240 cubic centimeters

Step-by-step explanation:

Dimensions of the prism is 5x8x6

April made a mistake, she packed 4 layers of unit cubes instead of 5 layers

Correct  volume of the prism is:

5*8*6 = 240 cm³

Correct answer choices:

AprilShe did not pack enough layers of centimeter cubes240 cubic centimeters

Will give crown help

Answers

Answer:

There are 5 spaces between point J and I

Point J is at (-7,-2)

Point I is at (-2,-2)

They have the same y value, but a difference of 5 in the x value. So, they are 5 units apart.

amanda had to pay sales tax on a new iphone case she purchased last week. The iphone case was 35.00 and she pid 2.45 in taxes, what percent of the original price did she pay in taxes?

HELP

Answers

Answer:

7%

Step-by-step explanation:

[tex]\frac{2.45}{35} = \frac{x}{100}[/tex]

[tex]2.45*100[/tex] and [tex]35x[/tex]

[tex]\frac{245}{35} = \frac{35x}{35}[/tex]

[tex]245/35=7[/tex]

(01.02 MC)Which of the following expressions shows how to rewrite 4 − 5 using the additive inverse and displays the expression correctly on a number line?
1.The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative 1.
2.The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to 5.
3.The expression 4 minus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative 5.
4.The expression 4 minus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to 1.

Answers

Answer:

I think the answer is 1. The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative. So the answer is A

hope this helps sorry if it wrong

pls let me now if right or wrong

The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from points 0 to 4. Another arrow points from 4 to negative 1. Option A is correct.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
4  + (- 5)

The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from points 0 to 4. Another arrow points from 4 to negative 1.

Thus, option A is correct.

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Help me please due in 30 minutes !

Answers

Answer:

B

Step-by-step explanation:

Which is a solution to the equation 7g-2=47

Answers

5 the answer is 5.......

Answer:

g=7

Step-by-step explanation:

7g-2=47

   +2  +2

7g=49

÷7   ÷7

g=7

what is the sum of (x - 8) - (2x + 2)

Answers

Answer:

the answer is 4

Answer:

[tex]-z-10[/tex]

Step-by-step explanation:

HELP ASAP FOR BRAINLIEST

Answers

Answer: i am pretty sure its the first one

Step-by-step explanation:

i don't know for sure

1st one: find the y-coordinate when the x-coordinate is at 0

Logically if you think about it, when x is at zero the y-value is also at 0. The number 0 will not find you the amount of wood gathered per hour.

As long as you can connect the hours (x-value) with the amount of wood (y-value) that meets on the line, then you should be able to determine the amount.

I hope that’s not too confusing. If so, send a comment and i can explain it to you further (:

whats 9 + 10? if you get it right brainliest

Answers

Since brainily make me write more than 20 character this is the answer 9+10=12

Answer:

19.  

Step-by-step explanation:


What is the probability that Mark and Bobby will both choose mushrooms?

Answers

what is the rest of the question

Answer: choose mushrooms out of what?

At a computer store, the package of the DVDs sell for $15 each. One customer buys $120 worth of the DVDs.
Write an equation to model the number of the packages of the DVDs the customer bought, and then solve the equation. Plus, I need help with question number 9. A and B of Solve Simple Equation Word Problem will be marked as brainliest if your answer fully completed with complete step-by-step explanation! :)

Answers

Answer:

The customer bought 8 DVDs for $120.00

Step-by-step explanation:

120*15=8 DVDS or as a ratio 8:1

An office printer prints 24 photos in 8 minutes. A home printer prints 36 photos in 18 minutes. Find the unit rate of each printer. Tell which printer is the one that prints at a faster rate. please help

Answers

Answer:

office printer

Step-by-step explanation:

24/8= 3 per min

36/18= 2 per min

office printer is faster

Answer:

The office printer.

Step-by-step explanation:

If the office printer prints 24 photos in 8 minutes, then it prints 3 per minute, since 24/8=3.

If the home printer prints 36 photos in 18 minutes, then it prints 2 per minute, since 36/18=2.

Halp ;-; A florist is using 36 flowers to make 4 identical arrangements. How many flowers will be in each arrangement?

Math item stem image
CLEAR SUBMIT12 flowers


10 flowers


9 flowers


4 flowers

Answers

It would be 9 flowers because 4 times 9 equals 36 which means that each arrangement would have an even amount.

What is the approximate area of the circle shown below?
A. 94 cm2
B. 11,310 cm2
C. 2827 cm2
D. 188 cm2

Please help

Answers

Answer:

Step-by-step explanation:

we have the diameter =60 cm, the radius is 60/2=30 cm

A circle is 3.14*r^2=2827 cm^2

Answer: C. 2827 cm2

Step-by-step explanation:

The area of a circle is calculated by pir^2; r = the radius

In the diagram, the diameter is provided. The radius is half of the diameter. 60/2 = 30, so the radius is 30 cm.

Plug these values into the formula

A = 3.14*30^2

A = 2827.43, which would round to 2827 cm2

If a train goes at a constant speed of 40 miles per hour for one hour, then at a constant speed of 50 miles per hour for two hours, what is its instantaneous speed at the beginning of the last hour of its trip?

Answers

Answer:

60

or 200 miles is the hole trip

Step-by-step explanation:

This is the one that will decide my note, help once more please

Answers

Answer: x = 17

Step-by-step explanation:

180 - 94 = 86

So all the inside angles of a triangle = 180

180 - 86 - 60 = 34

34/2 = 17

Answer:

it's answer is 17

Step-by-step explanation:

we know exterior angle of a triangle is equal to the sum of two opposite interior angles. So,

2x + 60° = 94°

2x = 94° - 60°

2x = 34°

x = 34° /2

x = 17°

The image point of A after a translation right 4 units and down 4 units is the point B(12, – 7). Determine the coordinates of the pre-image point A.

Answers

Answer:

            (8, –3)

Step-by-step explanation:

Translation right or left means change of the x-coordinate.  

Translation up or down means change of the y-coordinate.

Translation right or up means adding.

Translation left or down means  subtracting.

[tex]A=(x_A, y_A)\quad\rightarrow\quad B=(x_A+4,\,y_A-4)\\\\x_A+4=12\qquad\qquad y_A-4=-7\\\\x_A=12-4\qquad\qquad y_A=-7+4\\\\x_A=8\qquad\qquad\qquad y_A=-3\\\\A=(8,-3)[/tex]

Please help! Divide. Write the quotient in lowest terms.

Answers

The correct answer for this would be 32/5

What do the words coefficient and constant mean in mathematics?

Answers

Answer:

Step-by-step explanation:

Coefficients are the numbers that come BEFORE a variable, just as 55 is in the term 55x. Constants are numbers in an equation that never change, unless you add them with another constant. For example, in the equation 34x+55=24, the constants are 55 and 24. The only way that either changes is by subtracting the 55 from the 24.

coefficients are the numbers before a variable (e. 4b) and constants are numbers that say the same, or numbers wo a variable (e. 4)

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.

Answers

Answer:

(x + 5) is not a factor of, [tex] f(x) = x^ 3 − 4x^2 + 3x + 7 [/tex]

Step-by-step explanation:

[tex] f(x) = x^ 3 − 4x^2 + 3x + 7 \\ \\ let \: x + 5 = 0 \\ \implies \: x = - 5 \\ \\ plug \: x = - 5 \: in \: f(x) \\ \\ f( - 5) = ( - 5)^ 3 − 4( - 5)^2 + 3( - 5) + 7 \\ \\ f( - 5) = - 125 − 4(25) - 3( 5) + 7 \\ \\ f( - 5) = - 125 − 100 - 15 + 7 \\ \\ f( - 5) =7 - 240 \\ \\ f( - 5) = - 233 \\ \\ \because \: f( - 5) \neq 0 \\ \implies \: remainder\: is\: not\: zero\\ \therefore \: (x + 5) \: is \: not \: a \: factor \: of \: \\ f(x) = x^ 3 − 4x^2 + 3x + 7 \\ [/tex]

I’m gonna use the remainder theorem so if a polynomial p(x) is divided by x-a the remainder obtained is p(a) therefore

X= -5

Then just plug in -5 in the function and if the result is 0 then is a factor

(-5)^3 - 4(-5)^2 + 3(-5) + 7 = -233

Therefore x+5 is not a factor

Which of the following best describes an Extraneous Solution?

Answers

Answer:

An extraneous solution is a solution obtained through algebraic manipulations that is not a solution to the original equation.

Step-by-step explanation:

An extraneous solution is a solution obtained through algebraic manipulations that is not a solution to the original equation.

Two spheres have a scale factor of 1:3. The smaller sphere has a surface area of 16 ft2. Find the surface area of the larger sphere.

Answers

Answer:

48ft^2

Step-by-step explanation:

Given that:

Small and large Spheres have a scale factor of 1 : 3

Hence,

Smaller sphere = 1

Larger sphere = 3

Surface area of smaller sphere = 16ft^2

Hence,

Surface area of larger sphere = (3 * 16ft^2) = 48ft^2

I WILL MARK BRAINLIEST!
A cylindrical well is 20 meters deep and has a diameter of 1.5 meters. Approximately how many cubic meters of soil were dug out to make the well? (Use π = 3.14.) (5 points)

11.78 cubic meters
35.33 cubic meters
121.20 cubic meters
141.30 cubic meters

Answers

Answer:

35.33

the drill use the volume formula for a cylinder then plug in the numbers

Here is a list of ages (years) of children in a room

8,7,5,4,7,7,2

State the median

Answers

Answer:7

Step-by-step explanation:

To find the median you need to first put the number in order from least to greatest this would be 2, 4 ,5, 7, 7, 7, 8

next you have to find the number in the middle

That is your median, 7 is your median.

I don’t know how to do this

Answers

Answer:

the following points: (6,-1),(2,-4), and (-2,3)

Step-by-step explanation:

imagine that the y axis is a mirror. Everything that happens is reflected. So (1,2) becomes (-1,2) so your three points are (-6, -1),(-2,-4), and (2,3) when you reflect them, you get the following points: (6,-1),(2,-4), and (-2,3)

Solve the following equation: -3 = 1 3/5 + m.

-2 3/5
-4 3/5
-4 2/5
-1 2/5

Answers

Answer:

-4 3/5

Step-by-step explanation:

I subtracted 1 3/5 from -3 and got -4 3/5. I also added 1 3/5 + -4 3/5 to check my work and it is correct.

Solve.

−35x=18

−30

−1045

1045

30

Answers

Answer:

if you're trying to solve  -35x= 18   .. then do the following

Step-by-step explanation:

x = -18 / 35

x= -0.5142857143

I'm guessing that b/c the answer is not an easy number that you probably are trying to do something else. .. ask again  :)

Answer:

−30

Step-by-step explanation:

−3x^ 2 +6x+9=
factor

Answers

Answer:

the answer in factor form would be

-3(

HELP I WILL GIVE MANY THX AND BRAINLIST (it says high school but im in middle)
what is 5⁴ in expanded form

Answers

Answer:

5 * 5 * 5 * 5

Step-by-step explanation:

=625

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g Machinery was purchased for $400000 on January 1, 2022. Freight charges amounted to $14000 and there was a cost of $36000 for building a foundation and installing the machinery. It is estimated that the machinery will have a $50000 salvage value at the end of its 4-year useful life. What is the amount of accumulated depreciation at December 31, 2023 if the straight-line method of depreciation is used The volume of a rectangular prism is represented by the function xrepresenting the width of the box.Ox- 4OX-1Ox+1Ox+4 WILL GIVE BRAINLIEST!!Write a letter from Phyllis Wheatley's point of view explaining her actions, beliefs, hopes, and future plans. In other words, this letter should be written as if your chosen person wrote it. It should contain specific details about the events during this person's time. PLEASE HELP FAST WHAT IS THE ANSWER FOR THIS QUESTION I WILL GVIE BRAINLIST AND EXTRA POINTS FOR CORRECT ANSWER THANKS!! can anyone help me with this math question please answer them alll 50 pointsReview the function equation below.y = 9x + 3Enter the slope of the function in the box.Question 2 (1 point)Question 2 options:Review the function equation below.y = 9x + 3Enter the y-intercept of the function in the box.Question 3 (1 point)Question 3 options:Review the function equation below.y = 5x 7Enter the slope of the function in the box.Question 4 (1 point)Question 4 options:Review the function equation below.y = 5x 7Enter the y-intercept of the function in the box.Question 5 (1 point)Question 5 options:Review the function table below.Enter the slope of the function in the box.Question 6 (1 point)Question 6 options:Review the function table below.Enter the y-intercept of the function in the box.Question 7 (1 point)Question 7 options:Review the function table below.Enter the slope of the function in the box.Question 8 (1 point)Question 8 options:Review the function table below.Enter the y-intercept of the function in the box.Question 9 (1 point)Question 9 options:Review the function graph below.Enter the slope of the function in the box.Question 10 (1 point)Question 10 options:Review the function graph below.Enter the y-intercept of the function in the box. 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