Find the sum of a 22-term arithmetic sequence, where the first term is 7 and the last term is 240.

Answers

Answer 1

Answer:

The sum of the arithmetic series is 2717.

Step-by-step explanation:

The sum of an arithmetic sequence is given by:

[tex]\displaystyle S = \frac{k}{2}\left( a + x_k\right)[/tex]

Where k is the number of terms, a is the initial term, and x_k is the last term.

There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

[tex]\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}[/tex]

In conclusion, the sum of the arithmetic series is 2717.


Related Questions

Find the missing side of triangle

Answers

Answer:

30.

Step-by-step explanation:

x^2 = 24^2 + 18^2

x^2 = 576 + 324 = 900

x = sqrt900 = 30.

Isabel and Sophia share a bag of 42 sweets. Isabel has 16 sweets. Find the ratio of Sophia's sweets to Isabel's sweets.

Answers

Answer:

ratio of Sophia's sweets to Isabel's sweets is

13:8

Answer:

you first have to find the number of sweets that sophia got.by subtracting the total number of sweets minus the number of sweets that isabel got which will be

42-16=26

therefore the ratio will be

16:26

8:13

I hope this helps

PLEASE EXTREMELY URGENT!!!
what is the solution to -2(8 x - 4) < 2x + 5

o x>1/6
o x<1/6
o x>6
o x<6

Answers

Answer:

1/6 <x

Step-by-step explanation:

-2(8 x - 4) < 2x + 5

distribute

-16x+8 < 2x+5

Add 16x to each side

-16x+16+8 < 2x+16x+5

8<18x+5

Subtract 5 from each side

8-5 < 18x+5-5

3<18x

Divide by 18

3/18 <18x/18

1/6 <x

I think it migth be the first one

give me brainlieSt

it is 1/6

i need B.

EMERGENCY THANK YOU VERY MUCH!!!

Answers

Answer:

A. Mean = 9.7 (take all the numbers and divide by 10)

Mode = 12

Range = 5

B. Unsure. Would suggest either Mean - average and can tell when bus is running late or early or Mode - highest and lowest time combined

Translate this sentence into a equation. The sum of 22 and chau’s are is 54. Use the variable c to represent chums age

Answers

Answer:

22+c=54

Step-by-step explanation:

22 + his age =54

The greatest number which on dividing 1657 and 2037 leaves nemainder 6 ands respectively is?​

Answers

Answer:

It would be 127

Step-by-step explanation:

We see that they only have 127 common in their prime factorization. Hence, HCF(1651, 2032) = 127. Hence, the greatest number which divides 1657 and 2037 leaves a remainder of 6 and 5 respectively is 127.

Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?

Answers

Answer:

Leo's weight at the end of the fourth week = 181.7 pounds

Step-by-step explanation:

Leo's initial weight = 190 pounds

First week = lost 4.3 pounds

New weight = 190 pounds - 4.3 pounds

= 185.7 pounds

Second week = lost 2.8 pounds

New weight = 185.7 pounds - 2.8 pounds

= 182.9 Pounds

Third week = gained 0.7 pounds

New weight = 182.9 pounds + 0.7 pounds

= 183.6 pounds

Fourth week = lost 1.9 pounds

New weight = 183.6 pounds - 1.9 pounds

= 181.7 pounds

Leo's weight at the end of the fourth week = 181.7 pounds

Alternatively

New weight = initial weight - first week - second week + third week - fourth week

= 190 - 4.3 - 2.8 + 0.7 - 1.9

= 181.7 pounds

Amanda teaches the art of quilling to 4 students. These students each teach the art of quilling to 4 other students. This process continues through 3 more generations.

Answers

4x4=16 16x3=48 so I think the answer is 48

Carrie rolls two 1-6 number cubes. How many outcomes are possible?​

Answers

Answer:

36

Step-by-step explanation:

The first dies has 6 possible outcomes

1,2,3,4,5,6

The second die has 6 possible outcomes

1,2,3,4,5,6

6*6 = 36

There are 36 outcomes

First Sample space

[tex]\\ \sf\longmapsto S=\left\{1,2,3,4,5,6\right\}[/tex]

[tex]\\ \sf\longmapsto |S|=6[/tex]

Now There are two cubes mean n=2

[tex]\\ \sf\longmapsto |S|^n[/tex]

[tex]\\ \sf\longmapsto 6^2[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

what is the measure of B?

Answers

Answer:

A. 28°

Step-by-step explanation:

Since sides AC and AB are congruent, their opposite angles are congruent.

m<B = m<C = 28°

Answer: A. 28°

Answer:

The answer is A

Step-by-step explanation:

What you have is an isosceles triangle. AC = AB <A cannot be 28 degrees so the triangle is not equilateral.

If the 2 sides are equal, the 2 angles opposite these equal sides are also equal.

<B = <C

<C = 28 degrees

<B = 28 degrees

Please help asap!!!!

Answers

Answer:

1. B,D

2. D

3. C

4. J

Step-by-step explanation:

1. The mayor of the city of Cleveland wants to increase taxes in order to invest in a light-rail transit system. She hires a polling agency to randomly
select 750 registered voters in the city to survey in order to determine the maximum percentage increase in municipal taxes that they would
approve. What is the population in this survey and the population parameter?
All American citizens and the maximum percentage increase in taxes
750 registered voters in Cleveland and the average light-rail transit cost per mile
O All registered voters in Cleveland and the maximum percentage increase in taxes
O Citizens over 65 years of age in Cleveland and the 750 registered voters

Answers

Answer:

All registered voters in Cleveland and the maximum percentage increase in taxes

which of the following equations is an example of direct variation?

Answers

Answer:

C

Step-by-step explanation:

[tex] \frac{x}{3} [/tex]

Planes X and Yand points J, K, L, M, and N are shown.

Exactly how many planes contain points J, K, and N?

X

O 0

O 1

O 2

03

K

Υ

2

.M

.N

Answers

Answer:

0

Step-by-step explanation:

0

Number planes contain points J, K and N is 0. Therefore, option A is the correct answer.

What is a plane?

A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature.

Given that, X and Y are planes.

In the given figure, point J lies outside the X and Y planes.

Points K and N are lies on plane X.

So, J, K and N are not lying in the same plane.

Therefore, option A is the correct answer.

Learn more about the coordinate plane here:

https://brainly.com/question/24134413.

#SPJ7

mp rs 700 and sp rs 524 find discount step by step.

Answers

Cost price=CP=700Sold price=SP=524

[tex]\boxed{\sf Discount=CP-SP}[/tex]

[tex]\\ \sf\longmapsto Discount=700-524[/tex]

[tex]\\ \sf\longmapsto Discount=176[/tex]

Answer:

cost price(cp)=rs.700

sold price(sp)=rs.524

discount =cp-sp

discount =700-524

discount =rs.176

What is the slope of the line?

Answers

Answer:

A number that describes both the direction and the steepness of the line is known as slope of the line .

order the following expressions by their values from least to greatest

Answers

N-Q, N, Q-N

Explanation: N=-2/Q=1
Equations:
-2-1=-3(N-Q)
-2(N)
1- -2=3(Q-N)

Express 4 in simplest radical form.

Answers

Answer:

2

Step-by-step explanation:

The function m is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
m(x) = 2(x +4)^2 – 8
m(x)= 2x^2 + 16x + 24
m(x)=2(x+6)(x+2)

Write one of the zeros

Answers

Definitely C, the last one

which letter has horizontal not vertical symmetry H, W, Y, E

Answers

The best answer out of all of that is W if I’m right

I thing W,Y is righ am i right.

Plzzz help 10 points and will mark brainiest
hint: answer is a fraction

Answers

Answer:

1/3

Step-by-step explanation:

The left side of FA is 6 units.

The left side of FB is 2 units.

From 6 to 2, you divide by 3.

Same for the top,

FA is 9 units, while FB is 3 units.

I hope this helps!

pls ❤ and mark brainliest pls!

factorise 12x²+15xy. ​

Answers

Answer:

3x(4x+5y)

Step-by-step explanation:

to factorise this equation you have to remove the common terms,or the common factors in this case the common factor for both sides is 3 and the common letter is x

12x²+15xy

3x(4x+5y)

I hope this helps

Problem 2 Find the mBC.

Answers

Answer:

38º

Step-by-step explanation:

<BAC is a central angle. The corresponding arc, BC will be equal to the measure of the central angle.

So mBC = 38º

the prouduct of any two irrational number is​

Answers

Answer:

mostly rational but sometimes irrational

The product of any two irrational number can be rational or irrational depending on the two numbers.

If angle DCA measures 65 degrees, then angle ACB measures _____ degrees.

90
25
65

Answers

DCB form a right angle which is 90 degrees.

The two inside angles need to equal 90

ACB = 90-65 = 25

Answer: 25

Answer:

25

Step-by-step explanation:

its correct

The product of 2 and a number x is 34.

What is the value of x?


x=54

x=38

x=114

x=32

Pls help me with this guyssss plssss ( I will give brainliest too!) :)

Answers

Answer:

x = 17

Step-by-step explanation:

The product of 2 and a number x is 34 =

2x = 34

x = 34/2

x = 17

Answer:

x=17

Step-by-step explanation:

Product means multiply  is means equals

2x = 34

Divide each side by2

2x/2 = 34/2

x = 17

The lines below are perpendicular. If the slope of the green line is ž, what is
the slope of the red line?
-5
5
m =

Answers

Answer:

B or (-2/3)

Step-by-step explanation:

Perpendicuar lines have negative inverse slopes SO

3/2 ---> -2/3

irrational numbers on a number line pls help!!

Answers

You need to find simple values close to the actual ones asked.

sr(16) = 4 so -sr(17) is slightly below than -4

cr(8) = 2 because 2x2x2=8 so cr(9) is slightly above 2

cr(1) = 1 and cr(8) = 2 so cr(4) is between 1 and 2

Try the others yourself.
-

Must show work! PLEASE DO THIS ASAP!
No links

Answers

Answer:

37.68

Step-by-step explanation:

The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68

[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]

r = 6 inches

π = 3.14

[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]

[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]

[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]

A paper factory needs to ship an order for 4,500 sheets of yellow paper. The factory will put 50 sheets in each box. How many boxes will the paper factory need to us

Answers

Answer:

90

Step-by-step explanation:

If they put 50 sheets per box, then it is just simple division.

4,500 divided by 50 is 90.

Answer:

90 boxes

Step-by-step explanation:

They need to ship 4500 sheets of paper.

They put 50 pages in each box.

# of boxes they will need = amount of paper / amount of paper they put in each box

# of boxes they will need = 4500 / 50 = 90

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