What is the sum of the of what is the sum of the given arithmetic series?
5 + 8 + 11 + ... + 92
O 1554
O 1545
O 1455
O None of these

Answers

Answer 1

Answer:

3rd option : 1455

Step-by-step explanation:

here, a = 5, d = 3 , tn = 92, n = ?, Sn = ?

tn = [a + (n - 1) d]

92 = [ 5 + (n - 1)d

92 = 5 + 3n - 3

92 - 5 + 3 = 3n

90 = 3n

n = 90/3

n = 30

By sum of first n terms of an A. P formula,

Sn = n/ 2 [ 2a + (n - 1) d]

Sn = 30/2 [ 2 * 5 + (30 - 1) 3]

Sn = 15[ 10 + 29 ( 3) ]

Sn = 15[ 10 + 87 ]

Sn = 15( 97 )

Sn = 15 * 97

Sn = 1455

Therefore, option 3rd 1455 is correct.


Related Questions

A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet.

A prism has a length of l, width of 2, and height of 6 feet.

Given what you know about the figure, complete these sentences.

The area of the square base is
feet2.
The length of the prism is
feet.
The width of the prism is
feet

Answers

A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet.

A prism has a length of l, width of 2, and height of 6 feet.

Given what you know about the figure, complete these sentences.

The area of the square base is
feet2.
The length of the prism is
feet.
The width of the prism is
feet

Answer:

Its 16 4 4

Step-by-step explanation:

if we got the same question then this should be correct :)

A cyclist rides his bike at 12 miles per hour. What is this speed per minute? How many miles will the cyclist travel in 20 minutes? Do not round you answers. Help thx

Answers

Answer:

In order to find the distance traveled in one minute, you have to divide the distance he can ride his bike in an hour by the number of minutes in a hour. 6/60= .1 mile per minute. If he rides his bike for five minutes, then you would multiply the number of minutes biked by the distance traveled in a minute. .1*5=.5 mile, or [tex]\frac{1}{2}[/tex] mile.

Step-by-step explanation:

The cyclist will travel 4 miles in 20 minutes.

What is Speed?

Speed is the time rate at which an object is moving along a path,

To find the speed per minute, we can use the fact that there are 60 minutes in an hour. Therefore:

12 miles per hour = 12/60 miles per minute = 0.2 miles per minute

So the cyclist's speed is 0.2 miles per minute.

To find how many miles the cyclist will travel in 20 minutes, we can use the formula:

distance = rate x time

Plugging in the given values, we get:

distance = 0.2 miles per minute x 20 minutes

distance = 4 miles

Therefore, the cyclist will travel 4 miles in 20 minutes.

To learn more on Speed click:

https://brainly.com/question/28224010

#SPJ2

If alex is visiting her moms house and eats a pizza that has 6 triangular pieces, how long would it take for alex’s mom to reach the moon?

Answers

Answer:

MY GuYYYY wHat Is ThIS qUeSTioN?!?!?

Step-by-step explanation: I think the answer is green btw

Which transformation can NOT be used to prove that ABC is congruent to DEF?

Answers

Answer: it is dilation

Step-by-step explanation: i took the exam

Answer:dialation

Step-by-step explanation:

Sarah was colleting money for charity. By Sunday night she had collected 35% of her target amount. On Monday she collected another $40,which meant she had now collected 60% of her target amount. What was Sarah's target amount?

Answers

Answer:

350

Step-by-step explanation:

Susan's balance in her checking account was $155.75.
She spent $89.43 at the grocery store, and $128.04 at
the mall. What is Susan's new checking account
balance after the purchases? Type in your answer
without the '$' sign.

Answers

Theoretically she couldn’t spend that amount if money and thus her account balance will be negative. -61.72, to be precise.

Solve forx: 102-1= 5x + 6

Answers

Answer:

x=19

Step-by-step explanation:

102-1= 5x + 6

101=5x+6

95=5x

x= 19

Factor this polynomial completely.

x²- 64

A. (x+8)(x-8)
B. (x+64)(x-64)
C. (x-8)(x-8)
D. (x-64)(x-64)​

Answers

Answer:

B. (x+64)(x-64)

Step-by-step explanation:

x²- 64 = (x) ² - (8) ² =

(x+64)(x-64)

Answer is A. (x+8)(x-8)
Hope this helps

Is this correct????????

Answers

Answer:

ummm yes

Step-by-step explanation:

I believe sooo as well

which equation represents a line parallel to y= -2x+9

Answers

The equation of the parallel line is:

y = -2x + k

such that k ≠ 9.

How to represent the parallel line?

We know that two linear equations are parallel if they have the same slope and different y-intercept.

Then, a parallel line to:

y = -2x + 9

Would be something of the form:

y = -2x + k

such that k ≠ 9.

Then, for example:

y = -2x + 3

Is parallel to the given line.

If you want to learn more about parallel lines:

https://brainly.com/question/13763238

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A circular ring has a circumference of 264 cm. What is the diameter of the ring

Answers

Answer:

84.03380995252074

Step-by-step explanation:

Diameter = C/π = 264 / π ≈ 264 / 3.141592653589793 ≈ 84.03380995252074 cm

given the information in the diagram, which thermo best justifies why lines j and k must be parallel?​

Answers

B. Alternate exterior angles theorem

456 + 788 - 129 x 9 = ?

Also wanna converse? Lol

Answers

[tex]456+788-129\cdot \:9\\\\129\cdot \:9=1161\\\\456+788=1244\\\\1244-1161=83\\\\=83[/tex]

Yeah that should be right and sure

Marty drew a model of the school library, the total area of the floor is 132 square centimeters, What is the area of the shaded part of the model shown below​

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is B:72 square centimeters

Step-by-step explanation:

132-60=72

Hope this helps! :)

And have a great weekend!!

√320x^3 yz
simplify square roots

Answers

Answer:

[tex]8x\sqrt{5x}[/tex]yz

Step-by-step explanation:

before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]

Can someone plzzz helpp meeee

Answers

mis hermanos pelean
nosotros dormiremos
tu nunca iras al cine
yo leo mucho

Answer:

1) Pelean

2) dormimos

3) vas

4) leo

Step-by-step explanation:

Every day after school, Kelly and Bella walk their dogs around the block. The block is 274 meters long and 80 meters wide. What is the perimeter of the bloc

Answers

Answer:

708meters

Step-by-step explanation:

Given data

Lenght = 274meters

Width= 80 meters

The expression for the perimeter is

P= 2L+2W

substitute

P= 2*274+ 2*80

P= 548+160

P= 708 meters

Hence the perimeter of the block is 708meters

Sheri has two identical bags of marbles. Each bag contains five red, two white, and three blue marbles. What is the probability of Sheri drawing a red marble from the first bag and a blue marble from the second bag?

Answers

first bag: 5/10
second bag: 3/10


Advertising A bank manager wants to encourage new customers to open accounts with principals of
at least $2,500. He decides to make a poster advertising a simple interest rate of 3%. What must the
principal be if the bank manager also wants to advertise that one can eam $10 the first month? Can
the poster correctly say, "Open an account of $2,500 and earn at least $10 interest in 1 month!"?
Explain your answer (be careful he said 1 MONTH).

Answers

Answer:

The poster say, "Open an account of ​$3,500 and earn at least ​$10 interest in 1​ month!" is correct

Step-by-step explanation:

Given, A bank manager wants to encourage new customers to open accounts with principals of at least  $3,500.  

He decides to make a poster advertising a simple interest rate of 4.8%.  

We have to find what must the principal be if the bank manager also wants to advertise that one can earn  $10 the first month

We know that, banks offer simple interest  

In our problem, simple interest = $10, rate = 4.8%, time = 1 month

Let us see Can the poster correctly say, "Open an account of $3,500 and earn at least $10 interest in 1 month!"?

So now, in our problem, amount = $3500, rate = 4.8% and time = 1 month =

So, the statement is correct.

Hence, amount to be invested is $2500 and poster says correctly.

Find the volume and surface area of the composite figure. Give four answer in terms of π. HELP NEEDED NOW!!! THE RED IS THE ONE I GOT WRONG!!

Answers

Answer:

Divide the figure above into a cylinder and a dome

+) the volume of the dome is

[tex]v1 = \frac{1}{12} \pi6 {}^{3} = 18\pi[/tex]

the surface area is

[tex]s1 = \pi3 {}^{2} = 9\pi[/tex]

+) the volume of the cylinder is

[tex]v2 = \pi.3 {}^{2} .13 = 117\pi[/tex]

the surface area is

[tex]s2 = 2\pi.3.13 + 2\pi.3 {}^{2} = 96\pi[/tex]

so the volume of this figure is

[tex]v = v1 + v2 = 18\pi + 117\pi = 135\pi[/tex]

the surface area of this figure is

[tex]s = 9\pi + 96\pi = 105\pi[/tex]

Determine if the following relation is a function or not

Answers

1 is not. 2 is. 3 is not. 4 is. 5 is. 6 is. 7 is not. 8 is.

PLEASE HELP I GIVE BRAINLIEST

Answers

Answer: B. Triangle

Step-by-step explanation:

The vertical cross-section of a pyramid is a triangle, and the horizontal cross-section of a pyramid is a square.

HELP DUE IN 15 MINS!

x = ??

Answers

Answer:

x = 7

Step-by-step explanation:

Intersecting secants theorem:

8*(8 + 10) = 9*(9 + x)9x + 81 = 1449x = 63x = 7

Find the area of the circle to the nearest whole number, if necessary.

Answers

Answer:

Area of a Circle = πr²

R=Diameter/2

=21mm

=π(21)²

=1385.44mm²

To the nearest whole number

= 1385mm²

The answer is in mm². It may differ if the given answer is in m². You can get this by converting your radius to meters. This is done by dividing 21mm by 1000.

Bye!!!

157×23 show work pls​

Answers

Step-by-step explanation:

157×233611

hope it helps

stay safe healthy and happy.

Answer:3611

Step-by-step explanation:

157

x 23

do 157 x 3

add them one at a time. 157x carry the 3 and the two, oh and don’t forget to add 0 in the end after wards.

7x3:21 (carry the 2 leave the 1)

5x3: 17(leave 7, carry one)

3x1+1: 4

you get 471

now let’s do 2

do 157 x 2 to get 314

ok now add zero to the last one to get: 3140+471 and u get ur answer!

Draw an angle of -45 degrees in standard position . Then find the reference angle

Answers

Answer:

45°

Step-by-step explanation:

-45° would be 360°-45°=315°

Since 315° is in Quadrant IV, then its reference angle is 360°-315°=45°

So really, -45° is just 45° clockwise which is also our reference angle.


Solve for the missing value in the right triangle. Round answer to the tenths place.
4
X
410
B
A

Answers

Answer:

Step-by-step explanation:

PLEASE ANSWER ALL OF THESE 4 ME IM GIVING OUT BRAINLIEST AND 50 POINTS !!! D:

Answers

Answer and Step-by-step explanation:

1.

4 yards plus 8 yards equals 12 yards.

2 feet plus 2 feet equals 4 feet.

This totals to 12 yards and 4 feet.

2.

29 feet plus 5 feet equals 34 feet.

6 inches plus 5 inches equals 11 inches.

This totals to 34' 11".

3.

10:30AM

4.

0113

5.

1445

#teamtrees #PAW (Plant And Water)

PLEASE HELP..... PLEASE THX

Answers

Answer:

x = 30 and y = 50

Step-by-step explanation:

Given that,

The cost of 4 shirts and 1 pair of pants is $170 and the cost of 5 shirts and 2 pair of pants is $250.

Let the cost of 1 shirt is x and that of 1 pant is y.

So,

4x+y=170 .....(1)

5x+2y = 250 .....(2)

Multiply equation (1) by 2.

8x+2y=340 .......(3)

Subtract equation (2) from (3).

8x+2y-(5x+2y)=340-250

3x = 90

x = 30

Put the value of x in equation (1).

4(30)+y=170

120+y=170

y = 170-120

y = 50

Hence, the value of x is 30 and that of y is 50.

how to find x in 11x+63=360

Answers

Answer:

you get 27

Step-by-step explanation:

subtract 63 from both sides

then divide by 11

Answer:

answer: 27

Step-by-step explanation:

To find this you just have to do 11 multiplied by x + 63 so 11 × 27 = 297 and 297 + 63 = 360 so x = 27 Hope that helps!

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