Find the sum of the series -11 - 3 + 5 + 13 + ... + 125 using the series formula.

Answers

Answer 1

Answer:

1026

Step-by-step explanation:

Common difference = d = 2nd term  - first term

 d = -3 - (-11) = -3 +11 = 8

First term = a = -11

First we need to find the number of terms in this series

[tex]a_{n} = 125\\\\a + (n- 1)d = a_{n}\\\\[/tex]

-11 + (n- 1) * 8 = 125

 (n-1)*8 = 125 + 11

 (n-1) * 8 = 136

n -1 = 136/8

n -1 = 17

  n = 17+1

 n = 18

[tex]S_{n} =\frac{n}{2}(a+a_{n})\\\\S_{18} =\frac{18}{2}(-11+125)\\\\[/tex]

   = 9 * 114

   = 1026


Related Questions

Find the area

Help me please

Answers

Answer:

143

Step-by-step explanation:

to find the area we multiply half of the sum of the bases with height

(18+8)/2*11 = 143

Which point represents the unit rate?

Answers

Pretty sure the answer is C since the point is at 1 on the c-axis

Translate the problem into a mathematical sentence, using was your variable
name. Do not use spaces in your answer.
Lisa bought 15 CDs in December. Of those, 3 were jazz, the rest were world
music. How many world music discs did she buy?
HELPPP

Answers

Answer:

12

Step-by-step explanation:

Total CD's Lisa bought = 15

Jazz music = 3

World music = x

Find x

Total CD's Lisa bought = Jazz music + World music

15 = 3 + x

Subtract 3 from both sides of the equation

15 - 3 = 3 + x - 3

12 = x

x = 12

Therefore,

World music = x = 12

sue has 18 pieces of candy
tony has 18 pieces of candy
sue then gives some to tony
sue then eats five of hers
tony eats half of his
write the expressions for the number of pieces candy sue and tony now have?

Answers

Answer:

Sue candy = 13 - x

Tony candy = 9 + 1/2x

Step-by-step explanation:

Sue candy = 18

Tony candy = 18

Let x = some candy gives to tony

Sue candy = 18 - x

Tony candy = 18 + x

sue then eats five of hers

Sue candy = 18 - x - 5

= 13 - x

tony eats half of his

Tony candy = 1/2(18 + x)

= 18/2 + x/2

= 9 + 1/2x

Expressions for the number of pieces candy sue and tony now have:

Sue candy = 13 - x

Tony candy = 9 + 1/2x

Circumference of a circle with a diameter of 15 inches.

Answers

Answer:

Cir = d[tex]\pi[/tex]

C = 15[tex]\pi[/tex]

Step-by-step explanation:

Answer:

Exact Answer: 15π inches

Decimal Answer: 47.1 inches

Step-by-step explanation:

The unit is inches because circumference is one dimension.

1.) Circumference Formula: 2πr or dπ⇒d=diamater ⇒r=radius

2.) dπ=15π

3.) 15 × 3.14⇒approximate answer

At dinner, the number of quarts of water the restaurant sells is 36 fewer than twice as many as it sells at lunch. The restaurant sells 144 quarts of water at lunch and dinner combined. How many quarts of water does the restaurant sell at lunch?

Answers

Let x be the number of quarts of water it sells at lunch

Dinner = 2x - 36

Lunch = 2x

2x + 2x - 36 = 4x - 36

4x - 36 = 144

144 - 36 = 4x

4x = 108

x = 108 divided by 4 = 27

2x = 27 x 2 = 54

The restaurant sells 54 quarts of water at lunch.
54 quarts of water!!!!

What is the order of rotational symmetry of a regular pentagon?

Answers

Answer:

yeet

Step-by-step explanation:

urmom

Sorry just needed points

Help! Can you please help

Answers

Answer:

14)= 2/3/23 × 1/9/14

= 49/23 × 23/14 = 3/1/2

U CAN USE A CALCULATOR to find the rest......If u have one....

Step-by-step explanation:

11. 1.8

12. 22.6

13. 1.66

14. 3.5

What could be the possible "one's" digits of the square root of the number 183184? 2 or 8 4 or 6 2 or 6 only 2

Answers

Answer:

2 or 8

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

Given the following number;

183184

Taking the square root, we have;

√183184 = 428

The place value of 4 is hundreds.The place value of 2 is tens.The place value of 8 is ones or units (8 is in ones place).*

Therefore, the possible "one's" digits of the square root of the number 183184 is 2 or 8.

find the percent of soccer and cross country kids in the fall

Answers

What’s your question ?

Answer the following question.
You earn $8 per hour at a pizza parlor. Last week, you made $288. How many hours did you work in order to make that
much money?

Answers

Answer: 36 hours
In order to figure this out, you divide the total amount of by the amount made per hour so that would be 288/8 which equals 36

1) Venn-diagram of-
AUBUC={a,b,c,d,e}U{d,e,f,g,h,i}U{a,e,i,o,u}

Answers

Answer:

AUBUC= { a,b,c,d,e,f,g,h,i,o,u}

Express each of the following decimal number in p/q form
3.127bar​

Answers

Answer:

3124/999

Step-by-step explanation:

x = 3. 127 127 ....... -------------(I)

127 -----> 3 digits are repeating. so multiply both sides by 1000

(I)*1000             1000x = 3127.127127......

                                 x =       3.127127......        [Now subtract}

                           999x = 3124

x = 3124/999

Fourth and fifth graders planted trees alongside the road. The distance between two trees is 5 meters how many trees did they plant if the distance between the first and last trees is 200 meters?

Answers

Hey!!

[tex]$\mathcal{PROCESS:}$[/tex]

[tex]{\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}[/tex]

The distance between two trees is 5 meters.the distance between the first and last trees is 200 meters

To know the result of trees we will do the following steps...

We will divide the distance from the first to the last tree by 5, and with this we would have the result:

[tex]200/5=?[/tex]

Result:

40 trees were planted

ATT- Brook2007s

Answer:

41 Trees

Step-by-step explanation:

A class of x students has planned a picnic.Each student paid Rs 60. If out of total collection, Rs 1500 is paid in advance for transport, how much money is left with them to spend on other items

Answers

Answer:

Balance = 60x-1500

Step-by-step explanation:

Given data

total number of students= x student

amount paid by each student= Rs 60

Total amount= Rs 60*x

Advance paid for transport= Rs 1500

Hence the balance is = 60x-1500

area of trapezoid? i keep getting it wrong lol the shape is confusing to me please help

Answers

Answer:

Area= [tex]154m^{2}[/tex]

Step-by-step explanation:

A= [tex]\frac{a+b}{2} h=\frac{12+16}{2} (11)=154[/tex]

solve for x round to the nearest tenth of a degree,if necessary.​

Answers

Answer:

Solution given:

Cos X=Adjacent/hypotenuse

Cos X=6.5/8.4

x=Cos-¹(6.5/8.4)

x=39.3°

Jorge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.
Jorge should graph in the vertical line with values of –4 for the line of reflection.
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
Jorge will not move any point that lies on the line of reflection.
Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Jorge could check his work by making sure that the image has the same orientation as the original.

Answers

Answer:

B: Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.

D: Jorge will not move any point that lies on the line of reflection.

E: Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.

Step-by

i just took the test lol

Answer:

BDE are the answeres

Step-by-step explanation:

took the quiz

Lindsey is a member of the swim team at a local university. She has been working hard to perfect her dive for an upcoming swim meet. Lindsey's dive can be modeled by the quadratic equation y = – 16x2 + 33x + 45, where x is time in seconds, and y is Lindsey's height in the air in feet.

Answers

Answer:

There is no actual question here, this is just a statement.

re-read the question .... i assume it says "what is the highest that she will get during a dive?"

highest point is at t = 33/32  

– 16(33/32)^2 + 33(33/32) + 4 =

62.015625

Step-by-step explanation:

Lindsey will be 30 feet in the air at approximately 1.09 seconds and 2.48 seconds.

To find the time at which Lindsey will be 30 feet in the air, we need to solve the quadratic equation y = -16x² + 33x + 45 for x when y = 30.

Setting y equal to 30, we have:

30 = -16x² + 33x + 45

Rearranging the equation, we have:

16x² - 33x - 15 = 0

To solve this quadratic equation, we can factor or use the quadratic formula. In this case, factoring might be more challenging, so we'll use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values from our equation, we have:

x = (-(-33) ± √((-33)² - 4(16)(-15))) / (2(16))

Simplifying, we get:

x = (33 ± √(1089 + 960)) / 32

x = (33 ± √(2049)) / 32

Calculating the square root of 2049, we have:

x = (33 ± √(2049)) / 32

x ≈ 1.09 or x ≈ 2.48

To learn more about quadratic equation click on,

https://brainly.com/question/27958207

#SPJ2

Complete question is:

Lindsey is a member of the swim team at a local university. She has been working hard to perfect her dive for an upcoming swim meet. Lindsey's dive can be modeled by the quadratic equation y = – 16x² + 33x + 45, where x is time in seconds, and y is Lindsey's height in the air in feet.

At what time will Lindsey be 30 feet in air?

Peter owned a juice shop. He sold a cup of lemon juice for $1.25 and a cup of apple juice for $2.50. If Peter sold a total of 155 cups of juice and collected a total of $256 approximately, how many cups of each type did he sell?

Answers

The number of cup of lemon juice is 105 cups and number of cup of apple juice is 50 cups.

What is a system of equation?

A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.

For the given situation,

Peter sold a cup of lemon juice = $1.25

Peter sold a cup of apple juice =  $2.50

Total number of cups sold = 155 cups

Total amount = $256

Let number of cup of lemon juice be x and

let number of cup of apple juice be y

The equations for the above statements are

[tex]x + y = 155 ------- (1)\\1.25x +2.50y = 256 ------- (2)[/tex]

From equation 1,

⇒ [tex]x=155-y[/tex]

Now substitute x in equation 2,

⇒ [tex]1.25(155-y)+2.50y=256[/tex]

⇒ [tex]193.75-1.25y+2.50y=256[/tex]

⇒ [tex]1.25y=256-193.75[/tex]

⇒ [tex]1.25y=62.25\\[/tex]

⇒ [tex]y=\frac{62.25}{1.25}[/tex]

⇒ [tex]y=49.8[/tex] ≈ [tex]50[/tex]

Now substitute y in equation 1,

⇒ [tex]x=155-50[/tex]

⇒ [tex]x=105[/tex]

Hence we can conclude that the number of cup of lemon juice is 105 cups and number of cup of apple juice is 50 cups.

Learn more about the system of equation here

https://brainly.com/question/12760602

#SPJ3

Find the TWO integers whos product is -12 and whose sum is 1

Answers

Answer:

The two INTEGERS are :-

-3 and +4

-3 * (+4) gives us -12

-3 + (+4) gives us 1

hope it helps

have a nice day

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3.

A boy bought an article for £9. He spent £4
repairing it and sold it for £18. Calculate the gain
percent on his total costs. (to nearest %)
Help

Answers

Answer:

Profit % = 39%

Step-by-step explanation:

Cost price of the article = 9

Price for repairing = 4

Therefore, Total cost of the article = 9 + 4 = 13

Selling price  of the article = 18

Profit = 18 - 13 = 5

Hence,

          [tex]Profit \% = \frac{Profit}{Cost \ price} \times 100\\\\[/tex]

                        [tex]= \frac{5}{13} \times 100\\\\=38.46 \%\\\\=38.5 \%[/tex]

Profit percent (to the nearest %) = 39%

find f(-2)for f(x)=5*3^x

Answers

f ( - 2 ) = 5 × 3^( - 2 )

f ( - 2 ) = 5 × 1/9

f ( - 2 ) = 5/9

Player 1 starts with $10. Suppose that Player 1 gives $2 to Player 2. How much money will Player 2 get?
$0
$2
$6

Answers

Answer:

$2

Step-by-step explanation:

If Player 1 gives $2 to player 2, then player 2 would have $2 and player 1 would have $8

plzzz help
thank u for those who help

Answers

Answer:

SAS

Step-by-step explanation:

As per the given diagram, the following facts are evident.

(BR) = (CR), Both sides have two small orange lines on them. This shows that these sides are congruent.

(<B) = (<C), this is shown by the box around both angles, indicating that both angles have a measure of (90) degrees.

(AB) = (AC), Both sides have one small orange line on them. This indicates that these sides are congruent to each other.

Therefore, the sides are congruent by the theorem (SAS); side-angle-side, congruence.

c) Which of these numbers is a square number?
A
4 x 105
B
9 x 104
С
4 x 103
D
9 x 103

Answers

The answer is B 9 x 10^5
Because the root of it is 300

what is gravity write it's SI system ​

Answers

Step-by-step explanation:

gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

its Sl unit is m/s².

hope it helps.stay safe healthy and happy.

If the value of a is negative the line is what?

Answers

Answer:

Down to the right.

Like down hill

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

in the equation y = ax, a would be the slope

if the slope is negative, then the line goes from down to the right

I did an example on desmos to show you

A Warming Liquid - A liquid is taken out of a refrigerator and placed in a warmer room, where its temperature, in F, increases over time. It can be modeled using the equation Tm 74 390.87m. (a) What temperature did the liquid start at? Show the work that leads to your answer. (b) What is the temperature of the room?

Answers

Answer:

The temperature at the start is 35F

The temperature of the room is 74F

Step-by-step explanation:

Given

[tex]T(m) = 74 - 39(0.87)^m[/tex]

Solving (a): The temperature at the start.

To do this, we set: [tex]m = 0[/tex]

So, we have:

[tex]T(0) = 74 - 39(0.87)^0[/tex]

[tex]T(0) = 74 - 39*1[/tex]

[tex]T(0) = 74 - 39[/tex]

[tex]T(0) = 35[/tex]

Hence, the temperature at the start is 35F

Solving (b): The room temperature

We have:

[tex]T(m) = 74 - 39(0.87)^m[/tex]

To get the temperature of the room, we simply remove the exponential function.

So, we have:

[tex]Initial = 74[/tex]

Hence, the temperature of the room is 74F

The initial temperature of the liquid is 35 F and the room temperature is 74 F.

What is Melting Point?

The melting point is the temperature at which the solid starts converting into liquid.

Given here,

[tex]T_m = 74- 39(0.87)^m[/tex]

Leat the [tex]m = 0,[/tex]

So,

[tex]T_0 = 74- 39(0.87)^0\\\\T_0 = 35 \rm \ F[/tex]

Thus the initial temperature is 35 F.

Now remove the exponential to get the room temperature,

So,

[tex]T_{RT} = 74[/tex]

Therefore, the initial temperature of the liquid is 35 F and the room temperature is 74 F.

Learn more about the Melting point:

https://brainly.in/question/608391

will make brainliest, please help​

Answers

-5x+4y=2
9x-4y=6

eliminate the 4y as a positive 4 + negative 4 =0
this will leave you with
-5x=2
9x=6
add them
4x=8
divide both sides by 4

x=2


to find y, plug in x=2 for any one of the original equations

-5(2)+4y=2
-10+4y=2

add 10 to both sides

4y=12

divide both sides by 4

y=3

the final answer is (2,3)
Other Questions
HELP ASAP!!!! 50 points!!In this task, youll record the direction of a compass as its placed at different points around a magnet. The investigation will try to answer the question, Do two magnets create magnetic force fields that allow them to interact without touching?Part D : How might someone dispute the results of this investigation? How might you counter the argument? why might the melting point of the crystals obtained in this experiment be close to but below one of the reference melting points and melt slowly over several degrees pls pls helpHow many solutions does the equation 3x + 6 = 1 3 + 4x have? TwoZeroOneInfinitely many The functions f(x) and g(x) are shown on the graph.f(x) = x2What is g(x)?10-If(x)110-5510g(x)-10A. g(x) = ( x)2 - 3B. g(x) = x2 + 3 c. g(x) = (-x)2 + 3D. g(x) = -X2 - 3 What is wage cuts going to do to the American family during the Depression? Compute P(B) using the Classical Method. Round your answer to two decimal places. Mylo is tracking the amount of calories he is consuming each day, along with his amount of exercise. He also takes his basal metabolic rate into consideration, which is 1,780 calories per day. At the end of the first day, he has consumed 2,000 calories in food and beverages and burned 450 calories with intense cardio training, giving him a 230 calorie deficit for the day. What will most likely be the outcome if Mylo continues this pattern for multiple weeks?A. He will gain weight. B. He will lose weight.C. His weight will stay about the same.D. His weight will shift up and down. 62. A chemist mixes 15 liters of 40 percent acid solution and 25 liters of 20 percent acid solution.What percent of the mixture is acid? 1. When did they open the London underground? Directions Answer the following questions. Write the letter of the correct answer.11. The sub or dinating conjunctions if, unless, provided that are examples ofA comparisonB. conditionD. reason12. The sub ordinating conjunctions which connect the two dauses together by showing how something isdone.A concessionC. mannerB. comparisonD. tine13. All are examples of subordinating conjunction under renson except one.A becauseC. rather thanB. in order1. so that14 The conjunction than is used to showA comparisonB. conditionC. mannerD. reason15. The main clause is also known asA. dependent clauseB. independent classeC. subordinating dause11. supreme clause16 This is a category of subordinating conjunctions which links the dependent and independent clauses byconceding a point between them.A comparisonC. concentrationB. compositionD. concession17. It is used to show a relationship between two parts of a sentence.A coordinating conjunctionC. supporting conjunctionB. subordinating conjunctionD. relative conjunction2718. A subordinating conjunction related to conditionA. althoughC. even thoughB. even ifD. rather than19. The examples ofare rather than whether, as much as,A. comparisouC. conditionB. concessionD. reason20. It is an example of subordinating conjunction in the eategory of place.A. whateverC. whereverB. whetleverD. Whoever The general shape that an electron is located within an energy level_____ Please help! Awarding Brainly :) The work function of an element is the energy required to remove an electron from the surface of the solid. The work function for palladium is 503.7 kJ/mol (that is, it takes 503.7 kJ of energy to remove 1 mole of electrons from 1 mole of Pd atoms on the surface of Pd metal). What is the maximum wavelength of light that can remove an electron from an atom in palladium metal 6969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969669696969696969696969696969 Why was it unusual that african supported fdr? a. Fdr was a democrat, and most african americans voted republican b. Fdr was white, and most african americans only voted for black candidates c. Fdr democrat, but southern democrats opposed him d. Fdr was from the north, and and most african americans voted only for southerners Had he not been resigned should president Nixon have been impeached and removed from office? Help and explain pls and thankyouuu There are six different candidates for governor of a state. In how many different orders can the names of the can- didates be printed on a ballot Factorizea-3ab+b What framework is used for transporting authentication protocols instead of the authentication protocol itself