For the arithmetic sequence beginning with the terms {-2, 0, 2, 4, 6, 8...}, what is the sum of the first 18 terms?

Answers

Answer 1

Answer:

The sum of the first 18 terms is 270.

Step-by-step explanation:

First the 18th term is calculated which is gotten using the following steps below:

an = a1 + d ( n - 1 )

Where, an =18th term

a1= first term (-2)

d = difference

n = 18

Therefore, 18th term

an= -2 + 2 (18 - 1)

= -2 + 2 (17)

= -2 + 34

18th term = 32

To calculate the sum of the first 18th terms the following steps are used,

Sn = n(a1 + an)/2

Where,

Sn = sum of 18th term

n = 18

a1 = -2

an = 18 term

Therefore,

Sn = 18 (- 2+ 32)/2

= 18 (30)/2

= 18 ×30 /2

= 540/2

= 270


Related Questions

Profit and Loss question class -9 ​

Answers

Answer:

Rs 2.25

Step-by-step explanation:

S.P. = 375 * 3.36 = 1260

C.P. = 1125. for 500 mangoes

So for 1 mango,

C.P. = Rs 2.25

Answer:

₹2.25

Step-by-step explanation:

Selling price of 1 mango = ₹3.36

Mangoes in good state = 500 - 125 = 375

Selling price of 375 mangoes = 3.36 *375 = ₹ 1260

Cost price = [tex]\frac{100}{100+profit}*SP[/tex]

                [tex]= \frac{100}{100+12}*1260\\\\=\frac{100}{112}*1260\\\\= 1125[/tex]

   Cost price of 500 mangoes = ₹ 1125

CP of 1 mango = 1125/500 = ₹2.25

please help me i have 65 questions i have to do

Answers

Do you have any social media, I can help with all of them!

*Chuckles* my GPA is in danger

Answers

hi! i believe the answer is a, because if b (in this case 0.2) is less than 1 and greater than 0 its exponential decay!! good luck with the rest of your hw and i hope this helps

Answer:

A

Step-by-step explanation:

Exponential growth is when numbers increase rapidly in an exponential fashion so for every x-value on a graph there is a larger y-value. Decay is when numbers decrease rapidly in an exponential fashion so for every x-value on a graph there is a smaller y-value. So here the one that fits the description is A.

write short note on the rule on how to bisect a perpendicular angle​

Answers

Answer:

Given a line segment AB

open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet C and D. Draw the line between C and D.

CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

Step-by-step explanation:

for more help please follow

Answer:

Follow the steps below to construct a perpendicular bisector of a line segment.

Step 1: Draw a line segment XY of any suitable length.

Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.

Step 3: Repeat the same step with Y as the center.

Step 4: Label the points of intersection as 'P' and 'Q'.

Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.

Step-by-step explanation:

A line that includes the points (-9, 6) and (-3, s) has a slope of -1. What is the value of s?

Answers

Answer:

s=0

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1) / x2-x1)

   -1 = (s-6)/(-3 - -9)

   -1 = (s-6)/(-3 +9)

   -1 = (s-6)/(6)

Multiply each side by 6

6*-1 = s-6

-6 = s-6

Add 6 to each side

-6+6 = s-6+6

s=0

Answer:

[tex] \large\sf \: s = 0[/tex]

Value of s is 0.

Step-by-step explanation:

Here,

A line that includes 2 two points are ( -9 ,6) and (-3, s) and has a slope of - 1.

Using slope formula

m = ( y ² - y ¹ ) / ( x ² - x ¹)

Where,

m , is the slope which is -1( y ² - y ¹ ) = ( s - 6 )( x ² - x ¹) = ( - 3 - ( - 9 ) )

substitute the values into the formula

-1 = ( s - 6 ) / ( - 3 - ( - 9 ) )

-1 = ( s - 6 ) / ( - 3 + 9 )

- 1 = ( s - 6 ) / ( 6 )

multiply each side by 2

- 1 × 6 = s - 6 × 6 / 6

- 6 = s - 6

- 6 + 6 = s - 6 + 6 ..( add 6 to each side)

0 = s

Según la gráfica cuadrática de la expresión y= x² + 1 ¿Cuales serían las coordenadas cuando x es igual a -2,-1 y 0?

Answers

Answer:

When  x =  -2     P  ( -2 ;  5)

When   x = -1       Q  (  -1 ; 2)

When   x  = 0       R  ( 0 ;  1)

Step-by-step explanation:

y =  x²  +  1

When    x  =  -2

y  =  ( -2)²  + 1        y  =  5     point  P  ( -2 ;  5)

When  x  =  -  1

y  =  (  -1)² + 1         y  =  2     point  Q  ( -1 ; 2 )

When x   =  0

y  =  (0)²  +  1         y  =  1      point   R  (  0 ;  1 )

The values in a dataset are 3.5, 2.5, 2.5, 3.5, and 3.0. If Xbar (sample mean) = sigma X / n, what is the mean for the sample?

Answers

Answer:

[tex]\bar x = 3.0[/tex]

Step-by-step explanation:

Given

[tex]x: 3.5, 2.5, 2.5, 3.5, 3.0[/tex]

Required

The sample mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{3.5+ 2.5+ 2.5+ 3.5+ 3.0}{5}[/tex]

[tex]\bar x = \frac{15.0}{5}[/tex]

[tex]\bar x = 3.0[/tex]

If 4 US dollars can be exchanged for 1.75 Euros. How many Euros can be obtained for 144 US dollars?

Answers

Answer:

63 euros.

Step-by-step explanation:

4 dollars = 1.75 euros

1 dollar = 1.75 / 4 euros, so

144 dollars = (1.75/4) * 144

= 63 euros.

so i know g(x)=3k-2x² and g(-3)=-6
how do i know what g(x) ad k are?

Answers

Answer:

find k by putting -3 where there is x than -6 on g(x)

Step-by-step explanation:

g(x)=3k-2x²

-6=3k-2(-3)²

-6=3k-18

-6+18=3k

12=3k

12÷3=3k÷3

4=k

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP



Answers

Answer:

I can't see it clearly, it's blurry, but the answer should be where the parabola touches the line. From what I can see, I can tell you that one solution is in the 3rd quadrant and the other solution is in the 4th quadrant.

Step-by-step explanation:

Hope this helps

SAT MATH, PLEASE HELP PLEASE THIS IS MY LAST CHANCE

Answers

Answer:

[tex] \gamma = 125.00 \: degrees \\ a = 2.18 \\ b = 3.59[/tex]

Step-by-step explanation:

[tex] \gamma = 180 - 20 - 35 \\ = 125 \: degrees[/tex]

[tex]using \: sine \: rule \\ \frac{a}{sin20} = \frac{b}{sin35} = \frac{5.122}{sin125} \\ a = 2.1386 \\ b = 3.5865[/tex]

Find the percent of increase from 380 to 510. Round to the nearest tenth of a percent, if
necessary.

Answers

Answer:

510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316

rounding to the tenth we get 134.2

Find a sum by suitable rearrangement: 143 ÷ (-567)+ 257 + 167

Answers

If you’re looking for the answer it’s -1

I hope this helped good luck!

HELP PLZZ How many and what type of solutions does 6x^2−3x+5 have?





1 rational solution


2 rational solutions


2 irrational solutions


2 nonreal solutions

Answers

so here, you have to find the discriminant and if it is less than zero. 3^2-120 is less than zero, so the equation has 2 nonreal solutions, i believe!

-6x + 7y = 9
2x - 2y = 4

Answers

7909081131

8709196751

7250401594

9835094365

8340436845

7258061562

please contact this Nr. for the best answer

This is world best teacher

pls help !!! :))
17. If m_1 = 98º and mz2 = 19º,
what is mz3?

Answers

Answer:

angle 3 = 79 degree

Step-by-step explanation:

given:

angle 1 = 98 degree

angle 2 : 19 degree

angle 3 =?

angle 2 + angle 3 =angle 1 (sum of two interior angle opposite angles is equal to the exterior angle formed)

19 + angle 3 = 98

angle 3 = 98 - 19

angle 3 = 79 degree

answer is angle 3 79 degrees

negative 4 minus 8 equals

Answers

Answer:

-12

hope this helps!

add me as a friend if u can<3

-4 - 8 = -12

hope that helps

Question
In order to save for a new car, Charles adds money each month to a savings account which earns interest that is compounded monthly. Charles has created the expression 400((1+0.0212)12⋅3−10.0212) to calculate how much money he will have in his savings account when he is ready to purchase the car.

What do the values 400, 0.02, 12, and 3 represent in the expression?

Answers

Answer:

Step-by-step explanation:

If this sun is 66° above the horizon, find the length of the shadow cast by a building 61 feet tall. Round your answer to the nearest tenth.

Answers

Answer:

27.2 ft

Step-by-step explanation:

We solve using the Trigonometric function of tan

tan θ = Opposite/Adjacent

θ = 66°

Opposite = Height of the building = 61 ft

Adjacent = Length of the shadow = ? = x

tan 66 = 61/x

Cross Multiply

tan 66 × x = 61

x = 61 ft/tan 66

x = 27.158949804 ft

Approximately = 27.2 ft

The length of the shadow = 27.2 ft

he local newspaper has letters to the editor from 30 people. If this number represents 2% of all of the​ newspaper's readers, how many readers does the newspaper​ have?

Answers

answer: 1500 readers
explanation: all readers take up 100%
100/50=2
100% / 50 = 2%
2% x 50 = 100%
30 x 50 = 1500 readers

A soccer ball is kicked from the ground at an upwards velocity of 90 feet per second. The equation h(t)=-16t^(2)+90t gives the height of the ball after t seconds. How many seconds will it take for the ball to reach its maximum height?
I need help figuring this out to help my grade

Answers

Answer: 2.81 s

Step-by-step explanation:

Given

Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]

Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]

Derivative of a function gives the maxima or minima at certain point

[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]

Thus, it takes ball 2.81 s to reach the top.

La sombra de un árbol cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. ¿Cuál es la altura del árbol?

Answers

Answer:

La altura del árbol es 8 metros.

Step-by-step explanation:

La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.

La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).

La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.

[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]

En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:

[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]

Resolviendo:

cateto adyacente= tan(36)*11

cateto adyacente= 7.99 metros ≅ 8 metros

La altura del árbol es 8 metros.

A principal of $2700 is invested at 6.25% interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.
$

Answers

Answer:

$5938

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

P is principle amountr is raten is compounded ratet is time

Step-by-step explanation:

Step 1: Define

Identify variables

P = 2700

r = 6.25% = 0.0625

n = 1

t = 13

Step 2: Find Interest

Substitute in variables [Compounded Interest Rate Formula]:                     [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{1 \cdot 13}[/tex][Exponents] Multiply:                                                                                         [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{13}[/tex](Parenthesis) Divide:                                                                                        [tex]\displaystyle A = 2700(1 + 0.0625)^{13}[/tex](Parenthesis) Add:                                                                                            [tex]\displaystyle A = 2700(1.0625)^{13}[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle A = 2700(2.19926)[/tex]Multiply:                                                                                                             [tex]\displaystyle A = 5938[/tex]

What are factors of -12 that have a sum of +1?​

Answers

factors of -12 that have a sum of +1 are: -3 and 4.

Determine the range for the function y = (x - 3 )^2 + 4.

Answers

Answer:

Solutions are x=2 and x=−2 . At these points the function has vertical asymptotes. To address the range, let's first transform...

Help me ASAP !!!! Pls

Answers

Answer:

The answer is D because when you plug in 0 for the x value, you get positive 2

the product of two consecutive positive odd integers is 2499 find the bigger integer

Answers

Step-by-step explanation:

Consecutive odd integers are integers that take on the form n, n + 2, n +4, n + 6, and so on, where n is odd.

Now, Product of two consecutive positive odd integers = 2499

=>n*(n+2) = 2499

=>n^2+2^n-2499=0

=>n^2+51^n-49^n-2499=0 =>n(n+51)-49(x+51)=0

=>(n+51)(n-49)=0

=>n=49 (n is not equal to -51 which is negative integer).

So,bigger integer =(n+2)=49+2=51.

Un número real no puede pertenecer a los racionales y a los irracionales a la vez?​

Answers

Step-by-step explanation:

eso es cierto y correcto por supuesto, es tan obvio

Jenny walked around the football field which statement explains whether the example describes area or perimeter

Answers

Answer:

perimeter

Step-by-step explanation:  If she walks around its perimeter.  If she covers every inch of ground covered by the field its area.

Perimeter would be like an outline.  And area would be the whole thing shaded.  

A rectangular pen for pigs that will enclose a total area of 169 square feet. What is the least amount of fencing that is needed?

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:

Area = length * width

169 = xy

y = 169/x

Also the perimeter of the rectangular pen is:

Perimeter (P) = 2(length + width)

P = 2(x + y)

P = 2x + 2y

P = 2x + 2(169/x)

P = 2x + 338/x

The least amount of fencing is at dP/dx = 0, hence:

dP/dx = 2 - 338/x² = 0

338/x² = 2

2x² = 338

x² = 169

x = 13 feet

y = 169 / x = 169/13 = 13 feet

The least amount of fencing = P = 2(x + y) =  2(13 + 13) = 52 feet

Other Questions
In a group discussion, a participant says, I hate walking. Why walk when you can just get a ride? Write three to four sentences in which you share your own viewpoint. Be sure to provide evidence and refer to the passage you just read. While at her family reunion, Anaya surveys the people there and makes a list of everyone's ages. She wants to make a data display that shows the youngest age, the mean age, and the oldest age, along with the way the other ages are distributed. What kind of display is her best choice?A. Box-and-whisker plotB. HistogramC. ScatterplotD. Ogive How can Fire and Ice destroy the world? *I need very short Answer for this* Refer To The Equation 2x-6y=12Please Help :) What happens to the electric force between two particles if the distancebetween them is doubled? If the exercise ball has been filled with Nitrogen which has a density of 0.2 grams per cubic inches. Find the mass in grams.Options11,581.2 grams12,370.6 grams13,891.5 grams15,156.3 grams In XYZ, mX = 27 and mY = 48. Which gives the sides of the triangle in order from shortest to longest? How long does it take for water to boil? quienes fundaron las 13 colonias? what is the angle of elevation of the sun when a 47 -ft mast casts 33ft shadow? SHOW WORK PLEASEMarion and her friends are driving to see a concert at the stadium, a trip of 145 miles. They drive for 2 hours at a steady rate of 40 miles per hour and then stop for gasoline. How much further do they have to travel to arrive at the stadium? Question: Simplify (3 1/7)^7 The promise of a bill of rights was key to winning the support of which of the following groups? At the beginning of the year, Crane Company estimates annual overhead costs to be $2400000 and that 400000 machine hours will be operated. Using machine hours as a base, the amount of overhead applied during the year if actual machine hours for the year was 375000 hours is What is it yalll !?????? it refers to the number of times an observation occurs or appears in a data set Which of the following is the most credible source?A. The results of an internal investigation by a major corporation,posted on the company's websiteB. An opinion article on the Democratic Party's website written thisyear that criticizes the policies of RepublicansC. An opinionated book by climatologists lan Wright and Ryo Saitopublished last year about climate changeD. Original charts and graphs displayed on the blog of PeterWilkerson, a popular activist and Internet personality Which hormone only has an effect in females?oxytocinprolactingrowth hormone A a social worker, will you maintain the confidentiality or not if your client share that he/she has planted bomb in different area (hypothetical question) what happens when a candle burns? a) oxygen is used upb) nitrogen is used upc) hydrogen is producedd) carbon dioxide is consumed