Find the value of the sum 219+226+233+⋯+2018.

Assume that the terms of the sum form an arithmetic series.

Give the exact value as your answer, do not round.

Answers

Answer 1

Answer:

228573

Step-by-step explanation:

a = 219 (first term)

an = 2018 (last term)

Sn->Sum of n terms

Sn=n/2(a + an)         [Where n is no. of terms] -> eq 1

To find number of terms,

an = a + (n-1)d     [d->Common Difference] -> eq 2

d= 226-219 = 7

=> d=7

Substituting in eq 2,

2018 = 219 + (n-1)(7)

1799 = (n-1)(7)

1799 = 7n-7

1799 = 7(n-1)

1799/7 = n-1

257 = n-1

n=258

Substituting values in eq 1,

Sn = 258/2(219+2018)

    = 129(2237)

    = 228573


Related Questions

Given the table below, determine which type of equation best models the data and use a calculator to find an equation of best fit.

Answers

Answer:

Hello,

Step-by-step explanation:

Best fit: quadratic y=5.3x²-9.3+6.1

with an total error  of 0.4

Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1

Answers

Answer:

2x²+3x-6

Step-by-step explanation:

f(x)+g(x)

= x²+6x-5+x²-3x-1

=2x²+3x-6

Find the missing side lengths

Answers

Answer:

u is 172 and v is 17

Step-by-step explanation:

To find u:

[tex]{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}[/tex]

feed in the terms:

[tex] \sin(45 \degree) = \frac{17}{u} \\ \\ u = \frac{17}{ \sin(45 \degree) } \\ \\ u = 17 \sqrt{2} [/tex]

To find v:

[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]

feed in the terms:

[tex] \cos(45) = \frac{v}{u} \\ \\ v = u. \cos(45) \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17[/tex]

please help, I'm so confused how to-do this

Answers

Answer:

Step-by-step explanation:

use the quadratic formula : [tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], where ax^2+bx+c=0

[tex]y = \frac{ -(-20) \pm \sqrt{(-20)^2 - 4(1)(50)}}{2(1)}[/tex]

[tex]y = \frac{ 20 \pm \sqrt{400 - 200}}{2}[/tex]

[tex]y = \frac{ 20 \pm \sqrt{200}}{2}[/tex]

y = 17.07106~ or 2.928932~

The average age of a preschool class is 4.5 years old. If there is one 3-year-old, five 5-year-olds, and two other children both of the same age, what is the age, in years, of the other two children?

Answers

Answer:

3.1

Step-by-step explanation:

5 x5 =25

25+3=28

the other children are 4 years old

HELPPP PLEASE!!!

Salvador reads 12 books from the library each month for n months in a row. Write an expression to show how many books Salvador read in all. Then, find the number of books Salvador read if he read for 7 months.

Answers

Answers:

The expression is 12n

He reads 84 books in 7 months

==================================================

Explanation:

For 1 month, he has read 12*1 = 12 books

For 2 months, he has read 12*2 = 24 books

For 3 months, he has read 12*3 = 36 books

and so on

If we let n represent the number of months, then 12*n or 12n represents the number of books read after n months. The variable n is some placeholder for a positive whole number.

If we replaced n with say n = 7, then 12*n = 12*7 = 84 books are read in 7 months.

Salvador reads 12 books each months so for n months he reads 12n books. In 7 months, n=7, so he reads 12*7 which is 84 books


Need help ASAP plz

Answers

Answer:

C) postulate

An axiom or a postulate is an accepted statement of fact.

OAmalOHopeO

Answer:

Im pretty sure its definition

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

D and C

Step-by-step explanation:

1) You can cross check using desmos.

2) cos(120) is - 0.5

write an inequality and show on a number line all numbers greater (-3) but less than equal to3

Answers

Answer:

-3<x<_3

You plot this on a number line by writing and open circle on -3 and drawing and arrow from that open circle all the way until 3 and them draw a closed circle on 3.

Step-by-step explanation:

Use Pythagoras to find the height and hence, the area of the triangle
below. Give height to 1 decimal place and area to the nearest whole. Write
answer in format: h= A= *
20 mm
Val

Answers

Answer:

h=17.3 A=173

Step-by-step explanation:

Calculator

Answer:

height = 17.3 mm

area = 173 mm²

Step-by-step explanation:

all three sides are of the same length (20 mm).

so, the height actually splits the baseline in half

(2 × 10 mm) while hitting it at a 90 degree angle.

so, we use Pythagoras, where the full side opposite of this 90 degree angle is c (Hypotenuse), the height of the main triangle is one side, and half of the baseline is the other side.

c² = a² + b²

20² = 10² + height²

400 = 100 + height²

300 = height²

height = 17.3 mm

the area of the main triangle is baseline (20) times height divided by 2.

so,

At = 20×17.3/2 = 10×17.3 = 173 mm²

Given two consecutive integers whose sum is 45, find the smaller of the two integers.

Answers

Answer:

22 and 23

Step-by-step explanation:

let two consecutive number be

x and x+1

now,according to the question

x+x+1=45

or,2x=45-1

or,2x=44

or,x=44/2

:-x=22

Hence, the two consecutive numbers are

22 and 23

In the figure, ABC and DEF are similar. What's the scale factor from ABC to DEF?
(pls show how you got the answer)

Answers

Answer:

3

Step-by-step explanation:

The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:

AB * x = DE

where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:

5x = 15

x = 3

Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.

HELPPPPPP please guyss

Answers

Answer:

y - 3 = 2(x - 2)

Step-by-step explanation:

Step 1. Solve for slope

m = slope

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

Points: (-2, 3) & (1, 9)

m = (9 - 3)/(1 - - 2)

m = 6/3

m = 2

Step 2. Use the two points and the slope to write the line in point-slope form.

Point-Slope Form: y - y1 = m(x - x1)

Slope-Intercept Form: y = 2x + 7

With the points: (-2, 3) & (1, 9)

Where x1 = -2 y1 = 3, x2 = 1 y2 = 9

Point-Slope Form = y - 3 = 2(x - 2)

*Oops, there’s something wrong with your system that there isn’t no correct option* thus the closest option would be D.

if three less than one half a number is equal to one-third of the same number, find the number​

Answers

Answer: The number would be 18

Step-by-step explanation:

18/2=9 9-3=6 6*3=18

The equation be (x/2) - 3 = x/3 then, the number of x = 18.

How to estimate the value of x?

To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

Let x be the number

From the given information, we get

(x/2) - 3 = x/3

The set all the fractions on one side and constants on another side

(x/2) - (x/3) = 3

Multiply by LCM

3x - 18 = 2x

Add 18 to both sides

3x - 18 + 18 = 2x + 18

simplify

3x = 2x + 18

Subtract 2x from both sides

3x - 2x = 2x + 18 - 2x

x =18.

Therefore, the number is x = 18.

To learn more about algebraic expression refer to:

https://brainly.com/question/4541471

#SPJ2

How would you write 845 as a multiplication expressions
A.
8x5
B.
8x8x8x8x8
O c. 5x5x5x5x5x5x5x5

Answers

Answer:

13x13x5

Step-by-step explanation:

We can write 845 as

845 = 13 x 13 x 5

because

845 = (13x13) x5 = 169 x5 = 845

so the expression is

13 x 13 x 5

Which polygon has an interior angle sum of 1080°?

Answers

Answer:

its octagon. first and last one it has total 8 sides

The polygon with an interior angle sum of 1080° is an octagon

if l=5 and b=3 find the value of 2 (l+b)​

Answers

Answer:

16

Step-by-step explanation:

2 (l+b)​

Let l=5 and b=3

2 (5+3)​

Parentheses first

2(8)

Multiply

16

Answer:

16

Step-by-step explanation:

Plug in:

2 (l + b)

2 (5 + 3)

2 (8)

 16

Hope this helped.

factorize: xy-3x - 5y + 15

Answers

Answer:

Step-by-step explanation:

xy-3x-5y+15

x(y-3)-5(y-3)

(y-3)(x-5)

The expression 2r^2+18x +40 has a greatest common factor of 2.
Once the GCF is factored out, what are the two binomial factors
left that complete the equation.
what are the 2 missing binomial factors?

Answers

2(x^2+9x+20)

2(x^2+5x+4x+20)

2{x(x+5)+4(x+5)}

2(x+5)(x+4)

Given the function h(x) = x^2 + 10x + 32, determine the average rate of change
of the function over the interval 3 < x < 11.

Answers

Answer:  24

================================================

Explanation:

Plug in x = 3 to get

h(x) = x^2 + 10x + 32

h(3) = 3^2 + 10*3 + 32

h(3) = 71

Repeat for x = 11

h(x) = x^2 + 10x + 32

h(11) = 11^2 + 10*11 + 32

h(11) = 263

Now use the average rate of change formula

m = average rate of change

m = ( h(b) - h(a) )/(b - a)

m = ( h(11) - h(3) )/(11 - 3)

m = (263 - 71)/(11 - 3)

m = 192/8

m = 24

10000-10000+100000-100000

Answers

Answer:

0

Step-by-step explanation:

Need help ASAP please

Answers

Answer:

10  

Step-by-step explanation:

1. AB

2 BC

3. CD

4. DE  

5. AC  

6. B D

7.CE

8.AD

9.BE

10. A E


Describe fully the single transformation that maps shape A onto shape B.

Answers

B is an upside down image of A and is 2 units below A.

The image of A is mirrored across the y axis at y = 2.

Answer: A was mirrored across y= 2 to form B.


The diameter of a cylinder is 4 m. If the height is triple the radius, which is the closest to the
?volume of the cylinder
75.40 m3 o
251.33 m3 o
100.53 m3 o
613.19 m3 o
WILL MARK BRAINLIEST OR WHATEVER NEEDED ASAP

Answers

Answer:

A. 75.40 m³

Step-by-step explanation:

Diameter of cylinder (d) = 4 m

Radius (r) = ½(d) = ½(4) = 2 m

Height (h) = 3 × r = 3 × 2 = 6 m

Volume of cylinder = πr²h

Substitute the values

Volume of cylinder = π*2²*6

Volume of cylinder = π*4*6

Volume = π*24

Volume = 75.40 m³

3 angles
triangle
in
ratio 1:3:3
3:.
Find the angles

Answers

Answer:

1st angle = 30

2nd angle = 60

3rd angle = 90

Step-by-step explanation:

let ,1st angle be x , 2nd angle be 2x and 3rd angle be 3xx+2x +3x =1806X =180x =180/6x =30

The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

18h +4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)  where l is the length and w is the width

  =2( 7h+8 + 2h-6)

Combine like terms

  = 2( 9h+2)

Distribute

   = 18h +4

Given that v=√u*u- 2qs. Make q the subject of the equation. Find the value of q in the equation if v=8, u=12, and s=40​

Answers

Answer:

Step-by-step explanation:

v=√u*u- 2qs

[tex]\sqrt{20}[/tex] x 20 - 2q40 = 8[tex]2\sqrt{5}[/tex] x 20 - 2q40 = 840[tex]\sqrt{5}[/tex] - 2q40 = 8- 2q40 = 8 - 40[tex]\sqrt{5}[/tex]-80q = 8 - 40[tex]\sqrt{5}[/tex] q = (8-40[tex]\sqrt{5}[/tex] ) / -80 = [tex]\frac{-1 + 5\sqrt{5} }{10}[/tex] = 1.018

Above given answer is correct.

please help with number 9!!!

Answers

Answer:

2 + sqrt(3)

Step-by-step explanation:

Roots that contain square roots come in pairs

If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)

2 -sqrt(3) means there is a root 2 + sqrt(3)

[tex]\frac{1}{5} x + \frac{4}{5} = \frac{8}{5}[/tex]

Answers

Answer:

x = 4

Step-by-step explanation:

1/5x + 4/5 = 8/5

Multiply each side by 5 to get rid of the fractions

5(1/5x + 4/5) = 8/5 *5

x+4 = 8

Subtract 4 from each side

x+4-4 = 8-4

x = 4

What is the image point of (5, 1) after a translation right 5 units and down 2 units?
Submit Answer
PLS HELP ASAP

Answers

Answer:

(10,-1)

Step-by-step explanation:

A translation to the right is (x+5)

A translation down 2 is (y-2)

(5+5, 1-2)

(10,-1)

Answer:

(10, - 1 )

Step-by-step explanation:

A translation right 5 units means add 5 to the x- coordinate

A translation down 2 units means subtract 2 from the y- coordinate

(5, 1 ) → (5 + 5, 1 - 2 ) → (10, - 1 )

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