1+(-2)+3+(-4)+...+2011+(-2012)+2013

Answers

Answer 1

Answer:

1007

Step-by-step explanation:

Divide the expression by two parts: the first one with all positive integer (the integer which can't be divided by two), 1+3+5+...2013 and the rest -2-4-6-...-2012

If you notice both parts are arithmetical sequences

Explore the first one 1+3+5...+2013

a1=1 d=3-1=2 an=2013

a1+d(n-1)=an

1+2(n-1)=2013

2(n-1)=2012

n-1=1006

n=1007

Sn=( 1/2)*(a1+an)*n= 0.5*2014*1007=1007*1007=1014049

-2+(-4)-...-2012

a1=-2

d=a2-a1= -4-(-2)=-2

a1+d(n-1)=an

-2+(-2)(n-1)=-2012

n=1006

Sn= (a1+an)/2*n=(-2-2012)/2*1006=-1007*1006

-1007*1006+1007*1007= 1007- the answer

The second mean

1-2=-1

3-4=-1

5-6=-1

There are 2012/2=1006 couples and every of them has sum -1

-1*1006=-1006

-1006+2013=1007


Related Questions

I need help with number line math please review my work and explain to me whats correct and wrong thanks!

Answers

Answers:

3) -12, 0, 13, |-14|, |-16|, 17 (D)

4) 1

5) 5

Explanation:

|x| is the absolute value, and absolute values are always positive

|-5| = 5

|-16| = 16

|-16| = |16|

Hope this helps

A circular blade turns through 589 revolutions. What is it angular displacement?

Answers

Step-by-step explanation:

One revolution is equivalent to an anuglar displacement of

[tex]2\pi\text{ rad}[/tex]

Therefore the total angular displacement is

[tex]589(2\pi)=1178\pi\text{ rad}[/tex]

How many hours? Thank you for your time.

Answers

Answer:

3/4 hours I believe so??

Error Analysis jeremy incorrectly says that 2 1/8 is the same as 2.18 Convert 2 1/8 to a decimal correctly. Then explain ​'s likely error.

Answers

Answer:

1 divided by 8 = 0.125 let's replace the 0 with a 2 since 2 is the whole number = 2.125 is correct

Step-by-step explanation:

Jeremy has mistaken 2 1/8 as 2.18 probably because he thought 1/8 was 0.18

The correct decimal value is 2.13.

We have Jeremy who incorrectly said that [tex]2\frac{1}{8}[/tex] is the same as 2.18.

We have Convert [tex]2\frac{1}{8}[/tex] to a decimal correctly.

How will you convert the mixed fraction -  [tex]5\frac{2}{3}[/tex] to normal fraction?

The method to convert the mixed fraction to normal fraction is -

[tex]5\frac{2}{3}\\[/tex] = [tex]\frac{3\times 5 +2}{3} = \frac{17}{3}[/tex]

According to question, we have -

Mixed fraction = [tex]2\frac{1}{8}=\frac{17}{8}[/tex] = 2.125 = 2.13

Hence, the correct decimal value is 2.13.

To solve more questions on Error analysis, visit the link below -

https://brainly.com/question/11152559

#SPJ2

Given the directed line segment AB: Point A is the _____ with coordinates Point B is the point with coordinates ______.​

Answers

In the given line segment, the coordinates of Point A and Point B is (1, 3) and (4, 6).

What is a line segment?A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The Euclidean distance between two ends of a line segment determines its length. A square, for instance, is a two-dimensional geometry with four equal-length sides. In a square, all four interior angles are right angles, and the opposing sides are parallel to one another.

So, according to the given image:

Coordinates of point A: (1, 3)Coordinates of point B: (4, 6)

Then, Point B is the point with coordinates (4, 6), while Point A is the line (1, 3).

Therefore, in the given line segment, the coordinates of Point A and Point B is (1, 3) and (4, 6).

Know more about line segment here:

https://brainly.com/question/2437195

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The correct question is given below:
Given the directed line segment AB: Point A is the line with coordinates ______ and Point B is the point with coordinates ______.​

What’s the answer please, and that’s a division sign in the middle of the parentheses. It’s supposed to be a synthetic division problem.

Answers

9514 1404 393

Answer:

  -6x^3 +5x^2 -x -2

Step-by-step explanation:

The synthetic division is shown in the attachment.

The elevation of Lake Baikal is about 1,494 feet below sea level. Which integer represents this elevation?

Answers

Answer:

-1,494

Step-by-step explanation:

If sea level is 0, the on a scale below sea level would be a negative integer.

What is 11/7 simplified

Answers

Answer:

1.571429

Step-by-step explanation:

1.571429

this is the ans ig

luke has $1.40 in quarters and nickels. he has 2 more quarters than nickels. how many coins of each type does he have?

Answers

Answer:

3 nickels and 5 quarters

Step-by-step explanation:

Let n = number of nickels

q = number of quarters

q = n+2

.25q + .05n = 1.40

Using the first equation and replacing q in the second equation

.25( n+2) + .05n = 1.40

Distribute

.25n+.50 +.05n = 1.40

Combine like terms

.30n +.5 = 1.40

Subtract .5 from each side

.3n +.5-.5 = 1.40-.4

.3n = .9

Divide by .3

.3n/.3 = .9/.3

n = 3

q = n+2

q=5

Step-by-step explanation:

Let the

Nickel coin = x

Quarter coin = y

y = n + 2

0.25y + 0.05x = 1.4

0.25(x + 2) + 0.05x = 1.4

0.25x + 0.5 + 0.05x = 1.4

0.25x + 0.05x = 1.4 - 0.5

0.30x = 0.9

x = 0.9/0.3

x = 3

y = 3 + 2 = 5

Solve the exponential equation: 4 1/2x=256
A) x = 4
B) x = 2
C) x= 8
OD) x= 1/2

Answers

Hi there!

We are given:

[tex]4^{\frac{1}{2}x} = 256[/tex]

We can rearrange this into a logarithm:

[tex]log_4256 = \frac{1}{2}x[/tex]

Evaluate the left side:

4 = 1/2x

Multiply both sides by 2:

x = 8

Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) g(y) = 3 − 2y

(a) g(0) =

(b) g(3over2)=

(c) g(s + 1) =

Answers

Answer:

UNDEFINED

Step-by-step explanation:

Can't further simplify the function

Sorry for asking more questions

Answers

[tex]\text{CJ}=3\text{x}+6\\\\\text{CT}=37\\\\\text{JT}=3\text{x}+7\\\\\text{CJ}+\text{JT}=\text{CT}\\\\3\text{x}+6+3\text{x}+7=37\\\\6\text{x}+13=37 \ \ /-13\\\\6\text{x}=24 \ \ /:6\\\\\text{x}=4\\\\\text{JT}=3\cdot4+7=12+7=\boxed{19}[/tex]

Jeremy ran 1500 meters in 4 minutes, 45 seconds. How fast did he run in meters per second?

Answers

Answer:

5.26 meters per second

PLEASEPLEASEPLEASE!! Find the length of line AB.

Answers

Answer:

8

Step-by-step explanation:

AB = 5 + | -3 |

Ab = 8

hope that helps

No links I need the full answer of the area to this trapezoid

Answers

I got 96, but I also got 28, I think it’s 96, the formula is A=(b,b2)h so A=1/2(8,6)4

10. The perimeter of square A is 3 times the perimeter of square B. What is the rat of the area of square A to the area of square B.​

Answers

Answer:

9 times

Step-by-step explanation:

Area of A is  3² or 9 times the area of square B

Solve for the value of r

Answers

Answer:

r = 15

Step-by-step explanation:

These angles are supplementary which means they add up to 180:

6r - 4 + 94 = 180

6r + 90 = 180

6r = 180 - 90

6r = 90

r = 15

If clocks read 300pm on the -5 time zone, what time do the clocks read in the -2 time zone

Answers

It will read 6:00pm on -2 time zone.

Let A = {a, b, c, d}, B = {a, c, d, e}. Let f : A → R and g : B → R such that f = {(a, 1),(b, 2),(c, 2),(d, 4)} and g = {(a, 0),(c, 4),(d, 8),(e, 0)}. State the domain and find: f − g​

Answers

Answer:

b, but don't have translate into a great day. I name and phrase, angle of measurementhhvgz just don't have money in a sentence, and the king not sure how it was a great app that is

the height of tower A is 842 feet more than tower B. the two towers have a combined height of 1,920 feet. what are the heights of each tower

Answers

884 + rit= 138 tres plas 0

Haihai, can you help me please (•◡•) /

Answers

Answer:

its A!!! :) good luck with the rest of your assignment!

Need help rn 30 points

Answers

Answer: X = ([tex]-\frac{5}{4}\\[/tex], 6)

Step-by-step explanation:

x(4x - 19) = 30

4x^2 - 19x = 30

4x^2 - 19x - 30 = 0

ax^2 + bx + c = 0

[tex]X{1}=[/tex]  [tex]\frac{-b+\sqrt{b^{2} -4ac}}{2a}\\[/tex]= [tex]\frac{19+\sqrt{(-19)^{2} -4(4)(-30)}}{2(4)}\\[/tex] = 6

[tex]X{2}=[/tex] [tex]\frac{-b-\sqrt{b^{2} -4ac}}{2a}\\[/tex]=[tex]\frac{19-\sqrt{(-19)^{2} -4(4)(-30)}}{2(4)}\\[/tex]= [tex]-\frac{5}{4}[/tex] = -1.25

X = ([tex]-\frac{5}{4}\\[/tex], 6)

Find the slope and y-intercept of the following line.
- 10x - 8y = 8
Find the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Simplify your answer. Type an integer or a fraction)
O B. The slope of the line is undefined
(Answer quickly)

Answers

Answer:

Slope: - 5/4

y-intercept: - 1

Step-by-step explanation:

- 10x - 8y = 8

- 8y = 10x + 8

y = - 10x/8 -8/8

y = - 5/4x - 1

PLS HELP i will mark brainliest

Give an example of the product of a rational number and an irrational number and explain whether the answer would result in a rational or irrational number. MATH

Answers

Answer:

Step-by-step explanation:

there doesn't exist an example of Rational and Irrational Numbers whose product is Rational, except when an Irrational Number is multiplied by 0, which results in 0, a Rational Number.

WILL GIVE BRAINLEST
DO ALL QUESTIONS PLS..

Answers

Answer:

sorry......................F

Answer: Which question?

Step-by-step explanation:

Blank as 9 hundreds is 9 thousands

Answers

What? Do you have a picture that reveals what you need help in?

Using the quadratic formula, which of the following are the zeros of the
quadratic equation below?
y = x2 - X-5
A. x = 11/19
O B. x149
O C. x-lt
2
o D. x=-11/21
O

Answers

Answer:

y=x2-X-5 is zero of quadratic equation

harold licorice company made 6,429.4 feet of licorice in 9 days. to the nearest hundredth of a foot how many feet of licorice on average did the company make per day​

Answers

Answer: 714.4

Step-by-step explanation: It says the company had made 6,429.4 feet of licorice in 9 days and you want to find the average amount made in 1 day. So what you would do is divide 6,429.4 by 9 and get 714.3777777 so on. Next its says by the nearest hundredths place meaning the 2nd placement after the dot, so what you would do is round it and you get 714.4.

What is the least common multiple of 9 and 12? Enter your answer in the box.

Answers

Answer:

36

Step-by-step explanation:

Evaluate the root without using a calculator, or note that the root isn't a real number.

Answers

9514 1404 393

Answer:

  A. 2

Step-by-step explanation:

When you don't know if a number like 256 is a power of anything, it can work reasonably well to start by simply dividing by the factors you know.

256/2 = 128128/2 = 6464/2 = 3232/2 = 1616 = 2^4, so 256 = 2^4 · 2 · 2 · 2 · 2 = 2^8

The 8th root of 2^8 is 2, choice A.

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