What is the sum of this sequence

1 + 2 + 3 + 4 + ... + 1002

Answers

Answer 1

Answer:

502,503

Step-by-step explanation:

Using Summation formula for 1 and 1 to N number

[tex]S=\frac{n(n+1)}{2} \\S=\frac{1002(1003)}{2} \\S=502,503[/tex]


Related Questions

f(x) = 3x2 +6x - 18 Find f(10)​

Answers

Answer:

eh im good

Step-by-step explanation:

Answer:

Step-by-step explanation:

we will replace x with 10

f(10)=3(10)^2+6(10)-18

f(10)=300+60-18=342

Bob sold 34 trading cards, each for 50 cents more than the price he bought them. If each card was originally $0.25, how much did he earn?​

Answers

Answer:

E/A card was sold for $.75, which means the 34 cards were sold for a total of $25.50

PLZ HELP ME WITH MY HW????

Answers

Answer:

alam ko sagot pero mataas

3 23/24 (95/24)

I think you just add the miles together

Hope it helps

85,179 to the nearest 1,000

Answers

85000 is the answer

Jeremy is building a ramp to the entrance of a school. If the ramp needs to vertically rise 6 ft

Answers

Answer:

The height is 6 feet, and the length of the ramp is the hypotenuse of a right triangle with angle 28 degrees with the ground

Step-by-step explanation:sin

28=6/x

x*sin 28=6

x=6/sin 28=12.78 ft.

can someone please help me figure this out

Answers

Answer:

32/40

Step-by-step explanation:

1: Sin= Soh

Soh= Opposite over Hypotenuse

2. A's opposite is 32

3. A's Hypotenuse is 40

4. A = 32/40

Bob 's daily commute time is randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes, and the most common length is 30 minutes. What is the probability that his commute today took more than 35 minutes?

Answers

Answer:

0.6341 = 63.41% probability that his commute today took more than 35 minutes

Step-by-step explanation:

Randomly distributed = Uniform distribution.

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes.

This means that [tex]a = 20, b = 61[/tex].

What is the probability that his commute today took more than 35 minutes?

[tex]P(X > 35) = \frac{61 - 35}{61 - 20} = 0.6341[/tex]

0.6341 = 63.41% probability that his commute today took more than 35 minutes

Explain what it means to be a solution when there are two lines on a graph

Answers

Answer:

Step-by-step explanation:

When the lines intersect, the point of intersection is the only point that the two graphs have in common. So the coordinates of that point are the solution for the two variables used in the equations.

teresa says the two expressions below are equivalent: 2(5x-3) + 6x and 16x -3 is teresa correct? Explain why or why not

Answers

Answer:

No.

Step-by-step explanation:

2(5x-3) + 6x  is equal to 16x-6:

Distribute:

=(2)(5x)+(2)(−3)+6x

=10x+−6+6x

Combine Like Terms:

=10x+−6+6x

=(10x+6x)+(−6)

=16x+−6,

Which is not equal to 16x-3

find the value of x. inscribed angles

Answers

9514 1404 393

Answer:

  x = 33°

Step-by-step explanation:

The value of an inscribed angle is half the value of the arc it subtends.

The angle marked x subtends the arc marked 66°, so has a value of ...

  x = 66°/2

  x = 33°

_____

The value of y is similarly found.

  y = 96°/2

  y = 48°

__

The angle marked with a dot is an external angle of the triangle, so is the sum of the remote internal angles, x and y:

  dot angle = x + y = 33° +48° = 81°

Of course, angle z is the supplement of this:

  z = 180° -81°

  z = 99°

Answer:

x=33

Step-by-step explanation:

The answer would be x=33

Find the measure of one interior angle in each regular polygon. Plz

Answers

Answer:

108°

Step-by-step explanation:

If regular polygon has n sides, then each interior angle = 180° - (360/n)°.

When n = 5, interior angle = 180° - (360/5)° = 108°

in the first week of July, a record 1,040 people went to the local swimming pool. In the
second week, 100 fewer people went to the pool than in the first week. In the third week, 130 more
people went to the pool than in the second week. In the fourth week, 290 fewer people went to the
pool than in the third week. What is the percent decrease in the number of people who went to the
pool over these four weeks?

Answers

Answer: 25%

Step-by-step explanation:

First week of July = 1040 people

Fourth week of July = 1040- 100 + 130 - 290 = 780

The number of people that went to the swimming pool in 1st week was 1040 while the 4th week had 780. The percentage decrease will be:

= (1040 - 780) / 1040 × 100

= (260 / 1040) × 100

= 0.25 × 100

= 25%

Combine like terms to simplify the expression below 5y - 8x - y + 12x

Answers

Answer:

4x + 4y

Step-by-step explanation:

5y - 8x - y + 12x

4y + 4x

Answer:

4y + 4x

Step-by-step explanation:

There are 4 terms in the equation 5y - 8x - y + 12x: 5y, -8x, -y, and 12x. WE have to add like terms to make a simplified equation. 5y and -y are alike, as are -8x and 12x. Subtract 1y from 5y to get 4y. Add 12x to -8x to get +4x. As a result, the expression becomes 4y + 4x.

nina ran 2.5 miles in 20 minutes at the same pace how long would it take her to run 6 miles

Answers

Answer:

48 minutes

Step-by-step explanation:

first divide 6 miles by 2.5 miles, that will be 2.4 miles, then multiply by 20

Answer:

for 6 miles,it would take 48 minutes

Step-by-step explanation:

2.5 : 20

so

5 : 40

8 min for 1 mile

so

6 : 48

A peristaltic pump delivers a unit flow (Q1) of a highly viscous fluid. The network is depicted in Fig. P9.14. Every pipe section has the same length and diameter. The mass and mechanical energy balance can be simplified to obtain the flows in every pipe. Solve the following system of equations to obtain the flow in every stream.
Q3 + 2Q4 - 2Q2 = 0
Q5 + 2Q6 - 2Q4 = 0
3Q7 - 2Q6 = 0
Q1 = Q2 + Q3
Q3 = Q4 + Q5
Q5 = Q6 + Q7

Answers

Answer:

hello your question has some missing parts attached below is the missing part

answer : Q = A/BQ = 0.5059 0.4941 0.2588 0.2353 0.1412 0.0941

Step-by-step explanation:

Attached below is the detailed solution

resolved using MATLAB to determine the flow in every stream

Anybody know this? I need some help

Answers

Answer:

17

Step-by-step explanation:

First, you can change the equation to 12 1/2 + 4 1/2, as subtracting a negative number is actually adding it. Then, if easier, the mixed numbers can be changed to improper fractions -- 12 1/2 = 25/2 and 4 1/2 = 9/2. Then add; 25/2 + 9/2 = 34/2, and 34 divided by 2 is 17.

ENCHI

A TV is measured by its diagonal. If the height of a 60 inch

TV is 32 inches, what is the width?

Answers

Given :

A T.V. is measure by its diagonal.

To Find :

If the height of a 60 inch  T.V. is 32 inches, what is the width.

Solution :

We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .

Let, width of T.V. is x.

Applying Pythagoras theorem in sides, we get :

[tex]height^2 + width^2 = hypotenuse^2\\\\23^2 + x^2 = 60^2\\\\x = \sqrt{3600 -529 }\\\\x = 55.42 \ inches[/tex]

Therefore, width of T.V. is 55.42 inches.

Follow the steps and write the equation represented by this graph.



Step 1: Write the general equation.

Step 2: Identify b, the Y intercept (x = 0) b=

Step 3: The second point from graph (x, y) P=
,

Step 4: Define m as ratio of rise / run m = rise /

Step 5: Put coordinates into ratio and get (7 -
) / (
- 0)

Step 6: Perform subtraction; get slope
/ 1

Step 7: Substitute values into y = mx + b

Step 8: Write answer y =
x +

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

Step 1: Write the general equation

y = mx + b

Step 2: Identify b, the Y intercept (x = 0)

b is the value of y when x = 0.

From the graph, when x = 0, y = 3.

Therefore, b = 3

Step 3: The second point from graph (x, y):

P = (1, 7)

Step 4: Define m as ratio of rise / run:

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Step 5: Put coordinates into ratio:

Using the two coordinates, (0, 3) and (1, 7), we would have,

[tex] m = \frac{7 - 3}{1 - 0} [/tex]

Step 6: Perform subtraction to get slope:

[tex] m = \frac{4}{1} [/tex]

m = 4

Step 7: Substitute values into y = mx + b:

Thus, plug in the values of m and b into the slope-intercept equation.

b = 3, m = 4, therefore:

y = (4)x + (3)

Step 8: Write answer:

y = 4x + 3

Mia is 2 1/2 years older than Chloe. Allen is 6 1.2 years younger than Chloe. Mia is 12 years old. What is Allen’s age?

Answers

Answer:

Allen is 3 years old

Step-by-step explanation:

Mia is 2 1/2 years older than Chloe.

Mia is 12 years old.

Chloe's age is:

12 - 2 1/2 = 10 - 1/2 =9 1/2

Allen is 6 1/2 years younger than Chloe.

Allen’s age is:

9 1/2 - 6 1/2 = 9 - 6 = 3

PLEASE HELP NEED DONE FAST!!!

Michelle has a math assignment with 60 problems. She solved 1/5 of the problem that School. Then Michelle solved 1/4 of the remaining problems at home. How many problems she have left to solve.

Answers

Answer:1/2

Step-by-step explanation:

. Brian can pick forty-five pounds of strawberries in six hours. If he works two ten-hour days, how many pounds of strawberries will he be able to pick?

Answers

Answer:

over 120 i think

Step-by-step explanation:

1. this is the first way to do it: because if he can pick 40 pounds in 6 hours and he worked for about 20 hours that if you divide 20 by 6 you will get three because 6x3=18 hours and 40x3= 120  

2. the second way is when you subtrat 6-10 and get 4 leftover and if you do that twice you get 8 leftover in all and if you do 8-6 it is 2 leftover so in all you have you have three six hours out of 20 and so you would have to multiply 40   times 3 because every six is 40 pounds of strawberries.

1.8 (x – 6) = 36

I need this fast. I think it’s 26... (x=26) but it says I’m wrong.. Help please!!!!

Answers

Answer:

26

Step-by-step explanation

You're right about it being 26

Answer:

Umm I think it has to be like this first 1.8 x x is 1.8x and 1.8 x 6 is 10.8 and 36 so now I gonna do 1.8x is 36-10.8 is 25.2 and 1.8x / 25.2 is 14 so x is 14

Alex asked her friend Beau to bring his robots to the fair. Guests can buy tickets to play with the robots. Beau needs to rope off an area to the fair grounds keep his robots in sight. Read his notes.

The area should be rectangular.

It needs to more then 100 feet long and less then 100 feet wide

The area needs to be between 7,500 and 10,000 square feet

Answers

Answer:

length = 100< l > 150

breadth = 50 < b> 100

Step-by-step explanation:

The area of the rectangle is given by the formula

Area= Length * Breadth

A= L*B

Suppose both the length and the breadth are 100 feet then the area would become

A= 100*100= 10,000 square feet.

The length and the breadth of the square are equal in size and we dont need a square we need a rectangle therefore these values cannot be inclusive for lenght and breadth.

It is given that the length is longer than 100 feet and breadth is shorter than 100 feet.Therefore

length can be 110 feet and breadth 90 feet

Again the area = A= l*b = 110 *90= 9,900 square feet.

Similarly putting different value from 50 to 150 feet for breadth and length we can obtain different results .

Area = l*b = 150*50 = 7500 square feet

for all values of the length between 100 to 150 feet and for breadth 50- 100 feet we can have the values of the area between 7500 to 10,000 square feet.

length = 100< l > 150

breadth = 50 < b> 100

y=4x-7 is this function or non function

Answers

Answer:

your equation is:

4x - y = 7

Step-by-step explanation:

Algebra: Graphs, graphing equations and inequalities

Solvers

Lessons

Answers archive

   

Click here to see ALL problems on Graphs

 Question 272643: The problem is: 4x - y =7

I need to determine if it is a linear equation or not. i need to explain the problem and try to share at least 3 orderd pairs of points that would be solutions to this equation.

(Scroll Down for Answer!)

Did you know that Algebra.Com has hundreds of free volunteer tutors who help people with math homework? Anyone can ask a math question, and most questions get answers!

OR get immediate PAID help on:

Type Your Question

Go!!!

Answer by Theo(11118) About Me  (Show Source):

You can put this solution on YOUR website!

a linear equation is an equation in which the highest order of exponent is 1.

your equation is:

4x - y = 7

it's a linear equation.

none of the variables has an exponent larger than 1.

x = x^1

y = y^1

to find your ordered pairs, just take 3 values for x at random and plug them into the equation.

let x = 1,2,3

your equation is:

4x - y = 7

if you solve for y, it makes it easier to find the y value given the x value.

solve for y to get:

y = 4x - 7

when x = 1, y = -3

when x = 2, y = 1

when x = 3, y = 5

placing the equation into this form also allows you to graph it.

placing the equation into this form also gives you the slope-intercept form of the equation.

what you started with was the standard form of the equation for a straight line.

that standard form is ax + by = c

your equation is:

4x - y = 7

a = 4 and b = -1

the slope intercept form of the equation of a straight line is y = mx + b

m is the slope and b is the y intercept.

when you solved for y, you placed the equation into this form.

your slope is 4

your y intercept is -7

graph of your equation looks like this:

Click here to see ALL problems on Graphs

 Question 272643: The problem is: 4x - y =7

I need to determine if it is a linear equation or not. i need to explain the problem and try to share at least 3 orderd pairs of points that would be solutions to this equation.

(Scroll Down for Answer!)

Did you know that Algebra.Com has hundreds of free volunteer tutors who help people with math homework? Anyone can ask a math question, and most questions get answers!

OR get immediate PAID help on:

Type Your Question

Go!!!

Answer by Theo(11118) About Me  (Show Source):

You can put this solution on YOUR website!

a linear equation is an equation in which the highest order of exponent is 1.

your equation is:

4x - y = 7

it's a linear equation.

none of the variables has an exponent larger than 1.

x = x^1

y = y^1

to find your ordered pairs, just take 3 values for x at random and plug them into the equation.

let x = 1,2,3

your equation is:

4x - y = 7

if you solve for y, it makes it easier to find the y value given the x value.

solve for y to get:

y = 4x - 7

when x = 1, y = -3

when x = 2, y = 1

when x = 3, y = 5

placing the equation into this form also allows you to graph it.

placing the equation into this form also gives you the slope-intercept form of the equation.

what you started with was the standard form of the equation for a straight line.

that standard form is ax + by = c

your equation is:

4x - y = 7

a = 4 and b = -1

the slope intercept form of the equation of a straight line is y = mx + b

m is the slope and b is the y intercept.

when you solved for y, you placed the equation into this form.

your slope is 4

your y intercept is -7

graph of your equation looks like this:

graph%28600%2C600%2C-1%2C4%2C-10%2C10%2C4x-7%2C-3%2C1%2C5%29

I placed horizontal lines at y = -3, 1, 5.

If you trace a vertical line down from the intersections of those lines with the line created by your equation, you will see that the value of x at those intersection points is 1,2,3

the points on the line formed by your equation are:

(x1,y1) = (1,-3)

(x2,y2) = (2,1)

(x3,y3) = (3,5)

you can take any other values of x and find the corresponding value of y by just replacing x in the equation with the value of x.

the equation is y = 4x - 7

when x = 5, y = 20-7 = 13, etc. brainlest pls

Emiliana runs a restaurant that receives a shipment of 505050 tangerines every day. According to the supplier, approximately 12\, percent of the population of these tangerines is overripe. Suppose that Emiliana calculates the daily proportion of overripe tangerines in her sample of 505050. We can assume the supplier's claim is true, and that the tangerines each day represent a random sample. What will be the shape of the sampling distribution of the daily proportions of overripe tangerines

Answers

Answer:

skewed to the right

Step-by-step explanation:

Any one talented student????
if long answer plzz
Can anyone solve them all ???
;( ;( ;( ​

Answers

Answer:

Step-by-step explanation:

A=3*10^5*2.5*10^3/2.25*10^2=

300000*2500=750000000

750000000/225=3333333.3333

B=4.8*10^-5*3.2*10^9/1.6*10^16*2.4*10^-3=

0.000048*3200000000=153600   or 1.536*10^5 Answer

16000000000000000*0.0024=3.84*10^13

153600/3.84*10^13=0.000000000.4    0r 4*10^-9 Answer

C=6.7*10^-11*2.25*10^20*3.6*10^20/(3.35*10^4)^2

0.000000000067*250000000000000000000*3600000000000000/(33500)^2=4.967764727*10^20 Answer

D=9.1*10^7+6.5*10^7/1.3*10^3

91000000+65000000/1300=120000   or 1.2*10^5 Answer

E=2.5*10^3+3.9*10^4/1.6*10^2

5000+39000/160=259.375 Answer

F=7.2*10^-4.8*10^5/2.4*10^3

7200000-480000/2400=2800 or 2.8*10^3 Answer

Hope this helpssss xx

I think answer should be what the first person wrote as I agree with this answer

(he was flunking school to get out of school plus he worked at kfc and loved his job, during the 11th grade btw)

 summerize this:

      I didn’t know what I was doing or what I believed in, except the United States of America and the Cleveland Browns. Sometimes, to break my addiction to the tube[1], I spent the night in a derelict shed with mushrooms growing from the rafter boards. Back-yard rehab. I used to read in there, or, anyway, swing my eyes over the pages of library books: “Out of Africa” (the girl I was in love with loved the move); Donal Trump’s autobiography; Kierkegaard; “Leaves of Grass”; a book about how to make a robot from an eight-track player. As long as nobody had assigned the book, I could stick with it. I didn’t know what I was reading. I didn’t really know how to read. Reading messed with my brain in an unaccountable way. It made me happy; or something. I copied out the first paragraph of Annie Dillard’s “An American Childhood” on my bedroom’s dormer wall. The book was a present from an ace teacher, a literary evangelist in classy shoes, who also flunked me, of course, with good reason. Even to myself I was a lost cause. ​

Answers

Answer:

                                                                             

Step-by-step explanation:

2x/3 divided by 3x/2 if x does not equal 0

Answers

say x = 3 the answer would be 2/4.5 which would end up being 4/9

The value of the expression 2x/3 ÷ 3x/2 when x ≠ 0 is 4/9.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x/3 ÷ 3x/2 when x ≠ 0.

This can be written as,

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

= 2/3 x 2/3

= 4/9

Thus,

The value of the expression is 4/9.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

seven less than 50 times a number *

Answers

Answer:

50x - 7

Step-by-step explanation:

a number: x

50 times a number: 50x

7 less than 50 times a number: 50x - 7

50x-7 is the Correct answer

A car is said to get 25 miles per gallon on a highway, but this value can fluctuate by 6 miles per gallon, at most. Which of the following absolute value inequalities matches this scenario?


Question 1 options:

A) 
|x + 25| > 6

B) 
|x – 25| ≤ 6

C) 
|x + 25| ≤ 6

D) 
|x – 6| > 25

Answers

Answer:

|x – 25| ≤ 6

Step-by-step explanation:

Given:

Car run per gallon = 25 miles per gallon

Fluctuate value = 6 miles per gallon

Find:

Equation

Computation:

x ≤ 25 ± 6

|x – 25| ≤ 6

Answer: x-25[<6

by-step explanation:

find the equation

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