WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE

WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE

Answers

Answer 1

Answer:

2,322,775

Step-by-step explanation:

[tex] a_1=4\\\\

a_i=a_{i-1}+11\\\\

\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\

d = a_2-a_1 \\d= 15-4 \\d= 11\\\\

S_{650}=?\\\\

\implies n = 650\\\\[/tex]

By the formula of sum of an Arithmetic Sequence

[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\

S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\

S_{650}= 325 [8+649\times 11]\\\\

S_{650}= 325 [8+7,139]\\\\

S_{650}= 325\times 7,147\\\\

\huge \red {\boxed {S_{650}=2,322,775}} [/tex]


Related Questions

-2 (-3x + 3) + 2x = 58

Answers

Answer:

x = 8

Step-by-step explanation:

Given

- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side

6x - 6 + 2x = 58

8x - 6 = 58 ( add 6 to both sides )

8x = 64 ( divide both sides by 8 )

x = 8

Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
A. 2x = 73
B. 2 x + 2 = 73
C. x^2 + 1= 73
D. 2x + 1 = 73

Answers

I think it’s A..........

qual é 33⅓% de 108?​

Answers

0.333 x 108 = 35.96
= 36 (esta é a resposta final, eu não sei se você realmente precisa dela)

HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.

Answers

Answer:

y= 30x

tep-by-step explanation:

The answer is y=30x hope this helps

Is this function linear or nonlinear?​

Answers

Answer:

nonlinear

Step-by-step explanation:

sorry if im wrong

Answer:

Linear

Have a great day! :)

HELP PLEASE
in order!!!

Answers

Answer:

m<6=54 m<4=126

Step-by-step explanation:

Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!

Answers

Answer:

Option B is correct option.

Step-by-step explanation:

We need to identify equations written in factored form.

Factored form: A factored form of expression is an expression broken down into a product of its factors.

In the given options A, C and D we don't have product of factors.

Only option B consists of product of factors.

So, Option B is correct option.

Which answer choice shows 12.444 rounded to the nearest half?
A. 11
B. 11.5
C. 12
D. 12.5

Answers

Answer:

C. 12

Step-by-step explanation:

Remember 0 to 4 turn it back

5 or above give it a shove.

Since 12.444 is around 0 to 4.

We can round that to 12.

Answer:

C.12

Step-by-step explanation:

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?

Answers

Answer:

20 km/h

Step-by-step explanation:

the total time is 0.5 hours as the cyclist travels for 30 minutes

the formula for speed is distance travelled divided by time taken which gives us 20 km/hr

Hi... can you tell me is this formula is right or wrong?? ​

Answers

Answer:

this formula is right

Find the x and y intercept of the following equation. 10x - 3y = 9​

Answers

Answer:

x-intercept= ( 0.9, 0)

y-intercept= (0,-3)

Step-by-step explanation:

Graph out the equation and look for the x and y intercept.

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram

Answers

Answer:

12

bcz he can't put a 0.725 fish so it will be rounded up back to 12

The greatest number of neon tetra fish he puts in the tank is 12.

What is cuboid?

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.

The tank is 55 cm wide, 28 cm long and height is 33 cm.

And the surface of the water in the tank is 3 cm below the top of the tank.

That means,

to determine the volume,

So, the volume of cuboid

= 55 x 28 x 33

= 50820 cubic centimeters.

And we know 1000 cubic centimeters is 1 liter of water.

So, 50820 = 50.820

And divide by 4

We get the greatest number of neon tetra fish he puts in the tank.

50.820 / 4

= 12.705

≈ 12

Therefore, 12 is the required number for neon tetra fish.

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PLEASEEEE HELPPPPPP WIll add extra pointtss

Answers

Answer is x = 4
Explanation :-

As B is midpoint of SR :- SB = BR and if. SR = 6x then SB = 3x
AC parallel SR ( MID POINT THEOREM )
Hence AC parallel SB
Similarly , AB parallel CS (MID POINT THEOREM)
So ABCS is a parallelogram
And we know that in parallelogram opposite sides are equal so AC = SB
So now we have AC = 5x - 8 and SB = 3x
So, 5x - 8 = 3x
5x - 3x = 8
2x = 8
x = 4

rt - 2n = y solve for t

Answers

Answer:

[tex]t=\frac{y+2n}{r}[/tex]

General Formulas and Concepts:

Pre-Alg

Equality Properties

Step-by-step explanation:

Step 1: Define equation

rt - 2n = y

Step 2: Solve for t

Add 2n to both sides:                    rt = y + 2nDivide both sides by r:                   t = (y + 2n)/r

Graph the linear equation x=4.

Answers

Here is your answer ⬇️

A linear equation has only more than one additional, that may be expressed as [tex]\bold{ax + by = c}[/tex], and the further discussion can be defined as follows:

In this, No factor has been raised the power which is greater than one or utilized as the denominator of a fraction.  When we discover pairs of values that satisfy a linear model and plot them on a coordinate grid, all the points fall on the same line.

Please find the attached file of the graph.

Learn more:

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Charles shooting basketballs during recess he made 30 baskets and miss 10 for a total of 40 shots at this rate how many baskets would he miss if he shot a total of eight times?
Please help

Answers

Answer:he would miss three times

Step-by-step explanation:because he missed once every 3 times so which would equal 2.5 which i will round up to 3 to get my answer.

For which equations is the solution for x the same number?
i. 15 - X = -3
ii. x/2 + 6 = 15
iii. -1/3x - 5.7 = 0.3
O A. i and ii
O B. i and iii
O C. ii and iii
O D. i, ii and iii
O E. none of the questions

Answers

Answer:

A. i and ii

Step-by-step explanation:

i) 15 - x = -3

x=18

ii) x/2 + 6 = 15

x/2 = 9

x= 18

iii) -1/3x -5.7 = 0.3

-1/3x = 6

x = -18

i want to purchase a necklace for 325$ . ive already saved 115.00 and can set aside 22.00$ a week . which inequality can be used to find the number of weeks it will take to save at least 325.00$?

Answers

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

What is the inverse of the function f(x) = 2x - 10?

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]

You are purchasing a book that cost $22.00. The sales tax is 8%. What is the total amount of your purchase?
A. $0.18
B. $1.76
C. $23.76
D. $17.60

Answers

Answer:

C

Step-by-step explanation:

22.00*0.08=1.76

22.00+1.76 = 23.76

Answer:

c

Step-by-step explanation:

22*0.08=1.76

the total would be the cost plus tax

22+1.76=23.76

hope this helps :3

5) y=-2
4x – 3y = 18
This

Answers

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

HELP PLEASEEEEEEE ASP!!
WILL GIVE BRAINLIEST ❤️

Find the slope of the line passing through the given
points using the slope formula. Describe the slope as
positive, negative, zero, or undefined.
(-7, -18) and (-7,-4)

Answers

Answer:

Step-by-step explanation:

Slope formula= rise over run, or y2-y1 over x2-x1

y2=-4 y1=-18 x2=-7 x1=-7

-4-(-18)/-7-(7)

-22/-14 negative

Answer:

7/11

Step-by-step explanation:

the slope is positive. tell me what happens

if you use synthetic division for this polynomial: 3x^5-12x^4+12x^3+30x^2-39x-42. What would the answer be?

Answers

Answer : x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14

Explanation :

(3x^5-12x^4+12x^3+30x^2-39x-42)/3 = x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14

13) Find the value for x and y.
Someone help me please thanks

Answers

Answer:

x=14 y=37

Step-by-step explanation:

Which graph displays a directly proportional relationship?

Answers

Answer:

top graph

Step-by-step explanation:

The graph of a proportional relationship is a straight line passing through the origin.

The only straight line graph passing through the origin is the top one

The graph on option A displays a proportional relationship.

Option A is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line on the graph is given as:

y = mx + c ____(1)

The graph on option A.

If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.

We will select two points on the graph.

i.e

(2, 2) = (a, b) and (3.3) = (c, d)

Slope:

m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1

Let (2, 2) = (x, y) and putting in (1) we get,

2 = 1 x 2 + c

2 = 2 + c

c = 2 - 2 = 0

c = 0

The slope of the line is 1

The equation of the line is y = x

Thus,

The graph displays a proportional relationship.

Option A is the correct answer.

Learn more about equation of a line here:

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I WILL GIVE YOU BRAINLIEST!!!!!!
Which of the following is equivalent to –(–5.25)?


–5

5

5.25

–5.25

Answers

Step-by-step explanation:

The decimal number 5.25 is equal to the fraction 21/4.

What is the equation of this graphed line?

Enter your answer in slope-intercept form in the box.

Answers

Answer:

Step-by-step explanation:

y=1/2-5x

Answer:

y = -1/3x - 5

Step-by-step explanation:

Using points on the graph to get the equation

Slope intercept form:

y = mx + b

From the graph, point (0, -5) we can see y-intercept is b = -5

An calculating the slope using two points (-6, -3) and (6, -7):

m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3

So the line is:

y = -1/3x - 5

Liberty Center Middle School has 1,200 students. In Sophia’s class, 3 out of 4 students borrowed library books. Based on these results, how many students at the school would you expect to borrow library books?

Answers

Answer:

We expect 900 students to borrow library books

Step-by-step explanation:

Proportions

If two variables are proportional, then one of them can be obtained as the other times a fixed number.

If x and y are proportional, then:

y=k.x

Where k is the constant of proportionality

The value of k can be obtained by dividing y/x.

That division, also called ratio gives us the proportion to be applied to future calculations.

In Sophia's class, 3 out of 4 students borrowed library books.

This gives us a proportion ratio of 3/4.

If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have

3 / 4 * 1200 = 900 students borrowing library books.

We expect 900 students to borrow library books

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?
Because Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater.
Because Five-thirds less-than three-halves, the slope of the climbing equipment at the playground is greater.
Because Three-fifths greater-than two-thirds, the slope of the climbing equipment at the gym is greater.
Because Three-fifths less-than two-thirds, the slope of the climbing equipment at the playground is greater.

Answers

Answer:

I think its D but I'm not that sure about it.

Step-by-step explanation:

Because three fifths less than two thirds, the slope of te climbing equipment at the playground is greater.

Answer:

A)

Step-by-step explanation:

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.

Therefore its slope = length of the equipment vertically / length of equipment horizontally

=  6/4 = 3/2 = 1.5

And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.

Therefore slope, =  10/6 = 5/3=1.67 (approx)

Since, >

Therefore, Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater

(I finished the quiz and got it correct, it is A.)

What is the Zero of f ?

Answers

Answer:

(-1, 0)

Step-by-step explanation:

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