Which expression is equivalent to *picture attached*

Which Expression Is Equivalent To *picture Attached*

Answers

Answer 1

Answer:

[tex]\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]

Step-by-step explanation:

Given expression : [tex]\sum_{n=3}^{20}(n(n+1))[/tex]

Solving further :

[tex]\Rightarrow \sum_{n=3}^{20}(n^2+n)[/tex]

[tex]\Rightarrow \sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]

So, [tex]\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]

So, The given expression is equivalent to Option A

So, Option A is the answer


Related Questions

On a trip, a car traveled 80 miles in an hour and a half, then was stopped in traffic for 30 minutes, then traveled 100 miles during the next 2 hours. What was the car's average speed in miles per hour for the 4-hour trip?

Answers

Answer:

45 mph

Step-by-step explanation:

Can someone please help with this question below!! i’ll put question 18 in another post right now

Answers

Answer: B

Step-by-step explanation:

In an equilateral triangle, altitudes are also medians.  Thus, the bisect their vertex angles.

Hope it helps <3

I am pretty sure that the answer is B

Given: F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2
Find FG H(2)
0 121
27
071

Answers

Answer

24

Explanation

The format of the question is convoluted, I will assume you mean:

F(x) = 2x - 4
G(x) = 3x + 2
H(x) = x^2

And you want to find FGH(2) ?

1) To evaluate H(2), substitute
x = 2 into the function H(x) = x^2

H(2) = 2^2 = 4

2) To evaluate G(H(2)) substitute
x = 4 (since this is value obtained from H(2)) into the function
G(x) = 3x + 2

G(4) = 12 + 2 = 14

3) To evaluate F(G(4)) substitute x = 14 into the function F(x) = 2x - 4

F(14) = 28 - 4 = 24

Answer:

FG H(2) = F*G*H(2) = 0

Step-by-step explanation:

Your  F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2 requires a bit of guesswork for the reader to understand it.  I believe you meant:

F(x) = 2x - 4; G(X) = 3x + 2; H(x)=x2 Find FG H(2)

First find F(2):  f(2) = 2(2) - 4 = 0

Because this multiplicand is zero, further multiplication will result in zero also.  Thus, the final answer is zero (0).

Mr. Avogadro started with 5.14x10^22 atoms of Pa-234. Ten days later Mr. Avogadro calculated the original sample had only 6.43 X 10^21 atoms of Pa-234. What's the half life of Pa-234? PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

is 1

step by step explanation:

the answer is 1 hope this helped you!!!!:)

Pls, help my sister I will mark the brainliest! Very easy!



Write equivalent fractions of

2/3 5/6 1/4

Answers

Answer:

4/6

10/12

3/2

Step-by-step explanation:

2/3=2/3*2/2=4/6

5/6=5/6*2/2=10/12

1/4=1/4*3/3=3/12

You can multiply the fraction with any whole number to get the equivalent fraction of any fraction.

Hope this helps ;) ❤❤❤

4/6

10/12

3/2

Step-by-step explanation:

2/3=2/3*2/2=4/6

5/6=5/6*2/2=10/12

1/4=1/4*3/3=3/12

PLZ I WILL GIVE BRAINLIEST AND IT HAS 20 POINTS The volume of a cylinder is approximately 72 feet cubed. Which is the best approximation of the volume of a cone with the same base and height as the cylinder? 24 feet cubed 216 feet cubed 24 pi feet cubed 216 pi feet cubed

Answers

Answer:

24 feet cubed

Step-by-step explanation:

When comparing the volume formula for a cone and the volume formula for a cylinder, a cone is 1/3 of a cylinder. Therefore, divide 72 by 3 to get the volume of a cone with the same base and height. It would not be 24 pi feet cubed because 72 feet cubed is already multiplied by the pi.

Answer:

24 feet cubed

Step-by-step explanation:

Volume formula:

V cylinder = BhV cone = 1/3Bh

The ratio:

V cylinder / V cone = Bh ÷ 1/3BhV cylinder / V cone = 3 ÷ 1

Plugging in the value of cylinder to find the value of cone:

72 ÷ x = 3 ÷ 1x= 72 ÷ 3x= 24 ft³

24 feet cubed is the best estimate

Why Taraaaaaaa >:C Can somebody please help me?

Answers

Answer:

4 hours

Step-by-step explanation:

3/5 of 8 hours

3/5 * 8 = 4.8 hours

Then she lost 1/6 of the 4.8 hours

4.8 * 1/6

.8

4.8 - .8 = 4

She got 4 hours of sleep

The answer is 4 hours of sleep

Compare 6 ⋅ 108 to 3 ⋅ 106.

Answers

Answer:

6*108>3*106

Step-by-step explanation:

If you multiply 6, and 108, you would get 648.

And if you were to multiply 3 and 106 you would get 318. And 648>318.

Therefore, 6*108>3*106

6*108=648
3*106=318

COMPARE:
648(6*108) is greater than 318(3*106)

hope this helps <3 if you have any questions comment them ;)

Consider the following function. F(x)=3/2+4 Using the given function, plot all the ordered pairs for the values in the domain below. (-8,-4,-2,0,2,4)

Answers

Answer:

zephyr

Step-by-step explanation:

ez i am god of thunder

Giving Brainly Please Help I Am In A Rush: A 2-column table with 5 rows titled Games Played. Column 1 has entries a percent, a percent, a percent, a percent, b percent. Column 2 has entries c, c, c, c, d. So far this season, a team has won 51 out of 68 games. Identify the values of a, b, c, and d that complete the bar diagram for this situation. a = 10, 25,51,100 b = 25,51,68,100 c = 12.75,14,17,51 d = 30,51,68,100

Answers

Answer:

the answer is below

Step-by-step explanation:

a = 25  

b =  100

c =  17

d =  68

Answer:

The correct answer is

a=  25

b = 100

c = 17

d = 68

Step-by-step explanation:

Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.

Answers

Answer:

A. The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Given

[tex]Equation\ 1: x - 3y = 1[/tex]

[tex]Equation\ 2: 7x + 2y = 7[/tex]

Required

Efficient way of solving the equations

The efficient way of solving this problem is by solving for x in the first equation because it has a coefficient of 1;

The evidence is shown as follows;

Make x the subject of formula in equation 1

[tex]x = 1 + 3y[/tex]

Substitute 1 + 3y for x in equation 2

[tex]7x + 2y = 7[/tex]

[tex]7(1 + 3y) + 2y = 7[/tex]

Open bracket

[tex]7 + 21y + 2y = 7[/tex]

[tex]7 + 23y =7[/tex]

Make y the subject of formula

[tex]23y = 7 - 7[/tex]

[tex]23y = 0[/tex]

Divide both sides by 23

[tex]\frac{23y}{23} = \frac{0}{23}[/tex]

[tex]y = 0[/tex]

Recall that x = 1 + 3y

Substitute 0 for y in the above expression

[tex]x = 1 + 3(0)[/tex]

[tex]x = 1 + 0[/tex]

[tex]x = 1[/tex]

Solving for y in the second equation will take more steps

Answer:

A: The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal number of jars to each of his 7 restaurants. Which expression represents the number of jars of pickles that each restaurant received? A. 6p-7 B. [tex]\frac{6p}{7}[/tex] C. 6p+7 D. 7(6+p) E. [tex]\frac{6}{7p}[/tex]

Answers

Answer:

B. 6p/7

Step-by-step explanation:

6p = the total amount of pickles

The problem says that he distributes them evenly to 7 restaurants, so that's dividing.

So your answer is 6p/7

Answer: b 6p/7

Step-by-step explanation: 6p = the total amount of pickles. The problem says that he distributes them evenly to 7 restaurants, so that's dividing. So your answer is 6p/7.

At a concession​ stand,three hot dog(s) and two hamburger(s) cost ​$8.25​;two hot dog(s) and three hamburger(s) cost ​$8.00. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog​? $_____

Answers

Answer:

The cost of one hot dog and the cost of one hamburger is $3.25

The cost of one hot dog is $1.75

Step-by-step explanation:

Let the number of hot dogs be represented by d and hamburgers be h

3d + 2h = 8.25 ----- eqn(I)

2d + 3h = 8.00 ----- eqn(II)

From eqn(I): d = (8.25 - 2h)/3

substitute the expression for d into eqn(II)

2d + 3h = 8

2(8.25 - 2h)/3 + 3h = 8

(16.50 - 4h) + 3h(3) = 8(3)

16.50 - 4h + 9h = 24

5h = 24 - 16.50

5h = 7.50

h = 7.50/5 = 1.50

One hamburger costs $1.50

d = (8.25 - 2h)/3 = (8.25 - 2×1.50)/3 = (8.25 - 3.00)/3 = 5.25/3 = 1.75

One hot dog costs $1.75

Cost of one hot dog and cost of one hamburger = $1.75 + $1.50 = $3.25

Jackson is attending a lacrosse game that is halfway through the first quarter.
4) What fractional part of the game is left?
5) If 7 minutes of playing time have past, how many total minutes of playin
time are there in the game?
6) How many minutes of playing time are left in the game?

(I'll also need help on the shading for the fraction picture)

Answers

Answer:

4) 1/8

5) 56

6) 49

First shaded boxes = 4/7

Second shaded boxes = 1 out of 8 boxes are shaded = 1/8

Step-by-step explanation:

1/2x1/4=1/8

7X8=56

59-7=49

First shaded boxes = 4 out of 7 are shaded = 4/7

Second shaded boxes = 1 out of 8 boxes are shaded = 1/8

The fractional part of the game is left   [tex]\frac{7}{8}[/tex]  , total minutes of playing time 56 mins and playing time are left in the game is 49 mins .

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

According to the question

Jackson is attending a lacrosse game that is halfway through the first quarter

i.e,  Game played = [tex]\frac{1}{2} *\frac{1}{4}[/tex]

       Game played = [tex]\frac{1}{8}[/tex]  

a) fractional part of the game is left

Game left  = 1 -  [tex]\frac{1}{8}[/tex]  (treated complete game as 1 )

                 =    [tex]\frac{7}{8}[/tex]  

b)  If 7 minutes of playing time have past,  

i.e  [tex]\frac{1}{8}[/tex]  part of game is completed in 7 mins

therefore,

1 whole will complete in 7*8 = 56 mins

c) Minutes of playing time are left in the game

As,

total time to complete the game - game played time

=  56 -  7

= 49 mins

as in the fraction of shading question

a) [tex]\frac{4}{7 } is shaded[/tex]

b) [tex]\frac{1}{8}[/tex] is shaded

Hence , the fractional part of the game is left   [tex]\frac{7}{8}[/tex]  , total minutes of playing time 56 mins and playing time are left in the game is 49 mins .

To know more about fraction here :

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The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivative. 20 POINTS

Answers

Answer:   -3

Work Shown:

s(t) = -9 - 3t

s ' (t) = -3 ... apply the derivative

The position function is linear, so the derivative is constant. The slope of any straight line is the same regardless of where you are on it, so that's why the velocity is a single fixed number. Put another way, the slope of the line is exactly the velocity (since slope = rise/run = change in distance over change in time). It doesn't matter what the value of t is, the velocity will be -3

Answer:

Step-by-step explanation:

i am doing the SAME THING

Rewrite the formula to determine the number of tickets they need to sell

Answers

Answer:

n = [tex]\frac{p}{(d-c)}[/tex]

Step-by-step explanation:

The goal is to solve for n meaning n needs to be by itself. In the current formula, n is multiplied by (d-c). Get n by itself by dividing both sides by (d-c).

What is the measure of ACE in the diagram below?

A. 46
B. 104
C. 29
D. 58

Answers

Answer:

C

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = [tex]\frac{1}{2}[/tex] (AE - BD ) = [tex]\frac{1}{2}[/tex] (104 - 46)° = [tex]\frac{1}{2}[/tex] × 58° = 29° → C

Answer : C
***HOPE THIS HELP YOU***

The temperature at noon is -4 degrees Celsius. The temperature at 6:00pm is -12 degrees Celsius. What is the difference between the noon and the 6:00pm temperatures?

Answers

Answer: -8 degrees

Step-by-step explanation: 12-4 is 8 so the difference is -8

The graph shows the function f(x) = |x-hl + k. What is
the value of h?
h = -3.5
h=-1.5
h = 1.5
h = 3.5

Answers

the graph show

the value of h is 3.5

The value of h is -1.5.

The correct option is B.

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

function f(x) = |x - h| + k and the vertex of function is (h, k).

Here, in this question,

the vertex of the point in the graph (-1.5, -3.5).

Thus, the value of h is -1.5.

Learn more about Function here:

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A Magic Carpet is 12 feet long and 10 feet wide. However, only the purple part of the Magic Carpet has magic power. If the magic part is 2 feet wide, find the area of the magic part of the Magic Carpet.

Answers

Answer:

24 ft.

Step-by-step explanation:

2x12=24

What is the value of x to the nearest tenth? The figure is not drawn to scale.
5.4
6.3
11.2
x

Answers:
A. x=2.1
B. x=3.4
C. x=9.6
D. x=13.1

Answers

Answer:

we need picture

Step-by-step explanation:

probaby d tho

Perform the required operationson the following functions.
Given: f(x) = 3 - x; g(x) = -2x
Find g[f(x)]
2x-6
2x+3
-x-6

Answers

Answer:

2x-6

Step-by-step explanation:

g[f(x)]

g(3-x)

-2x(3-x)

2[tex]x^{2}[/tex]-6x

2x-6

The answer is 2x-6......

What properties must a quadrilateral possess in order for the quadrilateral to be classified as a.. trapezoid isosceles trapezoid

Answers

Answer:

Step-by-step explanation:

The typical isosceles trapezoid will have a uniform width, measured vertically, but two ends that are not square (not perpendicular to the x-axis.  The two sloping ends are congruent (their slopes have exactly the same slope.

The same could be said of an isosceles trapezoid that is vertical; the sloping ends have the same slope.

Answer:

2 parallel sides

2 non-parallel, congruent sides

Step-by-step explanation:

As any other quadrilateral, an isosceles trapezoid has 4 sides. 2 sides must be parallel. The other two sides cannot be parallel but must be congruent.

Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin.

Answers

Answer: Triangle with the three corner points at (0, 0)(4, -8)(-8, -8)

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

Explanation:

Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise

A = (0,0)

B = (2,-4)

C = (-4,-4)

Dilating with a scale factor 2 means we multiply each coordinate of each point by the value 2

A = (0,0) becomes A' = (0,0). No change happens. This point is fixed

B = (2,-4) becomes B' = (4,-8). This point does move

C = (-4,-4) becomes C' = (-8,-8). This moves as well

So all you need to do from here is draw triangle A'B'C'.

-----------------

Side note: the lengths of triangle A'B'C' are twice as long as their counterparts on triangle ABC. Consequently, this means the perimeter of A'B'C' is twice as long as the perimeter of ABC. Also, triangle A'B'C's area is four times larger than the area of triangle ABC.

Triangle with the three corner points at

A' = (0,0). B' = (4,-8). C' = (-8,-8). what is Dilation?

Meaning of Dilation in Math. Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the objects. The result of this transformation is an image with the same shape as the original.

Given:

Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise

A = (0,0)

B = (2,-4)

C = (-4,-4)

Dilating with a scale factor 2

A = (0,0) --> A' = (0,0).

B = (2,-4) --> B' = (4,-8).

C = (-4,-4) --> C' = (-8,-8).

Learn more about Dilation here:

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Please help me with this geometry question:((

Answers

Answer:

7.06

Step-by-step explanation:

Write a proportion using similar triangles.

DF / DG = DE / GE

x / 8 = 15 / 17

x = 7.06

The answer is
X = 7.06

help me plz i need help i need help

Answers

Answer:

the third one

2/9 converted into decimal rounded to the nearest hundreth​

Answers

Answer:

0.22

Step-by-step explanation:

2/9 as a decimal is 0.22222222

This number rounded off to its nearest hundredth is 0.22

Hope it helped

Answer:

[tex]\boxed{\sf 0.22}[/tex]

Step-by-step explanation:

[tex]\sf \frac{2}{9} =0.2222222222222222...[/tex]

[tex]\sf Round \ to \ nearest \ hundredth.[/tex]

[tex]\sf \frac{2}{9} \approx 0.22[/tex]

Look at the triangle:

What is the value of cos xº? (1 point)
A. 8÷17
B. 17 = 8
C. 15 = 17
D. 8 = 15​

Answers

Answer:

15/17

Step-by-step explanation:

You can calculate cosine by doing adjacent / hypotenuse so cos x° = 15/17.

Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a

square pyramid and is covered in shiny gold foil.

3 in

How much gold foil did it take to cover the trophy, including the bottom?

inches

Answers

Answer:

45 square inches

Step-by-step explanation:

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom

Total surface  =  surface area of the base square + area of 4 triangles

Calculate the surface area of the base square

surface area of the square =  s^2

where s= side length

s=3 in

The surface area of the base  =s^2

=3^2

= 9 square inches

The surface area of the side triangles

The area of the triangle = (1/2)* side length* slant height

Side length=3 in

Slant height=6 in

substituting the values,

The area of the triangle =1/2*3*6

= 18/2

= 9 square inches

There are 4 triangles

The area of 4 triangles  =  4 x 9  

= 36 square inches

Therefore,

Total surface  =  surface area of the base square + area of 4 triangles

=  9 + 36

= 45 square inches

Answer:

IT'S 216 TRUST ME!

Step-by-step explanation:

Help plz help I need help

Answers

Answer:

Step-by-step explanation:

There is a 1/20 chance of getting a 1.

This is a 5% chance.

I would say it's highly unlikely.

If this helped, please mark brainliest :D

Answer:

highly unlikely

Step-by-step explanation:

It's certainly not impossible because there is a 1 on the board. However, the probability of landing on the 1 is 1/20 and since that number is really small, it is highly unlikely.

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Had he been a man of pure morals himself, he might have been thought interested in protecting the innocence of my aunt; but those who knew him will not suspect him of any such virtue. Before he commenced whipping Aunt Hester, he took her into the kitchen, and stripped her from neck to waist, leaving her neck, shoulders, and back, entirely naked. He then told her to cross her hands, calling her at the same time a d----d b---h. After crossing her hands, he tied them with a strong rope, and led her to a stool under a large hook in the joist, put in for the purpose. He made her get upon the stool, and tied her hands to the hook. She now stood fair for his infernal purpose. Her arms were stretched up at their full length, so that she stood upon the ends of her toes. He then said to her, "Now, you d----d b---h, I'll learn you how to disobey my orders!" and after rolling up his sleeves, he commenced to lay on the heavy cowskin, and soon the warm, red blood (amid heart-rending shrieks from her, and horrid oaths from him) came dripping to the floor. I was so terrified and horror-stricken at the sight, that I hid myself in a closet, and dared not venture out till long after the bloody transaction was over. I expected it would be my turn next. It was all new to me. I had never seen any thing like it before. I had always lived with my grandmother on the outskirts of the plantation, where she was put to raise the children of the younger women. I had therefore been, until now, out of the way of the bloody scenes that often occurred on the plantation. In Sparrowtown, the use of landlines has been declining at a rate of 5% every year. If there are 20,000 landlines this year, how many will there be in 15 years? If necessary, round your answer to the nearest whole number. A short story about human cruelty is adapted for dramatic radio broadcast. What choice might the broadcast's producer make to present the theme effectively? A. Insult the audience throughout the broadcast B. Play suspenseful music when a character is acting cruelly C. Have the actors share memories of times when they were cruel D. Have an actor step out of character to deliver a moral to the audience