Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 2 + 8 + 14 + 20 + ...


a. Use sigma notation to write the series. Explain what the numbers in the sigma notation represent in this situation and how you found the expression used in the summation.
b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads.

Answers

Answer 1

Answer:

Step-by-step explanation:

Well, first we are going to add the beads together.

2 + 8 + 14 + 20 = 44

Next, let's multiply the sum by 18 because there are 18 rows of 44 beads.

18 x 44 = 792

I hope this answer helps. I not sure how to solve the sigma notation part, but there is the solving part. ;)


Related Questions

10 + 10 + 10 is equal to
30
40
50
1

Answers

Answer:

30

Step-by-step explanation:

10 + 10 = 20 + 10 = 30

Another way is 10 • 3 = 30

Priya can bike 150 meters in 20 seconds at this rate , how long would it take her to bike in 3,000 meters???????? Does anyone know I’m stuck

Answers

Answer:

400 seconds

Step-by-step explanation:

150/20=7.5 meters per second

3000/7.5=400 seconds

Priya will take 400 seconds to cover distance of 3,000 meters.

What is speed?

In unit time, the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.


Given that,

Distance covered by Priya in 20 seconds = 150 meters.

The speed of Priya = 150 / 20 = 15/2 meters per second

To find the time to cover the distance of 3,000 meter,

Use formula,

Time = distance / speed

Time = 3,000 / (15/2)

Time = 400 seconds

To cover 3,000-meter distance, Priya will take 400 seconds.

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Which system of inequalities with a solution point is
represented by the graph?
y> 2x - 2 and y < -1/2x + 1; (3,1)
y> 2x - 2 and y< -1/2x + 1; (-3,1)
y>2x+2 and y < - 1/2x - 1; (3,1)
y> 2x+2 and y < -1/2x + 1; (-3,1)

Answers

Answer:D

Step-by-step explanation:

Answer: D. y>2x+2 and y<-1/2x+1; (-3, 1)

Step-by-step explanation:

matthews bed takes up 1/3 of the width of his bedroom 3/5 of the length. what fraction of the area of the floor does matthews bed take up?

Answers

1/5 of the area of the floor

(............)

Answer:

1/5 (one fifth)

Step-by-step explanation:

if x is the length of the bedroom and y is the width then we can do big brain maffs

Length of floor = x

Width of floor = y

Length of bed = 3/5*x or 3x/5

Width of bed = 1/3*y or y/3

Area of floor = xy

Area of bed = 3x/5 * y/3 = xy/5

Area of bed/Area of floor = (xy/5) / xy = 1/5

What is the image point of (-4, 2) after a translation left 1 unit and down 2 units?

Answers

Answer:

(- 5, 0 )

Step-by-step explanation:

A translation of 1 unit left means subtract 1 from the x- coordinate.

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

(- 4, 2 ) → (- 4 - 1, 2 - 2 ) → (- 5, 0 )

The translated coordinate is (-5, 0).

What is Translation?

A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction.

Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.

Given:

Image point (-4, 2)

And, now we have to translate the figure left 1 unit and down 2 units

So, A translation of 1 unit left means subtract 1 from the x- coordinate.

and translation of 2 units down means subtract 2 from the y- coordinate.

Thus, (- 4, 2 ) ----> (- 4 - 1, 2 - 2 ) ----> (- 5, 0 )

Hence, the translated coordinate is (-5, 0).

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Solve for h.



6.51−9.32+h=1.02



Enter your answer as a decimal in the box.

Answers

The answer is 3.83 !
Hope it helped
The answer would be 3.83

The numerator of a fraction is 5 less than its denominator. If 1 is added to each its
value becomes 1/2. Find the original fraction.
Please solve it..​

Answers

Answer:  4/9

Step-by-step explanation:

Let x represent the denominator. Then the fraction is: (x - 5)/x

Add 1 to the numerator and denominator   →     (x - 5 + 1)/(x + 1) = 1/2

Cross Multiply:                   1(x + 1) = 2(x - 4)

Distribute:                             x + 1 = 2x - 8

Subtract x from both sides:       1 = x - 8

Add 9 to both sides:                  9 = x

Numerator:  x - 5    →     9 - 5 = 4

Denominator:  x     →     9

So the fraction is: 4/9

Select all of the symbols that would make the comparison true. 2.5___2.05

Answers

Answer:

the 2.5 has is the bigger one

Step-by-step explanation:

if you are talking about "which one is greater" than i think its right

Can someone help me identify what kind of angle this is? corresponding, alternate exterior, alternate interior etc

Answers

its an alternate exterior angle

I NEED HELP ASAP (Only answer b )

Amani is calculating the slope of the trendline in the scatterplot below. How can she use the trendline to
check the reasonableness of her answer in other words how can she verify that her trendline fits the
data point

Answers

Answer:

Step-by-step explanation:

When Steven celebrated his first birthday, his grandmother gave him $1. For each birthday after that, she doubled the amount of money that she gave him for the previous birthday. By the time Steven turned nine years old, how much money had his grandmother given him?

Answers

Answer:

Step-by-step explanation:

the amount gave on his first birthday=$1

therefore,

1,1*2,1*2*2,1*2*2*2,1*2*2*2*2,1*2*2*2*2*2,1*2*2*2*2*2*2,1*2*2*2*2*2*2*2,1*2*2*2*2*2*2*2*2,1*2*2*2*2*2*2*2*2*2

therefore ,1,2,4,8,16,32,64,128,256

therefore money given at the age of 9 is $256

Please help now! Simplify -4x - x.
A. -5x
B. -4x
C. -3x

Answers

Answer:

the answer is -5x

Step-by-step explanation:

plz give me 5star

Anwser is B hope this helps brainleist is appreciated

O need help I keep getting my the answer wrong I need a remainder and and I can’t get it right

Answers

Answer:

7.18

Step-by-step explanation:

The entire answer is 7.17808219, but I rounded it to the nearest hundreth.

In the diagram shown, lines m and n are
crossed by transversal line t. Why are m and
n not parallel?

Answers

Answer:

Step-by-step explanation:

If two line 'm' and 'n' are parallel and a transversal line 't' i intersecting these lines at two distinct points,

Sum of interior consecutive angles should be 180°.

(Property of the angles formed between parallel lines and a transversal line)

Therefore, 114° + 64° = 180°

178° = 180°

Which is not true.

Therefore, lines 'm' and 'n' are not the parallel lines.

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2010 was 164, and then went down by 50% in 2011. How many robberies were there in Springfield in 2011?

Answers

Answer:

82

Step-by-step explanation:

164 * 0.5 = 82

You are taking the current number 164, and halving it.

What type of number is -v4

Answers

Answer:

-2

Step-by-step explanation:

first one to answer will be marked brainliest
5/8-5/24

Answers

Answer:

0.417

*I rounded

Or fraction form, 5/12

Answer:

5/12

Step-by-step explanation:

or in decimal form its 0.416 with the 6 repeating

There are 24 students in a classroom.



1/3 of the students are wearing a red shirt.

1/4 of the students are wearing a blue shirt.

Everyone else is wearing a white shirt.



How many students in the classroom are wearing a white shirt?
amswer choices
7 students

10 students

17 students

Answers

10 students
1/3 of 24 is 8
1/4 of 24 is 6
8+6=14
24-14=10
so 10 students is the answer

PLEASE HURRY
Which equation can be used to represent the statement?
Half of a number minus seven is one and five-tenths.
o 3+x= 1.5
0 1 / 2 x - 1.5=7
o 2-7=15
07-3=1.5

Answers

Answer:

C

Step-by-step explanation:

Your welcome!!!!!!!!

In the coordinate plane, point B has coordinates (2,3) and is the midpoint of the line segment AC. The coordinates of points A and C are (p,7) and (−6,−1), respectively. What is the value of p ?

Answers

Answer:

The value of p is 10

Step-by-step explanation:

Here, we are told that the midpoint of the segment AC is B. What this means is that, applying the midpoint formula on AC would give the coordinates of B.

Mathematically;

(x,y) = {(x1 + x2)/2, (y1 + y2)/2}

(2,3) = (p -6)/2 , (7-1)/2

equating identities;

(p-6)/2 = 2

p-6 = 2 * 2

p-6 = 4

p = 4 + 6

p = 10

The value of p as described in the question is; 10

Since the point B, with coordinates (2,3) is the midpoint of the line segment AC.

Therefore, the x-coordinate of point B (2) is the midpoint of the x-coordinate of point A and C.

The value of p can then be evaluated as follows;

(p + (-6))/2 = 2

By Cross-product; we have;

p - 6 = 4

p = 4 + 6

p = 10.

The value of p is therefore; 10

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What is the value of a in the equation 3 a plus b equals 54 when b equals 9?

Answers

Answer:

a= 15

Step-by-step explanation:

Given

3a + b = 54 ← substitute b = 9

3a + 9 = 54 ( subtract 9 from both sides )

3a = 45 ( divide both sides by 3 )

a = 15

Which statement about numbers is true?
A. All integers are natural numbers.
B. All rational numbers are integers.
C. All natural numbers are whole numbers.
D. All rational numbers are natural numbers.

Answers

Answer:

C) All natural numbers are whole numbers.

Step-by-step explanation:

I got the awnser right on my quiz.

Hope this helps! :)

Answer:

c

Step-by-step explanation:

What is the product of 2 * -5?

Answers

Answer:-10

Step-by-step explanation:a negative times a positive equals a negative

Answer:

-10

Step-by-step explanation:

When you multiply a negative number to a positive number, your answer is a negative number. It doesn't matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number

Alyssa read 25 pages of a new book the first day she bought it. After the first day, she read 5 pages a day. If the book was 350 pages, which equation can be used to determine how many days it will take Alyssa to finish her book?

Answers

Answer:

(350-25)-5p=0

Step-by-step explanation:

Y+2=-3(x-2) solve for y

Answers

your answer will be y=-3x+4

Answer:

y=-3(x-2)-2

y=-3x+6-2

y=-3x+4

Tony made $90 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?

Answers

Answer: $216

Step-by-step explanation:

If you divide 90 by 5 then you get 18 so 18 multiplied by 12 is 216.

what is the equivalent expression of 0.5

Answers

Answer:

1/2=0.5

Step-by-step explanation:

5p squared + 12q squared

Answers

Answer:

17p squared

Step-by-step explanation:

write the equation of the line that is perpendicular to x+y=-5 and passes through the point (7,3)

Answers

Answer:

x - y = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + y = - 5 ( subtract x from both sides )

y = - x - 5 ← in slope- intercept form

with slope m = - 1

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1 , thus

y = x + c ← is the partial equation

To find c substitute (7, 3) into the partial equation

3 = 7 + c ⇒ c = 3 - 7 = - 4

y = x - 4 ← equation in slope- intercept form

subtract y from both sides

0 = x - y - 4 ( add 4 to both sides )

4 = x - y , that is

x - y = 4 ← equation in standard form

simplify the following polynomial expression. [tex](5x^{3} +4x^{2} +6x-3)+(-2x^{3} +3x^{2} -7x+9)-(5x+3)(4x^{2} +x-1)[/tex]

Answers

Here is the answer hope it helps

Answer:

-17x^3-10x^2+x+9

Other Questions
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The following additional events occurred during the month.1. Purchased additional raw materials of $90,000 on account. 2. Incurred manufacturing overhead costs as follows: indirect materials $17,000 (including broom polish and specially crafted scissors to trim stray twigs), indirect labor $20,000 (Hansel and Gretel clean the shop and run errands for the elves), depreciation expense on equipment $12,000 (Broomhilda has multiple molding stations for each broom she creates), and various other manufacturing overhead costs on account $16,000. 3. Assigned direct materials and direct labor to jobs as follows:Job no. Direct Materials Direct Labor50 10,000 5,00051 39,000 25,00052 30,000 20,000Required:1. Calculate the predetermined overhead rate for September, assuming Broomhilda estimates total manufacturing overhead costs of $840,000 and direct labor costs of $700,000 for September.2. Open job cost sheets for Jobs 50, 51, and 52. 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