Determine S44 of the arithmetic series 1 + 4 + 7 + 10 + ...

Answers

Answer 1

9514 1404 393

Answer:

  2882

Step-by-step explanation:

The sum of an arithmetic series is given by ...

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

For a1 = 1, d = 3, n = 44, we can fill in the values and do the arithmetic:

  [tex]S_{44}=\dfrac{44(2(1)+3(44-1)}{2}=22(2+3\cdot43)\\\\\boxed{S_{44}=2882}[/tex]


Related Questions


Nicole is half as old as Donald. The sum of their ages is 72.
How old is Nicole, in years?

Answers

Answer:

24

Step-by-step explanation:

The sum of the their ages is 72. 48 divided by 2 is 24. 48 plus 24 is 72

Based on the sum of their ages and their age relationship, Nicole can be said to be 24 years.

Expression of Nicole's age

Nicole is half as old as Donald which means that Donald is twice as old as Nicole. Assuming Nicole is aged x years, the equation would be:

Nicole age + Daniel age = 72

x + 2x = 72

Nicole's age

Solving would give:

x + 2x = 72

3x = 72

x = 72 / 3

x = 24

In conclusion, Nicole is 24.

Find out more on age relationships at https://brainly.com/question/24859453.

Answers

Answer:

ig this is free pionts, sry whats the question???

Step-by-step explanation:

Shareen walked a total of 9.52 miles in a walk-a thon. If her average speed was 2.8 miles per hour, how long did it take Shareen to complete the walk?

Answers

Answer:

t = 3.4 hour

Step-by-step explanation:

Distance to be covered by Shareen, d = 9.52 miles

The average speed of Shareen, v = 2.8 mph

We need to find the time taken by Shareen to complete the walk.

The formula for average speed,

v = distance/time

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{9.52}{2.8}\\\\t=3.4\ \text{hour}[/tex]

Hence, it will take 3.4 hour to complete the walk.

which impression is equivalent to - 3/4 / -(
8 / 12)​

Answers

I’m not sure if you can

NEED HELP ASAP NOW OR I DIE. -9 to the 28th power as a positive or negative explain​

Answers

Answer:

Positive.

Step-by-step explanation:

Negative to a even power becomes positive


During a trip to the mall, Pam spent $12.95 on a purse, $8.50 for a book, and $3.75 for a smoothie at the food court. She also returned a key chain and received a cash refund of $5.00. If Pam had $24.80 at the end of her trip, how much money did she have initially?

$55.00

$30.20

$37.50

$45.00

Answers

Answer:

The answer is d

Step-by-step explanation:

I used a calculator and i just took away 5.00 from 24.80(which is 19.8) then added all the other numbers to 19.8

Regina spent $45.50 over 6 1/2 months on music downloads. If she spent the same amount of money each month, how much money did Regina spend per month on music downloads? Choose the equation that can be used to represent the situation?

Answers

Answer:

It should be B, -45.50÷6.5=−7

Step-by-step explanation:

It should be B, -45.50÷6.5=−7

Answer:

Regina spent $7.00 every month.

An equation you can use is 45.50 / 6.50.

Step-by-step explanation:

P.S Can I have brainliest?

A repair man charges $75.00 to come to the house as a service fee. The repairman charges $150 dollars per hour. Which equation best represents the total cost, c, of the repairs?


A. c = 150f + 2.75

B. c = 150-75f

C. c = 150f + 75

D. c = 225f

Answers

the answer would be C

mark me brainliest

TAKE A PIC OF PAPER WITH THE WORK AND AWNSERS I need help ASAP!!! Only 5 questions

Answers

1.

4x-5x+3-8

-x-5

2.

3x^2+8x^2-2x+7x

11x^2-5x

3.

4x+9x+2y+3y^2

3y^2+5y+13x

4.

-5x-7x-2

-5x+-7x-2

-12x-2

5.

6(3x-5)-9x

6(3(4)-5)-9(4)

6(12-5)-36

6(7)-36

6

Answer:

m

Step-by-step explanation:

There are 1/2 as many eighth graders in the choir as seventh graders. There are 48 eight graders. Write and solve an equation to find the number of seventh graders in the choir. (This problem needs to be written as an equation..not just 48x2) Thanks

Answers

Answer:

Step-by-step explanation:

Let x represent the number of seventh graders in the choir:

48=x/2

x=96

Any help please thank you I appreciate it

Answers

Answer:

114.8 degrees

Step-by-step explanation:

supplementary angles basically means angles equal to 180 degrees

how to change a vector direction by 90 degree​

Answers

Answer:

multiply the X part of the vector by -1, and then swap X and Y values

Step-by-step explanation:

A circle representing a pool is graft with a center at the origin grant enters the pool at point A and swims over to a friend who is located at point B

which equation represents grants path

Y=2-4x

Y=4-x/2

Y=6-x/4

Y=8-2x

Answers

Y = 4-x/2 is the correct answer

The reciprocal pronouns each other and one another are used when two or more subjects in a sentence are also

Answers

Answer:

Objects

Step-by-step explanation:

Normally, we make use of reciprocal pronouns in cases where each of two or more subjects are acting in the same manner towards one another. For example, X is talking to Y, and Y is talking to Z.

Thus, the subjects in question must be the same objects for them to be able to relate in the same way.

Answer:objects

Step-by-step explanation:

can someone help me with this question?

Answers

What question??????????

Answer:

what question

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

C) c = 5 ( 3.5b + 10 )

Step-by-step explanation:

This is because the shop will charge a flat rate of $10 per visit. Then it will charge $3.5 per bowl. Hence the equation; (3.5b + 10) is formed. Finally, if one goes there 5 times, they will have to multiply this equation by 5 to find the total cost. Henceforth, C) is the only correct answer.

One batch of cookies requires the following ingredients:

2 1/3 cups of flour

3/4 of a cup of chocolate chips

2/5 of a cup of chopped almonds

1 1/2cups of brown sugar

3/8of a cup of white sugar

1/2 of a teaspoon of salt

Eric wishes to triple the recipe.
How much of each ingredient should he use? Select all that apply.

A) 9/12 cup of chocolate chips

B) 6/5 cups of chopped almonds

C) 1/6 of a teaspoon of salt

D) 1 1/8 cups of white sugar

E) 6 1/3 cups of flour

F) 2 1/2 cups of brown sugar

Answers

ANWSER is 1/2 tea Pisa in salt hope this helped you

A soccer team sells three items for a fundraiser. The table shows the total sales for the items.

The team gets to keep $1 for every $10 in total sales.



Item Total Sales

Hats $196

T-shirts $504

Sweatshirts $420


Part A

If t is the total sales and k is the amount of money the team gets to keep,

which equations can be used to find the amount the team gets to keep?

Choose all that apply.

A. t ÷ 10 = k

B. k ÷ t = 10

C. 10 × t = k

D. t = 10 × (196 + 504 + 420)

E. 196 + 504 + 420 = t

Part B

How much money does the team get to keep? Enter your answer in the box.

Answers

yeah 420 i think hope this helps

Help I’ll give brainlest. Idk the answer bruh pls :/m

Answers

Answer:

Since the exponent of the scientific notation is positive, move the decimal point 5 places to the right. 290000

Step-by-step explanation:

Answer:

Answer is D(290,000)

Step-by-step explanation:

solve the following equation for y

x+y=3​

Answers

9514 1404 393

Answer:

  y = 3 -x

Step-by-step explanation:

Subtract x from both sides of the equation.

  x -x +y = 3 -x

  y = 3 - x

Answer:

y=3-x

explanation

its that

Indicate a general rule for the nh term of this sequence.
12a, 15a, 18a, 21a, 24a,...

Answers

Answer:

The general rule for the nth term of this sequence will be:

[tex]a_n=3na+9a[/tex]

Step-by-step explanation:

Given the sequence

12a, 15a, 18a, 21a, 24a,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 12a, d = 3a

[tex]a_n=12a+\left(n-1\right)3a[/tex]

     [tex]=12a+3na-3a[/tex]

     [tex]=3na+9a[/tex]

Therefore, the general rule for the nth term of this sequence will be:

[tex]a_n=3na+9a[/tex]

18 ≤ -2x = what?? please answer im in class

Answers

Answer:

-9

Step-by-step explanation:

F(x)=3x^2-10x+4, find f(-4)

Answers

Answer:

substitute -4 for x

Step-by-step explanation:

A function assigns the value of each element of one set to the other specific element of another set. The value of the function when the value of x is -4 is 92.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that F(x)=3x²-10x+4, therefore, the value of the function can be calculated by substituting the value of x as -4.

Therefore, the value of the function when the value of x is -4  can be calculated as shown below,

F(x) = 3x² - 10x + 4

F(-4) = 3(-4)² - 10(-4) + 4

        = 3(16)  + 40 + 4

        = 48 + 40 + 4

        = 92

Hence, the value of the function when the value of x is -4 is 92.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

Store A sells a watch for $50 and offers a 5% discount Store B sells the same watch for $60 and offers a 20% discount. From which store should you buy your
watch and why? Help please!!

Answers

Answer:

You should buy the watch from Store A because it's cheaper

Step-by-step explanation:

Store A sells a watch for $50 with a 5% discount.

Let's calculate the sale price. The 5% discount is

5/100*$50 = $2.50

The sale price is $50 - $2.50 = $47.50

Now for Store B. The price of the watch was $60 with a 20% discount.

Calculate 20% of $60:

20/100*$60 = $12

The sale price is $60 - $12 = $48

Thus, you should buy the watch from Store A because it's cheaper

Page
Date
#
Solve sauare completing method
2x^2-9x-5 =0​

Answers

Answer:

The roots are 5 and −12

Step-by-step explanation:

Hope this helped have an amazing day!

In a remote village, a person used five beaver pelts

Answers

Answer:

what're we supposed to do?

Step-by-step explanation:

Find the value of y so that the distance between the points (4.7 and 0.6) is equal to 5​

Answers

Answer:

you now if you wont to find the value you can type distance calculator and see the points

Step-by-step explanation:

Which is the correct label of the line?

points C and D lie on line a

(4 points)

Select one:
a. There is a horizontal line with arrows on either end over the letters A C.
b. There is a horizontal line with arrows on either end over the letters CD.
c. D
d. Two vertical lines beside the letter A

Answers

Answer:

b horizontal with arrows and c and d

Answer: CD

Step-by-step explanation: I took the test.

8/10/2022

Find the slope of the line.
(6, 10)
3
(a, 8)
(4, b)
(2, 2)

Answers

Answer:161500

Step-by-step explanation:that's your  answer

A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent pls do it step by step​

Answers

Answer:

33.3%

Step-by-step explanation:

To get the gain percent, first we need to calculate the unit selling price and cost of each cosmetics.

If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then one cosmetic will cost 360/12 = Rs. 30

Also if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40

Selling price = Rs. 40

Cost price = Rs. 30

% gain = SP-CP/CP * 100%

% gain = 40-30/30 * 100

% gain = 10/30 * 100

% gain = 100/3

% gain = 33.3%

Hence the percentage gain is 33.3%

Answer:

its ok! I accept apologies

Step-by-step explanation:

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