what is the sum of the finite arithmetic series ? 7.6+6.3+5+3.7+2.4+1.1+(-0.2)+(-1.5)

Answers

Answer 1

24.4 is the sum of the finite arithmetic series.

Good luck :)

Answer 2

[tex]\text{Consider the sum of the finite arithmatic series}\\ \\ 7.6+6.3+5+3.7+2.4+1.1+(-0.2)+(-1.5)\\ \\ \text{We know that the sum of the finite arithmatic series }\\ \\ a_1,a_2, a_3, ..., a_n \text{ is given by the formula}\\ \\ S_n=\frac{n}{2}\left ( a_1+a_n \right )\\ \\ \text{here in the given series, we can see that }a_1=7.6, \ a_n=-1.5 \text{ and}\\ \text{the number of terms is, }n=8. \text{ so using above formula, we get}[/tex]

[tex]S_8=\frac{8}{2}\left ( 7.6+(-1.5) \right )\\ \\ =4\left ( 7.6-1.5 \right )\\ \\ =4\left ( 6.1 \right )\\ \\ =24.4[/tex]

Hence the sum of the finite Arithmetic series is: 24.4

Related Questions

Use the formula SA=6s2 , where SA is the surface area and s is the edge length of the cube, to solve this problem. Eliz must cover a cube-shaped box with giftwrap. The edge length of the box is 6 1/2 inches. What is the surface area of the box?

Answers

This it's my answer with the formula I used shown. Hope this helps. God bless

351.68 rounded to the nearest hundredth?

Answers

351.60 would be the answer

Hi there!

351.68 is already rounded to the nearest hundredth. The digit in the hundreds place is 8.

Hope this helps! Tell me if you meant something else ;)

A point undergoes two transformations. The x-coordinate's sign changes and the y-coordinate increases. What were the transformations?

The point was reflected over the y-axis and translated down.
The point was reflected over the x-axis and translated to the right.
The point was reflected over the y-axis and translated up.
The point was reflected over the x-axis and translated to the left.

Answers

The answer is that the point was reflected over the y-axis and translated up.

Answer:

Step-by-step explanation:

Web flixs charges $25 and $2 for each movie family video charges $10 plus $2.50 for each movie find the number of movie rental for both stores charge are the same

Answers

The number of movie rentals would be 30
To find the answer you have to do this
(M stands for movies)
$25 + 2m = $10 + 2.50m
-10 -2m -10 -2
$15 = .50m
Divide .50/15
You get 30
Check your answer $25 + 2(30) = $10 + 2.50(30)
$25 + $60 = $10 + $75
$85 = $85

Final answer:

The number of movie rentals for which Web Flixs and Family Video charge the same is 30.

Explanation:

To find the number of movie rentals for which Web Flixs and Family Video charge the same, we need to set up an equation and solve for the number of movies. Let's denote the number of movie rentals as 'x'.

For Web Flixs, the cost is $25 + $2 per movie, so the total cost can be expressed as 25 + 2x.

For Family Video, the cost is $10 + $2.50 per movie, so the total cost can be expressed as 10 + 2.50x.

To find the number of movie rentals for which the costs are the same, we set up the equation: 25 + 2x = 10 + 2.50x.

By rearranging the equation and solving for 'x', we can find the number of movie rentals:

25 - 10 = 2.50x - 2x

15 = 0.50x

x = 30

Therefore, when the number of movie rentals is 30, the charges at both Web Flixs and Family Video will be the same.

Please help

The profits for a large international bank were $2 934 569 000.

What is the scientific notation form of the profit figure? (Round the base/root to 1 decimal point.)

Answers

The scientific notations is 2.9x10^9

The scientific form is 2.9 * 10^9

BRAINLIEST FOR THE FIRST RIGHT ANSWER

Instructions: Select the correct answer.

Audrey has a box that contains one caramel chocolate (C), one milk chocolate (M), one dark chocolate (D), and one white chocolate (W). She picks one chocolate and eats it. Then she picks another chocolate and eats it. What is the sample space of the event?

A. {M-D, M-W, M-C, D-W, D-C, W-C}

B. {M-D, M-W, M-C, D-M, D-C, D-W, W-M, W-C, W-D, C-M, C-D, C-W}

C. {M-D, M-W, M-M, D-M, D-C, D-D, W-M, W-W, W-D, C-M, C-D, C-C}

D. {M-D, M-W, M-C, M-M, D-M, D-C, D-W, D-D, W-M, W-C, W-D, W-W, C-M, C-D, C-W, C-C}

Answers

the answer would be B

since there is only 1 flavor of each there would be 3 combinations containing each flavor

Hey there! :D

So, I know this can be confusing, but basically, it is just asking for all the possibilities of chocolates Audrey could've chosen. There are 4 choices.

C, M, D, and W.

You have 4 choices for the first pick.

You have 4 choices for the second.

4*4= 16

Which choice has 16 options?

"D" has 16 options. It is the correct sample space.

I hope this helps!
~kaikers

find the equation of the line given two points. (2,1), (5,2). y=?

example answer: (4,0), (5,2). y=2x-8

please help. ive been on this problem for almost an hour now

Answers

Answer: [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]
Note: the slope is 1/3 and the y intercept is 1/3

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

Explanation:

First we need the slope of the line through the two points. Use the slope formula

m = (y2 - y1)/(x2 - x1)
m = (2-1)/(5-2)
m = 1/3

The slope is m = 1/3

Use this slope, along with one of the points. I'll use the point (x,y) = (2,1). Plug these three values into the equation y = mx+b and then solve for b

y = mx+b
1 = (1/3)(2)+b
1 = 2/3+b
1-2/3 = 2/3+b-2/3
1 - 2/3 = b
b = 1 - 2/3
b = 3/3 - 2/3
b = 1/3

So the slope and y intercept are
m = 1/3
b = 1/3

Therefore the equation is [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]

Find an angle at home. Measure the angle. Record the measure. Classify the angle.

Answers

A table leg. It is 90 degrees from the floor. It is a right angle

the sum of two numbers is 83. The difference of the 2 numbers is 13. What is the product of the two numbers?

Answers

83-13=70 divide by 2 =35+13=48= 35x48=1680

The product of the two numbers whose sum and difference is 83 and 13 respectively is 1680.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that the sum of two numbers is 83 and the difference of these two numbers is 13.

Assume that the numbers are [x] and [y] respectively. Then -

x + y = 83 ...[1]

and

x - y = 13

x = 13 + y

Substitute (x = 13 + y) in Equation [1], we get -

13 + y + y = 83

2y = 70

y = 35

Therefore, [x] will be equivalent to -

x = 13 + 35

x = 48

Now, the product of [x] and [y] will be -

xy = 35 x 48 = 1680

Therefore, the product of the two numbers whose sum and difference is 83 and 13 respectively is 1680.

To solve more questions on Operations with numbers, visit the link below-

brainly.com/question/19920686

#SPJ2

Please could someone help with this one . Thanks I will brainlist

Answers

The answer to this is the third option choice: Reaches a maximum height of 549 after 5.75 seconds.

The answer is c I hope you get is right !

Mike owns two hardware stores. The scatterplots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?

A) Store #1

B) Store #2
C) The stores bring in the same amount of sales.
D) This cannot be determined from the scatterplots.

Answers

Your answer is D. This cannot be determined from the scatter plots.

The revenue from store1 is more. The correct option is A.

What is a scatter plot?

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

As per the given Scatter plot the revenue for a store can be calculated by adding the revenue collected by the shop from each particular product.

And to calculate the revenue collected by the store from each particular product, multiplying the cost of a single item to its corresponding price.

Therefore, the revenue from each of the store are:

The revenue collection for store1 is $35,100.

The revenue collection for store2 is $29,800.

Since 35,100>29,800, therefore, the revenue from store1 is more.

Learn more about Scatter Plot:

https://brainly.com/question/13984412

#SPJ3

The complete question is:

Mike owns two hardware stores. The scatterplots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?

A) Store #1

B) Store #2

C) The stores bring in the same amount of sales.

D) This cannot be determined from the scatterplots.

The Scatterplot for the two stores are mentioned in the images.

which one of the following tables is a relation that represents a function?

Answers

c is the correct answer homie

Answer:
Table 3

Explanation:
For a relation to be a function, each x value should have only one corresponding y value.

Now, let's check the givens:
Table 1:
x = 1 has two corresponding y-values. Therefore, this is not a function

Table 2:
x = 10 has two corresponding y-values. Therefore, this is not a function.

Table 3:
each x value has only one corresponding y-value. Therefore, this one is a function

Table 4:
x = 7 has two corresponding y-values. Therefore, this is not a function.

Hope this helps :)

Sam typed 420 words in 10 minutes if he continues to type at his rate how many words will he have typed in 3 hours
A. 756
B.1,260
C.2,520
D.7,560

Answers

Solution-

420/10= 42

42 words per min

42*180= 7560

Answer-
At this rate Sam will be able to type 7,560 words in 3 hours.

Final answer:

Sam can type 7,560 words in 3 hours if he continues typing at the same speed that is 420 words in 10 minutes.

Explanation:

The problem is asking to find out how many words Sam can type in 3 hours if he continues at the rate of typing 420 words in 10 minutes. First, we need to convert 3 hours to minutes since the typing speed is given in terms of minutes. There are 60 minutes in an hour, so 3 hours equals 180 minutes. Typing speed is calculated by dividing the total number of words by the total time. In this case, Sam's typing speed is 420 words / 10 minutes = 42 words per minute. Considering his typing speed, in 180 minutes (3 hours), he should be able to type 42 words per minute * 180 minutes = 7560 words. Therefore, the correct answer is D.7,560.

Learn more about Typing Speed here:

https://brainly.com/question/32814651

#SPJ2

if someone could help me, it’d be great!

Answers

ABC has
A as the first letter
B as the second letter
C as the third letter
The order is important

Similarly with EFG we hae
E as the first letter
F as the second letter
G as the third letter
The order is also important

Based on the orderings, we can say
A corresponds to E
B corresponds to F
C corresponds to G

Which means
A rotates to E
B rotates to F
C rotates to G

The final answer is choice C) Angle C
since we're looking for the angle that rotates or maps to angle G

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. For each salesman, write an equation showing the relationship between their weekly paycheck amount, p, and the number of sales, s, they had that week. Graph the three equations you just wrote for each salesman if they have between 0 and 20 sales in a week. Graph all three equations on the same graph . Make sure you label each line with the salesman it represents, as well as label the axes. Note: The independent variable is s, and the dependent variable is p.

Answers

GIVEN:
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.

Salesman A: 1300 ≤ 65S
Salesman B: P = 40S + 300
Salesman C: P = 900

Salesman A can only have 20 sales. 1,300/65 = 20. It should not go beyond that because it will go beyond the limit of 1,300 per week.

Salesman B will earn 1,100 for 20 sales. P = 40(20) + 300 = 800 + 300 = 1,100.

Salesman C will earn 900 regardless if he had 0 or 20 sales for the week.

You can do your own graph using my equations.

Please help me, thanks.

Answers

1. Commutative Property of Addition.a + b = b + a

Examples:

1. real numbers

2 + 3 = 3 + 2

2. algebraic expressions

x 2 + x = x + x 2

2. Commutative Property of Multiplication.a * b = b * a

Examples:

1. real numbers

5 * 7 = 7 * 5

2. algebraic expressions

(x 3 - 2) * x = x * (x 3 - 2)

3. Associative Property of Addition.(a + b) + c = a + (b + c)

Examples:

1. real numbers

(2 + 3) + 6 = 2 + (3 + 6)

2. algebraic expressions

(x 3 + 2 x) + x = x 3 + (2 x + x)

4. Associative Property of Multiplication.(a * b) * c = a * (b * c)

Examples:

1. real numbers

(7 * 3) * 10 = 7 * (3 * 10)

2. algebraic expressions

(x 2 * 5 x) * x = x 2 * (5 x * x)

5. Distributive Properties of Addition Over Multiplication.a * (b + c) = a * b + a * c
and
(a + b) * c = a * c + b * c

Examples:

1. real numbers

2 * (2 + 8) = 2 * 2 + 2 * 8

(2 + 8) * 10 = 2 * 10 + 8 * 10

2. algebraic expressions

x * (x 4 + x) = x * x 4 + x * x

(x 4 + x) x 2 = x 4 * x 2 + x * x 2

6. The reciprocal of a non zero real number a is 1/a.and a*(1/a) = 1

Examples:

1. real numbers

reciprocal of 5 is 1/5 and 5*(1/5) = 1

7. The additive inverse of a is -a.a + (- a) = 0

Examples:

additive inverse of -6 is -(-6) = 6 and - 6 + (6) = 0

8. The additive identity is 0. and a + 0 = 0 + a = a

9. The multiplicative identity is 1.and a * 1 = 1 * a = a

Rewrite the following equation in slope-intercept form. 17x + 15y = 5 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:
y = [tex] \frac{-17}{15} x[/tex] + [tex] \frac{1}{3} [/tex]

Explanation:
The slope-intercept form of the equation has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
17x + 15y = 5

To put it in the slope-intercept formula, we should isolate the y as follows:
17x + 15y = 5
15y = -17x + 5
y = (-17/15) x + (5/15)
y = [tex] \frac{-17}{15} x[/tex] + [tex] \frac{1}{3} [/tex]
where:
m is the slope = -17/15
c is the y-intercept = 1/3

Hope this helps :)

Final answer:

Slope-intercept form of the equation 17x + 15y = 5 is y = (-17/15)x + 1/3, with a slope of -17/15 and a y-intercept of 1/3.

Explanation:

To rewrite the equation 17x + 15y = 5 in slope-intercept form, which is y = mx + b where m is the slope and b is the y-intercept, follow these steps:

Subtract 17x from both sides of the equation: 15y = -17x + 5.Divide both sides of the equation by 15 to solve for y: y = (-17/15)x + 5/15.Simplify the fractions to get the final form: y = (-17/15)x + 1/3.

Here, the slope (m) of the line is -17/15, and the y-intercept (b) is 1/3.

which benchmark fraction could you use to estimate the prodict of 36 x 11/16

Answers

we know that
benchmark fractions are commonly used for estimation.
[1/2 1/3 1/4 3/4 2/3]------------> are all benchmark fractions

we have that
36 x 11/16
11/16 is about 12/16 which is 3/4

the answer is 3/4

what is the anwser to x^2-9x-22=

Answers

it = 0 ok if this is helps just tell me

Lavonne sold 4 times as many raffle tickets than Kenneth. Lavonne sold 56 raffle tickets. Write and solve an equation to find out how many tickets Kenneth sold.

PLEASE!!!!!! A+

Answers

14 tickets.

Hope this helped

take 56/4 and that equals 14.

56/4=14

then plug it in and you get 14 times 4 = 56

Which quadrants have an abscissa and ordinate that has the same sign?

A. Quadrants I and II

B. Quadrant II and IV

C. Quadrants I and III

Answers

The answer would be C. Quadrants I and III!

C for sure it would make the most sense

what is the area of this shape

Answers

A = (14)(18) + 1/2(18)(13)
A = 252 + 117
A = 369

answer
369 m^2

hope it helps

The distance from Caleb's house to the school is 1.5 miles, and the distance from Ashley's house to the school is 3520 feet. Who lives closer to the school, Caleb or Ashley? Use numbers and words to support your answer.

Answers

Hi there!

To solve this problem, first we need to convert everything into feet.

1.5 mi = 7920 ft

Since
7920 is greater than 3520,

Ashley lives closer to the school.

Hope this helps!

Quadrilateral ABCD is inscribed in this circle.

What is the measure of angle B?

Enter your answer in the box.

m∠B=
°

Answers

Hello,

When you have an inscribed quadrilateral, the opposite sides are supplementary.

So you can write and solve the following equation.
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23

Now, plug in 23 for X and we will find the measurement of B.
6(23) + 19
138 + 19
157

The measure of angle B is 157 degrees. (The picture is not drawn to scale)

Good luck,
MrEQ

On Monday it snowed 9 inches. The next day it snowed 1/2 that amount. How much did it snow on the second day?

Answers

it probably snowed 4.5 inches

help meeeeeeeeeeeeeeeeeeeeee

Answers

2y = -4
Y= -2

X= -4

Don’t even thank :))

x + 2y = -4
For this case what you should do is see the intersections with each of the axes and then join the ordered pairs.
We have then:
For the x axis:
y = 0
Substituting in the equation:
x + 2 (0) = - 4
x + 0 = -4
x = -4
For the y axis:
x = 0
Substituting in the equation:
x + 2y = -4
0 + 2y = -4
y = -4 / 2
y = -2
We graph the ordered pairs:
(x1, y1) = (- 4, 0)
(x2, y2) = (0, -2)
Answer:
See attached graph.

There are 64 teams in the march madness basketball tournament. By the time it is finished how many total number of games will have been played?

Leave the steps on how to solve in your answer please and thank you

Answers

if there is 64 teams and 1 on 1 games are played, there will be 16 games played, 64/2=32, 32/2=16

The area of a square garden is 50 m². How long is the diagonal? 100 m mc028-1.jpg m 25 m 10 m

Answers

a=s^2 50=S^2 s= sqrt50 s=7.071 ms a^2+a^2=c^2 50+50=c^2 100=c^2 c= sqrt100 c=10ms So the answer would be 10 hope this helped

Answer:

Option D, 10m

Step-by-step explanation:

The area of a square garden is 50 m²

We have to find the diagonal of the square garden by Pythagoras theorem.

Since ( diagonal )² = 2(side)²

( diagonal )² = 2 × area

= 2 × 50 = 100 m²

diagonal = √100

= 10 meter

Option D., 10m is the answer.

△ABC has interior angles with measures x°, 90°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the given information, which statement is true?
a The triangles are similar because they each have an interior angle with a measure 70°.

b The two triangles are not similar because the interior angles are congruent but
the side lengths are different.

c The two triangles are similar because y=90 .

d The two triangles are not similar because x≠y .

Answers

the letter answer is c

Answer:

Step-by-step explanation:

i took the test

Factor the expression 28r + 42s -35

Answers

First, find the GCF of 28, 42, and -35. When we use the ladder technique, we have: GCF(28, 42, -35) = 7. We know 7 * 4 is 28, 7 * 6 is 42, 7 * -5 is -35. So, we have the following result:
7(4r + 6r - 5)
We can't factor anymore.

Answer:

7(4r + 6r - 5)

Step-by-step explanation:

Other Questions

All veins return blood to the heart. all veins return blood to the heart. a. True b. False 3.Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet and the spot on the ground directly beneath the kite.(a)Draw a diagram showing Janet and the kite.(b)What is the length of the string of the kite?Answer: Oprah Winfrey is known for her talk show as well as her ____ Comparing the two excerpts above, what are some differences you notice in tone and formality? Why might these differences exist? Which guarani word is used to compliment a meal?A. heterei B. tranquilopa C. joparaD. ahata ayo@leonardo0430 solve - 2 x 3 + 22 - 8 - 2 =in a exponent 3 + 3 + 3 + 3 + 3 A patient from which nation might consider eye contact disrespectfulA. Canada B. JapanC. New ZealandD. Brazil Which transformations are rotations?Choose all answers that are correct. Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father? what is x in the equation 4(x+6)= 5(x+9)+4x? Scenario:Country SC hopes to create change in its technology industry.To influence the industry, the government implements a new fiscal policy by lowering the corporate tax rate.What are the most likely effects of this policy? Check all that apply.Businesses will likely pay workers less.Businesses will likely hire more workers.Businesses will likely earn higher profits.Businesses will likely invest less in the economy.Businesses will likely invest more in the economy. (1) Water is something most of us take for granted. (2) If we need a cold drink or want to take a shower, water is there. (3) If we want to water our yards or wash the dishes, water is there. (4) For many parts of the world, however, this is not true. (5) Water is not everywhere it's miles away. (6) To get water involves a long walk to and from the source. (7) Traditionally it is the job of women and children to spend their days searching for water. (8) Then, they gather it to bring back to their homes. (9) Sadly, even after that water is found, only some of its clean and safe enough to drink. (10) A number of groups across the globe have spent decades helping people get better access to water. (11) One such organization is called water.org (12) It was started in 2009 by actor Matt Damon and Gary White, the co-founder of Water partners. (13) What have they accomplished so far Describing What was the geographic relationship between Soviet satellite nations and the Iron Curtain? Odysseus's glimmer of pride when he loses his temper at the Phaeacian athletic games can be considered as foreshadowing which event?A) Odysseus's encounter with the PolyphemusB) Odysseus's encounter with the SirensC) Odysseus's encounter with TiresiasD) Odysseus's encounter with Scylla How do you do this obe An inclined plane of angle has a spring of force constant k fastened securely at the bottom so that the spring is parallel to the surface. A block of mass m is placed on the plane at a distance d from the spring. From this position, the block is projected downward toward the spring with speed v as shown in the figure below. By what distance is the spring compressed when the block momentarily comes to rest? (Use any variable or symbol stated above along with the following as necessary: g, the acceleration due to gravity.) Data gathered from trade journals, the census bureau, and specialized research firms is considered to be _____ data. Bone with insufficient or abnormal collagen would _____ compared with healthy bone. (select all that apply.) Portraits are to daily faces As an evening west To a fine, pedantic sunshine In a satin vest. What two things are being compared in this poem? HELLLPP PLLZZZ III BEEEGGG UUUUFor what value of x:is the square of the binomial x+1 twenty greater than the square of the binomial x3?