An arithmetic series in sigma notation is shown. What is the sum of the first 14 terms of the series

An Arithmetic Series In Sigma Notation Is Shown. What Is The Sum Of The First 14 Terms Of The Series

Answers

Answer 1

Answer:

-298

Step-by-step explanation:

Given the relation above :

n = 1 through 14

For n = 1

22 - 6(1)

n = 2

22- 6(2)....

Hence, sun of first 14 terms :

(22 - 6*1) + (22 + 6*2) + (22 - 6*3) + (22 - 6*4) + (22 - 6*5) + (22 - 6*6) + (22 - 6*7) + (22 - 6*8) + (22 - 6*9) + (22 - 6*10) + (22 - 6*11) + (22 - 6*12) + (22 - 6*13) + (22 - 6*14)

= - 298


Related Questions

1) Mr. Turnage spent $800 on a new computer. He used his debit card to
make this purchase. In his bank account he had $783. What will his bank
account balance show after making this purchase?

Answers

Answer:

-62, because he didn't have enough of his money since he was using debit.

Help me asp 25 points and will mark

Answers

Answer:

Slope = - 2

Step-by-step explanation:

Given equation is,

y= - 2x

If x=1, y= -2.

If x=2, y= - 4

Take such few points and plot the graph (1, - 2), (2, - 4)........

Draw a straight line through the points.

For slope, compare the equation with slope intercept form, y=mx + c

Here, c=0 and m=-2

Hope this helps!!

A truck can be rented from Company A for ​$150 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

140 miles

Step-by-step explanation:

Let

Number of miles = m

Total cost = fixed cost + variable cost

Company A = ​$150 + $0.40m

Company B = ​$80 + $0.90m

Equate company A and company B equation

Company A = Company B

​$150 + $0.40m = ​$80 + $0.90m

Collect like terms

150 - 80 = 0.90m - 0.40m

70 = 0.50m

m = 70 / 0.50

= 140

m = 140 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

The cost C , in £, of a monthly phone contract is made up of the fixed line rental L , in £, and the price P , in £ ,of the calls made. Enter a formula for the cost and, enter the cost if the line rental is £10 and the price of calls made is £28.

Answers

Answer:

C = L + P

C = £38

Step-by-step explanation:

Given that :

Cost (C) is given by :

Sum of fixed line rental (L) ; price (P) of calls made.

Hence,

Cost formula;

C = L + P

Cost if the line rental is £10 and the price of calls made is £28.

C = L + P

If L = £10 ; P = £28

C = £10 + £28

C = £38

These are two separate questions by the way :)

1. 2v +8 < 3y + 1

2. - 7m - 16 >= - 2(7 + 3n) - 2

Answers

Answer:

1. [tex]v<\frac{3y-7}{2}[/tex]

2. [tex]m\leq \frac{6n}{7}[/tex]

Step-by-step explanation:

1. [tex]2v+8-8<3y+1-8[/tex]

[tex]2v<3y-7[/tex]

[tex]\frac{2v}{2} <\frac{3y}{2} -\frac{7}{2}[/tex]

[tex]v<\frac{3y-7}{2}[/tex]

2. [tex]-7m-16+16\geq -2(7+3n)-2+16\\[/tex]

[tex]-7m\geq -6n\\[/tex]

[tex]7m\geq 6n\\[/tex]

[tex]\frac{7m}{7} \leq \frac{6n}{7}[/tex]

[tex]m\leq \frac{6n}{7}[/tex]

At their annual car wash, the science club washed 30 cars in 45 minutes. At this rate, how many cars will they wash in 1 hour? A- 40, B-45, C-50, D-60

Answers

Answer:

The answer is A 40 cars

Step-by-step explanation:

We can see by dividing 30 by 45 you get 0.66667 repeating. If you then multiply 0.66667 by 60 (There are 60 minutes in an hour) You get 40.02. This rounds down to 40. Please mark me brainliest, and have a tremendous day!

Help help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

10

Step-by-step explanation:

4 x 1 / 2

Reduce the numbers with the greatest common factor 2

5 x 2 = 10

WILL MARK BRAINIEST!!! HAS TO BE CORECT!!!
A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoes. Which proportion represents the situation?
StartFraction 3 over 1 EndFraction = StartFraction 2 over 6 EndFraction
StartFraction 3 over 6 EndFraction = StartFraction 2 over 1 EndFraction
One-third = StartFraction 6 over 2 EndFraction
One-third = StartFraction 2 over 6 EndFraction

Answers

Answer:

here the answer! There is the  proof it's right. :)

Step-by-step explanation:

Answer:

1/3 = 2/6

Step-by-step explanation

Edu correct

Brainlest:
10 1/2 divided by 3/8 = 12/2 times 8/3= 9/6 is this ture?

Answers

Answer:

No, i dont think so

Step-by-step explanation:

10 1/2 divided by 3/8:

KCF (keep, change the sign, flip the fraction)

·21/2×8/3=168/6

168/6=28

12/2×8/3=16

therefore they are not equal so it is not true

Hope this helped ;)

Answer:

well lets solve this:

10 1/2-->21/10

21/10 dvided by 3/8-------> to divide fractions we do this: 10/21 x 3/8 (swap the denom and num of the firs fraction then multiply by the sec)

10/21x3/8=30/168 = 3/56

12/2 x 8/3 = 6x 8/3= 6/1x8/3=48/3

48/3 simplified is 16/1 =16

3/56x16/1 = 48/56

48/56=24/28=12/14=6/7

Step-by-step explanation:

Therfore this is false

-hope this helps

Triangle ABC has a perimeter of 22cm.
AB=8cm
BC=5cm
By calculation deduce, whether triangle ABC is a right angled triangle

Answers

Answer:

Step-by-step explanation:

perimeter=22

AB+BC+AC=22

8+5+AC=22

AC=22-13

AC=9

Apply the Pythagorean theorem:

AB²+AB²=AC²

8²+5²=64+25=89

AC²=9²=81

no it is not a right triangle because it failed the Pythagorean theorem

Whats the domain and range

Answers

Answer:

d= all the x values

r=all the y values

Step-by-step explanation:


When making bread from scratch, the recipe calls for
3/4
cup of water. If you need to make a smaller

portion of the recipe, how much water would you need in order to make only 1/6 of the recipe?
Give your answer as a fraction, reduced to lowest terms

Answers

Answer:

1/8 of a cup.

Step-by-step explanation:

That would be 1/6 of 3/4

= 1/6 * 3/4

= 1*3 / (6*4)

= 3/24

= 1/8.

Graph the inequality
b-2>-9

Answers

Answer:

b>-7

Step-by-step explanation:

put an empty circle above -7

Then draw a line from the start of the circle to the right

Hope I helped! :)

(3,4) and (9,2) find slope

Answers

Answer:

m = -1/3

Step-by-step explanation:

m= rise over run

2-4                1

____    =   -  __

9-3                3

Answer:

-1/3  is the slope

Step-by-step explanation:

I attached an image below to show you how i did this. I hope this helps :)

Please answer correctly !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The branch of medicine dealing with the ear, nose, and throat. Also known as otolaryngology. ETYMOLOGY: ... Either that, or it's from Greek oto- (ear) + rhino- (nose) + laryngo- (larynx) + -logy (study).

Step-by-step explanation:

Answer:

I think to find the answer you would have to subtract the KL area from 75 and you might need to set up a proportion.

Have fun!

Solve for missing angle

Answers

Answer:

so the exterior angle 152 is made from the interior angle being subtracted from 180. we can also subtract 152 from 180 to find the interior angle. 180-152=28  the inside of a triangle is a total of 180 degrees so 110+28=138 180-138=42 degrees. 42 degrees is the final interior angle and the missing and the missing exterior angle is congruent to the 42 degree angle. So the missing exterior angle is 42 degrees

Step-by-step explanation:

The picture attached has work and the answer! :)

HELP WILL GIVE CROWN!!!!!

Answers

Answer:

d

Step-by-step explanation:

i know this question cause i got a A +on the test dont worry

Answer:

C. 9.6×10^7 km

Step-by-step explanation:

Given the distance

9.6×10^10 m

Converted into km, considering 1 m = 10^-3 km:

9.6×10^10 × 10^-3 km = 9.6×10^(10 -3) km = 9.6×10^7 km

Correct option is C

what is the factor form of 2x^2- 7x -15​

Answers

Answer:

(2x - 7)

Step-by-step explanation:


The local furniture store pays $300 for a dining room table and sells it with a 40% markup.
What is the selling price of the dining room table?

Answers

Answer:

$420

Step-by-step explanation:

The wholesale price is $300 and the markup is 40% of that, or

0.40($300) = $120

and so the selling price is $300 + $120 = $420

An easier way to calculate this is to multiply $300 by (1.00 + 0.40), or (1.40), which again comes out to $420.

Answer:

$420!

Step-by-step explanation:

TV Cabinet TV screens are measured on the diagonal. If we have a TV-cabinet that is 72 inches long and 64 inches high, how large a TV could we put in the space (leave 2-inches on all sides for the edging of the TV)? Round your answer to the nearest tenth.

Answers

Answer:

94in

Step-by-step explanation:

We are expected to solve for the diagonal of a rectangular shape.

given that the length, l=72in

width, w=64in

we can apply the Pythagoras theorem to solve for the diagonal since it corresponds to the hypotenuse of the rectangle

note: we are to leave 2-inches on all sides for the edging of the TV

l=72-2= 70 in

w=64-2=62

diag=√l^2+w^2

diag=√70^2+62^2

diag=√4900+3844

diag=√8744

diag=93.50 in

to the nearest tenth, it is 94in

What is the elevation of Tammys house

Answers

Answer: 38

Step-by-step explanation: quite simple if you do the math 24 + 14 you get 38 which we can conclude as the angle of his house

Sydney and her friend are having a party. Sydney bakes two pies and stephanie brings two or more. Then, they cut each pie into 6 pieces. How many pieces of pie will they have for the party?

Answers

Answer:

24 pieces

Step-by-step explanation:

Sydney bakes two pies, stephanie brings two more.

Together we have a total of four pies

each pie is cut into 6 pieces, meaning you should multiply the amount of times they cut it by the number of pies.

6 x 4 = 24

you decide to drive 75 miles to orlando for the weekend. if you drove at an average speed of 65 mph, the trip would take about ___ minutes. (*round to the nearest minute*)​

Answers

Answer:69 mins

Step-by-step explanation:

Well 1 hour 9 mins and 14 sec

Solve for h in the mathematical formula V=pi r^(2)h

Answers

Answer:

[tex]\frac{V}{\pi r^{2} }[/tex] = h

Step-by-step explanation:

Lets try and get everything we can away from h.

V = [tex]\pi[/tex][tex]r^{2} h[/tex]

Divide [tex]\pi[/tex][tex]r^{2}[/tex] from both sides of the equation.

Now we end up with:

[tex]\frac{V}{\pi r^{2} }[/tex] = h

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

it is C

Step-by-step explanation:

it is c because all of the other answers are stated in the article, and a opinion is something you think

Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)

Answers

Answer:

-16n-41

Step-by-step explanation:


Question 5
Measure the lengths of the sides of ABC. Then measure the lengths of the sides of A'B'C' when A'B'C' coincides with the other three
triangles. Record the measurements in the table.

Answers

Answer:

Step-by-step explanation:

Answer:

Length   Length   Length   Length

1.41  1.41  1.41  1.41

2.24  2.24  2.24  2.24

3  3  3  3

Step-by-step explanation:

.

YOUR TURN
3. Fifteen bicycles are produced each hour at the
Speedy Bike Works. Show that the relationship
between the number of bikes produced and the
number of hours is a proportional relationship.
Then write an equation for the relationship.

Answers

Answer:

The equation is: y = 15·x

Step-by-step explanation:

It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.

Consider the table below.

                    Number of Hours:       1          3          6          10

Number of Bicycles Produced:      15        45        90       150

Compute the ratio of number of bicycles produced and number of hours for every data above as follows:

[tex]\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1[/tex]

The ratio of the number of bicycles produced and number of hours is same for every data value.

Thus, the relationship between the number of bicycles produced and number of hours is proportional.

The equation for the relationship is:

y = 15·x

y = number of bicycles produced

x = number of hours

How do I simplify the cube root of 875

Answers

Answer:

Step-by-step explanation:        divide by 5

         5   |875

           5 |175

           5 |35

          5    |7

5/5=0

Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had 606060 megabytes on it before the transfer, and an additional 444 megabytes were transferred onto it each second.
Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).

Answers

( ITV you got to the u
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