Find the sum of the arithmetic series given a1=8,a14=99,n=14.

Answers

Answer 1

Answer:

The sum of the series is: 749

Step-by-step explanation:

Given

[tex]a_1 = 8[/tex]

[tex]a_{14} = 99[/tex]

[tex]n = 14[/tex]

Required

The sum of the series

This is calculated using:

[tex]S_n = \frac{n}{2}[a_1 + a_n][/tex]

Substitute 14 for n

[tex]S_{14} = \frac{14}{2}[a_1 + a_{14}][/tex]

[tex]S_{14} = 7[a_1 + a_{14}][/tex]

Substitute values for a1 and a14

[tex]S_{14} = 7[8 + 99][/tex]

[tex]S_{14} = 7*107[/tex]

[tex]S_{14} = 749[/tex]


Related Questions

Co...
1.2 m
2.5 m
3.5 m
The front of a house needs to be painted black. The garage door is 1.5 m high and 2 m wide.
A) How many square meters of black paint will be needed to paint the house not including the
garage door?
Show your work

Answers

Answer:

16

Step-by-step explanation:

Multiplecation by the length width, and the height, then divide and its 16.


find the number of terms in the series for the series given below.

Answers

C . bc its the right answer :)

Jerry has $90 in his savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will he earn in 3 years

Answers

Answer:

27 cents

Step-by-step explanation:

10% of 90= 9

9x3=27

Answer:

p x t x r / 100

90 x 10 x 3 / 100

=27

The new number 200 is 400 less than the original number what is the approximate per percent change

Answers

Answer:

200+400=600

400/600=2/3=66.6%

Help ASAP I’ll mark branliest

Answers

Answer:

C - 129

Step-by-step explanation:

180-51=129

Find the slope of the line parallel to the line graphed.
My Answer:

Answers

i believe the answer is 2

Helppppppppppp!!!!! Please

Answers

Answer:

The answer is C.

Step-by-step explanation:

angle 5 and 4 makes a line which is 180 and since angle 5 equals 57 , 180-57=123.

Two trains leave New York at the same time. One travels south 50 miles per hour and the other traveled east at 40 miles per hour. How far apart are they at the end of THREE HOURS?

Answers

Answer:

192 miles

Step-by-step explanation:

This is a right triangle problem

One leg of the triangle is

50 * 3 = 150

The other leg is

40 * 3 = 120

the distance is the hypotenuse

c^2 = 150^2 + 120^2

c^2 = 22500 + 14400

c^2 = 36900

Take the square root of both sides

c = 192.093727123

c ≈ 192 miles

Answer:

30 miles apart

Step-by-step explanation:

Im not sure if this is the corect answer to this but this is what i think what i did was get 50 x 3 and 40 x 3 since they starded at the same times and finished after 3 hours so multiply your numbers by 3 so...

50 x 3=150

40 x 3=120

150-120=30 miles apart

find m 135°
125°
55°
100°

Answers

Answer:

answer: m = 125

Step-by-step explanation:

parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!

Step-by-step explanation:

here's your solution

==> sum of corresponding angles of parallelogram = 180°

==> angle J + angle k = 180°

==> 55° + k = 180°

==> k = 180° - 55°

==> k = 125°

[tex]hope \: it \: helps[/tex]

Paul is selling $2 raffle tickets for his baseball team. He needs to sell at least
$230 worth of tickets to earn a team jacket. If he has already sold $50 worth of tickets, how many more raffle tickets, x, does Paul need to sell to earn a team jacket? ​

Answers

Answer: 90 more tickets

Step-by-step explanation:

230 - 50 = 180

180 divided by 2 = 90 tickets

Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3

Answers

Its really simple the next number should be 1

What is the volume of a triangular prism whose base has an area of 38.2mm and heigh of the prism meausers 14mm?

Answers

Answer:

534.8

Step-by-step explanation:

Volume= area × height

= 38.2×14

= 534.8

Hence the volumer is 534.8

Answer:

534.8 mm

Step-by-step explanation:

The volume of a triangular prism is given by the relation :

Volume = Base area * height

Base area = 38.2 mm

Height = 14 mm

Hence, the Volume of triangular prism is :

V = 38.2mm² * 14mm

Volume = 534.8 mm

9 mi
12 mi
What is the length of the hypotenuse?
miles

Answers

15..........................

Does anyone know how to do this plz help if u can.

Answers

Answer:

1. Positive

2. I can't read the second question...

Step-by-step explanation:

1. When you graph this equation and look at the quadrant 2, you see that the graph makes a happy face which means that it's positive

2. Give me brainliest

are these two triangles congruent? if so state, how you know.

Answers

Answer:

by SSS axiom

hope it helps.

Answer:

Step-by-step explanation:

Yes

the two sides that are marked make 2/3 of the sides needed for SSS

The line shared by both triangles make the third side.

Answer: SSS

Graph the following function on the axes provided.

Answers

Answer:

this may help you.look it once

Step-by-step explanation:

.

The question is in le picture below U-U

Answers

Answer:

30%

Also I LOVE THE EMMA PIC!!!!!!!!

Guys help me with this quick pls​

Answers

Answer:

[tex]117 = 66 + \beta \\ \beta = 51[/tex]

I need some help!! I will try to give brainliest!!!

Answers

Answer:

x = 35

y = 95

Step-by-step explanation:

(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.

(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.

Answer:

x = 85, y = 45

Step-by-step explanation:

solving for x:

180 - 95 = 85

solving for y:

85 + 50 = 135

180 - 135 = 45

Good luck on your schoolwork

2.52343454 + -34355343.99
NEED HELP PLZZZZZZ ASAP

Answers

Answer:

5555555555555555555555555555555555555 trust

Step-by-step explanation:

What is the perimeter of this shape? Use numbers only.

Answers

Answer:

30 m

Step-by-step explanation:

You simply add the lengths of all the sides. 3 m is not needed for this.

Answer:

10+5+4+6+5 = 30m

Step-by-step explanation:

14. A cone has twice the base diameter and
three-fourths the height of a cylinder. Can
you tell what the relationship between the
volume of the cone and the volume of the
cylinder is? Explain your reasoning.

Answers

Answer:

1+1 is cannot be

Step-by-step explanation:

jajauajhwhahwwhhahwhauwu

a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is after 12 weeks. e comment on the predicted length of the marrow after one year.

Answers

Answer:

The common ratio is 1.2.

After 12 weeks the plant will be 4.46 meters long.

After one year the plant will be 6,552.32 meters long.

Step-by-step explanation:

Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:

0.50 x 1.2 ^ X = Y

Therefore, the common ratio is 1.2.

0.50 x 1.2 ^ 12 = Y

0.50 x 8.916 = Y

4.4580 = Y

Therefore, after 12 weeks the plant will be 4.46 meters long.

0.50 x 1.2 ^ 52 = Y

0.50 x 13,104.63 = Y

6,552.32 = Y

Therefore, after one year the plant will be 6,552.32 meters long.

Each triangular face of the following solid figure is congruent. If the area of each face is 12 square inches, what is the
surface area of the entire figure?

Answers

Answer:

the surface area is 48in^2 because there are 4 faces and you have to find the surface are in which you must multiply 12 by 4.

Step-by-step explanation:

Just wanted to make sure I got the right answer

Answers

Answer:

D

Step-by-step explanation:

In an isosceles triangle, the base angles measure 65°. Which of the following expressions is a way to calculate the measure of the third angle?​

Answers

Answer:

its A

Step-by-step explanation:

its A ️ ‍♀️ ️ ‍♂️ ️

180-2(65). The base are both 65 and a triangle adds up to 180.

a)Solve for x:
y = 130 − 4x

b) What is the value of x when y = 120

Answers

Answer:

[tex]x = \frac{5}{2}[/tex]

Step-by-step explanation:

y = 130 - 4x

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

120 = 130 - 4x

-10 = -4x

x = [tex]\frac{-10}{-4} =\frac{5}{2}[/tex]

giving out brainliest answer please help me out asap !! it’s due today

Answers

Answer:

180=3x+7x+10

simplify

180=10x+10

subtract 10 from both sides

170=10x

divide both sides by 10

x=17

Find the solution of the following equation whose argument is strictly between 90° and 180°.

Answers

Answer:

180degreesStep-by-step explanation:

Given the complex value

z² = -81i

z = (-81i)^1/2

Get the argument of -81i

theta = arctan(y/x)

theta = arctan(-81/0)

theta = -90degrees

theta = -π/2

Since tan is negative in the secind quadrant

theta =  π - π/2

theta = π/2

According to demoivres theorem

theta = 1/2 * π/2

theta = π

theta = 180degrees

Need answer ASAP

Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples’ ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.

Answers

Answer:

subject?

Step-by-step explanation:

The inferences given can be concluded as (a) Agree, (b) Disagree, (c) Agree, (d) Disagree and (e) Disagree

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given two equations made each by Keiko and Eric. They are,

Keiko : t = -1.63a + 92.14

Eric : t = -1.05a + 80.97

(a) As the value of a increases, the value of t decreases for both of the equations.

So the first statement is true.

(b) When a = 20 and 30, t = 59.54 and 43.24 in the equation of Keiko.

When a = 20 and 30, t = 59.97 and 49.47 in the equation of Eric.

On an average, Eric's equation gives more t.

So second statement is false.

(c) t = 92.14 and t = 80.97 when a = 0.

A person with 0 years old cannot end texts.

So y intercept does not have a relevant meaning.

So c is also true.

(d) -1.63 and -1.05 is the slope of the corresponding lines.

This means that for every 1 year increase in age, the number of text messages decreased by 1.63.

So this is false.

(e) Similarly, in case of Eric's equation, for very 1 year increase in age, the number of text messages decreased by 1.05.

This is also false.

Hence the inferences are either agreed or disagreed as explained.

Learn more about Equations here :

https://brainly.com/question/16038959

#SPJ2

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