Find the sum: 11 + 15 + 19 + .......+ 83

Answers

Answer 1

Answer: i dunno what '.......' was suppose to mean but 11 + 15 + 19 + 83 = 128

Step-by-step explanation: b more specific dood -_-

Answer 2

The sum of the arithmetic series is:

893

What are arithmetic progressions?

An arithmetic sequence with a specific number of terms is the sum of all the terms in an arithmetic series.

An arithmetic sequence's first n terms are added together to form (n/2).(a1+an). The arithmetic series formula is what it is known as.

Solution:

Given:

a1 = 11, a2 = 15 and an=83

Step-1:

d= a2 ₋ a1

d= 4

Now, an = a ₊ (n ₋ 1)d

          83 = a ₊ (n ₋ 1)4

          83 = 11 ₊ 4n ₋4

          83 = 7 ₊ 4n

         4n = 83 ₋ 7

          n = 19

Step-2:

Now, Sn = n/2 (a1 ₊ an)

         Sn = 19/2 (11 ₊ 83)

         Sn = 19/2 ₓ 94

         Sn = 893

Hence we get the answer as 893

Learn more about "Arithmetic progressions" here-

brainly.com/question/6561461

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Related Questions

To the nearest gallon, what is the volume of a cylindrical water heater 1.4 feet in diameter and 4 feet tall (1 cubic foot=7.48 gallons)

Answers

The answer would be 46 gal.

What do the following two equations represent?

Answers

Answer:

C)

Step-by-step explanation:

Find the solution of the system of equations.
4x-10y=0
4x-9y=-2

Answers

Answer:

{x,y} = {-5,-2}

Step-by-step explanation:

What is the area of the rectangle

Answers

Answer:

E. 54cm ^2

Step-by-step explanation:

when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm

Answer:

E

Step-by-step explanation:

length times width

6 x 9 = 54

what is the standard deviation of 6, 2, 3, 1

Answers

Answer:

1.870828693387

Step-by-step explanation:

Standard Deviation, σ: 1.870828693387

Count, N:4

Sum, Σx: 12

Mean, μ: 3

Variance, σ2:  3.5

Steps

σ2 = Σ(xi - μ)2

N  =   (6 - 3)2 + ... + (1 - 3)2

4 = 14

4  = 3.5

σ = √3.5

= 1.870828693387

HELP PLEASE I SUCK AT THIS!<3

Answers

I’ve attached an image of how the circle would look

What does the simple interest stand for? Interest = Principal x Rate x Time Interest = Per unit x Rate x Time Interest = Price x Rate x Total Interest = Principal x Rest x Total

Answers

9514 1404 393

Answer:

  (a)  Interest = Principal x Rate x Time

Step-by-step explanation:

The letters in the simple interest formula ...

  I = Prt

stand for ...

  Interest = Principal x Rate x Time

Consider the equations below:

y = 2x and 6x = 3y + 5

Are the lines parallel or perpendicular?

A Parallel because the product of the slopes is -1.

B Parallel because the slopes are the same.

C Perpendicular because the product of the slopes
is -1.

D Perpendicular because the slopes are the same.

Answers

Answer: B) Parallel because the slopes are the same

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

Explanation:

Let's solve 6x = 3y + 5 for y

6x = 3y + 5

6x-5 = 3y

3y = 6x-5

y = (6x-5)/3

y = (6x)/3 - (5/3)

y = 2x - (5/3)

This final equation is in the form y = mx+b with m = 2 as the slope and b = -5/3 as the y intercept.

With the equation y = 2x, aka y = 2x+0, the m and b values are m = 2 and b = 0 respectively.

We see that both equations have the same slope (m = 2), but different y intercepts. Therefore, the two lines are parallel. If both y intercepts were the same as well, then we'd be talking about the same identical line.

If the slopes multiplied to -1, then the lines are perpendicular. In any other case, the two lines are neither parallel nor perpendicular.

please help me you get 20 points !

Answers

1 one the 3 one and the 5 one

will give brainiest!
The Pythagorean Identity states that:
(sin x)2 + (cOS X)2 = 1
Given cos 0 = 6/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction.

Answers

Answer:

[tex] \frac{4}{5} [/tex]

Step-by-step explanation:

[tex] ( \cos \theta) ^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \therefore \: { \bigg( \frac{{6} }{10} \bigg)}^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \frac{36}{100} + ( \sin \theta) ^{2} = 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{64}{100} \\ \\ \sin \theta = \sqrt{\frac{64}{100} } \\ \\ \sin \theta = \frac{8}{10} \\ \\ \sin \theta = \frac{4}{5} [/tex]

Giving brainlist to whoever answers

Answers

Answer:

C.

Step-by-step explanation:

1. Una proposición que necesita ser demostrada y que cuya demostración consta de un conjunto de razonamientos se llama:

A. Axioma. B. Hipótesis. C. Colorario. D. Teorema.



2. Una proposición tan sencilla y evidente por sí misma que se admite sin demostración:

A. Axioma. B. Hipótesis. C. Escolio. D. Teorema.

Answers

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

En matemáticas, un conjunto de proposiciones que deben estar respaldadas por una prueba adecuada basada en el razonamiento se denomina teorema. Se puede demostrar plenamente que todos los teoremas matemáticos son verdaderos mediante el razonamiento.

Sin embargo, un axión es evidente por sí mismo y no necesita ser probado. Es un hecho ya establecido.

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

Espero que esto ayude

A ______________ divides a segment or angle in half.
slant
straight
line
bisector
middle line

Answers

Answer:

bisector

Step-by-step explanation:

A bisector divides a segment or angle in half.

Answer:

bisector

Step-by-step explanation:

i give brainlesss if u help me

Answers

Answer:

91,858

Step-by-step explanation:

This is the right answer

Answer: the answer is B hope it helps

Step-by-step explanation:

16,468 plus 75,390 = 91858

A polar bear weighs 3 times more than a baby elephant. Both of them together weigh 700 kilograms. How much does the polar bear weigh?

Answers

Answer:

The polar bear weighs 525kg

Step-by-step explanation:

C = Polar Bear

D = Baby Elephant

____________________________

(1)  C + D = 700 kg

(2)  C = 3D

________________________________

C = 700 - D

700 - D = 3D

700 = 4D

________________________________

525 + 175 = 700

Then we get our answer, the polar bear weighs 525kg, and the baby elephant weighs 175kg.

Hope this helps you :)

can someone help me with my math pls

Answers

Answer:

Both 4x^2 and 64 are perfect squares

Step-by-step explanation:

If you are looking for the difference of squares, the two terms both have to be squares. We know that 64 is a square because it is 8 x 8. Also, we can say 4x^2 is a square because it can also be written as (2x)^2. We are basically looking for an option that tells us that they are square. This is option 1.

The second option is invalid because being an even number does not mean the number is a square.

The third option does not help the case much either. Just because there is a common perfect square factor, does not mean the numbers themselves are perfects squares.

The area of a rectangular playground is 78 square meters. If the length of the playground is 13 meters, what is its width?

Answers

Answer: It’s 6 meters

Step-by-step explanation:

if we know the area and the length we need to divide the two to get the width.

78 divided by 13. = 6

For a given geometric sequence, the 9th term, a9, is equal to 43/256 and the 14th term, a14, is equal to 172. Find the value of the 18 term

Answers

Answer:

[tex]18th=44032[/tex]

Step-by-step explanation:

From the question we are told that:

9th term [tex]a9=\frac{43}{256}[/tex]

14th term [tex]a14=172[/tex]

Generally the equation for Geometric sequence is mathematically given by

 [tex]a_n=a_1r^{n-1}[/tex]

For 9th term

 [tex]\frac{43}{256}=a_1r^{8}[/tex]

For 14th term

 [tex]172=a_1r^{13} \\a_1=\frac{172}{r^13}[/tex]

Substitute in 9th term

 [tex]\frac{43}{256}=\frac{172}{r^13}*r^{8}[/tex]

 [tex]\frac{43}{256*172}=r^{-5}[/tex]

 [tex]r=^5sqrt{\frac{44032}{43}}[/tex]

 [tex]r=4[/tex]

Therefore First term a is given as

 [tex]a_1=\frac{172}{4^13}[/tex]

 [tex]a_1=2.563*10^{-6}[/tex]

Generally the equation for the 18th term is mathematically given by

 [tex]18th=a_1r^{17}[/tex]

 [tex]18th=2.563*10^{-6}*4^{17}[/tex]

 [tex]18th=44032[/tex]

How do you know the that two triangles are similar?

Answers

Answer:

Because if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar

Step-by-step explanation:

Answer: they look similar

Step-by-step explanation: to try to figure it out rotate one triangle to make it look identical :)

In how many years the interest of Rs 25000 at 5.5% per year will be Rs3300?
Plzz help!!!​

Answers

Answer:

37.82 year(s)

Step-by-step explanation:

double check tho, i might be using different method or my ans could be wrong since you gave literally no info on your specific task

What is the equation for -8 = p - 13

Answers

Answer: 5 is your answer hope this helped

plz make brainly

Step-by-step explanation:

5 :) hope this helps !!

The graph shows a line and two similar triangles.
What is the equation of the line?
y = 3 x
y = one-third x
y = one-third x + 2
y = 3 x + 2

Answers

Answer:

y=1/3x+2

Step-by-step explanation:

please help! i promise ill give brainliest, tysm

Answers

Answer:

f(x) = x(x-1)

Step-by-step explanation:

The easy way to do this is to look at it graphically. an inverse function is reflected across the line y=x. f(x)=x(x-1) is an upward opening parabola when reflected, there are two y-values for all positive values of x. A function can only have one y for every x.

Answer:

2nd to the left

Step-by-step explanation:

The kids are racing around a circle on the playground with a radius of 12 feet. If they ran around it 5 times, how far did they run round to the nearest foot?

Answers

Answer:

377 feet

Step-by-step explanation:

Find the circumference on the circle, using the formula C = 2[tex]\pi[/tex]r

Plug in 12 as r, the radius, then solve:

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](12)

C = 24[tex]\pi[/tex]

Multiply this by 5, since the kids ran around it 5 times:

24[tex]\pi[/tex](5)

= 120[tex]\pi[/tex]

To the nearest foot, this is 377.

So, the kids ran round 377 feet

Hyde Middle School is painting a circle on their playground with a radius of 10 feet. What will be the total
area of the circle, in square feet?
Use T = 3.14, and round your answer to the nearest hundredth.

Answers

Answer:

62.8

Step-by-step explanation:

3.14 times 2 times 10

I hope this helps!

write the product in standard form: (3y-5)(3y+5)

Answers

Answer:

9y^2 - 25

Step-by-step explanation:

This is the product of the sum and difference of two squares:

(a - b)(a + b) = a^2 - b^2 (a formula well worth memorizing)

Therefore, (3y - 5)(3y + 5) = 9y^2 - 25, which is in standard form.

Help me ASAP I have a 67% I math the girlie needs help

Answers

Answer:

x=28

Step-by-step explanation:

4(x-5)=92

4x-20=92

add 20 to both sides

4x=112

divide 4 on both sides

x=28

Answer:

The value of x is 28

Step-by-step explanation:

4(x - 5) = 92

4x - 20 = 92

4x = 92 + 20

4x = 112

x = 112 ÷ 4

x = 28

Thus, The value of x is 28

-TheUnknownScientist

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

mm i think it’s:
3 rows
6 columns

PLEASE HELP!!! IM DESPERATE!!! NO LINKS!!! If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer:

16.5 feet is the height of the house.

Jerome is painting a rectangular toolbox that is 20 inches by 10 inches by 8 inches. A tube of paint covers 300 square inches. Part B How many tubes of paint should Jerome buy?

Answers

Answer:

2.93 but rounding because he must purchase whole tubes: 3.

Step-by-step explanation:

So, to figure this out, we must recall the formula for sufrace area of a rectangle:

2*L*H+2*L*W+2*W*H

This is a bit long, so lets break it up into 3 seperate segments, and plug in values:

2*L*H

Plug in the values:

2*20*10

=

400

2*L*W

Plug in the values:

2*20*8

=

320

2*W*H

Plug in the values:

2*8*10

=

160

Now that we have solved for each segment, lets add them together to get our total surface area:

400+320+160

=

880

So this is the surface area.

Now, we know that a tube of paint covers 300 of the 880 surface area.

To find the exact amount, lets divide the 880 by the 300:

[tex]\frac{880}{300}[/tex]

Simply:

[tex]\frac{44}{15}[/tex]

This is sligthly less than 3, and doing it out, you actually get 2.93 with the 3 repeating.

Now we need to think about something. Lets say you are going to the grocery store, and you need 1.895893 lettuce. Do you think you will find 1.89 lettuce? No, you could get 1 or 2, but not 1.89 lettuce, that just doesnt make sense.

It is the same thing here, we have to round up. Note that when doing problems such as these, you will never round down. If you need 1.253 tubes of paint, you arent going to get 1. You are going to need 2.  So note that you will always round up when you solving a problem like this.

So your answer is 3.

Hope this helps!

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