Find a1 for the arithmetic sequence's 21st term is 400 is 400 and it's common difference is 5​

Answers

Answer 1

Answer:

8,395

Step-by-step explanation:

21 x 400 = 8,400

is = x

8, 400 - 5 = 8,395

difference = -

Brainlist Pls!


Related Questions

Solve for x HELP ASAP

Answers

First you have to do an exercise up in a calculator an good answer is an elephants with her sweetie pet that is a microwave and they surf in a bottle of red wine. Then they get up to the moon an run in the park

evaluate plssssssssssssssssssss

Answers

Answer:

2/5!

Step-by-step explanation:

Answer this question please

Answers

Can I please see the graph and the options. I want to help but I can’t see the graph or the options.

Can you help me for these 3 questions. ​

Answers

Answer:

Step-by-step explanation:

1) a + a

2) 2n+4 = 6n

3)   1

4n = 4

n = 1

HELP PWEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

rap music

Step-by-step explanation:

^

Answer:

i’m not sure if these are right or not but

Step-by-step explanation:

the first one is no

i think the second one is no

i think the third one is yes

i think the fourth one is yes

i am not sure and i’m REALLY sorry if its wrong

Drag the operations signs to make the number sentence true. Use each operation sign once. +–×÷ 4 (3 2) 6 1 = 14

Answers

Answer:  its 4x(3+2)-6÷ 1=14

Step-by-step explanation: in the picture

Use the box method to distribute and simplify (2 + 1)(2x - 3). Drag and drop the
terms to the correct locations of the table.

Answers

Answer:

2x^2-x-3

(2x)(-3)

(x)

(1)

Step-by-step explanation:

Distribute

(2x^2) (-3x)

(2x) (-3)

5
7
9
4
In percents?

Answers

Answer:

Convert the decimal to a percentage by multiplying the decimal by  

100 .

500%

700%

900%

400%

Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.


A. Write a recursive rule for this series


B. Write an explicit rule for this series


C. Using the explicit formula, find the number of chairs in row 5


D. The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium

Answers

Answer:

The first term is 10.

The second term is 16

The third term is 22.

We can see that the first term plus 6, is:

10 + 6 = 16

Then the first term plus 6 is equal to the second term.

And the second term plus 6 is:

16 + 6 = 22

Then the second term plus 6 is equal to the third term.

A) As we already found, the recursive rule is:

Aₙ = Aₙ₋₁ + 6

B) The explicit rule is:

Aₙ = A₁ + (n - 1)*6

Such that A1 is the first term, in this case A₁ = 10

Then:

Aₙ = 10 + (n - 1)*6

C)

Now we want to find A₅, then:

A₅ = 10 + (5 - 1)*6 = 34

There are 34 chairs in row 5.

D)

Here we have 17 rows, then we can have 17 terms, this means that the total number of chairs will be:

C = A₀ + A₁ + ... + A₁₆

This summation can be written as:

∑ 10 + (n - 1)*6        such that n goes from 0 to 16.

The formula  for the sum of the first N terms of a sum like this is:

S(N) = (N)*(A₁ + Aₙ)/2

Then the sum of the 17 rows gives:

S(17) = 17*(10 + (10 + (17 - 1)*6)/2 = 986 chairs.

There are total 986 chairs in the considered auditorium and there are 34 chairs in the fifth row.

The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex]The explicit rule for this series is: [tex]T_n = 6n + 4[/tex]

What is recursive rule?

A rule defined such that its definition includes itself.

Example: [tex]F(x) = F(x-1) + c[/tex] is one such recursive rule.

For this case, we're provided that:

Seats in rows are 10 in front, 16 in second, 22 in third, and so on.

10 , 16 , 22 , .....

16 - 10 = 6

22 - 16 = 6

...

So consecutive difference is 6

If we take [tex]T_i[/tex] as ith term of the series then:

[tex]T_2 - T_1 = 6\\T_3 - T_2 = 6\\T_4 - T_3 = 6 \\T_5 - T_4 = 6\\\cdots\\T_{n} - T_{n-1} = 6[/tex]

Thus, the recursive rule for the given series is [tex]T_{n} - T_{n-1} = 6[/tex] or [tex]T_n = T_{n-1} + 6[/tex]

From this recursive rule, we can deduce the explicit formula as:
[tex]T_n = T_{n-1} + 6\\T_n = T_{n-2} + 6 + 6\\\cdots\\T_n = T_{n-k} + k \times 6\\T_n = T_1 + 6(n-1)\\T_n = 10 + 6(n-1) \: \rm (as \: T_1 = 10)\\[/tex]

Thus, the explicit rule for this series is [tex]T_n = 10 + 6(n-1)[/tex]

For 5th row, putting n = 5 gives us:

[tex]T_n = 10 + 6(n-1) = 6n + 4\\T_5 = 6(5) + 4 = 34[/tex]

If the auditorium has 17 rows, then total chairs are:

[tex]T = T_1 + T_2 + \cdots + T_{17} = \sum_{n=1}^{17} T_n\\\\T = \sum_{n=1}^{17} (10 + 6(n-1))\\\\T = \sum_{n=1}^{17} (6n + 4)\\\\T = 6\sum_{n=1}^{17} n + \sum_{n=1}^{17}4 = 6\sum_{n=1}^{17} n + 4 \times 17\\\\T = 6\left( \dfrac{17(18)}{2}\right) + 68 = 918 + 68\\\\T = 986[/tex]

(it is because [tex]\sum_{k=1}^n k = 1 + 2 + \cdots + n = \dfrac{n(n+1)}{2}[/tex] )

Thus, there are total 986 chairs in the considered auditorium. There are 34 chairs in the fifth row. The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex] The explicit rule for this series is: [tex]T_n = 6n + 4[/tex].

Learn more about recursive rule and explicit rule here:
https://brainly.com/question/12620593

WILL GIVE BRAINLIEST PLEASE HELP ASAP, BEST ANSWER GETES BRAINLIEST. NOT A SCAM AND ITS NOT CAP WHAT SO EVER

Answers

Answer:

A. 60 + x = 90

Step-by-step explanation:

Complementary angles add up to 90 degrees so

60 + x = 90

Answer:

The answer is A: 60 + x = 90

Step-by-step explanation:

Complimentary angles are two angles that add up to 90, so the equation 60 + x = 90 is what you need to use to find the complimentary angle. I hope this helps :)

please help.
I need which letters to click

Answers

The answers are A CE

Please Help!!! Unit 8: Right Triangles & Trigonometry Homework 6: Trigonometry Review

Answers

The value of x from the figure is [tex]cos^-1(\frac{14}{13} )[/tex]

Triangles and Angles

From the given diagram, we have the following

Adjacent = 14Hypotenuse = 13

The required angle is x

Using the SOH CAH TOA identity

[tex]cos \theta =\frac{adj}{hyp}\\ cos \theta =\frac{14}{13}\\ \theta = arccos(\frac{14}{13} )[/tex]

Hence the value of x from the figure is [tex]cos^-1(\frac{14}{13} )[/tex]

Learn more on SOH CAH TOA here: https://brainly.com/question/22307176

Find the perimeter of a rectangle if the length of one side is 9x + 6y and the width is 13x + 2y.

Answers

Answer:

perimeter of rectangle = 2 (length + breadth)

= 2(9x + 6y + 13x + 2y)

= 2(22x +8y)

= 44x + 16y

Step-by-step explanation:

9x+6y

9-9x+6-9y both side subtract 9

x+(-3)y

x-3y the answer

13x+2y

13-13x+2-13y

x+(-11)y

x-11y .

follow me

HELP ASAP!!! select all the descriptions that apply to the transformation!

Answers

Answer: A and B

Step-by-step explanation:

The shape is moving from right to left and down

A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture? (No links)

Answers

Answer:

she have 29 seed for the pasture


$448,740

FENCING: $27(255+255+450+450+450)/3 = $16740
GRASS SQUARE: 450^2 * $2= $405000
GRASS TRIANGLE: sqrt(255^2-120^2) = 225, 120/2 * 225 = 60 * 225 = 13500 ft^2, 13500 * 2 = $27000
$16740 + $405000 + $27000 = $448,740

What does this equal to

|9-14|

Answers

Answer:

5

Step-by-step explanation:

An absolute value is NEVER negative.

|9 - 14| = |-5| = 5

Answer: 5

3. The angle between two equal sides of an isosceles triangle is 52º.
Each of the equal sides is 18 cm long.
a) Determine the measures of the two equal angles in the triangle.
b) Determine the length of the third side.
c) Determine the perimeter of the triangle.

Answers

Answer:

a) 64° each

b) 15.78 cm

c) 51.78 cm

Step-by-step explanation:

a) (180 - 52)/2 = 64°

b) cos 64 = x/18, x = 7.89, 2x = 15.78 cm

c) 18 + 18 + 15.78 = 51.78 cm

Andrea constructed a triangle. Angle 1 and 3 are the same size and angle 2 has a measurement of 70 degrees. What is the measurement of angle 1 and 3

Answers

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of all angles of a triangle is 180°.

m∠1 + m∠2 + m∠3 = 180°

(m∠1 + m∠3) + m∠2 = 180°

2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]

2(m∠1) = 110°

m∠1 = 55°

Therefore, m∠1 = m∠3 = 55°

Which of the following properties is represented by the calculations in the photo?

A) multiplication property of equality
B) zero sum property
C) addition property of equality
D) zero product property

Answers

Answer:

D. zero product property

Step-by-step explanation:

Base on the Zero Product Property, if the product of factors gives us 0, either of the factors or both would equal 0.

Thus,

xy = 0, therefore,

x = 0 or y = 0

Therefore, the property that is represented by the calculation given in the photo is Zero Product Property.

Need someones help on this!

Answers

I think the answer is B hope this helps!

Point B has coordinates (1,2). The x-coordinate of point Ais - 11. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?

Answers

This is a famous triangle ( 5 -12 -13)
So y1= -7

Will mark brainliest for the **CORRECT** answer!

Answers

Answer:

4x + 12x = 320

16x = 320

x = 20

Step-by-step explanation:

This is because the diagram shows 4x + 12x and the total being, 320.

4x + 12x = 16x

and 320/16 = 20

so x = 20

hope this helped :)

select all the measurements that create a unique triangle

Answers



First of all, a journey refers to traveling from one place to another. When it comes to journeys, train journeys take the top spot. A train journey certainly is a wonderfully joyous occasion. Furthermore, train journeys fill individuals with a feeling of intense excitement. This mode of the journey is best when the travel distance is long. A train journey creates an aura that cannot be experienced with other types of journeys.
My Experience of Journey by Train
I have always been an avid supporter of train journeys. My involvement with train journeys began in childhood. I live in Lucknow and from here I have undertaken many train journeys. Furthermore, since childhood, I have paid several visits to the hill station of Almora to meet my relatives. Almora is a hill station located in the state of Uttarakhand. Most noteworthy, Almora is situated in the Himalayan mountain region. Due to this, trains cannot travel directly to Almora. Consequently, Kathgodam is the last town station accessible by trains before the mountain range begins.
The trip from Lucknow to kathgodam is quite a lively experience. I have always ensured the reservation of my seats beforehand. So, my train journey begins from Lucknow railway station. As the train undergoes motion and leaves the Lucknow railway station, my excitement begins to rise. Moreover, as the train gathers speed, a thrilling feeling overtakes me.
My train journey from Lucknow to Kathgodam is probably 8-10 hours duration. However, I enjoy every minute of it in spite of the journey being so long. Furthermore, all along the journey, one can purchase items of food and drinks. I almost always purchase meals and refreshments at least twice in the journey.
When slumber overtakes me, I make use of the sleeping berth. I personally find sleeping on the train berth very comfortable. When I wake after a deep sleep, mountains are visible from a distance. Moreover, as the train approaches Kathgodam with menacing speed, the view of mountains gets bigger and bigger. Also, my amusement greatly rises as I see the Himalayas draw closer. Finally, as the train stops at Kathgodam, my delightful train journey comes to an end.
Why Do I Like to Travel by Train?
Comfort is one of the biggest advantages of a train journey. Most noteworthy, one can move freely in a train cabin. Furthermore, in trains, there is a possibility of an ample foot room. Moreover, trains offer comfortable sleeping berths. All of this makes the train journey a relaxing experience.
Beautiful sightseeing is another noteworthy benefit of train journeys. As the train travels, one can enjoy the views of the countryside, farms, forests, factories, etc. This makes train journeys more comprehensive than journeys by air or road.
Train journeys offer a variety of opportunities to pass time. Furthermore, the train offers a sociable environment. In train journeys, conversations between passengers almost always take place. One can make new friends with traveling passengers on the train easily. Also, one can spend time in a handsome manner on a train journey. In a train journey, one can spend time reading something, listening to music, watching videos, sleeping/resting comfortably, etc.
To sum it up, train journeys are truly one of a kind. The train journey offers uniqueness like no other journey. Most noteworthy, the charm of such a journey is unmatchable. The train journey certainly offers an unforgettable rich experience.
A. 00:00 Two angles and an included side
C. 00:00 Two sides and an included angle
E. 00:00 All three sides
Step-by-step explanation:
A triangle can be defined as a shape with 3 sides.
A unique triangle can be defined as a triangle that no other triangle can be drawn or created from it.
It is also called a unique triangle because it can be drawn only in a specific way.
Features of a Unique Triangle includes:
a) A triangle that the length of its three sides is known or given.
b) A triangle that the length of two sides is given as well as an included angle.
c) A triangle that two angles are given or known as well as the length of an included side.
d) A triangle that two angles are known or given and a non-included side length is given as well.

Please show me step by step how to do this

Answers

Answer:

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Step-by-step explanation:

The statement describes an arithmetic progression, which is defined by following formula:

[tex]p(n) = p_{1}+r\cdot (n-1)[/tex] (1)

Where:

[tex]p_{1}[/tex] - First element of the sequence.

[tex]r[/tex] - Progression rate.

[tex]n[/tex] - Index of the n-th element of the sequence.

[tex]p(n)[/tex] - n-th element of the series.

If we know that [tex]p_{1} = 1[/tex], [tex]n = 2[/tex] and [tex]p(n) = 5[/tex], then the progression rate is:

[tex]r = \frac{p(n)-p_{1}}{n-1}[/tex]

[tex]r = 4[/tex]

The set of elements of the series are described by [tex]p(n) = 1 + 4\cdot (n-1)[/tex].

Lastly, if we know that [tex]n = 300[/tex], then the 300th term of the sequence is:

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 1197[/tex]

And the next three terms of the sequence are:

n = 5

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 17[/tex]

n = 6

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 21[/tex]

n = 7

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 25[/tex]

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Need Help ASAP!!! I don’t get it

Answers

Answer:

Step-by-step explanation:

134-(-80)=134+80=214

Joseph orders some pizza for himself and his friends. The cost of each pizza is £12.50, and the delivery charge is £1.50. If Joseph orders 11 pizzas, how much does Joseph pay in total?

Answers

Answer:

£139

Step-by-step explanation:

£12.50 * 11 = 137.50

137.50 + 1.50 = £139

Answer:

137.5 + 1.50 = £139

Step-by-step explanation:

Please Give brainliest

What is 0.0003246 expressed in scientific notation?
A.
32.46
×
10

5
B.
3.246
×
10

4
C.
3.246
×
10
4
D.
32.46
×
10
5

Answers

Answer:

B

Step-by-step explanation:

the notation answer would also be 3.246 × 10-4 i believe :)

Triangle ABC was reflected across an axis.
A. State what axis it was reflected across
B. Give the ordered pairs of the reflected triangle

Answers

reflected across the x axis
ordered pairs are b’(3,1), a’(4,6), and c’(6,2)

18+2 =20
Because 18 is 2 numbers away from 20

Answers

Answer:

Yes, that is correct.

Step-by-step explanation:

PLEASE HELP, ONLY HAVE A FEW MIN LFT!!!!
A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a scatterplot and trend line based on the data.

Which statement would be a reasonable prediction based on the scatterplot and trend line?

A box with 10 books should weigh about 2 pounds.
A box with 10 books should weigh about 4 pounds.
A box with 10 books should weigh about 6 pounds.
A box with 10 books should weigh about 12 pounds.

Answers

Answer: According to the trendline it would be about 6 lbs

Step-by-step explanation:

Answer:

C.

Step-by-step explanation: I did the test </3

Other Questions
i get alot of these please help Question 9 of 11Which class of people had the most real power in the Japanese feudalsystem and were powerful military leaders?A. PeasantsB. ShogunsC. SamuraiD. Emperors Read the following stories.Story 1A wealthy boy from a prominent family was always pampered and taken care of, but he never had anything to do. He started taking long walks along the gates out front of his mansion, so he could catch a glimpse of the excitement of the town. One day while walking, he spotted a townsman outside the gate who looked just like him. The wealthy boy told the townsman of all the wonders and riches of the mansion, and the townsman spoke of all the gossip and business of his working life. They decided it might be fun to trade places. The townsman loved his new role as a wealthy young man. He ate fine food, watched wonderful entertainment, and wore stunning clothing. The wealthy boy loved his new role as a townsman. He explored the city streets, enjoyed all the sights and smells of the markets, and met all sorts of interesting people. Eventually, though, life at the mansion grew complicated. The wealthy boy's family wanted him to take over the family business, and the townsman grew stressed with his new responsibilities. The wealthy boy was having trouble too. He was having a hard time earning a living, and he was tired and hungry from working all day. The wealthy boy returned to the mansion gates to see the townsman. Life had looked more enchanting on the other side of the gates, but they returned to their rightful roles and were all the more thankful for the blessings of their own lives.Story 2There were two twin girls who dreamed of being married. The one girl was very intellectual. She loved to read, explore, and learn new things. The other girl was very athletic, and she wanted a husband that shared her same interest in sport and activity. The intellectual twin decided to marry a man who had been an explorer. He had fascinating tales of his travels. The athletic sister decided to marry a very competitive, loving, romantic young man who had a passion for hunting and sport. Both twins were very pleased with their choices and fell much in love with their respective husbands. Eventually though, their love began to fade. The athletic twin grew tired of being in constant competition with her husband. The intellectual twin's brain was being exhausted by the constant learning and testing. The twin sisters decided they would trick their husbands and make a switch. At first, the intellectual sister loved all the attention and competition from her sporty new husband. The athletic sister loved learning of all sorts of new things and loved going on long walks and adventures with her new husband. Eventually, though, the twins were doubly exhausted by the pursuits of their new husbands. They longed to switch back to the familiarity and routine of their own lives. Even though their husbands seemed to be troublesome, they were familiar, and they shared the interests that were best suited to each twin sister.What is different about the plots of both stories? In Story 1, a wealthy boy and a poor townsman trade lives. In Story 2, two twin sisters trade husbands. In Story 1, a wealthy boy and a sporty twin trade lives. In Story 2, an intellectual twin marries a townsman. One story is about poor people becoming wealthy, and the other is about wealthy people becoming poor. One story is about two people who look nothing alike, and in the other story the characters look identical. Solve the below equations put the answer in radical form. A bank charges a fee of 0.5% per month for having a checking account. Stephanis account has $325 in it. Which function models the balance of Stephanis account, B(t), in dollars, as a function of time, t, in months?a: B(t) = 325(0.0995)tb:B(t) = 325(0.005)tc:B(t) = 0.05(325)td:B(t) = 325 + 12(0.005)t I NEED THE ANSWER ASAP I AM IN A RUSH!!!!True or False: Kinetic energy of an object is directly proportional to the square of its speed. That means that if its speed doubles, its kinetic energy will quadruple.Group of answer choicesTrueFalse The contrast ratio of blue 80 text on a yellow-10 background is __ to 1.808704 Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1meter pieces of ribbon can he cut? Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark. How much shorter with their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead? How did the lives of free blacks in Texas change after Texan independence?The Republic of Texas passed laws denying citizenship to free blacks.The Republic of Texas passed reforms improving the social status of free blacks.The population of free blacks increased after the Republic of Texas abolished slavery.Many free blacks enlisted in the Mexican Army to fight against the Republic of Texas. Aidan bought a pizza cut into 5 slices. If he ate one slice for lunch, what percentage of the pizza remained uneaten? Given f(x)=9+x and g(x)=3x-2, evaluate: fg(x) Which of the following quotes spoken by Romeo shows the strongest example of how hechanges over the course of Romeo and Juliet? I need help with my math cut my b no one answered this one and I put the wrong subject In all the laboratories the benches are placed at right angles to windows. Why Help please what is the ratio for 0.875? The diagram shows the same type of molecules in area A and area B.With the passage of time, some molecules move from area A to area B. This movement is the result ot the process of1. phagocytosis2. pinocytosis3. diffusion4. cyclosis what is the distance between (6,-7) (3,-5) At LaGuardia Airport for a certain nightly flight, the probability that it will rain is0.07 and the probability that the flight will be delayed is 0.19. The probability that itwill not rain and the flight will leave on time is 0.75. What is the probability that it israining and the flight is delayed? Round your answer to the nearest thousandth.