Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=

Answers

Answer 1

Answer:

120

Step-by-step explanation:

Given arithmetic sequence

3,5,7,9,.........,21

The first term a=3 & a common difference d=5−3=7−5=⋯=2

If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as

l=a+(n−1)d

21=3+(n−1)2

n=10

hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula

Sn=n2(a+l)

S10=102(3+21)

=120


Related Questions

i need help please thank you

Answers

Answer:

b = 12

Step-by-step explanation:

hi! so this looks like a right triangle because it has a right angle which is 90 degrees! that means we can use the Pythagorean theorem to solve for the missing leg.

The Pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]

a and b will be the two shorter legs, so it does not matter which of the two legs are which! in this problem, 5 and b (the missing leg) are the two shorter legs! c is always the hypotenuse, which is the sloped-looking line. in this problem, 13 is the hypotenuse! this line is the longest side on every right triangle!

Let's solve for the missing leg now!

1) first, we need to plug in the missing numbers into the equation

[tex]5^{2} + b^{2} = 13^{2}[/tex]

2) next, let's simplify the problem

[tex]25 + b^{2} = 169[/tex]

3) now, let's isolate the variable, b

[tex]b^{2} = 144[/tex]

4) finally, we have to take the square root of b so it will be b not [tex]b^{2}[/tex]

b = 12

Let's plug in our answer to the equation to check if it is correct!

[tex]5^{2} + 12^{2} = 13^{2}[/tex]

25 + 144 = 169

169 = 169 hooray!

you do not have to do all of this work if you memorize the Pythagorean triples!

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) , (9, 40, 41)these are automatic matches! for example: [tex]3^{2} + 4^{2} = 5^{2} --> 9 + 16 = 25 --> 25 = 25[/tex]

comment or message if you have any questions :)

3) Determne the largest multiple of 9 less than 200 ​

Answers

Answer:

i think 22

Step-by-step explanation:

9*22=198

Answer my question
Please I need it right away

Answers

Answer:

the mean of the data is 13, so the result is given by the sum of all data (11+12+13+14+15) and divided by 5

can someone help me, please?

Answers

Answer:

None of them are correct maybe?

Step-by-step explanation:

Because the length of bd is 56 and AE is would be bigger but it is not double the size of it so it would be none of these are correct.

Please can someone help me

Answers

Answer:

x = 19 and

y = 3

Step-by-step explanation:

40 + 8sqrt(x) - 5sqrt(x) - (sqrt x)^2 = y(sqrt x) + 21

40 + 3sqrt(x) - x = y (sqrt x) + 21

3sqrt(x) = y (sqrt x)

y = 3

40 - x = 21

40 - 21 = x

x = 10

answer :::: x = 19 and y = 3

not sure how to do this, could use some help. : )

Answers

Answer:

The GCF equal;

[tex] {x}^{3} y {z}^{2} [/tex]

I hope I helped you^_^

Donna bought 4 bags of dog treats for $10.72. What is the cost per bag of dog treats?

Answers

Answer:

2.68

Step-by-step explanation:

Answer: The bags cost about $2.68 each

Step-by-step explanation: All I did was simple Division: ($10.72 ÷ 4 = $2.68) If you need to double check to see if this is accurate, you can do ($2.68 x 4= 10.72)  Therefore, this equation has an accurate answer.~

Hope this helps, have a great day/night!

~IFoundJiminsLostJams~

Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money will he have in his account by the end of the year 8? with solutions​

Answers

Answer:

$34,000

Step-by-step explanation:

Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:

8*1,750 = $14,000

Together with the deposited money:

$20,000 + $14,000 = $34,000

By the end of year 8 there will be $34,000 of Jerry's account.


What is the coefficient of the term of degree 4 in the polynomial?
6x3 + 2x - 5x3 + x²

Answers

the coefficient of term 4 is 2

A student from last year got an answer of 36 when asked to simplify the expression below. Identify the student’s mistake? Then solve it correctly.

`2+10\ \times\ 3`

Answers

2 + 10 x 3 ≠ 36
you have to do the multiplication first.
= 2 + (10 x 3)
= 2 + 30
= 32

The Tiger football team won 2 out of every 3 games they played. If they played 9 games, how many games did they lose?

A.
3


B.
4


C.
6


D.
18

you'll get marked brainliest if you answer first

Answers

Answer:

3

Step-by-step explanation:

2 out of 3. 3x3=9, 2x3=6. 9-6=3

For the function f(x)=5(x+10), find
f −1(x).

Answers

Answer: f-1(x) = x/5 - 10

Shortend: f(x)=5(x+10), f-1(x) = x/5 - 10

Steps:

The inverse can be found algebraically by switching x for y and y for x in the equation. You must then isolate y.

[tex]f(x)=5x+10\\y=5x+10\\x=5y+10\\x-10=5y\\\frac{x-10}{5} =y\\[/tex]

So, [tex]f^{-1} (x)=\frac{x-10}{5}[/tex]

I Will brainlist who can answer this question please!!!​

Answers

The answers are
D) x^2 - 9, A) 8x - 600, C) 9, B) php1000, T) 10 and 45

Verify in the following whether g(x) is a factor of p(x)
(i). g(x) = x-2; p(x) = x⁴-x³-x²-x-2
(ii). g(x) = x+1; p(x) = 2x³+x²-2x+1​

Answers

[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]

Given that,

[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]

and

[tex]\rm \longmapsto\:g(x) = x - 2[/tex]

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

[tex]\rm \longmapsto\:p(2)[/tex]

[tex]\rm \:  =  \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]

[tex]\rm \:  =  \: 16 - 8 - 4 - 4[/tex]

[tex]\rm \:  =  \: 16 - (8 + 4 + 4)[/tex]

[tex]\rm \:  =  \: 16 - 16[/tex]

[tex]\rm \:  =  \: 0[/tex]

[tex]\rm\implies \:p(2) \: = \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]

[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]

[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]

and

[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]

Now, By using Factor Theorem, Consider

[tex]\rm \longmapsto\:p( - 1)[/tex]

[tex]\rm \:  =  \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]

[tex]\rm \:  =  \: - 2 + 1 + 2 + 1[/tex]

[tex]\rm \:  =  \: 2[/tex]

[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]

A = (b1 + b2) h / 2
I'm so confused, and i need to solve for h.

Answers

Step-by-step explanation:

Multiply both sides by 2/(b1 + b2) to isolate h and get

h = [2/(b1 + b2)] A = 2A/(b1 + b2)

9. Jerry's bedroom is square. He has a square desk that has an area of 1000 cm2. The area
of the bedroom is 16 times as large as the area of the desk. What is the side length of the
bedroom?

Answers

Answer: 126.49 cm [A VERY small bedroom]

Step-by-step explanation:

The area of the square bedroom is 16 times larger than Jerry's 1000 cm^2 desk. That makes his bedroom 16000 cm^2, It is square, so each side, x, is the same: x^2 = 16000 cm^2; x = 126.49 cm.

For reference, 126.49cm is 4.14 feet.

65 people paid $5 to go in a haunted house. They all went in, someone took their time to see the decorations and special effects. After 14 minutes half of them were outside waiting for the rest to finish. How many people are still inside? (HELP ME PLS AND I WILL PUT 5 STARS :)

Answers

Step-by-step explanation:

here's your answer

enjoy

Answer: 32.5

Step-by-step explanation: 65 divided by 2 ( 2 x 3 = 6 bring down the 5 so 2x2 = 4. Your remainder is 1 bit you can’t leave it like that so you add a extra zero put your decimal point so 32. (2x5 = 10 (remainder 0)




is my answer correct ??

pls check!!!


asap!



math geniuses!!

Answers

Answer:

(b) part is answer.

may it will help you.

gradient from 2 - 1/2y = 0​

Answers

Given :

2 - 1/2y = 0

To find :-

The gradient form .

Solution :-

The gradient form/ slope intercept form

y = mx + c ,

On converting ,

2 - 1/2y = 0 1/2y = 2 y = 2*2y = 4y = 0x + 4

A cube has six sides that are numbered 1 to 6. The sides numbered 1, 3, and 5 are yellow, and the sides numbered 2, 4,
and 6 are orange. What is the probability of rolling the cube and getting a yellow and even number?

Answers

Answer: C) 0

Explanation:

The yellow sides are 1,3,5 which are odd numbers. So it's impossible to get an even number that's a yellow side. That's why 0 is the answer here. A probability of zero represents cases when the event can never happen.

PLS HELP ME ASAP
NO LINKS
1.What is the probability of rolling an odd number on a 6 sided die
2.Eric and 3 friends took turns riding the Beast with each other at Kings Island. If they rode with all others exactly once, how many times did they ride it?

3. What is the area of a circle with a radius of 4mm? Use 3.14 for pi.

4. Find the median of the following data set.
6.2, -5.9, 2.4, 1.8, 8.7

5. What is the slope from (-1,2) to (2,-2)?

6. How many different ways can you write the letters a, b and c in order from left to right?

Answers

Answer:

1. 3/6 or 3 out of 6

2. 6 times

3. 50.24mm²

4. 2.4

5. -4/3

6. 6 i think, but i'm not positive on this one

have a wonderful day :)

Suppose that 12 inches of wire costs 60 cents at the same rate how many inches of wire can be bought for 25 cents

Answers

Answer:

5 inches

Step-by-step explanation:

60÷12=5 cents ( 1 inches of wire )

25÷5=5 inches

5) A positive plus a negative will (always, sometimes, never) be negative.
Give an example that proves your answer:

Answers

Hello logan693616!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

A positive plus a negative will (always, sometimes, never) be negative.

Give an example that proves your answer:

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

A positive plus a negative will sometimes be negative.

Suppose, we take a positive number whose value is greater than that of the negative number. While adding them, we'll take the sign of the greater number, which in this case is positive, so our answer will be a positive number. For example, +4 + (-3) = +1.Now, if we take a negative number which is greater than the positive number, the sum of the two numbers will be negative. For example, (-4) + 3 = -1.So, the answer can actually depend based on the value of the numbers used.Hence, our answer is ⇨ A positive plus a negative will sometimes be negative.

__________________

Hope it'll help you!

ℓu¢αzz ッ

PLEASE HELP DUE IN 30 MINUTES!!!
Shai has to bake a cake for a bake sale. The recipe calls for a quart of sugar. How many cups of sugar will Shai need?

A) 1.25 cups

B) 0.75 cups

C) 1.75 cups

D) 0.25 cups

Answers

Answer:

D

Step-by-step explanation: a cup is 4 quarts

The depth of water in a reservoir increases from 14m to 15.75m. Work out the percentage increase.

Answers

Answer:

It was a 12.5% water gain

Can someone please help me with this??

———————————————

What is the length of the hypotenuse (c)?

4

Or

6


Answers

Answer:

6

Step-by-step explanation:

The hypotenuse is the side opposite the right angle.

The side opposite the right angle is 6 m long

58ml : 1120ml : 104ml need answer asap!

Answers

Answer:

i dont know the answer sorry

Step-by-step explanation:

4 x cube + 20 X square + 33 X + 18 divided by X + 2
find remainder and quotient​

Answers


x+2
4x
2
+12x+9
4x
3
−20x
2
+33x+18



4x
3
−8x
2

0+12x
​2
+33x+18




12x
2
+24x

0+9x+18
9x+18

0+0



Thus, the quotient is Q(x)=4x
2
+12x+9 and the remainder is R(x)=0

5 hundred millions, 4 millions, 6 thousands, 2 tens
>
504,060,020 ?

Answers

Answer:

5 hundred millions, 4 millions, 6 thousands, 2 tens = 504,006,020

Step-by-step explanation:

504,060,020 > 5 hundred millions, 4 millions, 6 thousands, 2 tens

                                                                                      (504,006,020)

A company sets sales goals for employees each month.

At her current pace, how many items will Kristina sell in 28 days? Is she on track to meet the goal? Explain.
b. At his current pace, how many dollars worth of product will Jim sell in 28 days? Is he on track to meet the goal? Explain.

Answers

Answer:

A. Kristina will sell 294 items in 28 days if she stays on her current pace.

B. She is not on track to meet the goal.

Step-by-step explanation:

By doing the math she would only sell around 294 items by day 28 when she needs to sell around 400 to reach her goal. if she keeps this pace she won’t reach that goal unless she is able to bump up her weekly count by 2-5 items then she can either hit the goal or go over.

Other Questions
General question, Are there Any world war 2 tanks still in use today? Solve for x: 3x2 + 5=4 Sometimes its difficult to ask for forgiveness. where does the apostrophe go in this sentence? PLZ NEED ANSWER ASAP Read the article "Challenging Explorations."The 15th century to the 18th century was an age of exploration. Many people in Europe were searching for a better life with greater opportunities. The desire for a better life led many to journey across the ocean to find new land to settle. Many European explorers landed in what they called the New World, which would later be called North America. These explorations were filled with challenges.The first challenge faced by many explorers was money. They needed financial backing to fund the ships, cargo, and crew required to make such a long journey. The solution was royalty, and explorers would approach kings and queens to convince them to invest in their voyages. If the king and queen agreed, then the explorer would have the money needed to fund an expedition. In return, any lands discovered during the voyage were claimed by that country.The next step was to obtain a seaworthy ship. Many ships were built during the age of exploration, but not all could handle a trip across the Atlantic Ocean. New ship designs were created to suit long voyages. One such type was called a caravel, which was a small ship created for exploration in the 1400s. This type of ship was equipped with cargo space for voyages up to a year long. Caravels were also considered seaworthy because they could travel about 90-100 miles in a day.Once aboard, the explorers set sail and used maps to navigate through known territory. The maps were not useful once sailors were out of sight of land or in unknown territory. How would they navigate over the vast Atlantic Ocean without any land markers to guide them? This problem led to the invention of navigation equipment. Compasses have a magnetized metal needle that always points north. Sailors use them as a point of reference to tell if their ship is in the right position to move forward. In order to find their location, sailors used astrolabes, sextants, cross staffs, or quadrants to find latitude. With these tools, explorers were able to sail on to discover new lands.The finaland perhaps most difficultchallenge for many explorers was survival, as voyages could be long and tense. Maintaining supplies and finding land were important to prevent mutinies from occurring. Unfortunately, bringing supplies that would last the entire voyage led to another problem: scurvy. Many sailors died from the disease, as they ate preserved food at sea. To survive, sailors needed to obtain and eat fresh vegetables and fruits.When sailors and explorers arrived on land, they had already overcome many obstacles. While more challenges awaited them, explorers were able to disembark and realize that had reached the New World.What is the overall structure of this text? Cause and effect Chronological order Compare and contrast Problem and solution patulong po need kona po ngayun to Salamat Choose the grid reference number for the mine shown. A. 621333 B. 136233 PLEASE HELP ASAP!!! Under the UCC Article 2, if a buyer breaches a sale of goods contract, the seller gets specific remedies.(List 2 of these) how did location of mineral resources and the Rhine river help the Ruhr valley become a densely populated manufacturing region? Using the piling method, which of the following can be constructed frompolygons alone or discs alone?Check all that apply.O A. CylinderB. CubeC. Cone (including the vertex)O D. PrismE. Cone (not including the vertex)F. Pyramid (including the vertex)Anyone know this answer? Im stuck!! please help me and Thank you!!!!!!!!!! Seven large hamburgers are shared equally among twelve people at a dinner. Which of the following shows the amount of a hamburger that each person eats? [tex]3\sqrt[n]{x} 125[/tex] Write 3 ways you could ask for help for yourselfor a friend? Someone pls help me I will make you brain how objects are charged [i.e. friction, etc] How is a cruise ship like a cell? Name the organelles that have a similar function to the parts of a cruise ship. Ill give brainliest, thanks and 5 stars to the answer that stated all the organelles that are similar in function to the parts of a cruise ship. Triangle ABC is a right triangle what process provides the energy that allows crustal plates to move across the surface of the earth? Ionic bonds form between which two types of elements? Can you plssssssssssss help meCan you do plsssssssss help meeee A number cube is rolled.What is P(2)Enter the answer as a fraction, decimal, and percent in the boxes. Round each decimal and percent to the nearest hundredth.At