the sum of the first n terms of an arithmetic sequence is 242. If the first term is 12 and the last term is 42, find the value of n

badly need this rn ​

Answers

Answer 1

Answer:

Step-by-step explanation:

Sum of first n terms = 243

[tex]a_{1} = 12 \\\\l = 42\\\\S_{n} = \dfrac{n}{2}(a_{1}+l)\\\\\dfrac{n}{2}(12+42) = 243\\\\\\\dfrac{n}{2}*54=243\\\\\\n*27=243\\\\n=\dfrac{243}{27}\\\\n=9[/tex]


Related Questions


The amount of snowfall in November was 3 2/5feet. The amount of snowfall in December was 1 1/5feet.
How much more snowfall was there in November?
Write your answer as a mixed number in simplest form.

Answers

2 1/5

Step-by-step explanation:

3 - 1 = 2

2/5 - 1/5 = 1/5

2 + 1/5 = 2 1/5

Line /1 and line /2 are parallel line

Answers

Step-by-step explanation:

1=56⁰

2=56⁰

3=68⁰

4=68⁰

5=56⁰

6=112⁰

7=180-124 Ans=56⁰

8=68+56 Ans=124⁰

9=68⁰

10=112⁰

11=124⁰

12=56⁰

IT TOOK 15MINS mark me BRAINLIEST pls!

HELP!!!!! FAST!!!!! !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

37

Step-by-step explanation:

I don't know if this is totally correct

No. of pies donated by the cafeteria⇢9No. of pieces all the pies were cut into⇢8No. of pies that were baked in total⇢ x

ATQ,

★⤿ 8(x+9) ≥ 224

★⤿ x+9 ≥ 224/8

★⤿ x +9 ≥ 28

★⤿ x ≥ 28-9

★⤿ x ≥ 19

Hence , option A is correct ✓

5/6(-4 1/2)(-2 1/5) what is the answer

Answers

your answer is: 8.25

helppppppppppppppppppppppppppppppppppp

Answers

Answer:

so the answer is bar graph..

please help! i don’t understand!

Answers

Answer:

£0.00 probably is the answer

Answer:

7158

Step-by-step explanation:

Evaluate - (3 ^ - 5) * (3 ^ 3)

Answers

Answer:

1 / 3^2 = 1/9

Step-by-step explanation:

3^-5 = 1/3^5

(1/3^5) * (3^3) = 3^3 / 1/3^5 = 3^3 / 3^5 = 1/3^2

The value of the given expression is 1/9 .

Given,

[tex](3^{-5}) (3^{3} )[/tex]

According to the power rule,

[tex](a^{m}) (a^{n} ) = a^{m + n}[/tex]

Now,

[tex](3^{-5}) (3^{2}) = 3^{-5 + 3}\\ \\ (3^{-5}) (3^{2}) = 3^{-2}[/tex]

[tex](3^{-5}) (3^{2}) = 1/3^{2}[/tex]

[tex](3^{-5}) (3^{2} ) = 1/9[/tex]

Thus with the power rule answer will be 1/9.

Learn more about power rule,

https://brainly.com/question/23418174

#SPJ6

what is 7/9÷1/3 plz help thanks​

Answers

Answer:

[tex]2\frac{1}{3}[/tex]

Step-by-step explanation:

Alrighty, when dividing fractions there is a trick called "keep, change, flip".

Step 1: Keep- Keep the first fraction the same

[tex]\frac{7}{9}[/tex]

Step 2: Change- Change the division sign to a multiplication sign

[tex]\frac{7}{9} *[/tex]

Step 3: Flip- Flip the second fraction (the reciprocal)

[tex]\frac{1}{3} --->\frac{3}{1}[/tex]              [tex]\frac{7}{9} * \frac{3}{1}[/tex]

Then, you multiply straight across

[tex]\frac{7}{9} * \frac{3}{1} = \frac{21}{9}[/tex]

Now, we simplify

[tex]\frac{21}{9} = \frac{7}{3} = 2\frac{1}{3}[/tex]

Can someone please help me I will mark u brilliant

Answers

Answer:

the correct answer is 7/20

Prices are going up in the ratio 6:5 Write a 60% decrease as a ratio.



HELP PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

To Decrease an amount in a given Ratio, we need to multiply by a fraction that is less than one. For example, in scaling down a recipe for four people into a recipe for 3 people, we would use the ratio of 3 : 4 which means we would multiply all our recipe amounts.

Which is the algebraic expression for "two times the sum of a number and four'?

*Someone save me.*​

Answers

Answer:

2(x+4)

Step-by-step explanation:

The sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second. What are the numbers?

Answers

The numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the number are x, y and z

Then,

x + y + z = 118  ...(1)

y = x - 8   ...(2)

z = 3y  ....(3)

After solving the above three equation by plugging the value of z in the equation (1) then solve this equation with (2) we will get:

x = 30

y = 22

Then z from the equation (3):

z = 3(22) = 66

Thus, the numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

which could be the function graphed below ??

Answers

Answer:

D  [tex]\sqrt{x+4}[/tex]

Step-by-step explanation:

A watch loses 15 seconds every day how many minutes will it lose in 2 weeks.

Answers

2 weeks = 14 day

14 * 15 = 210 seconds

210/60=3 hours and 30 minutes or 3.5 hours.

h
A. 2x – 1 + 3x = 0
B.
5.2 -1=0
1) How can we get Equation B from Equation A?
Choose 1 answer:
Add/subtract the same quantity to/from both sides
B
Add/subtract a quantity to/from only one side
Rewrite one side (or both) by combining like terms
Rewrite one side (or both) using the distributive property

Answers

Answer:

A

Step-by-step explanation: :}

Help help help help help help

Answers

Answer:

Step-by-step explanation:

A' (- 3 + 4, 4 + 2) = (1, 6)

B' (- 1 + 4, 2 + 2) = (3, 4)

C' (- 5 + 4, 0 + 2) = (-1, 2)

pamelas age is three times jiris age the sum of their age is 32 what is jiris age

Answers

Answer:

Jiris age = 8

Step-by-step explanation:

Jiris = j

Pamelas Age = 3j

Pamelas's age + Jiris age = 32

3j + j = 32

4j = 32

j = 32 / 4

= 8

Jiris age = 8

Pamelas age = 3 times Jiris's

Pamelas age = 24

Answer:

8 years old.

Step-by-step explanation:

P = 3I

P + I = 32

Plug P = 3I into the second equation:

3I + I = 32

I = 32/4 = 8

So Jiris's age = 8.

Which of these situations can be represented by this graph?

Answers

Answer:

Step-by-step explanation:

Solve the equation for x:
4x2 + 15x = 4
Show steps please

Answers

4 x 2 + 15x = 4
First multiply the 4 and 2
8 + 15x = 4
Next, subtract the 8 on both sides
15x = -4
x=3.75

Use a protractor to measure the
angle. Then identify it as either
acute, right, obtuse, or straight.
Name
Size

Answers

Answer:

Straight angle 180 degrees

what would reason 4 and 5 be??

Answers

Step-by-step explanation:

These 2 are given at the top:

∠DEG≅∠FGE

DE≅GF

Theres also this:

EG≅GE

because they are the same side.

I'm not sure what the dropdown options you get are, but this is how I would answer.

ΔDEG≅ΔFGE because of SAS congruency

DG≅EF because the triangles are congruent, and therefore all corresponding sides and angles are congruent

brainliest? :)

free 100 xp answer with fav movies pls for 100 free xp , 100 free xp always is given by algebros every day. Please do enjoy this plentiful amount of free xp I care about how you are feeling introduce yourself with telling me about your fav movie and why it is your fav. Enjoy! Please answer

Answers

Step-by-step explanation:

My favorite movie would have to be the Pirates of the Caribbean collection. Captain Jack sparrow aka Johnny Depp is is just great at his character.

Answer:

FREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XP

Step-by-step explanation:

You are given a loaded six-sided die. Such a die can produce any integer from 1 to 6. The die rolls a 4 three times as often as any other number. i. What is the probability of getting a 4

Answers

i would say 6 bc it’s a die of 6 and u get it 6 times

Flip a coin three times. You will win $2 for each heads. What is the expected winning (expectation of your winning)

Answers

The three coins could land any these 8 ways:

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

P(3 heads) = 1 way out of 8  or 1/8

P(2 heads) = 3 ways out of 8 or 3/8

P(1 head) = 3 ways out of 8 or 3/8

P(0 heads) = 1 way out of 8 or 1/8

x=Winnings  P(x)  E(x)=x�P(x)

    $3      1/8      $.375

    $2      3/8      $.75

    $1      3/8      $.375

  -$10      1/8     -$1.25

---------------------------

Total expectation =   $ .25

Select the number line that shows that two opposite numbers have a sum of 0.

Answers

[tex]Hiya![/tex]

Sokka is here to help!

I believe it is A..

Hopefully, this helps you!!!

[tex]Sokka[/tex]

Answer:

Option B is correct.

Step-by-step explanation:

The question said "Opposite numbers and the sum of those numbers is 0". Let's see if Option B has these abilities.

3 - 3 = 0 ✔Are they opposites of each other? ✔

=> Therefore, Option B is the correct answer.

Given the functions,
f(x) = x^3 - 4x^2 + 5
g(x) = x^2 + 6x - 7
h(x) = x + 6
Find f(g(-3)).

Answers

Answer:

f(g(- 3) ) = - 5115

Step-by-step explanation:

Evaluate g(- 3) then substitute the value obtained into f(x)

g(- 3) = (- 3)² + 6(- 3) - 7 = 9 - 18 - 7 = - 16 , then

f(- 16) = (- 16)³ - 4(- 16)² + 5

        = - 4096 - 4(256) + 5

        = - 4096 - 1024 + 5

        = - 5115

Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist. how many miles does the second cyclist bike in 45 mins?

Answers

Answer:

Step-by-step explanation:

45 minutes is 3/4 hr.

(3/4)(12 + b) = 9 + 3b/4 miles

scientific form of 47500000000​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Scientific notation for above value is ~

[tex]4.75 \times 10 {}^{10} [/tex]

[tex]Hello[/tex] [tex]There![/tex]

First, let's make sure our coefficient is between 1 and 10:

4.75

All numbers in scientific notation look like this:

___x10^- (some number)

4.75x10^

Now, the number is large, so the exponent is positive.

So we move the decimal place some number of units. We move the decimal place 10 units, so the exponent is 10:

4.75x10^10

Hope this helps!

~Just a felicitous girlie

#CarryOnLearning

[tex]SilentNature[/tex]

Independent Task:
Directions:Write the digit in it's place.

1.) 0.34600
______tenths
______thousandths
______hundred thousandths
______hundredths

2.) 20.00642
_______thousandths
_______hundredths
_______hundredths thousandths



Answers

Answer:

1. tenths = 0.3

   thousandths = 0.346

   hundred thousandths = 0.34600

   hundredths = 0.35

2. thousandths = 20.006

    hundredths = 20.01

   hundred thousandths = 20.00642

Step-by-step explanation:

Hope it helps

The P(A) = 0.4 and the P(B) = 0.32. What is P(A and B)? O a. 0.272 b. 0.128 O c.0.08 O d. 0.72​

Answers

Answer:

b

Step-by-step explanation:

the answer is no.b as P(A)*P(B)

Other Questions
(100pts) Do women and men in our society get the standards for the way they think they should look? Write a paragraph of 10 sentences. Support your opinions with details, examples, or anecdotes from your own experience. What are the main arguments of integrated cognitive antisocial potential -2(x-2) - 4x = 3 (x + 1) - 9x what dose x equal (9x+23) +(10x+6) Which one is correct and why? (Grammatically)if someone sent me a pic of math homework should I say:1. That's hard2. It's hardIf someone sent me a pic of new dress should I say: 1. That's hot2. It's hot plzz explain how it is 66 m i know that distance =speed time so how it is 66 m not a0.4 and if there us another rule plz explain like if u day that 1/2 speed time plz explain why u used 1/2 or when do I use the 1/2 rule 7 inches 6 inches and 6 inches make a triangle? Kristen owns 61 shares of Prince Waste Collection and 45 shares of Nar Heating/Cooling. Nar Heating/Cooling is worth $7. 88 per share and Prince Waste Collection is worth $16. 59 per share. If Kristen sells all of her stocks, how much money will she receive? a. $657. 39 b. $1,366. 59 c. $1,227. 23 d. $1,296. 91. Towns A, B, C, and X are located along a straight highway. Town B is between A and C, and the distance from A to C is41 miles. BC is 2 miles more than twice AB.Town X is between A and B, 6 miles from A. Find XC.a. 13 milesc. 41 milesb. 28 milesd. 35 miles The three phases of alcoholism include all of the following EXCEPT:A. AbuseB. DependenceC. Social isolationD. Addiction Why are there so many negative stereotypes of aging? What can be done about them? Help plzdlkkdkkdkdnnzkzkzkskskeme The ratio of boys to girls in a class is 3:5. There are 40 students in class.How many students are boys? 60 children went to the beach.. 4/5 of them could swim. How many 60 children went to the beach. children could not swim? HELP!!! I WILL GIVE BRAINLIEST!!!!1.Find f(4) if f(x) = (1/2)x + 132.Find f(5) if f(x) = (3/5)x - 103.Find f(-1) if f(x) = x2 + 74.Find f(2) if f(x) = 3x3 -12x2 The control center of human body is* 1/1 heart brain liver We have ________ sense organs* 1/1 6 4 5 Which energy we get by burning of fuels* 1/1 Solar Heat Light Sources of energy that can be used again and again will never run out* 1/1 Non renewable energy Renewable energy Running water What is called structure that build on rivers to get electricity* 1/1 Dam Check dam Tunnel Which nutrients protect us from diseases* 1/1 Carbohydrate Vitamin and Mineral Protein When is the best time of the day to water your lawn* 1/1 Early morning and late evening Afternoon Night Which of these ways to wash the car saves the most water?* 1/1 Wash it in the driveway with the garden hose Drive it into the lake Take it through a car wash that recycles water Why do we keep food and vegetables in refrigerator?* 1/1 why is it wrong to get treatment from dhamis and jhakris? 6. Earth's crust is part of which of Earth's layers?O A. The lithosphereOB. The asthenosphereO C. The lower mantleO D. The upper mantle Solve the given equations. PLEASE show your work. Choose if the equation has infinite many solutions or no solution. It can have a solution -2(x + 4) + 9x = 4 - 7x Which fraction is equivalent to 9/12