What is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8.

Answers

Answer 1

Answer:

[tex]a_{37}=249[/tex]

Step-by-step explanation:

A sequence that has a common difference is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

n = 37a₁ = -39d = 8

Plug those into the formula:

[tex]a_{37}=-39+(37-1)8[/tex]

Then solve:

[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]


Related Questions

Solving inequalities


3n + 8 < 5

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.  Inequality Form:

n < -1

My frinds the answer is N < - 13n + 8 < 53n + 8 - 8 < 5 - 83n < 5 - 83n < - 33n  <   -3   3         3n  <  -3        3n < -1 x 3       1 x 3N < - 1

GEOMETRY PROOFS!
Given: RA≅RE; EC≅AC
Prove: REC ≅ RAC

refer to attachments
WILL GIVE BRAINLIEST! PLS HELP!

Answers

From the given figure ,

RECA is a quadrilateral

RC divides it into two parts

From the triangles , ∆REC and ∆RAC

RE = RA (Given)

angle CRE = angle CRA (Given)

RC = RC (Common side)

Therefore, ∆REC is Congruent to ∆RAC

∆REC =~ ∆RAC by SAS Property

⇛CE = CA (Congruent parts in a congruent triangles)

Hence , Proved

Additional comment:-

SAS property:-

"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)

also read similar questions: Complete this proof. Given: EC AC, DB AC, ∠A = ∠F Prove: ΔMDF ∼ ΔNCA..

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Consider the proof. Given: Segment AB is parallel to line DE. Prove: AD/DC = BE/EC What is the missing statement in Step 5? A.) AC = BC B.) AC/DC = BC/EC C.) AD...

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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST

Answers

Answer: D (n> 8/ 3 )

3a-28-7a+10a

Someone PLEASE HELP

Answers

Answer:

6a - 28

Step-by-step explanation:

combine like terms

3a - 28 - 7a + 10a

3a - 7a + 10a = 6a

have a lovely day :)

Answer:

Step-by-step explanation:

the steps are on the pic

symbolab

tiger-algebra

and

geteasysolution

aregoof for math

Determine the error(s) in the problem below and use mathematical language
from module 2 to explain and answer correctly.

Answers

Step-by-step explanation:

error is in ∆ABC =~ ∆RST

because it is,

∆ABC =~ ∆RTS or ∆STR

because,

AB = RT

BC = TS

CA = SR

hope this answer helps you dear! take care.

The error is in labelling the triangles.

What are triangles?

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.

Given are two ABC and RST

Since, Δ ABC ≅ Δ RST

That gives,

AB = RS

BC = TS

CA = RT

In figure,

AC has been equated to RS, which is wrong or incorrect because the corresponding side of AC is RT

The correct labelling will be

AB = RS = 5

BC = TS = 5

CA = RT = 5.5

Hence, The error is in labelling the triangles.

For more references on triangles, click;

https://brainly.com/question/2773823

#SPJ2

Water drains from a 60 gallon bath tub at a constant rate. It empties in 5

minutes. What is the rate?

Help me pls

Answers

Answer:

-12 gal / min

Step-by-step explanation:

-60/5=-12

how can i show the value that 1/10 of 0.5

Answers

Answer:

[tex]\frac{1}{10} * 0.5 = 0.05[/tex]

Step-by-step explanation:

The problem asks "what is the value of _____ of _______"

Step 1: Know The word "of" means to multiply.

So you just need to multiply the first number by the second number.

Example:

The value of 1/6 of 4 is 1/6 * 4 = 2/3.

someone please help me

Answers

i think it’s the last one

A leaky pipe drips 2 fluid ounces of water per hour. How many cups of water does it leak in 2 days? Remember that 8 fluid ounces = 1 cup

Answers

Answer:

12 cups

Step-by-step explanation:

There are 48 hours in two days.

48 · 2 = 96 ( 2 being fluid ounces per hour )

96 ÷ 8 = 12 ( 8 being fl oz in each cup )

I hope that this helped!!!

A TV has a listed price of $771.95 before tax. If the sales tax rate is 9.25%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.​

Answers

Answer:

$843.36

Step-by-step explanation:

:))

Please help. I just don’t feel like doing it rn

Answers

Answer:

   mm

Step-by-step explanation:

Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per miles driven. How much would a taxi ride cost if Stella is riding for 2 miles? How much would a taxi ride cost that is m miles long?

Answers

Answer:

$ 6.50

Step-by-step explanation:

Based on the given conditions, formulate 3+2 × 1.75

calculate the first two terms 3+3.5

calculate the first two terms 6.5

Answer: 6.5

How to find the equation of a line.

Answers

Answer:

Step-by-step explanation:

1. Identify the slope.

2. Identify the point.

3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

4. Write the equation in slope-intercept form.

can i have help please

Answers

(y + 1)^3 would just be dividing the two

If you want it completely simplified, then it’s the following:

(y + 1)(y + 1)(y + 1)

= y^2 + y + y + 1 (y + 1)

= y^2 + 2y + 1 (y + 1)

= y^3 + y^2 + 2y^2 + 2y + y + 1

= y^3 + 3y^2 + 3y + 1

Is the following number rational or irrational?
-0.32
Choose 1 answer:
Rational
B
Irrational

Answers

Irrational I think I have to seee and do rmmarj

How do I simplify (9-2i)-(4-8i)

Answers

Answer:

20-80i

Step-by-step explanation:

20 - 80i

I think the minus symbol is meant to be a multiplication one

because if it was subtraction, it would be impossible

Solve for j.

2 − 2j = 14

j =

Answers

Answer:

-6

Step-by-step explanation:

i hope this helps

Answer:

j=6

Step-by-step explanation:

Find the slope of line 2, which is parallel to line 1. Line i goes through the points
(-13, -6), (7, 15).

Answers

(-13, -6), (7, 15) = 1.05

Equation: y = 1.05x + 7.65.

The entered points belong to an increasing, linear function.

Answer:

m = rise / run = 21/20, or m = 1.05

Step-by-step explanation:

If the lines are parallel, their slopes are identical.  So we can find the slope of line 1 and know that it's also the slope of line 2.

From (-13, -6) to (7, 15), the x-component increases by 20 units from -13 to 7.  Thus, the "run" in m = rise / run is 20.  Likewise, the "rise" is 21.

Thus the slope in question is m = rise / run = 21/20

if a man travels at an average speed of 122km per hour how far will he travel in 3 hours and 45 minutes​

Answers

Convert 3h and 45 min to hours so it will be 3.9 hours

Then say:
Distance = speed ✖️time
= 122 km/h ✖️3.9h
=475.80 km
He will travel 475.80 km

Hope this helps ;)

What are the domain and range of f(x) = (one-sixth) Superscript x + 2?

domain: Left-brace x vertical-line x greater-than negative one-sixth right-brace; range: {y | y > 0}
domain: Left-brace x vertical-line x greater-than one-sixth right-brace; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > –2}

Answers

The domain and range of the function is domain: {x | x is a real number}; range: {y | y > 2}

Given the exponential function expressed as;

[tex]f(x)=(\frac{1}{6})^x + 2[/tex]

The domain of the function will be the input value "x" for which it exists. For the function given, it exists for any value of "x".

Hence the domain of the function exists on all real numbers. Hence the domain in set notation is domain: {x | x is a real number}

The range of the function will be the output value "f(x)" for which it exists. For the function given, it exists for any value of f(x) greater than 2.

Hence the range of the function exists on any value of f(x) greater than 2. Hence the range in set notation is domain: {y | y >2}

Learn more here: https://brainly.com/question/24041834

Answer:

The answer is C on edge

Step-by-step explanation:

EASY POINTS
2+2=?
4+4=?
6+6=?

Answers

Answer:

Below

Step-by-step explanation:

2+2 = 4

4+4= 8

6+6=12

You are doing chores to earn your allowance. For each chore you do, you earn $5. You are saving up to buy a $100 lego set. How many chores would it take you to earn $100?

Answers

Answer:

It would take 20 chores.

Step-by-step explanation:

1 chore = $5

=> 1 x 20 = $100

=> 20 chores = $100

Therefore, it would require me 20 chores to save $100 and buy that Lego set.

Hoped this helped.

Thomas wants to buy a new TV for
$899. The city tax is 7%. What will
his final price be after tax is added?

Answers

The final price will be $951.93

Step by step explanation:

%7 of 899 is 62.93.

889 + 62.93 = 951.93

Hope this helps!! :)

Answer:

$961.93

Step-by-step explanation:

7% can also be written as .07. If you multiply .07 by 899 you get 62.93. This is the tax. If you add that to 899 you get 961.93.

Pls help me with this, tyyy!

Answers

Answer:

Input : 12

Output : -48

Step-by-step explanation:

Hope it helped

Simplify the expression.​

Answers

Step-by-step explanation:

since all base numbers have the same exponent, we can combine the base numbers first and then apply the exponent :

(12×45×50)^(1/3) = 27000^(1/3)

and remember what a 1/... exponent means : it means the root of the ... degree.

so, here we need a cubic root or a root of the third degree

[tex] \sqrt[3]{27000} = 30[/tex]

Jason has sixteen books and fifteen magazines in his library. He bought several books at a yard sale over the
weekend. He now has ninety-four books in his library. How many books did he buy at the yard sale?

Answers

Answer:

48 books

Step-by-step explanation:

you would take away the 15 magazines because that doesn't matter.you would put 94 books on top first and then subtract 16 books to thatthen putting that problem together you should get 48

Yes or No

Please answer

Answers

yes yes no

good luck

During a vote, 2,400 voters were divided into 4 large groups and each large group was divided into 6 small groups. How many voters were there in each small group?

Answers

2400/4 = 600
600/6 = 100

100 in each small group.

Someone plz help me I don’t understand and plz explain :(

Answers

Answer:B.27

Step-by-step explanation:

If right please mark as brainly

Complete the inequality statement.

1 1/2 ft ___ 16 in.

A. >

B. <

C. =

Answers

Answer:

a.>

Step-by-step explanation:

because :-

11/2 ft= 5.5 ft

5.5ft =66 in so 66in>16in

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