Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.

Answers

Answer 1

Answer:

13 = 81 x - 89

Step-by-step explanation:

Answer 2

Answer:

81x-79

Step-by-step explanation:

I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.

We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.

=(-3x+5)+(7x-7)*12

=(-3x+5)+84x-84

=81x-79

Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)


Related Questions

The degree measure of each exterior angle of a regular octagon is represented by the expression 7x - 4. SOLVE FOR X.​

Answers

Answer:

x = 4/7

Step-by-step explanation:

7x - 4

7x = 4

x = 4/7

-4/4 plus 160 percent plus 1/5

Answers

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

This is a multi-part question you will refer back to this and other finished parts to help answer this and future questions

In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following Johnny was asked how long it will take the population to reach 1/2 of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a
Johnny was asked how long it will take the population to reach
complete sentence) Please help.

Answers

The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.

The given parameters are:

[tex]\mathbf{a =10000}[/tex] --- the initial population

[tex]\mathbf{r =0.3\%}[/tex] -- the declining rate

Population are always modelled using exponential function.

This is represented as:

[tex]\mathbf{y = a(1 - r)^x}[/tex]

Where y represents the population in x years.

So, we have:

[tex]\mathbf{y = 10000(1 - 0.3\%)^x}[/tex]

[tex]\mathbf{y = 10000(1 - 0.003)^x}[/tex]

[tex]\mathbf{y = 10000(0.997)^x}[/tex]

When the population reaches half, then y = 5000.

So, we have:

[tex]\mathbf{5000 = 10000(0.997)^x}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = 0.997^x}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^x}[/tex]

Apply law of logarithm

[tex]\mathbf{log(0.5) = xlog(0.997)}[/tex]

Make x the subject

[tex]\mathbf{x = log(0.5) \div log(0.997)}[/tex]

[tex]\mathbf{x = 230.7}[/tex]

This means that the population will become half the original population in 230.7 years.

The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.

Read more about exponential function at:

https://brainly.com/question/11487261

cos135° =

A.√2/2
B.-√2/2
C.-1/2

Answers

we have cos135° = -√2/2

so B is the correct answer

ok done. Thank to me :>

Question is atttached below

Answers

Answer:

  A.  20·60

Step-by-step explanation:

The product of force and distance is ...

  [tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]

Rachel withdraws $19 from her bank account once each day for three days. What integer represents the change in the amount in the account? Find the integer that would represent the change in the amount in the account if Rachel deposits $19 into her bank account once each day for three days.

Answers

Answer:

How much did she start with tho???

Step-by-step explanation:

an electrician has 4.1 meters of wire.How many strips of 7 tenths can be cut?and how much wire will be left over?

Answers

If we’re talking about tenths, it would be .5 meters, with .6 meters of wire left over

0.5 meters per strip
0.6 meters left over

Ping chooses four numbers.
The mode of these four numbers is 8, the range is 7 and the mean is 11.
Find Ping's four numbers.

Answers

Hello the answer is
8,8,15,13
I hope this helps

3. drinking 8 glasses of water a day is good for your health. if each glass of water is equivalent to 148 mL, how many liters of water you need to consume everyday.

Answers

Answer:

pap

Step-by-step explanation:

papi

Answer:

1184 mL (148×8)= 1.184 liters

F(4p + 3) = 8 - 5(4p + 3)

Answers

EQUATION

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

[tex]\large\bold{Equation:}[/tex]

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

[tex]\large\bold{Solution:}[/tex]

Let's solve for f

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

1st step: Factor out variable f

[tex]\large\sf{F(4p+3)=−20p−7}[/tex]

2nd step: Divide both sides by 4p+3

[tex]\large\sf{ \frac{F(4p + 3)}{4p + 3} = \frac{ - 20p - 7}{4p + 3} }[/tex]

[tex]\large\sf{F = \frac{ - 20p - 7}{4p + 3} }[/tex]

[tex]\large\bold{Answer:}[/tex]

[tex]\large\tt{F = \frac{ - 20p - 7}{4p + 3} }[/tex]

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

How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!

^^

i need help please ill give u brainlist to who ever answer

Answers

They had 36 dollars

solve pls brainliest

Answers

Answer : $960 after the first 6 years ; $8960 total

Answer:

I=Prt

(I= interest

P=principle amount

r=rate per year in decimal form

t=time period)

●I = Prt

I = 8000×(2/100)×6

I = 8000×0.02×6

I =$960

BRAINLIST PLS

Use point-slope form to write the equation of a line that passes through the point
(-6,3) with slope – 2.

Answers

Answer:

y = -2x - 9

Step-by-step explanation:

Slope = - 2

Using the slope = -2 and the point (-6, 3) substitute into y= mx + b and solve for "b"

y = mx + b

3 = -2(-6) + b

3 = 12 + b

3 - 12 = b

-9 = b

The equation of the line is y = -2x - 9

Write each expression without using exponents.
a.
[tex]5 \frac{2}{3} [/tex]
b.
[tex]4 - \frac { 3}{2} [/tex]

Answers

☆Answer : A.)

5⅔ = ...

= (3 × 5 + 2)/3

= (15 + 2)/3

= 17/3

[tex] \: [/tex]

B.)

4 - 3/2 = ...

= 4 - 1,5

= 2,5 <==> 2½

[tex]5 \frac{2}{3} [/tex]

[tex]=\frac{5 \times 3 + 2}{3} [/tex]

[tex] = \frac{15 + 2}{3} [/tex]

[tex] = \frac{17}{3}[/tex]

[tex]4 - \frac{3}{2} [/tex]

[tex] = \frac{4}{1} - \frac{3}{2} [/tex]

[tex] = \frac{4 \times 2}{1 \times 2} - \frac{3}{2} [/tex]

[tex] = \frac{8}{2} - \frac{3}{2} [/tex]

[tex] = \frac{8 - 3}{2} [/tex]

[tex]= \frac{5}{2}[/tex]

[tex] = 2 \frac{1}{2} \: \: \: or \: \: \: 2,5[/tex]

this graph shows how much lisa earns babysitting compared with thge number of hours she works

Answers

Answer:

For every hour she earns 12$

Step-by-step explanation:

If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!

PLZ HELP ASAP! I'LL GIVE BRAINLIEST AND POINTS JUST HELP PLZ
plz no links

Divide these numbers in scientific notation.
(9.6*10^-8) divided by (3*10^-7)

Answers

Answer:

3.2 *10^-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac{9.6*10^{-8}}{3*10^{-7}}==\dfrac{9.6}{3}*10^{-8-[-7]}\\\\\\= 3.2*10^{-8+7}\\\\\\=3.2*10^{-1}[/tex]

Mom bought a bag of 12 apples. She discovered that 1/6 of the apples were spoiled. How many apples were spoiled? How many unspoiled apples does Mom have?​

Answers

2 apples were spoiled and 10 were unspoiled

Plzzzz help meeeee plzzzz

Answers

Answer:

200

Step-by-step explanation:

marcus piano teacher wanted him to practice 1.5 hours before she saw him on friday afternoon he practiced 18 minutes on monday 23 minutes on tuesday 16 minutes on wednesday and 13 minutes on thursday. how long did he have to practice on friday morning to meet his goal? what fraction of an hour is that? pls help 15 if correct

Answers

he would have to practice 20 minutes on friday

18 + 23 + 16 + 13 = 70

1.5 hours = 90 minutes

90-70 = 20 minutes

2/9

what is the answer help

Answers

Answer:

$29.88

Step-by-step explanation:

$12.45 / 5

$2.95 each pound

2.95 * 12

29.88

what is? -6 = x + 6

this is one step equation addition / subtraction

Answers

[tex] \: \: \: \: \: [/tex]

x = - 12

refer to the attachment

refer to the attachmenthope it helps

[tex]\sf \longmapsto-6 = x + 6[/tex]

Flip the equation

[tex]\sf \longmapsto \: x+6=−6[/tex]

Subtract 6 from both sides

[tex]\sf \longmapsto \: x+6−6=−6−6[/tex]

[tex]\sf \longmapsto \: x=−12[/tex]

[tex] \boxed{ \sf \: x=−12}[/tex]

Step 4: Plot the y-intercept.

Answers

Plotting the y-intercept = b of the equation y = mx + b.
Plot the y-intercept. The point will be (0, b).
Find the slope=m of the equation y = mx + b.
Make a single step, using the rise and run from the slope. ...
Then:
Connect those two points with your line.

How many different pairs of 2-digit numbers multiply to give a 3-digit number with all digits the same? (A) 5 (B) 6 (C) 7 (D) 8 (E)S​

Answers

Answer:

a

Step-by-step explanation:

po ang tamang sagon po

Find x. please help me!!

Answers

Answer:

I want to say B.

Step-by-step explanation:

Which one of the quotients is correct?

Answers

Answer:

B

Step-by-step explanation:

B is correct 24r11 one ................

If 'r' represents remainder then the correct answer is option A. The quotient is 24 & the remainder is 13.

Steps are in the attachment.

____

RainbowSalt2222 ☔

(I’m having trouble with this question, it would be greatly appreciated if I could have some help, thank you)

What is the equation of a line that is parallel to – 2x + 3y = -6 and passes through the point (-2, 0)?

Answers

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

you need to know the slope of the line -2x + 3y = -6 because parallel lines have the same slopes

let's put the equation in y=mx+b format (slope-intercept format)

-2x + 3y = -6

add 2x to each side to get:

3y = 2x - 6

divide each side by 3 to get:

y = 2/3x - 2

the equation now shows us the slope is 2/3 and the y-intercept is (0,-2)

now we use y=mx+b again and use the point (-2,0) and the m=2/3 to get the y-intercept ('b' value) of the equation that is parallel:

0 = 2/3(-2) + b

0 = -4/3 + b

b = 4/3

equation would be:

y = 2/3x + 4/3

what is the correct way to label the entire line segment shown​

Answers

Answer:Yea looks like you have it already C

Step-by-step explanation:

Solve the simultaneous equations
3x - y = 5
-x + y = -1

Answers

Answer:

x= 2, y= 1

Step-by-step explanation:

3x -y= 5 -----(1)

-x +y= -1 -----(2)

(1) +(2):

3x -y -x +y= 5 -1

2x= 4

Divide both sides by 2:

x= 4 ÷2

x= 2

Substitute x= 2 into (2):

-2 +y= -1

y= -1 +2

y= 1

A:B is equivalent to 11:5.

Answers

Answer:

yeeeeee

Step-by-step explanation:

Which term of the arithmetic sequence 1, 5, 9, 13, ... is 169?
It is the
th term.

Answers

Answer:

43rd term

Step-by-step explanation:

Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.

So, (169-1)/4=42.

This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!

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