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

What is the CONJUGATE of the expression -3 - 4i ?
What is the absolute value of -3 - 4i?
with calculations

Answers

[tex]\text{Conjugate of -3-4i is -3+4i}\\\\|-3-4i| = \sqrt{(-3)^2 + (-4)^2} = \sqrt{9+16} = \sqrt{25} =5[/tex]

1 4/7 divided by 3 2/3

Answers

[tex] \frac{3}{7} \\ \\ in \: \: alternate \: \: form \\ \\ 0.428571[/tex]

hope it helps

see the attachment for explanation

help meeeee points on the line help

Answers

Answer:

4(7+6)

Step-by-step explanation:

first find GCF

prime factorize

28= 2*2*7 24=2*2*2*3

only common factor is 2

there are at least 2 2s in each

apply

4(7+6)

Find the distance from the point A(2,−1) to the line y = −x+4. Round your answer to the nearest tenth.

Answers

Answer: um i think 300

Step-by-step explanation:

which of the following values are solutions to the inequality 9≤3x+4​

Answers

Answer:

x≤5/3

So any number at 5/3 or above is a solution

Step-by-step explanation:

Subtract 4 on both sides:

5≤3x

Divide 3 on both sides

x≤5/3

So any number at 5/3 or above is a solution

Hope this helps!

What is the value of a if 5a = 1/125

(It’s not 1/625)

Please answer!!

Answers

Answer:

a = -3.

Step-by-step explanation:

5^a = 1/125

5^3 = 125

so 5^-3 = 1/125

Answer:

a = -3

Step-by-step explanation:

5^a = 1/125

Rewriting 1/125 as 1/5^3 = 5^-3

5^a = 5^-3

a = -3

Help pls ?? I just need this one question ):

Answers

Answer:

9 should be the greatest common factor. (I think) because 3b² =9b

12b⁴=48b

Answer:

3*(4b^4-b^2)

Step-by-step explanation:

you are looking for the greatest number who can be divided by the number(3) and the other number(12) , the greates common factor here is 3

and then take out the 3

so 3*(4b^4-b^2)

Perform the indicated operation.
-274 -9
I need help

Answers

ItxAlex

Hope It Helps

A L E X

Answer:

-274 or just 274? I can't tell if u put "-" to pinpoint the question or if it's a negative number

Cual es el decimal de 19,87×7,8

Answers

Answer:

92568

Step-by-step explanation:

I think............

Graph the function f(x)=1/2x+1

Answers

Answer:

See attached graph.

Step-by-step explanation:

3-(1/3) to the fourth power

Answers

Answer:

i dint know about you but i got 2.98765432099

Step-by-step explanation:

im not sure if in right though

If any doubt please comment what you need clarification on.

Rate BRAINLIEST

Evaluate the expression:

2/3-1/4+(-5/6)

Answers

Answer:

[tex] \\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6} [/tex]

[tex] \\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6} [/tex]

[tex] \\ = \frac{8 - 3 - 10}{12} [/tex]

[tex] \\ = \frac{8 - 13}{12} [/tex]

[tex] \\ = \frac{ - 5}{12} [/tex]

What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters and a base diameter of 4 centimeters? Round to the nearest tenths place.

Answers

Answer:

200 cubic centimeter

Step-by-step explanation:

Answer:

201.1 cc

Step-by-step explanation:

r = d/2

v = πr^2 h

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

r = 4/2

r = 2

v = π * (2^2) * 16

v = 3.14159 * 4 * 16

v = 201.06176

Rounded

v = 201.1 cc

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

note:

if 3.14 is used for π

v = 200.96

which rounds to

v =201.0

A store-bought 400 toys at a cost of ​$10 each. The store sold all the toys at a percent markup of 30%. Find the total selling price.

Answers

Answer:

Step-by-step explanation:

38+105= 143, 39+104=143, and you will find then adding the numbers

Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is the least number of lawns that he can cut and buy the computer? Which inequality represents the problem?​

Answers

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

The equation representing the given statement is ~

[tex]50x + 330 \geqslant 820[/tex]

The least number of lawns that he can cut and buy the computer is 10 lawns ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

total number of lawns cut × $50

50x

total savings is equal to ~

330 + 50x

hence,

[tex]50x + 330 \geqslant 820[/tex]

by solving for " x (number of lawns cut) " we get ~

[tex]50x \geqslant 820 - 330[/tex]

[tex]50x \geqslant 490[/tex]

[tex]x \geqslant 490 \div 50[/tex]

[tex]x \geqslant 9.8[/tex]

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

[tex]10[/tex]

solve for :
a_2=2(a_2+1) ​

Answers

Step-by-step explanation:

a_2=2a_4+2

a=_2+4_2

a=0

Jennifer installs solar panels. Today it takes her 8
hours to install 2 solar panels. She plans to install
solar panels for 40 hours next week.

Answers

10 solar panels according to me is the answer

Answer: 10

Step-by-step explanation:

40 hours/8 hours = 5 hours

5 hours *2 solar panels = 10 solar panels

Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.

Science is based on the correspondence theory of truth, which claims that truth corresponds with facts and reality. True or False and i will brainly list if correct

Answers

Correspondence theories claim that true beliefs and true statements correspond to the actual state of affairs.

Answer:

no this would not be true because science doesnt always rely on reality as in some scientific books or films they dont fully base it on truth.

Step-by-step explanation:

which is not a property of the sides of a rectangle?

Answers

Answer:

A rectangle doesn't have equal sides

Both sides are not equal

Please help if you could.

f/2 + 9 = 4
-9 -9
f/2 =

Answers

Answer:

[tex]\frac{f}{2} +9=4[/tex]

Subtract 9 from both sides:

[tex]\frac{f}{2}+9-9=4-9[/tex]

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

Multiply both sides by 2:

[tex]2*\frac{f}{2} =-5*2[/tex]

[tex]f=-10[/tex]

3x4y=-2
9x-10y=38
elimnation method

Answers

Answer:

x = 2

y = -2

Step-by-step explanation:

N.B. Assuming the first equation is actually 3x + 4y = -2

The elimination method is an incredibly useful tool used to save large amounts of time when working with small systems of equations.

First, set one variable in the top equation to have an equal coefficient as that same variable in the bottom equation.

3(3x + 4y) = 3(-2)

Then, you are left with this.  Simply subtract the equations.

9x + 12y = -6

9x - 10y = 38

0  + 22y = -44

Then, simply solve

y = -2

9x + 20 = 38

9x = 18

x = 2

Hope it helps :) and let me know if you want me to elaborate.

Please solve step by step

Answers

Please report the picture, it is cut off :)

Answer:

Hopefully this is the question: 7[tex]x^{2}[/tex] + 3x - [tex]x^{2}[/tex]

Step-by-step explanation:

7[tex]x^{2}[/tex] + 3x -[tex]x^{2}[/tex]

= 6[tex]x^{2}[/tex] + 3x

= 3x ( 2x + 1 )

Hopefully this helps.

“You decide to go Black Friday shopping, and notice a new video game has a discounted price of $30.25. This is a discount of 45% off the original price of the video game. Write an algebraic equation to determine the original price of the video game and solve it.” what is the answer?

Answers

Answer:

30.25 * .45% + 30.25

Step-by-step explanation:

30.25*.45 = 13.61

30.25+13.61 = 43.86

The University of Washington Huskies tried throwing one of the longest Hail Marys in history—about 73 yards! For this pass, the ball's height over time was modeled by the function h(t) = -16t2 + 64t + 6, where was the height in feet and was the time in seconds. a) How long does it take for the football to reach its maximum height? b) What is its maximum height? c) How long will the football be in the air? It takes a good college football player about 8 seconds to run 73 yards. If the quarterback waited 4 seconds after the snap, does the receiver have a chance of catching the ball?

Answers

Answer:

See below

Step-by-step explanation:

Given function:

h(t) = -16t² + 64t + 6

a)

The maximum height is the vertex. The x-coordinate of the vertex is -b/2a:

t = - 64/2*(-16) = 2

It takes 2 seconds

b)

Maximum height is at vertex:

h(2) = -16(2²)  + 64(2) + 6 = 70 yd

c)

The ball is in the air between zero's of the equation or approximately double the time it reaches the vertex:

2*2 = 4 seconds

The receiver doesn't have a chance to catch the ball, since the ball is only 4 seconds in the air.

Solve the quadratic equation shown below using the completing the square method. x2+6x=−17 Use the drop-down menus to choose the words or numbers to correctly complete each statement below. To solve the equation by completing the square, a first step is to add 17 to both sides of the equation. The resulting equation will be a perfect square trinomial on the left side, which can be factored into the quantity x + 3 squared, and the right side will have a value of . A next step is to take the square root of both sides to isolate the variable . will be a complex number since

Answers

Answer:

7

Step-by-step explanation:

because you just take the quadratic number and divide it by x2 and you get 7!!!

Answer:

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

x² + 6x = - 17

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 17 + 9

(x + 3)² = - 8 ( take square root of both sides )

x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

The regular price of a code is $32 it is on sale at 25% off the sales tax is 6.5% what is the final cost of code

Answers

Answer:

$25.56

Step-by-step explanation:

first find the discount

32 • 0.25 = 8

32 - 8= 24

find the tax

24 • 0.065 = 1.56

24 +1.56 = 25.56

so the final price is $ 25.56

Answer:

25.56

Step-by-step explanation:

25% of 32= 8

32-8= 24

6.5% of 24= 1.56

24+1.56= 25.56

I hope this helped! Also, the Semester Knowdowns are done in a week! Start trying to get higher scores!

Steel is a mixture of iron, carbon, and other elements. The table shows the number of parts each element in two different-sized samples of steel.

A table with the composition of two samples is shown. Sample one is ninety parts iron, three parts carbon, and seven parts other elements. Sample two is forty-five parts iron, one and a half parts carbon, and three and a half parts other elements.

Question 1
Part A

What is the unit rate of parts iron to parts carbon?

Enter the correct answer in the box.

parts iron per part carbo

Answers

Answer:

Step-by-step explanation:

Sample One, Parts and %      Sample Two, Parts and %

 Fe    90          (90%)                           45             (90%)

   C      3           (3%)                               1.5              (3%)

Other   7            (7%)                            3.5             (7%)

          100 parts                           50 parts

Parts Fe/Parts Carbon = 90/3 or 30/1  in both cases [45/1.5 = 30/1]

if f(x)=x/2-2 and g(x)2x^2+z-3, find (f+g)(x)

Answers

Answer:

Step-by-step explanation:

f(x)=3x + 4. (6) g(x) = x2 +. 1 x.

what are the coordinates of the point 2/3 of the way from A to B? A (-5,-5). B(7,8)

Answers

In my opinion I think it’s A

equivalent to -36 - 8

Answers

Answer:

-44

Step-by-step explanation:

Answer: -44

Step-by-step explanation: same as 36 + 8 and make the answer negative.

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