Find the value of n that satisfies 2(n+1)! + 6n! = 3(n+1), where $n! = n\cdot (n-1)\cdot (n-2) \cdots 2\cdot 1$.

Answers

Answer 1

Answer:

[tex]n = 5[/tex]

Step-by-step explanation:

Given

[tex]2(n+1)! + 6n! = 3(n+1)![/tex]

Required

Find n

Simplify (n + 1)!

[tex]2(n+1)*n! + 6n! = 3(n+1)*n![/tex]

Factorize

[tex]n![2(n+1) + 6] = 3(n+1)*n![/tex]

Divide both sides by n!

[tex]2(n+1) + 6 = 3(n+1)[/tex]

Open brackets

[tex]2n + 2 + 6 = 3n + 3[/tex]

[tex]2n + 8 = 3n + 3[/tex]

Collect like terms

[tex]2n - 3n = 3 -8[/tex]

[tex]-n =-5[/tex]

Multiply both sides by -1

[tex]n = 5[/tex]


Related Questions

HURRYYYYY PLEASEEEEE

Find the area of the circle. Use 3.14 for p.

Answers

Answer: B

Step-by-step explanation:

can someone please help me

Answers

Answer:

Step-by-step explanation:

solve for x. The segments labeled in the picture are the tangets.

Answers

D) 9
Hope it helps u!!!!

Mia got 28 questions correct on a 40 question test. What percent of the questions did she get correct?

Answers

Answer:

70%

Step-by-step explanation:

28/40 = 14/20 = 7/10 = 0.7 = 70%

Answer:

70%

Step-by-step explanation:

100% A+  

Ri   |Wr

ght|ong

39 1 97.5% A+

38 2 95% A

37 3 92.5% A-

36 4 90% A-

35 5 87.5% B+

34 6 85% B

33 7 82.5% B-

32 8 80% B-

31 9 77.5% C+

30 10 75% C

29 11 72.5% C-

28 12 70% C-

27 13 67.5% D+

26 14 65% D

25 15 62.5% D-

24 16 60% D-

23 17 57.5% F

22 18 55% F

21 19 52.5% F

20 20 50% F

19 21 47.5% F

18 22 45% F

17 23 42.5% F

16 24 40% F

15 25 37.5% F

14 26 35% F

13 27 32.5% F

12 28 30% F

11 29 27.5% F

10 30 25% F

9 31 22.5% F

8 32 20% F

7 33 17.5% F

6 34 15% F

5 35 12.5% F

4 36 10% F

3 37 7.5% F

2 38 5% F

1 39 2.5% F

0 40 0% F

Kim namjoon kim seokjin min yoongi....
Finish it if you are army
Also tell me what other groups you Stan I want to know lol

Answers

JUNG HOSEOK PARK JIMIN KIM TAEHYUNG JEON JUNGKOOK BTS and I don’t stan any other groups lol but I am predebut army and Jungkook Stan since February 8th 2013! <3

Answer:

JUNG HOSEOK PARK JIMIN KIM TAEHYUNG JEON JUNGKOOK BTS!!!

Step-by-step explanation:

Also, I answered about 12 hours late but oh well lol.

I don't stan any other groups beside BTS. But I do casually listen to other kpop groups ofc :)

Please check my answer !! thank you ⭐️

Answers

I think your answer is right.

Your lunch bill is L. You want to leave a 20% Tip. Write what expression could be used to show this situation.

A. L (1-0.2)
B. L (1+0.2)
C. 0.8L

Answers

Answer:

B

Step-by-step explanation:

B is correct.  That '1' represents the lunch bill.  That '0.2' represents the 20% top.  Total final bill is (1 + 0.20)L

Answer:

B. L (1+0.2) is the answer

please help! ASAP!!!!

Answers

Answer:

Part A)  2(n/6) - 9

Part B)  the expression would change to 2(n/6) + 9 if  it said 'more than'

Step-by-step explanation:

Find the area!

- please help!

Answers

Answer:

25 x 20 = 500

half of 25 = 12.5

12.5^2

156.25 x 3.14 = 490.625

490.625 divided by 2 = 245.3125

245.3125 + 500 = 745.3125 cm2 is your answer.

I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly

Answers

Answer:

The circumference of the yellow circle is [tex]9\pi[/tex] or [tex]28.27cm^2[/tex] approximately, the circumference of the blue circle is [tex]6\pi[/tex] or [tex]18.85m^2[/tex] approximately, the circumference of the green circle is [tex]80\pi[/tex] or [tex]251.33mm^2[/tex] approximately, the circumference of the red circle is [tex]5\pi[/tex] or [tex]15.71cm^2[/tex] approximately, and the circumference of the pink circle is [tex]7\pi[/tex] or [tex]21.99cm^2[/tex] approximately.

Step-by-step explanation:

To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by [tex]\pi[/tex]. In this case, the circumferences of the yellow circle are [tex]9\pi[/tex] or approximately [tex]28.27cm^2[/tex], the circumference of the blue circle is [tex]6\pi[/tex] or approximately [tex]18.85m^2[/tex], the circumference of the green circle is [tex]80\pi[/tex] or approximately [tex]251.33mm^2[/tex], the circumference of the red circle is [tex]5\pi[/tex] or approximately [tex]15.71cm^2[/tex], and the circumference of the pink circle is [tex]7\pi[/tex] or approximately [tex]21.99cm^2[/tex].

There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?

Answers

Answer:

120

Step-by-step explanation:

10 x 20 = 200

thus 6 x 20 is 120

Solve for x.

One side = 10
Another side = 9
One side = x
(It's a right triangle.)

Answers

Answer:

x = 4.3588989435406

I hope it's helps you

Ms.Boyers is baking a cake for the holiday. She needs 3 cups of milk and 1 cup of corn syrup. How many ounces of milk and corn syrup does she need in all

Answers

Answer:

she will need 24 ounces of milk and 8 ounces of corn syrup

Step-by-step explanation:

let me know if im right good luck!

Answer:

[tex]48[/tex] oz of milk

[tex]16[/tex] oz of corn syrup

Step-by-step explanation:

[tex]3\times16=48\\1\times16=16[/tex]

Represent 0.533 (only the last 3 is bar number) into a rational number

Answers

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 3 placed after the decimal point.

let x = 0.5333.. ( multiply both sides by 10 and 100 )

10x = 5.333... → (1)

100x = 53.333... → (2)

Subtract (1) from (2) tus eliminating the repeating 3

90x = 48 ( divide both sides by 90 )

x = [tex]\frac{48}{90}[/tex] = [tex]\frac{8}{15}[/tex]

Answer:

IT IS 8/15

Step-by-step explanation: Divide and multiply the fraction from 100 to tens

PLEASE HELP! I WILL MARK BRAINLIEST AND IM GIVING OUT AS MANY POINTS AS I CAN!!

Answers

Answer: Answer to 13 is 16 as it is 81+ days. Answer 14 is 16/50 which is 32 percent The median on 15 is the 6th value and the minimum value is the smallest number in the sequence provided. The lower quartile is the 3rd number in the sequence but you need to put them from smallest to largest. The upper quartile is the 9th number in the sequence. The maximum value is the biggest number in the sequence

Step-by-step explanation:

find the coordinates of the point where y-4x=1 crosses the y-axis

Answers

Answer:

(0, 1)

Step-by-step explanation:

y - 4x = 1 crosses the y-axis at (0, 1)

Answer:

(0,1)

Step-by-step explanation:

I need an answer! NO LINKS! PLS ill give brainlist!

Answers

i’m pretty sure it’s D. 84.4

Cómo trazar Polígonos regulares utilizando material geométrico como la regla, compas y el graduador porfa ayuda

Answers

Answer:

En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.

choose the number that is equal to: 2/3 divided by (-3) A.)-2 B.) -2/9 C.)2/9 D.) 2

Answers

Answer

B

Explanation
Dividing by -3 is same as multiplying by -1/3. Multiply those two fractions to get -2/9

find the volume of the figure. (3.14 as pi)

Answers

Answer:

84

Step-by-step explanation:

7x3x4

,,,,,,,,,,,,,,,,

Answer:

84 in^3

v=length x width x height

Why do u need pi in this, there are no circle or sphere or cone, or whatever

hope that answers your question

good luck and stay safe

Step-by-step explanation:

Find the measure of arc FV

Answers

Answer:

FV = 60

Step-by-step explanation:

VG => 65 × 2 = 130

FH major arc=> 119 × 2 =  238

FH major arc -  GH = FG

FG => 238 - 168 = 70

VG - FG major arc = FV

FV => 130 - 70 = 60

Answer:

60 degrees

Step-by-step explanation:

The measure of an inscirbed angle is half the measure of the intercepted arc.

(The measure of the arc is twice the measure of the angle!)

The inscribed angle at V  intercepts an arc of 2 x 119 = 238 degrees, so the measure of arc FGH is 238.  Subtract arc GH from that, 238 - 168 = 70, so that is the measure of arc FG.

The angle at H intercepts an arc with measure 2 x 65 = 130.  The measure of arc VFG is 130.  But arc FG is part of that, so subtract its measure from 130.  130 - 70 = 60.

The measure of arc FV is 60 degrees.

How do you do this pls I need help

Answers

Answer:

416 cm2

Step-by-step explanation:

The formula for surface area of prism.

2Ab+ Pb*h

2(1/2)(12)(8)+ 32*10

= 96+320

= 416 cm2

if my answer helps please mark as brainliest.

The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21

Answers

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

How to determine the possible equations?

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

Read more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ1

What is 165 rounded to the nearest ten?

Answers

Answer:

170

Step-by-step explanation:

5 and up you round up and 4 and below round down.

Look at the six then look at the number to the right, 5.

So, you round up to 170 instead of 160.

Which of the following relations is a function?
A. (0,4), (-3, 2), (5, 1), (-7, 2)
B. (0,0), (-3, 3), (5, 1), (-3, 5)
C. (5, 1), (-3, 4), (0, 1), (5,2)
D. (0,4), (-3, 6), (0, 3), (-7, 2)

Answers

Answer:

c is the one with function

determine the domain of the following graph

Answers

Answer:

[-5, 10) or you can write [tex]-5\le x < 10[/tex]

Step-by-step explanation:

The domain is the set of all values of x used in the function. Scan across the graph from left to right (much as you do when reading). The first point you find on the graph has an x-coordinate 5 (see the solid dot?). Then, as you continue reading across the graph, there are values of x used until you get to 10. The dot at x = 10 is open, not filled in. That indicates that the number x = 10 is NOT used by the function.

So the domain is all real numbers greater than or equal to -5 and less than 10.

[-5, 10) is called interval notation; a square bracket means the value next to it IS used by the function, a parenthesis means the value next to it is NOT used.

When the x coordinate is positive, which way do you move on the coordinate plane?

Answers

Answer:

to the right

Step-by-step explanation:

Answer:

Right.

Step-by-step explanation:

When the x coordinate is positive, you move right on the coordinate plane.

For reference, here are the other directions.

When the x coordinate is negative, you move left on the coordinate plane.

When the y coordinate is positive, you move up on the coordinate plane.

When the y coordinate is negative, you move down on the coordinate plane.

Which measurements could not represent the side lengths of a right triangle?
F 25 feet, 60 feet , 65 feet
G 9 feet, 12 feet, 15 feet
H 20 feet, 25 feet, 30 feet
12 feet, 35 feet, 37 feet

Answers

the answer is H because if you use pythagorean theorem, A^2 + B^2 = C^2, that one is the only one that has a different C solution

Which is a reasonable estimate for 7473 - 2875

Answers

Answer: the answer is 4,598.

Ill mark brainliest, question is attached

Answers

go on mathpapa.com they solve / simplify / factorise and everything they're very good it's a calculator

Answer:

-15u^2

Step-by-step explanation:

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