1. [Maximum mark: 6]
Solve n!-(n-1)!=16(n-2)!

Answers

Answer 1

n!-(n-1)!=16(n-2)! by factorizing it by  n!  and dividing it by n! we get n is equal to 2 .

what is polynomial ?

The intersection point in mathematics is the location on the y-axis where the slope of the line passes. a point where a line or curve's y-axis crosses it. This is demonstrated using the equation for the straight line, Y = mx+c, where m denotes the slope and c the y-intercept. The equation's intercept form highlights the line's slope (m) and y-intercept (b). The slope is m and the y-intercept is b when an equation has the intercept form (y=mx+b). It is also possible to rewrite some equations so that they resemble slope intercepts. For example, the slope and y-intercept are both modified to 1 if y=x is rewritten as y=1x+0.

given

n! + (n+1)! = (n+2)!

Let us rewrite:

n!+ (n+1)n! = (n+2)(n+1)n!

Factorize n!

n!(1+n+1) = (n+2)(n+1)n!

Divide by n!

==> n+2 = (n+2)(n+1)

No divide by (n+2)

==> 1= n+1

==> n = 0

to verify substitute with n=0

==> 0! + 1! = 2!

==> 1+1 = 2

==> 2=2

n!-(n-1)!=16(n-2)! by factorizing it by  n!  and dividing it by n! we get n is equal to 2 .

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Related Questions

Parallel lines s and t are cut by a transversal, r, as shown. Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are blank, blank, 1, (5 x minus 4) degrees; the angles formed with r and t are blank, blank, 94 degrees, blank. What is the value of x to the nearest whole number? 18 20 86 94

Answers

Answer:

18

Step-by-step explanation:

From the above question,

We have the Algebraic expression

(5x - 4)° + 94° = 180°

5x - 4° + 94° = 180°

5x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 90°/5

x = 18

Answer:

18

Step-by-step explanation:

Solve for x. Round your answer to the nearest tenth.
9.2
X
16.5

Answers

Answer:

152

Step-by-step explanation:

On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% percent of the length it was on Monday.
Which expressions could represent how many centimeters long Florencia's hair was after the haircut?
(The Question says to pick 2 answers out of the multiple choice options so here you go)
A. h (1-0.75)
B.(1- 75/100) h
C. 3/4 h
D. 0.75 h
E. 1/4 h

Answers

Answer:

D

Step-by-step explanation:

75/100 = .75 x the Monday length (h)

În desen este reprezentat trapezul
ABCD și O punctul de intersecție a di-
agonalelor AC și BD. Completați case-
ta, astfel încât să obțineți o propoziţie
adevărată:
Dacă aria triunghiului DOA este egală
cu 20 cm², atunci aria triunghiului COB
este egală cu​

Answers

Answer:

ab hyppotenusejabqianahqiwnna. jajabanqk

What is the surface area?
5 mm
4 mm
5 mm
6 mm
7 mm
square millimeters

Answers

Answer:

Base of 5mm, Height of 6mm, Width of 7mm214mm^2

Base of 4mm, Height of 4mm, Width of 10mm192mm^2

Base of 5mm, Height of 6mm, Width of 7mm214mm^2

Base of 6mm, Height of 3mm, Width of 2mm72mm^2

7mmLittle over 1/4 Inch0.27559 Inches

The total surface area is 124 square millimeters.

What the surface area of a rotating prism?

To find the surface area of any kind of prism we use the general formula. The total surface area of a prism is the sum of lateral surface area and area of two flat bases.

The total surface area of a Prism = (2 × Base Area) + (Base perimeter × Length).

Here, area of base is Area=2(Base×Height)

= 2(6×4)

= 12 square millimeters

Now, Base perimeter × Length= (5+5+6)×7

= 16×7

= 112 square millimeters

Total area = 12+112

= 124 square millimeters

Therefore, the total surface area is 124 square millimeters.

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One morning, the thermometer read -14 fahrenheit. By noon, the temperature had risen 12 degrees. What was the temperature at noon?

Answers

Answer:

-2 degrees

Step-by-step explanation:

-14 + 12 = -2

A 12-inch diameter pizza has 22 calories per square inch.

About how many calories are in the entire pizza?

Use 3.14 for pi.

Select from the drop-down menu to correctly complete the statement.

There are about
Choose...
calories in the pizza. optains : 264, 414, 2487, 9948

Answers

Answer: C

Explanation: Shown below. :)

Answer:

the answer is 2487

Step-by-step explanation: i took the test

write an expression for the perimeter of the triangle shown below 2.3x + 14 2x -0.2x + 15

Answers

Answer:

4.1x + 29

Step-by-step explanation:

So the perimeter would be the sum of all of the sides, so:

[tex]2.3x + 14 + 2x - 0.2x + 15\\= 4.1x + 29[/tex]

Answer: 4.5x+ 29 which is 3, so 3 is correct.

Step-by-step explanation:

P = a+b+c

First do the ordered pairs ( add the numbers with the x to the end, then add the other numbers with no x's)

jane takes 4 hours to do a job that Alice can do in 3 hours. if jane works 1/2 hour before Alice joins her, how long will it take the two of them to finish the job

Answers

Answer:

2.4 hours

Step-by-step explanation:

Select the correct answer. Which equation describes the line graphed above? A. y=-4x-5 B. y=-1/5x-4 C. y=-5x-4 D. y=-4x-1/5

Answers

Answer:

Option B

Step-by-step explanation:

Answer: B.

Step-by-step explanation: Plato

I need help on this

Answers

Answer:

(1,0)

Step-by-step explanation:

Subtract the x's and y's from eachother than divide this by two. Add this number onto the lowest of the x and ys and you get the midpoint. The same as fining the middle of two numbers but you are dealing with 2 pairs of numbers

Which rational expression is equal to a positive whole number when evaluated?
8 1/3
15 1/5
212
12 1/4

Answers

the answer is 8 1/3

After dinner 1-3 of the corn bread is left suppose 2 friends want to share it equally what fraction names how much of the whole pan of corn bread each f riend will get

Answers

Answer:

Each friend will get  [tex]\frac{1}{18}[/tex] of whole pan of corn bread

Step-by-step explanation:

As given,

Corn bread left = [tex]\frac{1}{3}[/tex]

Total number of friends = 2

So the left bread will divide into 2 parts

So, each person will get = [tex]\frac{1}{2}[/tex] ( [tex]\frac{1}{3}[/tex] ) = [tex]\frac{1}{6}[/tex] of the left bread

Now,

Left bread = [tex]\frac{1}{3}[/tex] of whole bread

And

Each person get  =  [tex]\frac{1}{6}[/tex] of the left bread

                            = [tex]\frac{1}{6}[/tex] ×[tex]\frac{1}{3}[/tex] of whole bread

                            = [tex]\frac{1}{18}[/tex]of whole bread

∴ we get

Each friend will get  [tex]\frac{1}{18}[/tex] of whole pan of corn bread

Help! What is the slope of the line represented by the equation y = 4/5 x - 3?
A) -3
B) -4/5
C) 4/5
D) 3

Answers

C) 4/5
Hope this helped!
4/5 because in y=mx+b format, the “m” represents slope, or the number in front of the x

Alek gives 18 flowers to each person at his office, There are 42 people at his office. How many flowers does alek give away?

Answers

Answer:

he gives away 756 flowers

Step-by-step explanation:

18*42=756

Can someone please help me with this question.Select all the expressions equivalent to:
20a + 10b
a:5(4a + 2b)
b:10(2a + b)
C:2(10a + 5)
D:2(10a + 5b)
E:5(4a - 2b)

Answers

Answer:

a

b

d

i did this for notes really helps

Hopefully someone comes along and helps you out. I wish I could:(

PLSSSS HELP IM BEGGING YOU PLSSSS

Answers

92000 in expanded form
9.2 x 10^4 in scientific notations
Simplify 10^4 to 10,000 and 10^3 to 1,000:
9 x 10,000 + 2 x 1,000

Simplify 9 x 10,000 and 2 x 1,000:
90,000 + 2,000

= 92,000

What is the slope of the line shown?

A. slope = 3
B. slope = 1/2
C. slope = 2
D. slope = -3

Answers

i think it’s 1/2, you have to count the rise over run from a point to the next, so it would go one up and then two over

Answer:

The answer is B - 1/2.

Step-by-step explanation:

Rise over run tells you the slope. You take two points (in this it's (0,-3) and (6,0)) and you see how many units it takes to be on the same y line as the other point. Then you do the same for the x line. You divide the rise (y line) by the run (x line) and that's your slope.

in integers how to know if minus (-) 1 upon 2 is greater or minus (-) 1 is greater???​

Answers

Answer:

1/2 is 0.5 so -1/2=-0.5

-0.5 is greater than -1

use a number line

Step-by-step explanation:

By looking at the number line we can easily tell which integers are greater (larger) than a certain number and which are less (smaller) than the number. When two numbers are located on a number line, the number to the right is larger than the number to the left. –1 is less than –1/2 because it is to the left of –1/2.

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

HELP QUICK whats the domain and range of g(x)=√x-3+5

Answers

Answer:

check it..

Step-by-step explanation:

domain and range...

A cheesecake recipe says:
Mix 12 ounces of cream cheese with 15 ounces of sugar.

1. What is the unit rate of cream cheese for sugar?

2. what is the unit rate of sugar for cream cheese?

(CORRECT ANSWER GETS A GOOD 5 STARS AND BRAINLESST)

Answers

Answer:

the unit rate of cream cheese for sugar is .8

the unit rate of sugar for cream cheese is 1.25

Step-by-step explanation:

I hope this is correct / helps! :)

How do you simplify 14.938 - 14.93 ?

Please help

Answers

Answer:

0.008

Step-by-step explanation:

To know the steps pls look at the pic above

BRAINLIEST to wherever gets this correct ​

Answers

Answer:

[tex]300\pi[/tex] cubic feet

Step-by-step explanation:

Let r be the radius of cone and h be the height of cone.

Radius of cylinder=r

Height of cylinder=h

Volume of cone=[tex]100\pi ft^3[/tex]

We have to find the volume of cylinder.

We know that

Volume of cone=[tex]\frac{1}{3}\pi r^2 h[/tex]

[tex]100\pi=\frac{1}{3}\pi r^2 h[/tex]

[tex]r^2 h=300[/tex]

Volume of cylinder=[tex]\pi r^2 h[/tex]

Using the formula

Volume of cylinder=[tex]\pi (300)=300\pi ft^3[/tex]

Hence, the volume of cylinder=[tex]300\pi[/tex] cubic feet

PLEASE HELP I WILL MARK BRAINLIEST

name 2 rights of someone accused of a crime that you observe in the pic above.
A. right to a trial and lawyer
B. right to a lawyer and providing evidence
C. Trial with a judge and witness
D. Right to take notes and provide evidence for defence ​

Answers

Answer:

it is b the right to evidence lawyer.

Answer:

B. right to lawyer and providing evidence

Step-by-step explanation:

So like I need help on this,

Choose the graph that represents the figure and classify it. Then find the area.


D(-1, -1), E(-1, 3), F(2, 4), G(2, -3)

Answers

Answer:

Trapezoid with the area 16.5 unit²

Step-by-step explanation:

Plotted the given points to find out the figure is trapezoid.

Area formula for trapezoid:

A = 1/2(b₁ + b₂)h

The length of the bases:

b₁ = DE = 3 - (-1) = 4b₂ = FG = 4 - (-3) = 7

h is the horizontal distance between the bases:

h = 2 - (-1) = 3

The area is:

A = 1/2(4 + 7)(3) = 16.5 unit²

can someone help me with these three? I just need to find the unit rates for all, I’ll mark as brainliest!!

Answers

Answer:

6. 7.5/1

7. 2.4/1

8. 40/1

Step-by-step explanation:

All you have to do is divide the 2 numbers to find the unit rate.

Answer:

6: 7.5 pizzas per Classroom

7: 2.4 Liters per test

8: 40 Points per Game

will give brainliest please help

Answers

Answer:

16g + 24 - (13g- 15)

length   -   width

perimeter = 2(length) - 2(width)

2(16g+ 24) + 2(13g-15)

32g + 48 + 26g - 30

58g + 18

1- The area of a parallelogram is 507 cm2. Its height is six times its base. Find the height and base.

Answers

Answer:

507=b x (3 x b)

507=b x 3b

507=3b^2

b^2=507/3

b^2=169

b=13

h=3 x b

h=3 x 13

h=39

Step-by-step explanation:

The height and base of the parallelogram is b = 13 cm and h = 78 cm

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the area of the parallelogram be represented as A

Now , the value of A = b x h

where the base of the parallelogram is b

The height of the parallelogram is h

So , 507 = b x h

And , height is three times its base

So , h = ( b x 3 )

On simplifying , we get

507 = b ( b x 3 )

507 = 3b²

Divide by 3 on both sides , we get

b² = 169

Taking square roots on both sides , we get

b = 13 cm

So , the height of the parallelogram is h = 78 cm

Hence , the parallelogram is solved

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Last year, Michael opened an investment account with $5400. At the end of the year, the amount in the account had decreased by 23.5%. How much is this
decrease in dollars? How much money was in his account at the end of last year

Answers

He would have $4131 left from $5400 with a decrease with 23.5%

A baker needs 4 3⁄4 cups of flour. If she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have at least 4 3⁄4 cups?(must be a whole number)

Answers

Answer:

If you did it three times it would be 4 1/2. If you wanted to make it at least 4 3/4 then you would need to do 1 1/2 4 times.

Step-by-step explanation:

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