Prove for any positive integer n, 1x2 + 2x3 + 3x4....n(n+1) = n(n+1)(n+2)/3

Answers

Answer 1
2)3+(+1)(+2)
(
k
)
(
k
+
1
)
(
k
+
2
)
3
+
(
k
+
1
)
(
k
+
2
)

Answer 2
I’m kinda confused with your question but imma say 20

Related Questions

A cone and cylinder have the same radius and the same volume. The cylinder has a height of 10m and a radius of 12m. Find the volume of the cylinder and the height of the cone.

Answers

Answer:

4523.89m

So for a cylinder it is radius times two. Then multiply your answer by pie 3.14 then times high.

The answer is 4523.89 I checked twice

The ratio of chickens to roosters is 10 to 2. If there are 25 chickens, how many roosters are there? Complete the ratio table to solve.

Answers

Answer:

5

Step-by-step explanation:

I hope this answer be right:)

Answer:

Step-by-step explanation:

let the roaster be x

ratio of chicken to roosters is 10 :2

chickens /rooster =chickens /rooster

10/2=25/x

do cross multiplication

2*25=x*10

50=10x

50/10=x

5=x  therefore there are 5 roosters.

Joseph has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $440.12.
He buys 2 bicycle reflectors for $12.86 each and a pair of bike gloves for $19.26.
He plans to spend some or all of the money he has left to buy new biking outfits for $53.96 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Joseph can purchase while staying within his budget.

Answers

Answer:

8 outfits with change

Step-by-step explanation:

if you add up the prices of the objects and divide it then you get 8.989

Please find the 5 codes, thank you.

Answers

i think 4 & 5! Have a good day

Answer:

13, 14, 13, 4.6, 48

Step-by-step explanation:

these are the x-values I have but I don't know hot to solve for th code.

im failing math rn and really need help so pls help. Find the value of xin the triangle shown below.

Answers

Answer:

x = 10

Step-by-step explanation:

Pythagorean Theorem = a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

c = 10

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

10

Step-by-step explanation:

pythagorean thereom

6^2 + 8^2 = c^2

100 = C^2

c = 10


Diagonals of a trapezoid intersect each other at point E, and the extensions of the legs of the trapezoid intersect each other at point F. Prove that line EF bisects the bases of the trapezoid.

PLEASE HELP, IT’S DUE TOMORROW. 50 POINTS AND BRAINLIEST.

Answers

Answer:

See Below.

Step-by-step explanation:

Let the intersection point above E be K, and let the intersection point below E be J.

Since ABCD is a trapezoid:

[tex]\displaystyle AB\parallel DC[/tex]

Therefore:

[tex]\displaystyle \angle AJF\cong \angle DKF[/tex]

And:

[tex]\displaystyle \angle DFJ\cong \angle DFJ[/tex]

So, by AA-Similarity:

[tex]\displaystyle \Delta DFK\sim \Delta AFJ[/tex]

CPSTP (Corresponding Parts of Similar Triangles are Proportional):

[tex]\displaystyle \frac{KD}{JA}=\frac{FK}{FJ}[/tex]

Likewise, do the same to the other side. Since AB is parallel to DC:

[tex]\displaystyle \angle BJF\cong CKF\text{ and } \angle CFJ\cong \angle CFJ[/tex]

Hence:

[tex]\Delta CFK\sim \Delta BFJ[/tex]

By CPSTP:

[tex]\displaystyle \frac{KC}{JB}=\frac{FK}{FJ}[/tex]

Substitution:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JB}[/tex]

Since AB is parallel to DC:

[tex]\displaystyle \angle CDB\cong \angle ABD[/tex]

By vertical angles:

[tex]\angle DEK\cong BEJ[/tex]

Hence, by AA-Similarity:

[tex]\Delta DKE\sim \Delta BJE[/tex]

CPSTP:

[tex]\displaystyle \frac{KD}{JB}=\frac{KE}{JE}[/tex]

Likewise:

[tex]\angle DCE\cong \angle BAC[/tex]

And by vertical angles:

[tex]\displaystyle \angle CEK\cong \angle AEJ[/tex]

Hence:

[tex]\Delta CKE\sim \Delta AJE[/tex]

CPSTP:

[tex]\displaystyle \frac{KC}{JA}=\frac{KE}{JE}[/tex]

Substitution:

[tex]\displaystyle \frac{KD}{JB}=\frac{KC}{JA}[/tex]

Now, we have obtained that:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JB}[/tex]

And:

[tex]\displaystyle \frac{KD}{JB}=\frac{KC}{JA}[/tex]

In the second proportion, multiply both sides by JA:

[tex]\displaystyle \frac{KD\cdot JA}{JB}=KC[/tex]

In the first equation, multiply both sides by JB:

[tex]\displaystyle \frac{KD\cdot JB}{JA}=KC[/tex]

Substitute:

[tex]\displaystyle \frac{KD\cdot JA}{JB}=\frac{KD\cdot JB}{JA}[/tex]

Cross-multiply:

[tex]JB\cdot KD\cdot JB=JA \cdot KD\cdot JA[/tex]

Cancel out KD and simplify:

[tex]JB^2=JA^2[/tex]

Therefore:

[tex]JB=JA[/tex]

And using the first proportion again:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JA}\Rightarrow KD=KC[/tex]

Hence, EF bisects AB and DC, the bases of the trapezoid.

Aha I'm failing so if you could help that would be great :D. Find the value of x in the triangle shown below.

Answers

Answer:

8

Step-by-step explanation:

p = ?

h = 10

b = 6

Now,

p2 = h2 - b2

p2 = ( 10)2 - (6)2

p2 = 100 - 36

p2 = 64

p = root under (64)

p = 8

X= 8, letter D and I hope it’s right

BRAINLIEST IF correct

Answers

Answer:

1.

25 of the 36 collars will be accepted. I just counted the numbers that were either "14" "15" or "16" because the company will only accept the collars that have 14-16 miligrams of medicine in them.

2. I expect the company to reject 11 of them because 25-36 = 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Okayy, so we know that the domain for the flea collars (let's call them x for short) is:

[tex]14\leq x\leq 16[/tex]

So basically we can eliminate all of the numbers that don't fit the inequality

In this set of numbers we are looking to eliminate the 13's and the 17's

17, 14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16, 13, 13

13, 13, 13, 14, 14, 13, 17, 14, 15, 13, 14, 15, 16, 17, 14, 17, 14, 15

The bolded ones are the ones to eliminate, also that took way too long to type those :,)

Now here's what's left:

14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16

14, 14, 14, 15, 14, 15, 16, 14, 14, 15

Now we can answer the questions

A) What percent of collars would be acceptable?

To find this answer we must find the percent of collars that are left out of all of the collars we used to have

(I hope that makes somewhat sense)

To find this we need to know the number of collars we started with and the number of collars we have left

We started with 36

We have 25 left

25/36 is about

69.44 percent

This number works even though we only used 36 because the ratio of good collars to be bad collars should be consistent throughout the whole 720 collars

nExT qUeStIoN

B) How many collars

which angles are vertical to 2 ? Select all that apply

Answers

Answer:

5

Step-by-step explanation:

Verticle angles are the angles opposite of each side.

Answer:

I think only 5

hope this helps

have a good day :)

Step-by-step explanation:

if you have to choose more it would be 5 and 6

15/18−(1/3+1/6)??
A.)13/9
B.)13/18
C.)2/3
D.)1/3
I kinda need an answer now.

Answers

Answer: 0.3

Step-by-step explanation:

Mixed number form:
17 1/2

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Convert 80 km/h to mi./min. Use the fact that 1 mi. ≈ 1.6 km.

Answers

Answer:

0.83 mi/min

Step-by-step explanation:

Start with 80 km/hr.  Convert this to the units miles/hr:

(80 km/hr)(1 mile/1.6 km) = 50 miles/hr

Next, apply the equality 60 min / 1 hr = 1 to 50 miles/hr:

50 miles.      1 hr

------------- * ------------ = 5/6 mi/min, or 0.83 mi/min

     hr          60 min

in a three digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. If the hundreds digit of the number is x, the equation will be? 20 Points to solve and brainliest.

Answers

Answer:

I am not sure, but I think 362 is the answer

Step-by-step explanation:

hundred digit:x

tens digit:2x

ones digit:x-1

x+2x+x-1=11

4x=12

x=3

number=362

362 is the answer because i learned this yesterday

Hector gave 40% of his money and an additional $5 to Calista. He
gave 75% of his remaining money and an additional $6 to Koren,
The amount of money Hector had left in the end was $44 less than
the amount of money he gave to Karen. Find the amount of money
Hector gave to Calista,

Answers

$38 dollars is the answer

Trigonometry
Find AC in the diagram attached.

Answers

Answer:

2√2

Step-by-step explanation:

< C = 180-15-45 = 120°

AC/sin 45° = AB/sin 120°

AC = 2√3 × sin 45° / sin 120°

= 2√3 × ½√2 / ½√3

= 2√2

Answer:

2√2

Step-by-step explanation:

Pls help me so I can pass

Answers

What kind of angle is it??

Name the following triangle:

A. equilateral and right
B. isosceles and obtuse
C. isosceles and acute
D. scalene and obtuse

Answers

Answer:

isosceles and obtuse

Step-by-step explanation:

We have 2 sides that are equal length - isosceles

We have an angle that is greater than 90 and less than 180 - obtuse

Answer:

B. Isosceles and Obtuse

Step-by-step explanation:

Two sides of the triangle have equal length, and one angle is more than 90 degrees.

Help please?!!!!!!!!:8/8/&

Answers

Answer:

The answer is A)  y =3x + 3

Step-by-step explanation:

You substitute the gradient and y intercept into the equation of y = mx +b

the answer is A.) y=3x+3

which angles are adjacent to each other ? select all that apply

Answers

Step-by-step explanation:

1st one

2nd

4th

all except the top left one I think

HELP ME IM FAILING LOL Find the value of x in the triangle shown below.

Answers

Answer:

d

Step-by-step explanation:

because it's the exact value

answer: D

(equation: a^2 + b^2 = c^2)

BRAINLIEST IF CORRECT

Answers

Answer:

Blue

Step-by-step explanation:

The experimental probability (and theoretical probability) of drawing a blue marble is the highest:

[tex]\checkmark\:\text{Blue: }\frac{16}{40},\\\text{Red: }\frac{14}{40},\\\text{Yellow: }\frac{10}{40},[/tex]

Blue

Explanation: 16/40 is the highest number

A football player attempts to kick a football across a field. The path of the football can be modeled by the function h(x) = − 1/225 x^2 + 2/3 x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. How far from the kicker will the football land? Please Help Me!

Answers

Answer:

too complex boy Soo hard

Please help me with this question .

Answers

Answer:

B

Step-by-step explanation:

hope it helps

The second one
have a good day

giving brainlist tobfastest and correct

Answers

Answer:

A is your answer

Answer a seems to be the best option

Help pweeeeeeeeeaseeeeeeeeeeeeee

Answers

Answer:

B

Step-by-step explanation:

y = -2x

The negative slope means it goes down from left to right ( we eliminate Choice a)

Y = mx+b  b is the y intercept

The b in the above equation is 0, so it must go through zero

That means the graph of the line is B

Answer:

B

Step-by-step explanation:

Because the equation is put in y = kx form the y intercept will be at the origin (0,0)

All graphs except B do not go through the origin

So b likely graphs y = -2x

What is the area of a circle with a radius of 6 ft? Use 3.14 for π. Round to the nearest tenth if necessary.

Answers

Step-by-step explanation:

write what you know

A = pi x r^2

r = 6ft

Annd plug and chug

Answer:

[tex]\boxed {\boxed {\sf a \approx 113.0 \ ft^2}}[/tex]

Step-by-step explanation:

The area of a circle is the space inside the shape. The formula is:

[tex]a= \pi r^2[/tex]

We know the radius of the circle is 6 feet and we are using 3.14 for pi.

r= 6 ftπ= 3.14

Substitute the values into the formula.

[tex]a= (3.14) \times (6 \ ft)^2[/tex]

Solve the exponent.

(6 ft)² = 6 ft * 6 ft = 36 ft²

[tex]a= (3.14) \times 36 \ ft^2[/tex]

Multiply.

[tex]a=113.04 \ ft^2[/tex]

Let's round to the nearest tenth. The 4 in the hundredth place tells us to leave the 0 in the tenths place.

[tex]a \approx 113.0 \ ft^2[/tex]

The area of the circle is approximately 113.0 square feet.

Is this a statistical question?

"What is the weight of a mouse?"

Answers

Answer:

yes that is a statistical question

Step-by-step explanation:

Part D In her science class, Nadia needs to make a model showing the planets relative distance from the Sun. She wants to use centimeter grid paper to create her model. If 1 centimeter on the model represents 100,000,000 kilometers, write a proportion Nadia could use to create her model on the grid paper. Use the proportion to find the distance for each planet on the model. Then use a ruler and centimeter grid paper to draw a model similar to Nadia's.​

Answers

Answer:

Mars

Step-by-step explanation:

100,000,000 kilometers, write a proportion Nadia could use to create her model on the grid paper. Use the proportion to find the distance for each planet on the model.

My tutor said Mars! Keep it up

please help! i don’t understand this question thank youuuu

Answers

can i see it with the drop menus down
I’ll come back n help

The sum of the weights of Tom and Bill is 138 pounds and one boy is 34 pounds heavier than the other. How much does the heavier boy weigh?

Answers

Answer:

The heavier boy would weigh 86 pounds.

Step-by-step explanation:

Let's say boy=b, the equation would be:

2b+34=138

This is because the boys would weigh the same, with an exception of 34 pounds.

But we need to find just one person's weight. So bring 34 to the other side:

2b=138-34

Solve:

2b=104

Now, we need to find b:

b=52

So one boy would weigh 52, and the other would weigh 52+34, which is 86.

The heavier boy would weigh 86 pounds.

Happy learning!

--Applepi101

the answer would be 86 pounds

Pls help me so I can pass

Answers

Answer:

Sorrry i dont know

Step-by-step explanation:

John Hancock elevator is faster

This is because the John Hancock goes 1800 a minute, which is more than 1400 a minute.

If the John Hancock elevator goes 30 a second and there are 60 seconds in a minute, 30x60=1800.
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