All categories

3 years ago

What's the reciprocal of 2/3

Mathematics

1 answer:

jonny [76]3 years ago

8 0

0.16666666666 that is correct

You might be interested in

Round your answer to the nearest hundredth.

kotykmax [81]

Answer:

100 `('-')`

Step-by-step explanation:

sorry if wrong

7 0

2 years ago

*Find the formula of the series 1+2²+3²+4²+....+n²*<br>

Sophie [7]

The formula is $\frac{n(n+1)(2n+1)}{6}$

What are series?

In mathematics, we can describe a series as adding infinitely many numbers or quantities to a given starting number or amount.

We will find the formula as shown as below:

Let $S=1+2^2+3^2+4^2+................+n^2$

We know $(n+1)^3=n^3+3n^2+3n+1$

$(1+1)^3=1^3+3(1)^2+3(1)+1$

$(2+1)^3=2^3+3(2)^2+3(2)+1$

$(3+1)^3=3^3+3(3)^2+3(3)+1$

$(n+1)^3=n^3+3(n)^2+3(n)+1$

On adding

$2^3+3^3+4^3......(n+1)^3=(1^3+2^3+3^3+.....+n^3)+3(1^2+2^2+.....+n^2)+3(1+2+3....n)+(1+1+1+....+1)$

$2^3+3^3+4^3......(n+1)^3-(1^3+2^3+3^3+.....+n^3)=3S+\frac{3n(n+1)}{2}+(1+1+1+....+1)$

$(n+1)^3-1^3=3S+\frac{3n(n+1)}{2} +n$

$n^3+3(n)^2+3(n)+1-1=3S+\frac{3n(n+1)}{2} +n$

$2n^3+6n^2+6n=6S+3n^2+3n+2n$

$6S=2n^3+3n^2+n$

$6S=2n^2(n+1)+n(n+1)$

$6S=(n+1)(2n^2+n)$

$6S=n(n+1)(2n+1)$

$S=\frac{n(n+1)(2n+1)}{6}$

Hence, the formula is $\frac{n(n+1)(2n+1)}{6}$

Learn more about Series here:

brainly.com/question/24643676

#SPJ1

3 0

2 years ago

X is an integer Write down all the solutions of inequality 3<2x +1 < 13

BaLLatris [955]

Answer:

1<x<6

Step-by-step explanation:

subtract 1 from every side: 2<2x<12

divide 2 every side: 1<x<6

6 0

3 years ago

In a bag of m&ms, there are 12 blue,7 browns, 16 red,6 green, 4 yellow, 8 orange.What is the probability of choosing a brown

iris [78.8K]

Answer:

40 percent

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A mathematical statement that two or more expressions are equal.

chubhunter [2.5K]

An equation is a mathematical statement that two expressions are equal

3 0

3 years ago