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I just solved the problem, the answer is 120. :P Thanks anyway!

In decimal form, it would be 8.333... (repeating).

Simplified as a fraction, it would be 25/3, or 8 1/3 if you need a mixed number.

I hope this helped!

852,000 → 8.52*10^5

.

Sorry Max, this is a well known fact!  

However, it's always more interesting to discover these things for yourself than just being told by someone else!  Well done!

There are 2 kinds of integration, which is definite integral and indefinite integral.

Example of definite integral:\(\int_{0}^{\pi}sinxdx\)

Example of indefinite integral:\(\int\sqrt{1+x}dx\)

\(6^{\frac{3}{2}}= \sqrt{6^3}=\sqrt{216}=6\sqrt6 \)

I seldom use approximations for square roots.

Because you can make it a number times a root, like what I have done above

\(3=2(x-2)+2-x\)

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

\(x-2=3\)

\(x=5\)

I thought I was the first one to discover this fact XD

i⁴ⁿ⁺¹=i

i⁴ⁿ⁺²=-1

i⁴ⁿ⁺³=-i

i⁴ⁿ=1

3 is 4(0)+3

Therefore i³=-i

Hi Max,

I looked it up up in wolfram|alpha

http://www.wolframalpha.com/input/?i=log(-1)

There is no fault to your logic :)

I do agree though, it is interesting :)

I face this problem too so I memorized some of the squares of the whole numbers. Such as 28²=784. But I suddenly found out that using calculator is better because......

Firstly, it is impossible to memorize sqrt of all the numbers. Numbers are infinite.

Secondly, There are fractions and decimals, I can't rely on my memory for that.

Thirdly, there are extremely big and extremely small numbers.

So after all, using calculator is the best.

You have to know at least 2 to 3 sides, as the guest has mentioned above.

Next, use the trig functions.

\({729}^{\frac{1}{6}}=\sqrt[6]{729}=3\)

\(\frac{log1}{1000}\)

= 0

\(log(\frac{1}{1000})\)

= -3

Yes. Definitely

First, calculate the slope(m)

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Then the formula is y = mx+b

Substitute any pair of coordinates into x and y to calculate b

\(\frac{\pi}{ln(-1)}\)according to what i found secretly in my maths lesson

\(i\)according to what my maths teacher give me

\(\frac{log_ab}{log_ac}=log_cb\)

That's the formula.

True.

infinity is the biggest number already. If you add something to it, it will still be infinity. If you multipliy something to it, it will still be infinity. If you raise it to a power, it will still be infinity.

Rational.

9 - 3 ÷ 1/3 - 1

= 9 - 3 x 3 - 1

= 0 - 1

= -1 

What do you mean by this question?

No people will be in Year 3 , 4 , and 5 because they can't study in 3 different years in the same time. LOL

The sum of pupils in Year 3 , Year 4, Year 5

= 128 + 146 + 122

= 396

\(sin15+85-9+22+3 = 101.258819\)

Just for further knowledge:

\(sin 15 = \frac{\sqrt{6}-\sqrt2}{4}\)

I'll do a couple

1.If f(x) =√3x+3 , what is the equation for f^–1(x)?

Let

\(Let\;\;y=f(x)\\ y=\sqrt3x+3\\ y-3=\sqrt3x\\ \frac{y-3}{\sqrt3}=x\\ x=\frac{\sqrt3(y-3)}{3}\\~\\ f^{-1}(x)=\frac{\sqrt3(x-3)}{3}\\~\\ \)

2.If the parent function is √x, describe the translation of the function √x+7

This is a translation 7 units up

3.Rewrite y = √9x+45  +2 to make it easy to graph using a translation. Describe the graph. 

y = √9x+45  +2

y = 3x+47

The parent graph could be y=3x     gradient is 3 moved up so the y intercept is 47

Your question doesn't make any sense.

Do you mean decimal part of pi?

But value of pi is infinite......

I will just give you an approximation of pi : pi = 3.1415926535897932384626433.........