How long is the shorter pole?

1 year-> 12 months so 3 years->3* 12=36 months 

300*36=10800

so £10800 in 3 years

Hi

Thanks to Melody's answer i've managed to work it out :-) 

yes however, my question applies to mathematical rules.

You are a bit loose with your equals signs there, Guest!  😱

Take care to ensure equals always means equals!!

It can be fixed with  % sign after the 100

😟    😱    😭    😖

99/5

Is this in the context of the physics of ideal gases?

🎈   🎈   🚬

...Or

Divide by 3 on both sides

Then, subtract 1 on both sides 

:)

Subtract 3 from BOTH sides

then

divide BOTH sides by 3

0.612=(0.352x0.352)/x

\(0.612\times x=\frac{(0.352\times 0.352)}{x}\times x\\ 0.612\times x=0.352^2\\ x=\frac{0.352^2}{0.612} \)

0.352^2/0.612 = 0.2024575163398693

Can you simplify this x+9/-x+9?

I expect you mean     

Can you simplify this (x+9)/(-x+9)?

and the answer is no, although you could present it as   (x+9)/(9-x)

That looks a little nicer I think.

\(\sqrt{2l^2}=l\sqrt2\)

\(\sqrt{2l^2}\)

This can be simplified further:

Im going to use a radical rule that says \(\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\hspace{1cm}\), assuming \(a\geq0,b\geq0\). You might notice that there is a condition for using this. This rule only works when both a and b are nonnegative. In the context of geometry, \(l\) should be positive because otherwise a square couldn't exist if a side length is -8, for example. I will apply this rule:

\(\sqrt{2l^2}=\sqrt{2}\sqrt{l^2}\)

Here, too, I will apply a rule that only works with nonnegative numbers: \(\sqrt[n]{a^n}=a\), assuming \(a\geq0\). Let's apply it now:

\(\sqrt{2}\sqrt{l^2}=\sqrt{2}*l=l\sqrt{2}\).

I just wanted you to be aware of this. You can't simplify \(\sqrt{2l^2}\)   further otherwise.

\(c+2c+3c=6c\)

I'm assuming you want to simplify \(c+2c+3c\).

c, 2c, and 3c are called like terms. Like terms have variables that are the same and exponents that are the same. Is that the case here? It certainly is. c, 2c, and 3c all have the same variable of c. Also, these terms all have the same exponent: 1. It may not be visibly obvious, but anything raised to the power of 1 is itself. To simplify, add the coefficients:

\(c+2c+3c=3c+3c=6c\)

You're done!

Subtracting a negative is always the same as adding a positive:

\(7350783-(-296)=7350783+296=7351079\)

Your calculator is correct; the expressions evaluates to 9.

Be careful with order of operations. Remember, there are strict rules when evaluating expressions. 
 

1. Evaluate Parentheses from left to right

2. Evaluate Exponents from left to right

3. Evaluate Multiplication or Division from left to right

4. Evaluate Addition or Subtraction from left to right

Okay, with these rules in place let's try to evaluate this expression

I think I know how you got your answer of 1:

Just be vigilant on how you evaluate expressions because a mistake like the one I illustrated above can give you a wildly different answer. 

how to find dlog base a,b *x

Log(base a) (b*x) ??

Log(b*x) / Log(a)

How do you re-arrange 0.612=(0.352x0.352)/x to find the value of x?

I assume that 0.352 x 0.352 =0.352^2. If so, then cross multiply:

0.612x = 0.352^2 =0.123904  divide both sides by 0.612

x =0.123904 / 0.612

x =~  0.2024575......

275 = 4.75 (2.25^x) I assume you want to solve for x?

divide both sides by 4.75

57.89474.... =2.25^x  take the logs of both sides.

x = log(57.89474) / log(2.25)

x = ~5.0049...

oh it is a square so length l and breadth b will be the same

\(d^2=2l^2\\ d=\sqrt{2l^2}\;\;units\)

use pythagoras's theorum

\(d^2=l^2+b^2\)

Hello, I have a recipe that comes in a three-part solution 1000ml of A, 500ml of B, and 250ml of C which makes a 1750ml solution kit, how do you solve this if i need 300ml of solution in total, how do i calculate whats needed for parts A, B and C. Thanks Nigel

We are not here to do your homework for you.

ok :)

\(k=2^p-1\\ N=k^2-1\\ N=(2^p-1)^2-1\\ N=2^{2p}-2*2^p+1-1\\ N=2^p*2^p-2*2^p\\ N=2^p(2^p-2)\\ N=2^{p+1}(2^{p-1}-1)\\ so\\ 2^{p+1}\text{ is a factor of }N\)

So I have shown that  2^(p+1) is a factor of N

Which is the other way around from what you asked.

1,000 + 500 + 250 =1,750 ml-solution kit

1,000/1,750 x 300 =171 3/7 ml of solution A,

500/1,750 x 300 =85 5/7 ml of solution B

250/1,750 x 300 =42 6/7 ml of solution C

171 3/7 + 85 5/7 + 42 6/7 =300 ml solution.

To find the length of the diagonal of a square, multiply the length of one side by the square root of 2: If the length of one side is x... The central angle of a square: The diagonals of a square intersect (cross) at a 90-degree angle.