All Answers 358093 Answers

Let's suppose that it is true....then, by a property of logs, we can wtite

log(ab) = log(a + b)

But, in general, ab ≠ a + b.  Thus, this "identity" isn't true.........

8b+2=10b

try taking 8b off both sides and see if that helps. 

(2)       4,6,25,50,75,100   Magic number is 821

$$\dfrac{(6+4*50)*100-75}{25} = 821$$

$$\left( 50+6 \right)
\left( \dfrac{4*100}{25}\right)-75 = 821$$

$$\left( 50-6 \right)
\left( \dfrac{25*75}{100}\right)-4 = 821$$

$$\left( \dfrac{25*75}{50}+100\right)*6-4 = 821$$

$$\dfrac{( 75-25)*100-50 }{6}-4 = 821$$

$$\dfrac{( 50*100+25-75}{6}-4 = 821$$

$$50-4+25*(6-75+100) = 821$$

$$75-4+6*(100+50-25) = 821$$

$$100-4-25+6*(50+75) = 821$$

(1)       2,8,25,50,75,100  Magic number is 431

$$\boxed{\dfrac{\left(50-{\dfrac{100}{25}}\right)*75-2}{8} = 431}$$

$$\boxed{\dfrac{50*75-2-100}{8}-25 = 431}$$

$$\boxed{\left( 100 + \dfrac{75}{50}
\right)*\left( \dfrac{8}{2}\right) = 431}$$

Fri 22/8/14

* 1) Bearings with Vectors (Trigonometry or vectors)

@@ End of Day Wrap :     Thurs 21/8/14          Sydney, Australia         Time 10:20pm        ♬  

Hello all,

Well, Camelot is well endowed with great answerers and today these were Will85237, CPhill, AzizHusain, NinjaDevo, TakahiroMaeda, Rosala and Alan.  Thankyou, you are all wonderful.  The Queen is most pleased! 

I've received some great feedback on the new Sticky Topic Thread "Topic Categories"  

Everyone is invited to comment here.  

Together we should be able to work out some nice organisational improvements for Camelot.

Now for some interest threads:

* 1) Woking with speed (This is a rates question Ninja)  

CPhill recommended this question.  It is an interesting one.  

Dragon - What x and y part?

also can you continue this in a new thread on the forum please.

This thread is intended more for information - not so much for questions.  

You can giveyour new thread a title something like LaTex help 

If you want to refer to something that I have written here maybe you could copy it over so I know what you are talking about.   

the formulary page on this sitecan be very useful.

Look here.

Chris pointed out that this was a really good question and I just want to try and work through it myself.

I find this type of question quite challenging to get my head around.  

This one is a little easier because the questions are ordered and lead you in the right direction.  

18) How long (in hours) did the stray run to catch up? How far did it run?

The straggler ran for five minutes at 10miles per hour.

5 minutes is   $$\frac{1}{12}$$   of an hour

$$\\\frac{10miles}{hour}\times \frac{1}{12} hour\\\\
=\frac{10miles}{hour}\times \frac{1hour}{12} \\\\
\mbox{The hours cancel out}\\\\
=10miles\times \frac{1}{12} \\\\
=\frac{10}{12}miles \\\\
=\frac{5}{6}miles \\\\$$

19) and 20)

The herd was travelling at 6m/h.  The straggler ran for   $$\frac{1}{12}$$  of an hour

In this time the herd travelled       $$6\times \frac{1}{12}=\frac{1}{2}mile=0.5miles$$

Then write an expression for the total distance the herd traveled.

Let x represent the distance (in miles) that the herd traveled while the stray elephant stood still.

$$\\x+\frac{1}{2}=\frac{5}{6}\\\\
x=\frac{5}{6}-\frac{1}{2}\\\\
x=\frac{2}{6}\\\\
x=\frac{1}{3}mile\\\\$$

Almost. 

Log(a) + log(b) = log(a*b)  //not log(a+b)

16+18+20+22+24=

I think that you can finish it.   

Aziz, I think that you should point out that this is an approximation.  

Yes I'll go for Alan's second answer,

Consider this triangle,         $$sin\theta = \frac{o}{hyp} = cos(90-\theta)$$

so in your question

$$\\sin3\theta = cos(90-3\theta)=cos(\theta-26)\\
therefore\\
90-3\theta=\theta-26\\
116=4\theta\\
\theta=29^0$$

It is just a mathematical expression.

They might mean cents/mile

Like

Sam uses his his car for work.  He gets reimbursed 55.5c/mile.  how much reimburement will he get if he drives 103.9 miles?

Ans: 

$$$\frac{55.5c}{mile}\times $103.9 miles\\\\
The miles cancel out leaving\\\\
55.5*103.9 cents$$

$${\mathtt{55.5}}{\mathtt{\,\times\,}}{\mathtt{103.9}} = {\mathtt{5\,766.45}}$$

5766cents = $57.66

45645165^(5!) x (Pi^2)! - (729.24!)^6 + 3(234! - 222!) -(34!^3)^(6!) =

$$({{\mathtt{\pi}}}^{{\mathtt{2}}}){!}$$  makes no sense to me.    I can stick my tongue out too      

5 squared is 25         $$5^2=5\times 5 = 25$$

so

square root of 25 is 5        $$\sqrt{25}=5$$

Square and square root are opposites of each other.

If you type it into the calc it is sqrt(25)  You need the brackets

$${\sqrt{{\mathtt{25}}}} = {\mathtt{5}}$$

Hey Ninja, after all that great effort aren't you going to change it back to a mixed numeral?

anyway I am going to take a differerent route. 

$$\frac{1}{4}-12\\\\
=\frac{1}{4}-11\frac{3}{4}-\frac{1}{4}\\\\
=-11\frac{3}{4}\\\\$$

Editing answers to make them correct is good but if you think someone may have seen your wrong or different answer you should state that an edit has been done. (Takahiro did this)  

Otherwise people get confused - they think that they have been seeing things. 

Thanks for dragging that post out Ninja 

Do you need to know how to do this without just using a calculator?

If that is what you want you need to state it in your question.

Otherwise you probably should have got your own answer using the site calculator.

If you want more help please ask. 

Remember:

Some Old Hags,         Sin=Opp/Hyp

Can't Always Hide,     Cos=Adj/Hyp

Their Old Age.           Tan=Opp/Adj

You have adj and hyp so the ratio is Cos.

Now if you want to find an angle you must use inverse trig. That is  $$Cos^{-1}$$  but the Web2 site calc does not have that.  Arc tan is exactly the same thing!  So use acos  

acos(adj/hyp) = acos(13/23)

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{13}}}{{\mathtt{23}}}}\right)} = {\mathtt{55.582\: \!611\: \!289\: \!558^{\circ}}}$$

Hi anonymous.

Thanks for joining in.  

You were right up to 

a-4=-1

now add 4 to both sides

a-4+4=-1+4

-1,0,1,2,3,4,5,  They are the numbers on my invisable number line.  Start at -1 and go 4 places in the positive direction.   You will get to  -1,0,1,2,3,    

a=3

Its a bit tricky but you divide by 10 OR multiply by 1/10  

Will's way is the easiest to understand but this is a quicker method.

you start with 100% and decrease it by 24%. That leaves 76%

76% of 995 = 76/100*995

$${\frac{{\mathtt{76}}}{{\mathtt{100}}}}{\mathtt{\,\times\,}}{\mathtt{995}} = {\frac{{\mathtt{3\,781}}}{{\mathtt{5}}}} = {\mathtt{756.2}}$$

New price = $756.20