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XOY is a quarter-circle. Semicircles are drawn with diameters OX and OY as shown. Find the area of the shaded region given that XO

They're not equal.

The object of the exercise will be to calculate the values of a and b in order that the lhs and rhs are identical, (when the terms on the lhs are grouped to form a single term).

Actually, 5/7 is right. If I read the question right, you can tell that only 2 consecutive numbers have a difference smaller than 2. We know that there are 6 consecutive pairs of numbers in the set, and 7C2 = 21 total pairs. So the probability that the pair isn't consecutive is 1 - 6/21 which is 15/21 or 5/7. I think you misread the question and put the negative answers too, when the question says "positive difference" .

 - Pie

In ordinary arithmetic, the expression has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a ≠ 0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 00 is also undefined; when it is the form of a limit, it is an indeterminate form. (Copy pasted from WIkipedia)

Let lily's weight =L
Arthur's weight =L + 54
L + L + 54 =6L - 280, solve for L
2L - 6L = - 280 - 54
-  4L     = - 334
L = 83.50 lbs - Lily's weight
83.50 + 54 = 137.50 lbs - Arthur's weight.

Just at the end.

For instance:  add these numbers together:  0.545, 0.545, 0.545, 0.545, 0.545:

Unrounded, you get 2.725.

If you round at the end (to the nearest hundredth), you'll get 2.73.

If you round at every step, you would have  0.55, 0.55, 0.55, 0.55, 0.55  for a total of 2.75, which is too large.

Sometimes, it will make no difference; but, to be save, only round the last answer.

ALWAYS, Just at the end. Never the intermediate steps.

Since  2 + sqrt(5)  is a root  2 - sqrt(5)  is also a root.

This means that  [ x - (2 + sqrt(5)) ]  and  [ x - (2 - sqrt(5)) ]  are factors.

Multiplying these factors together gives you  x² - 4x - 1.

Since  1 - sqrt(2)  is a root  1 + sqrt(2)  is also a root.

This means that  [ x - (1 - sqrt(2)) ]  and  [ x - (1 + sqrt(2)) ]  are factors.

Multiplying these factors together gives you  x² - 2x - 1.

Multiplying  x² - 4x - 1  and  x² - 2x - 1  together gives you  x⁴ - 6x³ + 6x² + 6x + 1.

I am so sorry if i came off rude to you all... I cant create an account because my family wont let me. I use this Wolf as a way to create an account with out creating one. 

So sorry if I came off rude I just really wanted to know...

thx anyways.

Nice answer Iamhappy,  (although you did not take 25 from both sides)

You do not need to use the quadratic formula at the end though. It is not necessary.

A quick sketch would help too.

The asker can finish it by him/herself now anyway.      It is better if they do some of their own thinking.

As follows:

sorry, I really tried, but someone needs to check this. :(

Why do people post questions without identifying who they are?

You say you are wolf but next time you could be kitten or frypan.

Usernames are used for identification.

Membership is free and easy so why would you ask questions like this anonymously?

We will solve this system by substitution. 

First, isolate the variable x for the second equation to get \(x=15+3y\)

Next, for \(x^2+y^2=25\), substitute x with \(15+3y\) that we obtained from the first question.

We get \((3y+15)^2 +y^2=25\). 

We expand the equation to get \(10y^2+90y+225=25\)

Subtract 25 from both sides \(10y^2+90y+200=0\)

Solve with the quadratic formula 

Simplify (it seems like a lot, but it actually wasn't so much computation)

After I found y, you should be able to plug it into the equation x-3y = 15, I don't have time to do that since I have to go, but it should be quite easy. :)

y = -5 = \(\frac{-90\pm \sqrt{90^2-4\cdot \:10\cdot \:200}}{2\cdot \:10}\)

y = -4 = \(\frac{-90\pm \sqrt{90^2-4\cdot \:10\cdot \:200}}{2\cdot \:10}\)

My asshole

It says that 3 is wrong

sumfor(k, 1, 99, k / (1 + k^2 + k^4)) = 4950 / 9901

There is only 3 signs plus brackets

These are some options to think about.

There are too many to just count them, you need a method.

All times - easy    1 way

All plus  - easy      1 way

1 times and 2 plus     4C2+2*4C2+4+4C2 = 6+12+4+6 = 28     Maybe

2 times and 1 plus     4+6+6= 16   Maybe

1+1+28+16 = 46  maybe

Discuss your thoughts

Why? Why do people put random answers with next to no information or false information.   

I didn't know that they were, at least not to an extent worth mentioning.  Can you cite some examples? 

.

Complete the square of  4x² + 5x + 2

Step 1:  Separate the  4x² + 5x  part from the  2:     [ 4x² + 5x ] + 2

Step 2:  Factor out the 4 from the first part:              [ 4(x² + 5/4x) ] + 2

Step 3:  Complete the square of  x² + 5/4x

              --  Divide  5/4  by 2   --->   5/8

              --  Square this result   --->   25/64

Step 4:  Be careful when putting this into the parentheses, because this value will be multiplied by 4, so you'll

              have to subtract out  4 · 25/64  =  25/16  to keep the expression balanced:

                                                                               [ 4(x² + 5/4x + 25/64) ] + 2 - 25/16

Step 5:  Simplify:  4(x + 5/8)² + 7/16

If I draw four cards from a deck of 52 cards, what is the probability that I will have one card of every suit?

First card:                p1 = 1;

Second card           p2 = 39/51

Third card               p3 = 26/50

Fourth card            p4 = 13/49

Overall probability = p1*p2*p3*p4 

I'll leave you to do the number crunching.

Got it, thanks!

Well, it's basically the same reason as: 'Why do people bully". Nobody really knows why this happens, you'll have to ask the prankers yourself. But, right now, people will do anything to get their likes up, whether on Instagram or here. 

Maybe they are being bad just to be bad, or maybe they don't realize that they are being bad, or maybe they are just doing that to get their scores up.

But remember, nobody is perfect, and sometimes, people make mistakes. So, if someone makes a mistake in their math and gets the wrong answer or did not do it the right way, it does not mean that they are trying to troll anybody.

Concerning the question about people giving no information or little to none, nobody knows except for the doer themselves. If you really want to help those people, you can still add your answer, EVEN if it already has multiple relpies.

Hope this helped!

Here's one way of doing this:

First I would find f ^-1(x)     

Have you done that?

What is it?