All Answers 358116 Answers

2(3c+2d)=6c + 4d, which is your answer.

114 is 38% of what number

n.38=114

n=114/.38

n=300 which is your answer.

3.1415926535897932384626433832795.It's the aquare root of this number, which is:

1.7724538509055160272981674833411

hyperbolic sine.

how to find length of hypotenue

You have to have either the other two sides, or one side and one angle.

what is 17300 divided by 69=17,300/69=250 50/69 which is your answer.

6)(6^3)=6^5=6^2

Thanks Eloise,  :))

Hi TR,

It is not know if the Trojan Horse was real of if it was just a fable.

It doesn't matter it is a good story.  :))

-------------------------------------------

Today I vistied the Basiilica cistern.  It is ha huge water reservoir that was built under the city.

It would be really spooky if there was a blackout and you were down there!!

Again I could not upload pics - are other people uploasding pictures?

Anyway.

Here is the cistern.

https://gyazo.com/54363600c75cc72749916509a5450e04

Here is some information about it

https://gyazo.com/a69b7cf6c05c740945355ec7927b09db

Here are some fish that have always been used to check that the water quality is alright.

In a seige situations the enemy might try to poison the water supply.  Better that the fish die first!

Some of thse fish were really big!

https://gyazo.com/79680a448211d8ca4a50f1da0375617a

The base of this column has got an upside down portrait of Medusa.  Persius cut of Medusa's head of snakes and after that it could be used upside down to ward off evil.  Perhaps someone would like to expand on this.  I have lots of conflicting versions of why Athena turned Medusa'a beautiful hair into snakes in the first place.  :/

https://gyazo.com/40c516df06e2135ca764ddd6de5a9832

Some of the columns are a little different from others. This one is covered in peacock eyes.  The eyes represent the hundreds of slaves that died during the construction of the cistern.  

https://gyazo.com/75aa829349ec8ec2cfb452453089f3f2

I hope that you enjoy these shots.   :)) 

If you want to comment you can do so on this thread.  This is not a proper wrap thread so it is ok .   :/

tan(a)=.1679=9.53 degrees.

1/6(-5)means: 1/6 X -5=-5/6 which is your answer.

g (g(-2) )

Go to x = -2 on the graph........look at function g  .....what is it's y value when x = -2??? →  - 1 ....so....

g(-2) = -1 

So ...... g(g(-2)) =  g(-1)      go to x = -1.....look at function g.....

what is its y value when x = -1???? → 1       and that's your answer

f(g(1)) 

Go to x = 1 on the graph.....look at function g.....what is its y value there??   →  5

  So  .....g(1) =  5

So......f(g(1)) = f(5)   now go to x = 5 on the graph....look at function f......what is its y value there???  →   - 6      and that's your answer

Both the number of plates and the number of cups have beeen reduced by the same factor....i.e   20/85 = 24/102 , (4/17) so the price will be reduced by the same factor  or    4/17 x 13.6 = $3.20

64pi = pi*(radius)^2       divide out pi

64  = radius^2   take the positive root of both sides

8 = radius

=12

Here is how you get 12, step by step:

Simplify the following:
((2^5/2^4)^2 (3^3)^2)/3^5
For all positive integer exponents (a^n)^m = a^(n m). Apply this to (3^3)^2.
Multiply exponents. (3^3)^2 = 3^(3×2):
((2^5/2^4)^2 3^(3×2))/3^5
Multiply 3 and 2 together.
3×2  =  6:
((2^5/2^4)^2 3^6)/3^5
For all exponents, a^n/a^m = a^(n-m). Apply this to ((2^5/2^4)^2 3^6)/3^5.
Combine powers. ((2^5/2^4)^2 3^6)/3^5 = (2^5/2^4)^2 3^(6-5):
(2^5/2^4)^2 3^6-5
Subtract 5 from 6.
6-5 = 1:
(2^5/2^4)^2 3
For all exponents, a^n/a^m = a^(n-m). Apply this to 2^5/2^4.
Combine powers. 2^5/2^4 = 2^(5-4):
(2^5-4)^2 3
For all positive integer exponents (a^n)^m = a^(n m). Apply this to (2^(5-4))^2.
Multiply exponents. (2^(5-4))^2 = 2^((5-4)×2):
2^((5-4)×2)×3
Subtract 4 from 5.
5-4 = 1:
2^2×3
Evaluate 2^2.
2^2 = 4:
4×3
Multiply 4 and 3 together.
4×3  =  12:
Answer: | 
| 12

(2^5*2^-4)^2 *(3^3)^2 *3^-5

(2)^2 * (3)^6 * 3^(-5)  =

4 * 3  =

12

Do you mind doing C and D for further explanation. I understand but I still need more clarification. I dont understand when its the opposite f(g(1) or g(g(-2))

Guest #1

Please be nice and polite! These are often young children in the 1st. or 2nd.Grade. What maybe simple and obvious to you and me, maybe totally strange to them. Thank you.

a) y=1/3x +2 and y=3x-6

Here's another way to do this.....we put the second function into the first and evaluate.......if we get "x" back out, we then put the first function into the second and see if we again get "x" returned again......if we get an "x" in both cases, they are inverse functions.....it's easier to do than explain!!!...so we have

The second function put into the first:

(1/3)(3x -6) + 2   =  x - 2  + 2   = x       so far, so good

The first function put into the second:

3[1/3)x + 2] - 6   =   x + 6 - 6  = x

Yep....they're inverses.....the order in which we do this doesn't matter......we could have done the second thing first.......Note......if we don't get an "x" out in the first step, there's no reason to do the second........thet will not be inverses........we have to get an "x" returned in both cases  !!!

Hope this helps.......!!!!!.

I can't make out (a), but here's (b).....

g(f(-2)).......let's look at the f(-2) part, first.....this says  to look for the associated y value where the x value for "f" = -2

So..... we go to x = -2 on the graph  and look at the y value there for the graph of "f"...this is = 1 .......so  f(-2) = 1   ....this makes sense.......(-2, 1)  is a point on "f".......when x = -2, y = 1  ....!!!

And now we have  g(f(-2)) =  g(1)

And now we do the same thing, again.....we look at the graph of g where x = 1 and find the associated y value.....so......when the x value for "g" = 1, the associated y value  = 5

And 5 is your final answer.......!!!

Hope this helps......!!!!

(125/27)^(4/3)=??, If you it broken down, then you can also write like this:

[(5^3)/(3^3)]^4/3

(5^3)^4/3=5^4=625, we do the same for the bottom:

(3^3)^4/3=3^4=81, and then we divide one by the other:

(5^4)/(3^4) =625/81=7 58/81. I hope that is what you want.

Hallo guest!

Thank you all for the responses! I'll check in with my teacher tomorrow! :)

can you help please @CPhill please

4.7168x10^23 is what is showing on my calculator in mathmatical notation. ;)