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yes ok no wonder why it was kind of hard XD I am in 8th grade

PreCalc :)

I think so

Are you talking algebra 1 or algebra 2 trig honors

When they say mean of 27 with first 5 terms, remember how to calculate for mean, that means the SUM of the first 5 terms is 27 * 5= 135

You gave me the SOLVING idea though!
 

You forgot how mean is calculated but solved it in the right way.

If solved correctly, the answer should be 8, which is what the answer sheet says.

I think it utilizes explicit formula. If someone else could solve it for other people who view this problem it would be great!

2nd question:

"2. The mean of the first five terms of an arithmetic sequence is 27, and the mean of the first eight terms of the same sequence is 39. What is the absolute difference between the first and second terms of this sequence?" By the way, what do you mean by the absolute difference between the first & second terms of this sequence? so we subtract the first mean from the second mean? That's what I did.. or we subtract the first term from the second term?

I think:

Let the first 5 terms of the arithmetic sequence be:   X , Y , Z , K, L

We know:

(X+Y+Z+K+L) /5 =27

"The mean of the first eight terms of the same sequence is 39" So I understood that it is the extention of the first mean 

Let the new 3 terms be F,S,Q

(X+Y+Z+K+L)/5 + F+S+Q=39 

we know that (X+Y+Z+K+L)/5=27

27+F+S+Q=39

F+S+Q=12

Ok so "Difference between the first and second terms of this sequence" 

first is 27-12=15

Not so sure.. maybe I understood it wrong.

Probably plus&minus 3√2?

2. Hint: Add 3 to both sides, then square both sides.

Subsituting 0 will get a complex number

1.) Here is an example

x=2 is has potential for extraneous roots because if you square both sides, and get x²=4, there are other possible solutions that DON'T solve the original equation.

Based on that, what do you think the answer is?

look, black is beautiful black is exellent. any dave fans here?    

Dave Chappelle?  Sure, I'm a big fan.  He's a riot. 

is @Ilovepuppies infected

I verify that the Guest's answer is correct and he deserves 5000 dollars, pay up now.

If you dont have a calculator

278 = 68%

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

278 = 68x/100

27800=68x

27800/68 = x

Answer = 408.8235294117647059

( √ 5)^2  *  (√3)^2  =

(5^(1/2))^2  *  (3^(1/2))^2  = 

    5      *       3     =

           15

(∛ 9)^3   *  ( √30 )^2  =

(9^(1/3)^3  *  (30^(1/3)^3  =

     9       *         30  =

           270

Factors of 20   are   1, 2, 4, 5, 10, 20

The cubes < 36   =   1, 8 and 27

It appears that three  numbers  are     4, 5  and 27

The diagonal length will be  √ [1^2 + 3^2] =  θ

The sin of (1/2)θ  = (1.5)/ [√ [10] /2  ]  =  3/√ 10

And the coc of (1/2) θ = .5 /  [ √ [10 ] / 2 ]  =  1/ √ 10

So

sin [2 (1/2)θ]  = sin(θ)  =  2 (3)(1) / ( √ 10)^2  =    6/10   =    3/5

Thank you very much, you are the first answer in 41 minutes. Thank you

Around 36.87 degrees.

The ratio 1/6 : 1/3 : 1/4 is also, when you multiply by 12, 2 : 4 : 3.

2+4+3 = 9 and 45 / 9 equals 5. The pile with the least is 5*2 = 10 dimes.

You are very welcome!

:P

Exp prob (red)   = 24 / 60  =  4 / 10   = 2/5

Theoretical prob (red)  = (1/2) 

Exp prob (blue)   =  14 / 60  =  7 / 30

Theoretical prob (blue)  = 1/6

Exp prob ( yellow)  =  22/ 60  = 11/30

Theoretical prob ( yellow)  =   2/6  =  1/3

15*π-2=45.1238898038

15*pi-2 = 45.1238898038468986