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SIKE! That was 7 years ago!

I pity you guest.

sin(α+β) = 17/65.

2x+3x+c+d=x

4x=c-d

x=4(c-d)

x=4c-4d

sorry, I can't, I appreciate the try.:(

The greatest value of b is 4.

sorry, I'm experiencing some technical difficulties

The radius of the semicircle is 10, so its area is 1/2*pi*10^2 = 50*pi.

sorry, wrong, let me just give you the graph so you can see!

the answer is -11, I think I forgot to add two lines between 2x+7, there is no sign on the keyboard, and i'm not like those cheater guests who just want answers, who copy and paste!:), nice try, but stay safe and healthy.

2x + 7 <= 16

       2x <=  9                                  (subtract 7)

         x  <= 4.5                               (divide by 2)

The greatest integer value for x is 4; there is no least value.

i agree with CPhill, you're a genius, Chris!!!!

Thank you so much!

sun(x) + sin(x)·tan²(x) 

=  sin(x)[ 1 + tan²(x) ] 

=  sin(x)[ sec²(x) ] 

=  sin(x)·sec(x)·sec(x)

=  sin(x)·[ 1/cos(x) ]·sec(x)

=  [ sin(x)/cos(x) ]·sec(x)

=  tan(x)·sec(x)

y^2  = k/ x^3

15^2 =  k/2^3

225 = k / 8

225 * 8   =  k

1800  = k

So

y^2  =  1800 / 1^3

y^2  = 1800     take the positive root

y =  √ 1800  =   √  [ 100 * 9  * 2  ] =       30√ 2

cos (x / 2)  will  be  a Q2  angle if  x  is in Q3.....so....cos (x /2 )  is negative  ...so

cos ( x / 2)   =    - √  [  ( 1 +  cos x )   / 2  ]   = - √  [  (1 - 1/5) / 2  ]  = - √  [ 4 / 10]  = - 2/ √ 10  =

- 2√ 10 / 10   =

- √ 10  /  5

4th  one.....here's what I get.......

Anchor  a boy in any position

If  no  boy  can be  next to another,  they  must alternate  B - G - B - G    etc.

So.....the  number of arrangements  =   10! * 9 !

I get  the same result, CoolStuffYT,  but  with a slightly different method.....  

Thank you guys so much!

Third  one 

This is the same as the  number of "words"  we  can form with the letters  YYGGGBBBB

This  is

     9!

______  =   1260

2! 3! 4!

Answered question 2 here: https://web2.0calc.com/questions/help-appreciated_19

Answer to #3: 1,260

Explanation:

Since order doesn't matter, we can use the choose function.

2 are yellow, 3 are green, and 4 are blue.

\({9 \choose 2}=36\), since we are choosing 2 yellow out of 9 total.

Then \({7 \choose 3}=35\), 3 green out of 7 remaining.

4 out of 4 blue is 1.

36*35=1260.

You are very welcome!

:P

(Can someone double check? Thanks)

Answer to #1: 2^95

Explanation:

The person has 95 candies left. If he eats at least one per day, then he can the eating out for as long as 95 days (1 per day), or 1 day (95 per day).

Or in other words, 95 choose 1 + 95 choose 2 ... + 95 choose 95.

That sum is simply 2^n (a formula you should know for this), and n=95, so the answer is 2^95.

You are very welcome!

:P

15%   would be    .15 x 14 = $2.10    20% would be $ 2.80

Round if ya want to    20    15%   $2.00     20%   TO  3.00

As an aside....a lot of people (me included ) DO NOT TIP on the included taxes....only on the price of the meal !!!