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Hi guest! Ill try my best! I think the answer is \(\frac{\sqrt{3}}{4}\).

Hmm i can see your first part but not the second! Would you mind wrighting it in latex? TY!!

The  half-life  of a substance is  the  time it takes  for the substance  to decompose  to  1/2 of its  original amount

In the  case....it takes 245  days   to  decompose to 79/2  =  39.5  g

What are you asking us to do?

Okay cphill you beat us i guess

I think \( \sin 70^\circ \cos 50^\circ + \sin 260^\circ \cos 280^\circ.\)equals to \(\frac{\sqrt{3}}{4}\). I have heard that you can use caculator to symplifiy this! But I still think im right.

We  have  that

43  =  79 * (1/2)^(t / 245 )        divide  both sides  by  79

(43/79)  =  (1/2)^( t / 245)      take the log of both sides

log ( 43/79)  = log (1/2)^(t/245)     and we  can write

log ( 43/79)  =  (t / 245)  log (1/2)         

245 log (43/79)  / log (1/2)  =  t  ≈    215  days   

Hmm if its half wouldnt it live longer?

Hehe thanks :D

Nice try though cal!

I think so... CPhill beat me to it :(

not sure how to do the graph 

What is the change?

Wait what does it mean by half-life? Does it mean that its half of the life span?

Thank you! Its okay I got 8 though and it was right?

This was posted here:

If the arc of ABC is 244 degrees, what is the number of degrees in the measure of ABC? 

Angle   ABC = 360° - 244° = 116°  

Not enough info here....to see why

x  = k * y  / z

3 =  k * (6)  / 4

12  =  6k

2  = k

So  we  know  that

x  =   2 * 3  /   z

x  = 6 / z

But  we need  to also know   the value  of  x   to find  z

Just  a little trial and error here, qwertyzz......

ceiling (x) + floor (x)  +  x  =  4.8

ceiling  ( 1.8)  + floor (1.8)  +  1.8

          2   +    1       +    1.8    =

                   4.8

So

x   =1.8

The line  contains the points ( 4, -8)   and  (8, -18)

The slope of this line =  [ -18 - -8  ]  /  [ 8 - 4 ]  =  -10  / 4  =   - 5/2

The  equation of this line is

y =  (-5/2) ( x - 4)  - 8         multiply  throrgh  by  2

2y  = -5 ( x - 4)  - 16

2y = -5x  + 20 - 16

2y  = -5x  +  4

Put  into  standard form  Ax + By + C  =  0

5x  + 2y  -  4  =   0

The  distance from a point  (x, y)  = (15,-21)  to the line is given by

l   Ax + By + C  l             l  5 (15)  + 2 (-21)  -4  l               l 75 - 42 - 4 l                 29

______________  =     ____________________ =     ______________  =     _____   =

  √ [ A^2 + B^2 ]                √ [ 5^2  + 2^2]                            √29                          √29

√29   ≈   5.4

\($\sqrt{60x} \cdot \sqrt{12x} \cdot \sqrt{63x}$ \)

√[ 15* 4x]  * √ [ 3 * 4x ]  * √ [ 7 * 9 x ]  =

2 √ [ 15x ] *  2 √[ 3x ]  *  3√ [ 7x ]  =

12 √ [ 15 * 3 * 7 * x^3 ]  =

12x √ [ 5 * 3 * 3 * 7 * x ]   =

12x √ [ 9 * 35x ]   =

12x * 3 √ [ 35x ]  =

36x√ [ 35x ]

Distance   / Time  = Rate

Let  R  be  the  rate  we  are  looking for  ...so.....

[ 40(2)  + R(1)  ]

_______________  =   50          simplify

         3

80  +  R  =  50 * 3

80 + R   =   150      subtract  80 from both sides

R = 70    (mph)

tara had 1 5/8 ponds of dried nuts. she ate 1/4 pound of dried nuts each day for 6 days. how many pounds of dried nuts did tara have left after 6 days.

Let  the  number of boys  = B

Then  the number of girls  = (3/4)B

(1/2)  of the  boys = (1/2)B

(2/3)  of the girls  =(2/3)(3/4)B  = (1/2) B

So  the fraction  that speak French   =

B [ 1/2 + 1/2 ]                 1

____________  =     ______  =      4 / 7

B [ 1  +  3/4 ]               (7/4)