Answer:
D. x = 1.7 or x = 5.7
Step-by-step explanation:
The left side of the equation is graphed in blue. The right side of the equation is graphed in red.
The solution of the equation is the x (and y) that make both equations true.
On the graph these solutions are the points where the two graphs intersect.
Those two points have x values that are positive (and y's that are negative) Only answer D. has x-values that correspond to the x-values of the points of intersection.
Answer:
(a) A = (20mg)/(2^(t/30))
(b) 12.6mg
(c) 129.6years
Step-by-step explanation:
To calculate the amount remaining after a number of half-lives, n, we can make use of:

Where A = amount remaining
B = initial amount

(a) A = (20mg)/(2^(t/30))
(b) Mass after 20years
A = (20mg)/(2^(20/30)) ≈ 12.6mg
(c) After how long will only 1mg remain:
1mg = (20mg)/(2^(t/30))

Taking log of both sides we have:
Log(20) = (t/30)log(2)
t/30 = (log(20))/(log(2)) ≈ 4.3
t/30 = 4.3
t = 30 x 4.3 ≈ 129.6years.
Answer: Line AC = 16
Step-by-step explanation: We have two angles and one side given. The side given is facing one of the angles so we apply the Sine Rule;
a/SinA = b/SinB
We can now substitute values as follows;
AC/Sin 77 = 14/Sin 58
We cross multiply and we have
AC = (14 x Sin 77)/Sin 58
AC = (14 x 0.9744)/0.8481
AC = 13.6416/0.8481
AC = 16.08
Approximately, Line AC = 16.
She must by 60 tiles for the prices to be even. 24+0.79x=1.19x x=amount of tiles. you subtract 0.79x from both sides. you should get 24=0.4x. then you divide 0.4 from both sides. you should get 60=x