Answer:
a)
, b)
, c)
, d) 
Step-by-step explanation:
a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

b) The general solution is found after separating variables and integrating each sides:

Where
is the time constant and 
c) The time constant is:


The particular solution of the differential equation is:

d) The amount of radium after 300 years is:

Answer:
C. x = 18, y = 9
Step-by-step explanation:
In a 30-60-90 triangle,
longer leg =
(shorter leg)
hypontenuse = 2(shorter leg)
In your case, the shorter leg = 9
therefore, y = 9
and x = 2(9) = 18
C+d=14
c-6=d
then you will plug c+6 in the first equation and you will get:
c+c-6=14
then you get
2c=20
c=10, so the cat is ten years old
the cat is 6 years older than the dog, so the dog is 4 years old
hope that helps :)
Answer:
10 4 for question one
Step-by-step explanation:
I don't have one I just know how and I did this
Answer:
301.719
Step-by-step explanation:
Area of a circle is 3.142 x r². Hope this helps!!!