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:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
<span> 3*x+23-(56)=0 </span>
The answer for this problem is 26.
Answer:
x = 5.5 (nearest tenth)
Step-by-step explanation:
let x be the length of 1 side
given area of square poster is 30 in²
and
Area = (length of 1 side )²
hence
30 = x²
x = √30
x = 5.4772
x = 5.5 (nearest tenth)
3(x + 7) = 9(x - 1)
3(x) + 3(7) = 9(x) - 9(1)
3x + 21 = 9x - 9
<u>- 3x - 3x </u>
21 = 3x - 9
<u>+ 9 + 9</u>
<u>30</u> = <u>3x</u>
3 3
10 = x