Answer:
Step-by-step explanation:
Given a sample M(t)
M(t) = 120 • ( 81 / 625)^t
When is the fraction of the mass decay to 3/5 of it's mass
Generally
M(t) = Mo•(k^t)
The original mass is 120
Mo = 120
So, we want to find time when it decay to 3/5 of it's original mas
M = 3/5 × 120
M = 72
Then,
M(t) = 120 • ( 81 / 625)^t
72 = 120 • ( 81 / 625)^t
72 / 120 = ( 81 / 625)^t
0.6 = ( 81 / 625)^t
Take natural logarithmic of both sides
In(0.6) = In(81/625)^t
In(0.6) = t•In(81/625)
t = In(0.6) / In(81/625)
t = In(0.6) / In(0.1296)
t = 0.25 monthly
t = ¼ monthly
Answer:
5 because once you evaluate your functions and simplify your equations you get all 5 solutions.
Step-by-step explanation:
Answer:
c) 10 units
The length of side RT of the polygon RT = 10
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given the coordinates of vertices R and T
R( -7 ,3) and T (3 ,3)
we have to find the length of side RT
We will use distance formula
RT =
<u><em>Step(ii):-</em></u>
RT
RT = √100
RT = 10
The length of side RT of the polygon RT = 10
Sometimes.
The LCM of 6 and 7 is 42, but the LCM of 2 and 10 is 10 .
Answer:
hi
Step-by-step explanation:
Both parallel sides are called bases. To find the area of a trapezoid we need to divide it into two triangles. Both triangles produced have the height h. The area of the trapezoid is the sum of the areas of the two triangles.