What is the main job of the legislative branch
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The volume of the prism, in cubic units is V = 1/2*x³ + x²
The figure and options are in the figure attached
<h3>What is an Oblique Prism ?</h3>An oblique prism is a polyhedron figure , with a rectangular base and triangular side faces .
It is given that
The oblique prism below has an isosceles right triangle base.
In the figure attached, the oblique prism is shown.
The volume of the prism is given by
V = b*h
h is the height and b is the Area of the base
It is given that the base is an isosceles right triangle, its area is:
Area of a Triangle = (1/2) base * height
here the base and height is x
b = 1/2*x²
The height of the prism is (x + 2).
Then, the volume is:
V = 1/2*x²*(x + 2)
V = 1/2*x³ + x² cu. units
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Answer:
The half-life of the radioactive substance is 135.9 hours.
Step-by-step explanation:
The rate of decay is proportional to the amount of the substance present at time t
This means that the amount of the substance can be modeled by the following differential equation:
Which has the following solution:
In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.
After 6 hours the mass had decreased by 3%.
This means that . We use this to find r.
So
Determine the half-life of the radioactive substance.
This is t for which Q(t) = 0.5Q(0). So
The half-life of the radioactive substance is 135.9 hours.