How long will it take for 750 mg of a sample of radium-225, which has a half-life of about 15 days, to decay to 68 mg?
2 answers:
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Answer:
Formula for the Arc length is given by:
As per the statement:
radius of circle(r) = 6 units
Angle () =
radian
Use conversion:
=
then;
substitute these given values we have;
Use value of
or
Simplify:
Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units
Answer:
Step-by-step explanation:
To complete the square, we first have to get our equation into form.
First we add 16x to both sides:
And now we subtract 62 from both sides.
We now have to add to both sides of the equation. b is 16, so this value becomes
.
We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because and
.
We can now take the square root of both sides.
We can now isolate x on one side by subtracting 8 from both sides.
So our solutions are
Hope this helped!
Answer:
dy/dx at x=6 is 0.334
Step-by-step explanation:
The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows: