Answer:
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Given that the half life of carbon-14 is 5,715 and that 6 g of the isotope is remaining after 1,000 years, the initial quantity of the isotope is obtained as follows:
Recall that the amount remaining of a radioactive substance with initial quantity No and half life t(1/2) after t years is given by:

Thus:
You use the tan/cos/sin rules
So we know that the hypotenuse=46.8, opposite=44
We can use sin (negative) to find it
sin^-1=opp/hyp
sin^-1=44/66.8
=70 degrees
Hope this helps!! :)
hope this helps you....have a nice day..
The first step for solving this equation is to write

in exponential form with a base of 5.

=

Write

in exponential form with a base of 5.

=

Since the bases on both sides of the equal are the same,, set the exponents equal.
2x + 4 = -4x
Move the constant to the right side of the equation and then change its sign.
2x = -4x - 4
Now move the variable to the left side and change its sign.
2x + 4x = -4
Collect the terms with an x variable.
6x = -4
Lastly,, divide both sides of the equation by 6 to get your final answer.
x =

Let me know if you have any further questions.
:)