Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 8800 grams, how much of the element would remain after 25 years

the element would remain after 25 years is 2,325 grams !

Step-by-step explanation:

Here we have , Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 8800 grams, We need to find how much of the element would remain after 25 years . Let's find out:

According to question ,  Element X is a radioactive isotope such that every 13 years, its mass decreases by half , And  initial mass of a sample of Element X is 8800 grams . So , following equation will be framed for the mass of sample X after t years as :

⇒

⇒

Now , the mass of element after 25 years is given by :

⇒

⇒

⇒

Therefore , the element would remain after 25 years is 2,325 grams !

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.