Use the equation y=ae^k^t[/tex], where a represents the initial amount, t represents time and k is the rate of growth or decay. After 12 hours, half of a 16-gram sample of a radioactive element remains.

Question 1
Find the constant k for this element. (4 places)
Write the equation for modeling this element.
If 2 grams of the sample remains, how much time has passed? (nearest whole number)

Question 2
After 22 hours, 25% of a sample of a random element remains. Find the constant k for this element- and write the equation for modeling it's exponential decay.

k = (4 places)

equation
How many samples would remain after 25 hours? (1 place, use a percentage. ex. 16.4%)

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

can you make your screen more see able?

then i might be able to .

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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