I believe the answer is D! Hope you get it <3
Answer:
The expression that represents the number of days until only 10% remains is T((d) 10 %) =100×.
Step-by-step explanation:
The equation for half life is of the form
A = A₀×.........................................................................(1)
Where
A = Final amount
A₀ = Initial amount
t = Time
h = Half life
For the equation T(d) = 100×2⁽⁻²⁾....................................(2)
We have by comparison with the equation for half life
2 ≡ and and the equation (2) can be written as
Percentage remaining after 2 half lives is
×100=100×
However if the half life of Technetium-99m is 6 hours then we have for one day
×100=100×
Therefore an expression that represents the number of days until only 10% remains is
×100=100× = 10 %
=
= ㏑ = ㏑()
= ×㏑ = ㏑()
= = 3.322
Therefore the expression for the number of days 10 % of Technetium-99m will be remaining is
T((d) 10 %) =100×
y= (-5/2)x - 22
because 5x+2y=12 turns to y=(-5/2)x + 6 and the line parallel to it has to have the same slope so you have to just get the y intercept by plugging in -10 into the equation (-5/2)(-10)+?=3 and ?= -22.
The answer is the 3rd option. hope it helps
The answer is B, thats the only one that shows both the slope and y intercept correctly