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×
Answer:
16k^2 + 62k + 21
Step-by-step explanation:
We can distribute:
(8k + 3)(2k + 7)
(8k)(2k) + (8k)7 + 3(2k) + 3(7)
Now, we can simplify:
16k^2 + 56k + 6k + 21
16k^2 + 62k + 21
Answer:
I believe that it would be y=$0,25x+$5
Step-by-step explanation:
The initial cost to get into the arcade is $5 so that would be the y-intercept (b) in a slope equation (y=mx+b). Since each game costs $0,25, then that would be the slope (m) and x would be the number of games she played. y would equal the total amount of money spent. So if she played 10 games, substitute 10 for x and multiply by 0,25 and take the answer and add 5 to get the total amount.
Answer:
C. 6x+3
Step-by-step explanation:
Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.
3*2x is 6x.
3*1 is 3.
This results in 6x+3.
