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:
2
a + 5
7
Step-by-step explanation:
Answer:
The Answer is: The first number is 20 and the second number is -2.
Step-by-step explanation:
Let f = first number and s = second number.
The sum is 18:
f + s = 18
Solve for s:
s = 18 - f
The difference is 22:
f - s = 22
Substitute:
f - (18 - f) = 22
f - 18 + f = 22
2f = 22 + 18
2f = 40
f = 20, the first number.
Solve for s:
s = 18 - f
s = 18 - 20 = -2, the second number.
Proof:
20 + (-2) = 18
20 - 2 = 18
18 = 18
Then:
f - s = 22
20 - (-2) = 22
20 + 2 = 22
22 = 22
Hope this helps! Have an Awesome Day!! :-)
Answer:
Yes.
Step-by-step explanation:
The triangle inequality theorem states that in order for something to be a triangle, any of it's two sides added together must be greater than the remaining side. Because 4 and 5 are the shortest sides and they satisfy the triangle inequality theorem, you can form a triangle.