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:
hope this help
Step-by-step explanation:
2⁴×2³/2⁵×2⁴
= 
Answer:
they are equal
Step-by-step explanation:
Consider the right triangle ABC with sides a, b, and c as shown in the figure.
Let m(\angle A)=\alpha, and m(\angle B)=\beta.
\alpha +\beta=90^{\circ}, so angles A and B are complementary.
According to the definition of sine, and cosine:
\displaystyle{ \sin \alpha= \frac{opposite\ side}{hypotenuse} =\frac{a}{c} , and
\displaystyle{ \cos \beta= \frac{adjacent\ side}{hypotenuse} =\frac{a}{c}
Answer:
I think it's supposed to be 8x+2=14
A=LW and L=W+6, W=L-6 using this W in the area formula
A=L(L-6)
A=L^2-6L
L^2-6L-A=0 and we are told that area=72 so
L^2-6L-72=0 factor
L^2-12L+6L-72=0
L(L-12)+6(L-12)=0
(L+6)(L-12)=0, since L>0
L=12 meters