Answer:
16.07 milligrams
Step-by-step explanation:
From the question,
Using the formula of radioactive decay,
R/R' = 2ᵃ/ᵇ..................... Equation 1
Where R = Original mass of the polonium-210, R' = Final mass of polonium-210 after decaying, a = Total disintegration time, b = half life of polonium-210.
Make R' the subject of the equation
R' = R/(2ᵃ/ᵇ)................ Equation 2
Given: R = 100 milligrams, a = 1 years = 365 days, b = 138.39 days
Substitute these values into equation 2
R' = 100/(2³⁶⁵⁰⁰/¹³⁸³⁹)
R' = 100/(6.222)
R' = 16.07 milligrams of plonium-210
<span>4.8 (x+4)=2.6
Use distributive property
4.8x + 19.2= 2.6
Subtract 19.2 from both sides
4.8x = -16.6
Divide 4.8 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x = -3.458</span>
Answer:
Given
f
(
x
)
=
4
⋅
7
x
For
x
=
−
1
we have
f
(
−
1
)
=
4
⋅
7
−
1
=
4
7
using
a
−
n
=
1
a
n
For x=2, we have
f
(
2
)
=
4
⋅
7
2
=
196
Step-by-step explanation:
Just talk about the differences and similarities between exponential and logarithmic functions. Talk about how the domain and range is affected by the different functions.