Answer:
C
Step-by-step explanation:
C is not a function because 5 has two y values
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.
the answer to the question 3/8 is .375
9514 1404 393
Answer:
AD= 8
DC= 15
Angle a= 112°
Angle b= 68°
Angle c= 112°
Step-by-step explanation:
We have to assume the figure is a parallelogram.
Opposite sides of a parallelogram are congruent, so ...
BC = AD = 8
AB = DC = 15
Opposite angles are congruent, and adjacent angles are supplementary.
180° - ∠D = Angle a = Angle c = 112°
∠D = Angle b = 68°
Answer:
The formula to find the voltage is:
And the voltage is 4 volts
Step-by-step explanation:
To get the equation of voltage you need to isolate v in one side of the equation. In order to do that, you need to remove the divisor/denominator and its square. How will you do that?
First, multiply both sides with R:
That would result into removing the divisor R from the right side of the equation:
Next, square-root both sides:
That would result in removing the square of v from the right side of the equation:
Thus we get the equation, .
To find out the voltage, simply replace R with 32 and P with 0.5
Thus, the voltage is 4 volts.