Answer:
A = 1024π units², A ≈ 3216.99 units²
Step-by-step explanation:
The equation of the area of a circle is A = πr², where A = area and r = radius.
Given that, we can plug in r as 32 units: <em>A = π(32 un.)²</em>
Simplifying that gives us A = 1024π units², or A ≈ 3216.99 units²
12/27 tulips to total flowers
X ÷ 2 - 13 = 1
Write the division as a fraction

Multiple both sides of the equation by 2

Reduce the number with greatest common divisor 2

Multiply the numbers

Then u will have

Move constant to the right by adding its opposite sides

Eliminate the opposites

Then you have

Add the numbers
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.
Answer:
The answer is b = -9/2
Step-by-step explanation: