Answer:
Per hour decay of the isotope is 0.96%.
Step-by-step explanation:
Amount of radioactive element remaining after t hours is represented by
where a = initial amount
t = duration of decay (in hours)
Amount remaining after 1 hour will be,
y = 0.9904a
So amount of decay in one hour = a - 0.9904a
= 0.0096a gms
Percentage decay every hour =
=
= 0.958 %
≈ 0.96 %
Therefore, per hour decay of the radioactive isotope is 0.96%.
Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation
Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry,
Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.
The maximum height of the diver is therefore 4 meters.
Step-by-step explanation:
1.) First, you need to take the whole numbers (9 and 1) and set them aside.
2.) Multiply the numerators from each fraction by one another. The numerators are the numbers on the top of the fraction. (Whatever you get on that will be the numerator of the answer!)
3.) Multiply the denominators by each other as well. The denominators are the numbers on the bottom. This will be the denominator of your answer.
4.) Now, you need to multiply your whole numbers (9 and 1) together.
5.) Then, simplify or reduce your answer. (this can't be simplified, as it is already in its simplest form)
Your answer will be 9 1/66.
Your work should look like this in the end:
