Answer:
The maximum height attained by the rocket is 240.1 m.
Step-by-step explanation:
The height above the ground is a function of time t is given by :
...(1)
We need to find the maximum height of the model. First we find the time of max height using axis of symmetry of the equation as follows :
We have, a = -4.9 and b = 68.6
So,
Put t = 7 in equation (1)
So, the maximum height attained by the rocket is 240.1 m.
Answer:
C. 15 Miles
Step-by-step explanation:
3 multiplied by 5 is 15 :)
1456 thank you and that’s your answer
Independent is x while dependent is y
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.