Answer:
Option D - 64 feet.
Step-by-step explanation:
Given : Ja'Von kicks a soccer ball into the air. The function
represents the height of the ball, in feet, as a function of time, x, in seconds.
To find: What is the maximum height the ball reaches?
Solution :
To find the maximum height of the ball we find the derivative,
Derivate w.r.t x
To find maxima put 
Now, we find the second derivative form maximum,
Therefore, The maximum point is at x=2
Substitute x=2 in the given function,

Therefore, Option D is correct.
The maximum height the ball reaches is 64 feet.
Answer:
(A) Let a represent the number of hours Cassie needs to work
(B) The inequality is 10 × a + 30 ≥ 140
(C) a ≥ 11
(D) Cassie needs to work babysitting for her neighbor for at least 11 hours to be able to buy the graphing calculator
Step-by-step explanation:
The least amount Cassie needs for the graphing calculator = $140
The amount Cassey currently have saved = $30
The amount her neighbor offers for her to babysit = $10 per hour
(A) The definition of the variable is given as a = The number of hours Cassie needs to work
(B) The inequality that defines the situation is 10 × a + 30 ≥ 140
(C) Solving the inequality gives;
10 × a + 30 ≥ 140
10 × a ≥ 140 - 30
∴10 × a ≥ 110
a ≥ 110/10
∴ a ≥ 11
Which gives;
The number of hours Cassie needs to work = a ≥ 11 hours
(D) The solution means that Cassie needs to babysit for her neighbor for at least 11 hours to be able to buy the graphing calculator.
Answer:
8 years oldbecouse twice the age of his sister sharda
Answer:
The best data collection method or sampling method to provide an unbiased sample is the random sampling method.
Step-by-step explanation:
There are 5 popular known sampling methods or data collection methods.
1) Random Sampling
In random sampling, each member of the population would have an equal chance of being surveyed. One of the best ways to use random sampling is to give all the members of the population numbers and then use computer to generate random numbers and pick the members of the population with those random numbers.
2) Systematic sampling is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth member is picked to be sampled.
3) Convenience Sampling
This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just picks the first set of members of the population that they find and surveys.
4) Stratified Sampling
Stratified sampling divides the population into groups called strata. A sample is taken from each of these strata using either random, systematic, or convenience sampling.
5) Cluster sampling
Cluster Sampling divides the population into groups which are called clusters or blocks. The clusters are selected randomly, and some members or every element/member in the selected clusters is surveyed.
Hope this Helps!!!
Answer:
8.03n
Step-by-step explanation:
I hope that n means pi. i just squared the radius and added pi to the end of it. sorry if that's wrong.