There are 32 students in the class. They are separated into groups of five and one group of seven. How many, g groups of five we
2 answers:
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Answer:
The function of height has a maximum value.
Step-by-step explanation:
Maximum or Minimum:
A given function f(x).
- Find out f'(x) and f''(x)
- Then set f'(x)=0 which gives x=a.
- f''(a) > 0 , then at x=a , f(x) has minimum value.
- If f''(a)<0 , then at x=a, f(x) has maximum value.
Given that, a baseball is thrown with with an velocity of 32 feet per second.
The equation of height is
Differentiating with respect to t
Again differentiating with respect to t
Next, we set h'=0
Now
Since at t=1, h''<0.
The function of height has a maximum value.
The maximum of h is = -16.(1)²+32
= -16+32
=16 feet
Using an exponential function, it is found that the approximate number of crimes in the year of 2016 was of 2502.
<h3>What is an exponential function?</h3>An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
In this problem, there were 550 crimes in the initial year observed, and the growth rate is of 6%, hence the parameters are A(0) = 550, r = 0.06, and the equation is given by:
2016 is 26 years after 1990, hence:
The approximate number of crimes in the year of 2016 was of 2502.
More can be learned about exponential functions at brainly.com/question/25537936