Using a geometric series, it is found that he swims 1897 yards in the first week.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
In which 
is the first term.
The sum of the first n terms is given by:
In this problem:
- 200 yards on the first day, thus
. - Each day, the distance increases by 10%, since 100% + 10% = 110% = 1.1,
. - First week is first 7 days, thus
Then:
He swims 1897 yards in the first week.
A similar problem is given at brainly.com/question/23711475
Answer:
573440 kg
Step-by-step explanation:
Given,
Density of copper ( D ) = 8960 kg / m³
Length of cube ( l ) = 4 meters
To find : Mass of solid cube of copper ( m )
Formula : -
Volume of cube = l³
Volume of cube
= l³
= 4³
= 4 x 4 x 4
= 64 meter³
So,
V = 64 meter³
Formula : -
D = m / V
m = D x V
= 8960 x 64
m = 573440 kg
Hence,
The mass of a solid cube of copper is <u>573440</u> kg.
Answer:
x=1/3
Step-by-step explanation:
A function f is given as
in the interval [0,1]
This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)
Hence mean value theorem applies for f in the given interval
The value
Find derivative for f
Equate this to -5 to check mean value theorem
We find that 1/3 lies inside the interval (0,1)
Remember that the difference between census and a sample survey is that in a census you take all the people of population in consideration in the study, and in the sample survey you take a part of that population in consideration to survey.
SO here if you check the problem it says that "in a recent poll, Pew reserchers found that 47% OF AMERICAN ADULT RESPONDENTS"
that is the population of the study that you want to focus, but there are a billion of american adult in US right? so its impossible that this company Pow Research made a census if you consider that a billion of people in US is almost infinite number for a company with a finite number of employees.
Also remember that a company has a budget to consider every month or every year, so to make a census or a sample survey it takes time and money, just to survey 10 people in a streeth of US cost money so if you want to reduce cost you might need to do a sample survey instead of a census.
