Answer:
B
Step-by-step explanation:
A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.
If |r| ≥ 1 then the geometric series diverges.
25/3+125/9+625+ ...
r = 125/9 ÷25/3 = 5/3
625/27 ÷ 125/9 = 5/3
In the series, r is greater than 1. So the series is divergent.
Answer:
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The triangle ABD is an isosceles triangle
because
AB=BD
The segment BM is a perpendicular bisector segment AD
so
<em>In the right triangle ABM</em>
Applying the Pythagorean Theorem
we have
substitute
-----> equation A
<em>In the right triangle BMC</em>
Applying the Pythagorean Theorem
we have
substitute
----> equation B
equate equation A and equation B
solve for x
Simplify
<em>Find the length of DC</em>
substitute the given values
2/3 will not be included in the domain of g/f
Step-by-step explanation:
Given functions are:
We have to calculate (f/g)(x) first
The steps will be as follows:
Putting the values of functions
Domain of g/f:
The function will be undefined if the denominator is zero.
To find the domain we will put the denominator equal to zero
So,
Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)
<u>Answer:</u>
2/3 will not be included in the domain of g/f
Keywords: Domain, Operations on Functions
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It is 400 because 20x20 is 400