Answer:
Step-by-step explanation:
Given that

Right side has values as
53, 53+77, 53+2(77),+....
We have to find one which is a perfect square.
We have from this series 361 is 19 square
Thus 
Next is 
and so on.
Answer:
No solution
Step-by-step explanation:
We have

For the sum it is not correct to assume

Note that for

it is assumed
and in your case
for 
In fact, considering a set
we have
that satisfy 
This means that, by definition 
Therefore,

because the sum is empty.
For

we have other problems. Actually, this case is really bad.
Note that
has no value. In fact, if we consider for the case
, the cosine function oscillates between
, and therefore it is undefined. Thus, we cannot evaluate

and then

has no solution
Answer:
graph A
Step-by-step explanation:
A graphing calculator can plot this function for you.
If you divide numerator and denominator by 25, you get ...
r = 1/(0.4 -sin(θ))
This will have asymptotes at θ = arcsin(0.4). At those values of θ, the value of r will change sign, so the graph cannot be a parabola or ellipse.
The graph of the hyperbola is the appropriate choice.
About 3, because there are 5280 feet in a mile, so 2 miles would be 10560, and 3 would be 15840, and that is the closest you will get, because the 4th miles would be 21120.
Answer:
a) b ≈ 100
b) m ≈ 30
Step-by-step explanation: