Answer:
The complex number
has Cartesian form
.
Step-by-step explanation:
First, we need to recall the definition of
when
is a complex number:
.
Then,
. (I)
Now, recall the definition of the complex exponential:
.
So,

(we use that
.
Thus,

Now we group conveniently in the above expression:
.
Now, substituting this equality in (I) we get
.
Thus,

.
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Answer:
F(n) =-3n+24
Step-by-step explanation:
The degree is 5, so the largest exponent of the polynomial is 5. This means the answer is either A or B. Choice C is ruled out because the degree here is 7. Choice D is ruled out because the degree here is 6
For choice A, the leading coefficient is 6. This is the number to the left of the variable term of the largest exponent. So we can rule out choice A (because the leading coefficient should be 7)
Choice B is the answer. It has a degree of 5 and a leading coefficient of 7 and also a constant term of 6. The constant term is simply the term without any variables attached to it.
we know that
In an Arithmetic Sequence the difference between one term and the next is a constant

where
a1 is the first term
d is the common difference between terms
n is the number of months (in this problem)
case a) Mandy


------> equation 
in this equation the first month is April
case b) Bill


-------> equation 
In this equation the first month is May
With the equation
and the equation
calculate the attached table
therefore
the answer is
December