Answer:
A
Step-by-step explanation:
z = -3 - 5i
z (i) = i (-3 - 5 i)
z (i) = -3i - 5i^2
z (i) = -3i - 5 (-1)
z (i) = -3i + 5
z (i) = 5 - 3i
Therefore, letter A is the correct answer.
Answer:
Graph C
Step-by-step explanation:
Graph C shows a linear relationship
In this case, since one equation is in the form of x=, substitution would be best for this problem. Simply plug in 4y + 8 in place of x in the second equation, solve for y, then plug that value into the first equation to find x.
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.
Here, we are given that our sphere has a radius of 4 units.
So plugging into the formula, we have .
Start by simplifying the exponent.
(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.
So we have .
Next, we multiply (4/3)(64) which can
be thought of as (4/3)(64/1)
So multiplying across the numerators and across the denominators,
we have .