Answer:
The teacher will take 720 minutes or 12 hours to grade 32 reports.
Step-by-step explanation:
32 reports= x
4 reports= 90 minutes
Cross multiply method
90*32= 4x
2880= 4x
x= 720
The teacher will take 720 minutes or 12 hours to grade 32 reports.
Hope this helps!
Answer:
a) for all values of x that are in the domains of f and g.
b) for all values of x that are in the domains of f and g.
c) for all values of x that are in the domains of f and g with g(x)≠0
Step-by-step explanation:
a) By definition (f+g)(x)=f(x)+g(x). Then x must be in the domain of f and g.
b) By definition (fg)(x)=f(x)g(x). Then x must be in the domain of f and g.
c) By definition (f/g)(x)=f(x)/g(x). Then x must be in the domain of f and g and g(x) must be different of 0.
It's difficult to make out, but I think the task is to expand

Write the number in polar form first:

By DeMoivre's theorem, you have

and converting back to Cartesian form, this number is equivalent to