Answer:
45
Step-by-step explanation:
4x^2-3x+4y^2+4z^2=0
here we shall proceed as follows:
x=ρcosθsinφ
y=ρsinθsinφ
z=ρcosφ
thus
4x^2-3x+4y^2+4z^2=
4(ρcosθsinφ)^2-3(ρcosθsinφ)+4(ρsinθsinφ)^2+4(ρcosφ)
but
ρ=1/4cosθsinφ
hence we shall have:
4x^2-3x+4y^2+4z^2
=1/4cosθsinθ(cosθ(4-3sinφ))+4sin^2(φ)
Answer:
x = 8 hours
Step-by-step explanation:
add up all the parts,
the teachers spends 24 hours in a day to do 18 parts
there are 2 parts for grading per day, we need to solve for 3 days so 3*(parts) or 6 parts for grading
use ratio to solve for x,
24 hrs x (hours)
______ = __________
18 parts 3*(2 parts)
solve for x = (24 * 6 )/ 18 = 8 hours