Answer:
1.98
Step-by-step explanation:
Find the number in the hundredth place 8 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
Answer:
4x²√4√6√x⁶√x
Step-by-step explanation:
4x²√(24x⁷)
The above expression can be simplified as follow:
4x²√(24x⁷)
Recall
√(MN) = √M × √N = √M√N
Thus,
4x²√(24x⁷) = 4x²√24√x⁷
But:
√24 = √(4×6) = √4√6
√x⁷ = √x⁶√x
Thus,
4x²√24√x⁷ = 4x²√4√6√x⁶√x
Therefore,
4x²√(24x⁷) = 4x²√4√6√x⁶√x
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:
64x⁶ - 216y³
Step-by-step explanation:
The formula for the volume of a cube is
Vol. = l³
For the large cube,
V =(4x²)³
V = 64x⁶
For the small cube,
v =(6y)³
v = 216y³
The difference in volume is
Diff. = 64x⁶ - 216y³
