Answer:
The 7th term of the sequence is 0.000768
Step-by-step explanation:
As given, the sequence is : 12, -2.4 , 0.48, ....
The first term = 12
Second term = -2.4
Third term = 0.48
Common ratio =
Fourth term = 0.48(-0.2) = -0.096
Fifth term = -0.096(-0.2) = 0.0192
Sixth term = 0.0192(-0.2) = -0.00384
Seventh term = -0.00384(-0.2) = 0.000768
Answer:
How would we know. You need to use a ruler on a printed piece of the paper.
Answer and Step-by-step explanation: Spherical coordinate describes a location of a point in space: one distance (ρ) and two angles (Ф,θ).To transform cartesian coordinates into spherical coordinates:
For angle θ:
- If x > 0 and y > 0: ;
- If x < 0: ;
- If x > 0 and y < 0: ;
Calculating:
a) (4,2,-4)
= 6
For θ, choose 1st option:
b) (0,8,15)
= 17
The angle θ gives a tangent that doesn't exist. Analysing table of sine, cosine and tangent: θ =
c) (√2,1,1)
= 2
=
d) (−2√3,−2,3)
= 5
Since x < 0, use 2nd option:
Cilindrical coordinate describes a 3 dimension space: 2 distances (r and z) and 1 angle (θ). To express cartesian coordinates into cilindrical:
Angle θ is the same as spherical coordinate;
z = z
Calculating:
a) (4,2,-4)
=
z = -4
b) (0, 8, 15)
= 8
z = 15
c) (√2,1,1)
=
z = 1
d) (−2√3,−2,3)
= 4
z = 3
Answer: 1.36078
Step-by-step explanation:
¥is the way to do algebra