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:
C) 
Step-by-step explanation:

The question is incomplete. The complete question is :
Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Jaina $300 7% 3 Once a year Tomas $400 4% 3 Once a year. Which pair of equations would correctly calculate their compound interests?
Solution :
It is given that Jaina and Tomas wants to open an account by depositing a principal amount for a period of 3 years and wanted to calculate the amount they will have using the compound interest formula.
<u>So for Jiana</u> :
Principal, P = $300
Rate of interest, r = 7%
Time, t = 3
Compounded yearly
Therefore, using compound interest formula, we get



<u>Now for Tomas </u>:
Principal, P = $400
Rate of interest, r = 4%
Time, t = 3
Compounded yearly
Therefore, using compound interest formula, we get



Therefore, the pair of equations that would correctly calculate the compound interests for Jaina is
.
And the pair of equations that would correctly calculate the compound interests for Tomas is
.
Answer:
The answer is 1/8
Step-by-step explanation:
Hope this helps. So the question is asking you odds of 8 which is the denominator already. So then it asks the odd to pick eight. So thats how i got 1/8.
Answer:
<h2>2. (0, -4)</h2>
Step-by-step explanation:
