Answer:
According to the diagram, is the polar angle (the "vertical" angle made with the positive z-axis) and is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take
Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where
Step-by-step explanation:
Answers:
A: 11(2x-1)
B: 121 cupcakes
Step-by-step explanation:
<u>Part A: </u>
We have the following expression that models the quantity of cupcakes Mrs. Jones baked last week:
Applying distributive property:
Grouping similar terms:
Applying common factor 
:
This is the simplified expression
<u>Part B:</u>
Now that we have the simplified expresion, we have to evaluate how many cupcakes did Mrs. Jones bake if 
:
Hence, Mrs. Jones baked 121 cupcakes last week
Answer: 30 degrees
Step-by-step explanation:
Answer:
4.
Step-by-step explanation:
Since Eve has already knitted nine scarves we just need to add of few more. Our equation is this: 9 + _ + _ = ?
If you do 9 + 4 + 4, you get 17. Therefor, Eve must knit four scarves per day to meet her goal.
1/the rate of leakage per hour
This will give you the time it takes for 1 gallon to leak out in hours.
For example, if something is leaking at the rate of 12 gallons per hour, it will take 1/12 of an hour for 1 gallon to leak out. ( or 5 min)
