See that denominator cannot be zero, so,
x-3 ≠ 0
x ≠ 3
Domain:
S={x∈R/x≠3}
Answer:
The magnitude of the given vector is 40.72 units.
Step-by-step explanation:
The given vector is 
We know that for any vector 'r'
the magnitude is given by

Comparing with the given vector we have
x = -3
y = 40
z = 7
Thus the magnitude equals


Answer:
Maximum number of months Abby can learn yoga is 25 months.
Step-by-step explanation:
We have given,
Total savings of Abby = $1325
Total charges to learn yoga is given as:
A fixed registration fee = $35
And a monthly fee = $50
Since the registration Abby pays only once. So we can calculate the remaining saving amount for Abby.
i.e Remaining saving amount after registration fee = $ (1325 - 35) = $1290
Now, from the remaining amount after paying registration fee , let the Abby learn yoga for x months.
To find maximum number of months we need to satisfy a equation given as:

or 
Since we got x ≤ 25.8 months ≈ 25 months (in integer form)
So maximum number of months Abby can learn yoga is 25 months.
Answer:
Part 1) Geometric sequence
Part 2) 64 minutes or one hour and four minutes to complete station 5.
Part 3) 512 minutes or 8 hours and 53 minutes to complete station 8.
Step-by-step explanation:
Trust me. I used my calculator.