Answer:
1,440
Step-by-step explanation:
if first two digits must be odd, then there are 4x3 or 12 combinations for that
if the next three digits can be even or odd but not repeats then there can be 6 (two odds remaining plus four evens) x 5 x 4 = 120
120 x 12 = 1,440
Answer:

Step-by-step explanation:
Given;




Apply DeMoivre's Theorem;






An 8% slope up is 422.4 feet up in one mile.
An 8% slope down is 422.4 feet down in one mile.
1 mile = 5,280 feet
8% of 1mile = 0.08 x 5,280-ft = 422.4-ft
A) We can use the linear approximation to estimate the amount of time it takes. We're given that the linear approximation to t at the point x = 0 is t(x) ≈ L(x) = d(1–(x/60)). If it drives 84 miles at 62 mi/hr, we'll plug 84 in for d and 62 – 60 = 2 in for x to approximate the amount of time it takes.
L(2) = 84(1 – 2/60) = 81.2 minutes
So the answer for part a is 81.2 minutes.
b) Exact time = Distance/Speed = 84/62 = 1.35 hours, which is equivalent to 1.35 * 60 = 81.3 minutes.