Answer:
Step-by-step explanation:
1. Interchange x and y. We get: x = y^2 - 5
2. Solve for y: y^2 = x + 5, so that y = ±√(x + 5)
Answer:
40,320
Step-by-step explanation:
He can pick any one of the eight for the first examination.
He can pick any one of the remaining 7 for the 2nd examination.
He can pick any one of the remaining 6 for the 3rd examination.
...
He can pick any one of the remaining 2 for the 7th examination.
There's one left for the 8th examination.
Thus, there are 8×7×6×5×4×3×2×1 = 8! = 40,320 different possible orders in which the tubes can be examined.
This is very simple, you can use tally marks to find the amount of birthdays. Then divide it by 100. Good luck !
If you don't know the derivative of the inverse of sine, you can use implicit differentiation. Apply sine to both sides:

(true for <em>y</em> between -π/2 and π/2)
Now take the derivative of both sides and solve for it:



