Devora tested two engines. As each engine's rotation got faster, its temperature increased at a constant rate.

The first engine's temperature (in degrees Celsius) as a function of its rotation speed (in cycles per second) is given by the following table of values:

The Table is for the first engine below
For the second engine, the graph is below

The temperature of which engine increased more for each increase of 1 cycles per second?

Choose 1

(Choice A)

A

The first engine

(Choice B)

B

The second engine

(Choice C)

C

The temperatures of both engines increased the same

Which engine was hotter when it rotated at 20 cycles per second?

Choose 1

(Choice A)

A

The first engine

(Choice B)

B

The second engine

(Choice C)

C

Both engines were equally hot

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.