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What are you asking?

32 ounces = 1 quart  = 1/4 gallon (U.S.) = 946.35 milliliter

It's complicated but it's the study of numbers

Need the diagram, sorry....

I would say it is 'a' because it says he can only make 'either'  ....not that he can make a combination of the two.

I would say it costs Goober 200 gallons of corn liquor to make 100 gallons of Strawberry wine.  (so it is 'close' to 2 gallons of corn liquor to make 1 gallon of strawberry)

A VERY long time!

2.9 x 10^5 words  /  40 words/min   =  7250 minutes = 120 . 833 hours =  5.035 days

Just multiply by: 10^9.

gigaliters - giga = liters

1.3

Calm down guys! The "Hade's Formula" holds true, for it generates the following series:

0, 4, 10, 20, 35, 56, 84, 120, 165, 220, 286, 364, 455, 560, 680, 816, 969, 1140, 1330, 1540, 1771, 2024, 2300, 2600, 2925, 3276, 3654, 4060, 4495, 4960, 5456, 5984, 6545, 7140, 7770, 8436, 9139, 9880, 10660, 11480, 12341, 13244, 14190, 15180, 16215, 17296, 18424, 19600, 20825, 22100, 23426, 24804, 26235, 27720, 29260, 30856, 32509, 34220, 35990, 37820, 39711, 41664, 43680, 45760, 47905, 50116, 52394, 54740, ........etc.

35,000,000

6 so easy

21/35  = 3/5   =  .60

Ask your teacher

@CPhill

I think it is " back to school for you, and the study of 'complex functions'"!!.

512 !!!!!

1.6

Someone is mixing up the metaphors here.

It’s not “my formula” that I played with for hours. That formula popped out like an oversized “Where’s Wally” character. Heureaka probably didn’t mention it because that would be like saying, “Notice the big elephant in the room.” 

What I played with for hours was the formula of “little mice” waltzing in the shadows.  This one: G_n(a_n)(z) = (z (-z^3+4 z^2-6 z+4))/(z-1)^4.  The Rube Goldberg formula (but only if it works). 

I do not know how to make these series (0, 1, 4, 10, 20, 35) or (0, 4, 10, 20, 35) appear when [n=0, 1, 2, 3, 4, 5, . . . ] probably because I do not know how to do [nested sub-scripted indexes??] G_n(a_n)(z)=Rube Goldberg formula.  I’m assuming the formula works but is poorly explained – z cannot = 1 else there is a division by zero.

By using the formula provided by "Guest #4", "from one of Hade’s rivers: G_n(a_n)(z) = (z (-z^3+4 z^2-6 z+4))/(z-1)^4", I derive the 35th term of the this series as: 7,140!!!!!. I tried a couples more terms for both.

This is great! Instead of just saying you did it, can you show an explicit example? step by step in time.  Remember a waltz is in ¾ time not 35

We genetically enhanced chimps are happy to learn from choreographed, waltzing mice, plucked, along with the formula, from one of Hade’s rivers –even if they do step a little out of time, but if they are just running around looking for the big cheese, we’re going to snack on them.  Right now, they are looking very tasty.

So x= >= -4 for the restricted domain?