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What a wicked way to bring back that Christmas story in a joke.

Since we're going for long jokes:

An engineer dies and reports to the pearly gates. St. Peter checks his dossier and says, "Ah, you're an engineer — you're assigned to h**l."

So the engineer reports to the gates of h**l and is let in. Pretty soon, the engineer gets dissatisfied with the level of accommodations and starts designing and building improvements.

After a while, they’ve got air-conditioning and flush toilets, escalators, elevators and so on ... and the engineer is a pretty popular guy.

One day, God calls Satan on the telephone.

"So, how's it going down there in h**l?" God says.

"Hey, things are going great. We've got air-conditioning and flush toilets and escalators. There's no telling what our engineer is going to come up with next!" Satan says.

"What? You've got an engineer? That's a mistake - he should have never gotten down there. Send him back immediately!" God says.

"No way! I like having an engineer on the staff - I'm keeping him!" Satan says.

"Send him back up here or I'll sue!" God says.

Satan laughs crazily and answers:

"Yeah, right. And just where are you going to get a lawyer?"

To kick things off, here is my best math joke.

I'll stop at nothing to avoid using negative numbers.

No, you are right, the initial drop down boxes do not disappear but the actual boxes that have dropped down do disappear. For yours they may not exist in the first place but for me they cannot be captured on a screen shot.

circumference   =   2 * pi * radius

                                                             Plug in  4 meters  for radius  and  3.14  for  pi  .

circumference   ≈   2 * 3.14 * 4 m

                                                             Multiply these together.

circumference   ≈   25.1 m

area   =   pi * radius²

                                                             Plug in  4 meters  for radius  and  3.14  for  pi  .

area   ≈   3.14 * (4m)²

                                                             Square the  4m  .

area   ≈   3.14 * 16m²

                                                             Multiply.

area   ≈   50.2 m²

So you earn 50 plus 2 per sale. This is the same as the equation 2x+50.

To get the minimum number of sales necessary, set equal to 100.

\(2x+50=100\)

Subtract 50 from both sides.

\(2x=50\)

Divide both sides by 2.

\(x=25\)

So, to earn $100 a week, you have to make 25 sales.

f( f^-1(x)  )   =   x

Therefore

f( f^-1(19) )   =   19

And

f^-1(   f( f^-1(19) )   )   =   f^-1( 19 )

To find  f^-1(19)  , lets first find  f^-1(x) .

f(x)  =  x³ - 8

y  =  x³ - 8     →     y + 8  =  x³     →     (y + 8)^1/3   =  x

f^-1(x)  =  (x + 8)^1/3      Now plug in  19  into this function.

f^-1(19)  =  (19 + 8)^1/3   =   27^1/3   =   3

I'm not sure, but I would like you to make it look cool and do something like that.

thanks!

:)

The sum of all the interior angles  =  180° * (21 - 2)  =  3420°

If this is a regular polygon, then all of  21  the interior angles have the same measure.

So   the measure of each interior angle   =   3420° / 21   ≈   162.86°

And the measure of each exterior angle  ≈  180° - 162.86°  =  17.14°

volume of pyramid  =  (1/3)(area of base)(height)

area of square base  =  751 * 751  ft²   =   564001  ft²       Plug this in for  area of base.

                                                                                            Plug in the height given in the problem.

volume of pyramid  =  (1/3)(564001 ft²)(481 ft)                   Multiply these together.

volume of pyramid  ≈  90 428 160   ft³

And    90 428 160   ≈   9.0 * 10⁷

I think that the answer is 73: 

98 97 96 95 94 93 92 91 87 86 85 84 83 82 81 76 75 74 73 72 71 65 64 63 62 61 54 53 52 51 43 42 41 32 31 21 9

volume   =   (1/3)(area of base)(height)        Plug in the information from the problem.

volume   =   (1/3)(24)(6)    cubic inches

Evaluate this to get your answer.    

Thank you for trying... but that's not the right answer.  The hint says " don't forget the triangle inequality".  Can't the length possibly be 11 or 10 or 9... or 1?  

(a) 

92 - 9 / 92 which is about 0.9

Answer is a 90 percent change

(b)

absolute value of 24 - 96 / 24 which is 0.3

Thhe answer is a 30 percent change

(c) 

75 - 74 / 75 which is 0.013333....

Answer is a 1 percent change

%Change =[New - Old] / Old x 100

[9 - 92] / 92 x 100 =-90.2% Decrease.

[96 - 24] / 24 x 100 =300% Increase.

[74 - 75] / 75  x 100 =-1.3% Decrease.

Since TIP is an isosceles triangle, either TP matches TI, therefore TP = 5

                                                             or TP matches PI, therefore TP = 7.

Since TOP is an isoscels triangle, either TO matches PO, therefore TO = 11

                                                             or TO matches TP when TP = 5, therefore TO = 5

                                                             or TO matches TP when TP = 7, therefore TP = 7.

The sum of all possible lengths for TO = 11 + 5 + 7 = 23.

What do you mean by regular, square, triangle? 

Thanks!

Surface area of a rectangular prism = 2(hw + hl + lw), where h = height, l = length, and w = width

\(15 \times 12 = 180, 15 \times 8 = 120, 12 \times 8 = 96, 96 + 120 + 180 = 396, 396 \times 2 = 792\)in²