ElectricPavlov

Perimeter = B  + B + H + H = 78

                 = 38 + 38 + H + H = 78

                      2H = 2     H= 1 mm

Area = B * H =   38 x 1 = 38 mm^2

....further   y^13 =  y^3 y^3 y^3 y^3 y     so you can take all of those y^3 's out

   and   x^5 = x^3 x^2       so you can take the x^3 out

2 x y^4 \(\sqrt[3]{2x^2 y}\)

The exponent   3/7    means   raise everything to the  3 'power' and then take the '7th' root....

....so first choice is no good (cube root or 3rd root)

5^3 = 125  so the 3rd choice looks good

(x^3)^3 = x^9    so the third choice still looks good

(y^4)^3 = y^12      so the third choice it is!

x^2 +75 =0

x^2 = -75

x= +- sqrt (-75)

x = +- i sqrt 75

x = +- i sqrt(25*5)

x = 5i sqrt 5    or  - 5i sqrt 5

It is a way to solve quadratic equations .

When you have a quadratic equation of the form    a x^2 + b x + c = 0    you can use the quadratic formula to find the solutions to the equation.

The Quadratic Formula is:

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)      Substitute for 'a' 'b' and 'c'    to find the solutions ! 

Boxes 1 - 2 - 3  (vertical)     go with    2 - 1 - 6 (horizontal)

Is there a baseline chirps/minute or temperature from which he (only males chirp) increases 1 chirp/.25 degree f ?

Slope = 1 c/0.25 degree = 4

40 = 4x -160

f(x) = 4x -160   ????????????    Where x = temp   and f(x) = chirps 

Looked up Dolbear's Law:

Tf = 50 + ( n60-40)/4        n60 = chirps per minute      so 40 must be the baseline

     = 50 + n60/4 -10

    = 40 +n60/4

Tf =  n60/4 + 40            there, now I'm happy.....

3 pizzas  /  (2/8 pizza/person)=

3 x 8/2 people = 12 people

The ratio numbers have to be a factor of 64

1+2+3+X   has to equal a factor of 64   (1,2,4,8,16,32,64)

1+2+3 =6     so x has to equal  2 10 26 or 58   I don't think 0 will fit the bill.....

If 20% off, then you pay only 80%.....right?

89 x .8 = $ 71.20   (as CCM found......and she/he INCLUDED UNITS!  Excellent!)