ElectricPavlov

Circumference = pi d

A   diameter = 24 feet

B   diameter = 7.5 m = 7.5 m / .305 m/ft = 25 ft       B is larger because diameter is larger....I'll let you calculate the circumferences with the equation in red

Q I     0 -90

Q 2    90- 180

Q 3   180 - 270

Q 4   270 - 360

- 230 is the same as 130^o

y = mx + b        m = slope =  ( 1 - -1)/(0 - - 5)   = 2 / 5 

y = 2/5 x + b     sub in one of the points to find 'b'

  You have the center....you need to find the radius...this will be the distance from the center to the point given

d = sqrt ( (-11 - -15)^2  + (11-7)^2 )   = sqrt 32

Then standard form is       (x-h)^2 + (y-k)^2 = r^2

                                          (x+11)^2 + (y-11)^2 = 32

Here is a pic:

  https://www.desmos.com/calculator/pqssr0xmvj

One train gets a 60 mile head start...its distance from Chicago will be given by

      60  +  60 x     miles      where x = hours after 2nd train starts

2nd train distance = 80 x     when are these two distances equal?

60 + 60x = 80x

x = 3 hours after sencond train starts      4 hours after first train started

Another way:

train 1 has 60 mile head start      train 2 travels 20 m/hr faster     to close that 60 mile head start will require  60 m / 20m/hr = 3 hours

apples =   (50+x) (800-10x)    find max

                40 000 - 500x + 800x - 10x^2

                 -10 x^2  + 300 x + 40000                    max occurs at x = -b/2a =   - 300/-20 = 15 additional trees

50 trees + 15 trees = 65 trees      output =  -10(15^2) + 300 (15)+(40000) = 42250 apples from 65 trees

I believe the vertex will be shifted 3 units to the right       to    4, -2

s = seniors                        revenue from = $ 109 s

41-s = regular                   revenue from = $ 113 (41-s)     summed = $ 4561

109 s        +      113 (41-s)           =    4561        solve for  's' the number of senior tix

12/30  white sock first *   18/29    black c**k next       +      18/30 black sock fist  *  12/29  white sock next

216/870   +   216/870   =  432/870 = 72/145     (someone verify this ? )

Good answer...

.but you probably do not know that you cannot have the same numbers repeated in your choice of numbers....

56  *   55  *  54 * 53  *  52      *    46   = ...............