CPhill

I assume  this is :

∫ 2x⁵  dx  =

2∫ x⁵ dx   =

2 [ x⁶ / 6 ]  + C

(1/3)x⁶ +  C             where C is a constant

Circumference  = 2 * pi * radius  .......so...

21.3  =  2 * pi  *  radius     .......divide both sides by  2 * pi

21.3 / [ 2 * pi ]    = radius  ≈  3.4 mm

.08x+.05(3,400-x) = 245     simplify

.08x + 170 - .05x  = 245

.03x  + 170   = 245      subtract 170 from both sides

.03x  =  75      divide both sides .03

x  = 75 / .03  =  2500

Welcome, matthew........!!!

( 5 / 26)  /  ( 2 / 5)    invert the second fraction and multiply

(5 / 26 )  * ( 5 / 2)

(25 / 52 )    

(-3, -4)   and  ( 4, -5)......the distance is given by

sqrt [ ( -3 - 4)^2 + ( -5 - -4)^2 ]  =

sqrt [ ( -7)^2  + (-1)^2 ] =

sqrt [ 49 + 1 ] =

sqrt [ 50 ]  =

sqrt [ 25 * 2 ] =

sqrt (25) * sqrt (2)  =

5*sqrt (2)

We can use the "see-saw"  principle, here

4 people * 6 hours  = x people * 4 hours

24   =  x * 4   divide both sides by 4

24 / 4  = x   =   6 people

19 * 5/4   =

[ 19 *  5 ]  /  4   =

95 / 4   =

23 + 3/4

Average  for Spring terms  =

[ 10,900 + 10,500 + 10,700] / 3    =   10,700

See the graph, here : https://www.desmos.com/calculator/qxifsitezx

a. The x-intercepts  are  (-15,0)  and (15,0)

b. The lengrh  of the walkway   =  15 - (-15)   =  15 + 15 =   30 feet