Step-by-step explanation:

Answer:
⅖ (1 − x)^(5/2) − ⅔ (1 − x)^(3/2) + C
Step-by-step explanation:
∫ x√(1 − x) dx
If u = 1 − x, then x = 1 − u, and dx = -du.
∫ (1 − u) √u (-du)
∫ (u − 1) √u du
∫ (u^(3/2) − u^(1/2)) du
⅖ u^(5/2) − ⅔ u^(3/2) + C
⅖ (1 − x)^(5/2) − ⅔ (1 − x)^(3/2) + C
Answer:
x = 5.2
y = 3.5
Step-by-step explanation:
in order to solve the linear equation simultaneous we say
let
7x+11y=-2............................................ equation 1
7x+3y=30............................................ equation 2
from equation 1
7x+11y=-2.................................................... equation 1
7x = 2 - 11y
divide both sides by the coefficient of x which is 7
7x/7 = 2 - 11y/ 7
x = (2 - 11y)/7.................................... equation 3
put equation 3 into equation 2
7x+3y=30................................................... equation 2
7[ ( 2 - 11y)/ 7 ] + 3y = 30
2 - 11y + 3y = 30
2 - 8y = 30
-8y = 30-2
-8y = 28
divide both side by -8
-8y/-8 = 28/-8
y = 3.5
put the value of y in equation 3
x = (2 - 11y)/7.................................... equation 3
x = ( 2 - 11(3.5)]/ 7
x = 2 - 38.5/7
x= 36.6/7
x = 5.2
18.85 the formula of circumference is 2pir just plug in 3 and multiply...
anyways hope this helped have a great day
-24.3 = 1.42T - 38.5
first, move -38.5 to the other side of the equal sign. because you’re moving to a different side, you must change the negative sign to a positive.
14.2 = 1.42T
now, you have to divide both numbers by 1.42 to isolate T.
10 = T
The actual temperature is 10°F.