1. 4x - 8 + 2x + (-5x) + x^2 - 3 = 4x - 8 + 2x - 5x + x^2 - 3...now, we just combine like terms....lets group them...it will be easier ...x^2 + (4x + 2x - 5x ) - 8 - 3 = x^2 + x - 11
2. 2x + 5x = 8x
3. 2r + 4 + 3x - 2 = 3x + 2r + (4 - 2) = 3x + 2r + 2
4. 3x - 2y - x + 5y = (3x - x) + (5y - 2y) = 2x + 3y
5. 2y^2 - 8y^3 + 5y - 5y^2 + 4y^3 = (4y^3 - 8y^3) + (2y^2 - 5y^2) + 5y =
-4y^3 - 3y^2 + 5y
Answer:
WAIT A MINUTE MR. POSTMAN
Step-by-step explanation:
Answer:
m<TVZ = 95
Step-by-step explanation:
2x+15+2x+5= 180
4x+20 =180
-20 -20
4x=160
x= 40
2x+15= m<TVZ
2(40)+15 = m<TVZ
80+15 = m<TVZ
95 = m<TVZ
To check:
2x+5= <WVZ
2(40)+5 = <WVZ
80+5 = <WZV
85+95 = 180
The two angles together should equal 180. Comment if you have any questions :)
Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let be the depth of water in the barrel at time , where is measured in inches and in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that
where is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by
Multiply by
Take integral
Integrate
Isolate
We know that the water level starts at 36, this means . We use this information to find the value of .
At t = 1, y = 34
So our formula for the depth of water in the barrel is
To find the time, , at which all the water leaks out of the barrel, we solve the equation
Thus, it will take about 35.49 hours for the water to leak out of the barrel.