The given function is a variable separable differential equation. Combine like terms, integrate, apply the appropriate limits, and express V in terms of t. This is done as follows:
dV/dt = -3(V)^1/2
dV/-3V^1/2 = dt

m here is the initial V which is 225. Then after integrating,
-2/3 (√V - √225) = t
-2/3 (√V - 15) = t

That is the expression for V at time t. I hope I was able to help. Have a good day.
Ans. 1 Angle E and angle F are corresponding angles.
Solution 2.
So,
angle E = angle F
=> x + 20 = 5x - 20
=> x + 20 + 20 = 5x
=> x + 40 = 5x
=> 40 = 5x - x
=> 40 = 4x
=> 40/4 = x
=> 10 = x
Solution 3.
E = x + 20
=> E = 10 + 20
=> E = 30
F = 5x - 20
=> F = 5(10) - 20
=> F = 50 - 20
=> F = 30
<em>Again</em><em> </em><em>justified</em><em> </em><em>that </em><em>they </em><em>are </em><em>equal</em><em> (</em><em> </em><em>besides</em><em> </em><em>answer </em><em>1</em><em>)</em><em>.</em>
So you cant have a decimal in your divisor which means the problem sill become 18215/7 if that helps
The work is incorrect.
(-6) multiplies both terms inside parentheses. For some reason, the student changed the sign of that multiplier for the second term. The second term of the result should have a positive sign, the result of multiplying (-6)(-2/13) = +12/13.
To get this we divide the total miles she ran for the weeks by the no of weeks she ran.
Total miles =5.5 +7.25+10= 22.25 miles altogether.
no of weeks =3.
Average miles = 22.75 /3=7.583333≅7.58(nearest hundredth)