Answer:
dV/dt = 13,5 [Km³/h]
Step-by-step explanation:
The volume f the cube is:
V = x³ where x is a side of the cube, then tacking derivatives with respect to time on both sides of the equation
dV/dt = 3*x² dx/dt
dx/dt = 2 km/h
at the time when the side x = 1,5 Km
dV/dt = 3* (1,5)²*2 [km³/h]
yes
they are all equivalent because they all equal 0.9
9/10 = 90/100 = 0.9
all percentages can be converted to fraction by putting them over a hundred
90% = 90/100 = 0.9
0.9 obviously = 0.9
17
306/18=17
Subtract corresponding x and y components
- u - v = - <- 8, 4> - <2, 7> = <8, - 4> - <2, 7> = <8 - 2, - 4 - 7> = <6, - 11>
u - v = <- 8, 4> - <2, 7> = <- 8 - 2, 4 - 7> = <- 10, - 3>
v - u = <2, 7> - <- 8, 4> = <2 + 8, 7 - 4> = <10, 3>
The expression (5x + 4)^3 in expanded form is 125 x3 + 300 x2 + 240 x + 64. The expression will have also a root of x = -4/5. This is the form of trinomial expansion and can be solve by multiplying the the term 3 times.