Answer:
−15x2+23x−6
Step-by-step explanation:
(3x−1)(−5x+6)
=(3x+−1)(−5x+6)
=(3x)(−5x)+(3x)(6)+(−1)(−5x)+(−1)(6)
=−15x2+18x+5x−6
=−15x2+23x−6
Answer:
.018, 1.8, 18, 18
Step-by-step explanation:
ascending means going from smallest to largest, so you order the numbers from smallest to largest
B) -15.6,-12.9,-10.2,-7.5,-4.8
This is an arithmetic sequence.
Answer:
: c2 = a2 + b2 - 2ab cos C
c²=20²+15²-2×15×20×cos50
c²=400+225-600×0.64
c²=241
c=√241=15.5ft
Answer:
Rolling case achieves greater height than sliding case
Step-by-step explanation:
For sliding ball:
- When balls slides up the ramp the kinetic energy is converted to gravitational potential energy.
- We have frictionless ramp, hence no loss due to friction.So the entire kinetic energy is converted into potential energy.
- The ball slides it only has translational kinetic energy as follows:
ΔK.E = ΔP.E
0.5*m*v^2 = m*g*h
h = 0.5v^2 / g
For rolling ball:
- Its the same as the previous case but only difference is that there are two forms of kinetic energy translational and rotational. Thus the energy balance is:
ΔK.E = ΔP.E
0.5*m*v^2 + 0.5*I*w^2 = m*g*h
- Where I: moment of inertia of spherical ball = 2/5 *m*r^2
w: Angular speed = v / r
0.5*m*v^2 + 0.2*m*v^2 = m*g*h
0.7v^2 = g*h
h = 0.7v^2 / g
- From both results we see that 0.7v^2/g for rolling case is greater than 0.5v^2/g sliding case.
