Mickey Mouse and Minnie Mouse compete on a skating rink. Mickey has the mass m = 30kg, and skates to the east with the directional velocity v = 5m / s. Minnie has a mass of m = 20 kg and is firing straight into Micky's lap. In the collision, they embrace and travel both to the east, at a velocity of v = 1m / s. What was the speed of the Minnie Mouses direction for the collision?

The joint probability distribution of random variables, X and Y, is shown in the following table: X 2 4 6 Y 1 0.10 0.20 0.08 2 0.06 0.12 0.16 3 0.15 0.04 0.09

(a) Calculate P ( X=4 | Y=1)

(b) Calculate V (Y | X=2) .

(c) Calculate V (3Y-X ) .

Consider the cell described below at 267 K:

Sn | Sn2+ (0.999 M) || Pb2+ (0.975 M) | Pb

Given EoPb2+→Pb = -0.131 V, EoSn2+→Sn = -0.143 V. Calculate the cell potential after the reaction has operated long enough for the Sn2+ to have changed by 0.397 mol/L

I've tried almost everything, please help.

-Let O (0,0,0) be the origin and A(a+1,b,c) where a,b and c are the last three digits of your student ID. Find, describe and sketch the set of points P such that OP is perpendicular to AP

- Let u=<a , b+1 , c+1> find and describe all vectors v such that |u x v|=|u|

a=1 , b=1 , c=9

A particle starts from rest at s = 0. The particle follows: v = (t²-5t+6) m/s

1. Determine the position of the particle at t = 8 seconds.
2. Determine the total distance traveled from 0 to 10 seconds. (draw the pathway)
3. SKETCH a v versus t curve and a versus t curve from t = 8 to t= 10 sec

An investor invests $500. The investment pays $100 at the end of year 2, $200 at the end of year 3 and $300 at the end of year 4.

Calculate the net present value (NPV) of the investment using interest preference rate of 5.7%.

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I got

v = 1/1.12

So would it just be NPV = -500 + 100(v)^2 + 200v^3 + 300v^4?

Inverse demand function of a product by a company that montizes the market is given by v = 200 - 0.03m and supply is given by v = 0.05m

1a.. Draw and calculate market balance (show price & quantity and a picture)

1b..The product damage to society is 70$ per unit. The government uses Pigovjan tax on the production of the company. Update the picture from 1.a in regards to the Pigovjan tax/1b.

(a) Prove the following claim: in every simple graph G on at least two vertices, we can always find two distinct vertices v,w such that deg(v) = deg(w).

(b) Prove the following claim: if G is a simple connected graph in which the degree of every vertex is even, then we can delete any edge from G and it will still be connected.

A long, thin solenoid has 870 turns per meter and radius 2.70 cm . The current in the solenoid is increasing at a uniform rate of 64.0 A/s

What is the magnitude of the induced electric field at a point 0.520 cm

from the axis of the solenoid? (in V/m)

What is the magnitude of the induced electric field at a point 1.30 cm

from the axis of the solenoid? (in V/m)

A three-phase line has an impedance of 1 + j3 Ω per phase. The line feeds a balanced delta-connected load, which absorbs a total complex power of 12 + j5 kVA. The line voltage at the load end has a magnitude of 300 V.

Calculate the magnitude of the line voltage at the source end.The magnitude of the line voltage at the source end is ____ V.