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What nuclide is formed when 20/10 Ne undergoes beta-plus decay?


What nuclide is produce when 235/93 Np undergoes electron capture?



If P(E1)=P(E2)=0.15, P(E3)=0.4, and P(E4)=2P(E5), calculate the P (E4) and P(E5).

The speed of light is 299,792,458 m/s.

a. Express this number in standard form.

a. Express speed of light up to three significant figures.


Consider the equation xe^x = cos x


(a) Apply the intermediate value theorem to show that the function has a root in the interval


[0, 1].




1.Given the K values at 25°C, predict the extent of each reaction by indicating whether it is reactant-favored or product-favoured.


N2(g) + 3H2(g)2NH3(g)

K=3.5 ×10^8


CaCO3(s) Ca^+2(aq) + CO3 ^-2, (aq)

K= 3.8 x 10^-9


S(s) + 02(g) ----><------SO2(g)

K=4.2×10^52


AgCl(s) Ag^+1(aq) + Cl^-1(aq)

K=10^-10



Draw a graph having the given properties:




1. Simple graph : 6 vertices with degrees 2,3,3,3,4,5




2. Simple graph: 9 vertices with degrees 1,1,3,3,4,4,5,5,6




3. Simple graph: 7 vertices with degrees 3,3,3,3,3,3,6




4. Simple graph: 5 vertices with degrees 4,4,4,4,4




5. Simple graph: 6 vertices with degrees 1,2,3,4,5,5




6. Simple graph: 5 vertices having degrees 2,2,4,4,4




7. Simple graph : 8 vertices with degrees 2,2,3,3,3,4,4,7




8. Simple graph: 8 vertices with degrees 2,3,3,4,4,4,5,5

Use the following two equation, Using the two equations to find the values of Qd, Qs, the market situation (Shortage/Surplus/Equilibrium), and the Value of shortage or surplus if any, at the following prices: 3.044, 3.65, 3.88, and 3.95.  


QS = 972 + 103.5P 


 QD = 1722 – 141.5P 




A- Calculate the equilibrium price and the equilibrium quantity. Show all your work. 


972 + 103.5P = 1722 – 141.5P 


1722 – 141.5P = 972 + 103.5P 


A garden hose attached with a nozzle is used to fill a 7-gal bucket. The inner diameter of the hose is 1”, and it reduces to ½” at the nozzle exit. If it takes 32 s to fill the bucket with water, determine the average velocity of water at the nozzle exit


A moving airplane dropped a cargo (ignore the effect of air resistance). If the plane from which the cargo was dropped was flying at a height of 600 m, and the cargo lands 300 m horizontally from the initial dropping point,





a. how fast was the plane flying when the cargo was released? (Vix=?)




b. what was the velocity of the cargo right before it hit the ground? (Vfy=?)



Solve for time first using this equation: t= √ 2y/ay




c. Draw a figure or diagram that illustrates the given problem.

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