A voltaic cell has one half-cell with a Cu bar in a 1.00 M Cu2+ salt and the other half-cell with a Cd bar in the same volume of a 1.00 M Cd2+ salt.

(a) Find E o cell , ΔG o , and K. Report your answers to the correct number of significant figures.

E o cell = V

ΔG o = × 10 J

K = × 10

(b) As the cell operates, [Cd2+] increases; find E cell when [Cd2+] is 1.95 M.

E cell = V

(c) Find E cell , ΔG, and [Cu2+] at equilibrium.

E cell = V

ΔG = J

[Cu2+] = × 10 M

A patient needs to be given exactly 500 mL of a 5.0% (w/v) intravenous glucose solution. The stock solution is 65% (w/v). How many milliliters of the stock solution are needed to prepare the fluid for the IV bag?

Which equation will determine how much water is needed to prepare the 5.0% (w/v) glucose solution?

a.) Volume of stock solution needed Volume given to patient (500 mL)

b.) Volume given to patient (500 mL) / Volume of stock solution needed

c.) Volume of stock solution needed / Volume given to patient (500 mL)

d.) Volume given to patient (500 mL) – Volume of stock solution needed

The volume of a cylinder is V space equals space pi space r squared space h, where r is the radius of the circular faces and h is the height of the cylinder. Your measurements show that the mean value of r is 21 cm and its statistical and instrumental uncertainties turned out to be 0.10 cm and 0.20 cm, respectively. Likewise, that of h are 13 cm for the mean, 0.2 cm (statistical) and 0.3 cm (instrumental) for its uncertainties. What can you say about which source of uncertainty has the largest contribution to the overall uncertainty of V ? What would you need to do to improve (reduce) the uncertainty on your calculation of V?

# Finds and returns only the even elements in the list u.
# find_evens([1, 2, 3, 4] returns [2, 4]
# find_evens([1, 2, 3, 4, 5, 6, 7, 8, 9, 10] returns [2, 4, 6, 8, 10]
#
u = [1, 2, 3, 4] 
v = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]

def find_evens(u):
    return None  # Replace this with your implementation

print('Testing find_evens')
print(' find_evens(u): ' + str(find_evens(u)))
print(' find_evens(v): ' + str(find_evens(v)))
print()

Making code using recursion function

In Python

A satellite of mass m is launched from the Earth’s surface at v that is slightly less than the escape speed vesc. The ratio of the satellite launch speed v to the escape speed vesc is defined as f = v/vesc. The satellite is launched straight up. Before coming back down, the satellite momentarily comes to a stop at an altitude h above the surface of the Earth. (a) In terms of the satellite launch speed ratio f, Re, and other needed parameters, what is the maximum height h (6 points)? (b) Let f = v/vesc = 0.92136. What is the altitude h for this f? The mass and radius of the Earth (Me and Re) are 5.97 x 1024 kg and 6,371 km respectively (3 points).Assume this satellite goes into a circular orbit around the Earth at the altitude h calculated in 8(b) above. What is the period (T) in days for this orbit (6 points)? (d) What is special about the orbit with the period calculated in 8(c) above? Carefully explain your answer (2 points)

Using the mass of KCl, calculate the actual concnetration of k+ in the stock solution (approximately 1000 ppm w/v)??

Mass used = 0.4773g KCl

Dissolved 0.4773g KCl in a 250ml Volumetric flask.

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Calculate the actualy concentration of K+ in the diluted stock solution??

***I took 25ml of the stock solution and put it in another 250ml volumetric flask, then filled to volume with water in order to prepare 250.00ml of approxmately 100ppm w/v k+.

===============================================================================================

Calculate the actualy concnetrations (in ppm w/v) of K+ in your calibration standard solutions??

***I took 5 100ml volumetric flask to prepare solutions that are approximately 1, 2, 3, 4, and 5 ppm w/v k+.

-To do that, i took 1 ml of the dilute stock solution and place in one of the 100ml voumetric flask. Then filled to volume with water

-I took 2ml of the dilute stock solution and placed in another 100ml volumetri flask, then filled to volume with water

-I did the same thing with the 3, 4, and 5.

You have recently commenced work for the Australian taxation division of YE International LLP an international accounting partnership. A partner in the Houston Texas office has contacted you and stated that one of his clients has a partly owned subsidiary in Australia that has asked him questions about four Australian Tax law cases, and accordingly he has told them that he would obtain an analysis of the cases. He is accordingly requesting you to provide the analysis for him to pass to the client. The cases are: 1st Tax Case: SNF (Australia) Pty Ltd v FC of T (2011) 193 FCR 149 2nd Tax Case: Resource Capital Fund IV LP v Commissioner of Taxation [2019] FCAFC 51 3rd Tax Case: Burton v Commissioner of Taxation [2019] FCAFC 141. 4thTax Case: Chevron Australia Holdings Pty Ltd (CAHPL) v Commissioner of Taxation [2017] FCAFC 62

Question 1. Let V and W be finite dimensional vector spaces over a field F with dimF(V ) = dimF(W) and let T : V → W be a linear map. Prove there exists an ordered basis A for V and an ordered basis B for W such that [T] A B is a diagonal matrix where every entry along the diagonal is either a 0 or a 1.

Hint 1. Suppose A = {~v1, . . . , ~vn} and B = { ~w1, . . . , ~wn}. If the k th column of [T] A B consists of all zeros, what can you deduce?

Hint 2. Suppose A = {~v1, . . . , ~vn} and B = { ~w1, . . . , ~wn}. If the k th column of [T] A B has a one in the k th entry and all other entries are zero, what can you deduce?

Hint 3. Now construct bases with the properties found in Hint 1 and Hint 2.

Hint 4. Theorem 18 part 5 is your friend.

Hint 5. The proof of the Rank-Nullity Theorem is your best friend.

A project requires an initial investment of $1,000,000 and is depreciated straight-line to zero salvage over its 10-year life.

The project produces items that sell for $1,000 each, with variable costs of $700 per unit. Fixed costs are $350,000 per year.

 What is the accounting break-even quantity? o Q = (FC + D)/(P – v)

 What is the operating cash flow at accounting break-even? o OCF= [PQ - vQ – FC – D] + D

•  What is the cash break-even?
  o Q = (FC + OCF)/(P – v); where OCF=0

•  What is the financial break-even? I = 10%

o Find OCF where NPV = 0, Q = (OCF + FC) / (P – v)

Show all work as follows:

Identify:

•  FC = Fixed Cost

•  D = Depreciation

•  P = Price

•  v = variable cost per unit

•  OCF = operating cash flow (if needed)

  Then compute the break-even quantities.