Determine which of the following sets of data satisfy the first law of thermodynamics? (Recall that E = total energy = U + KE + PE)

a. W = 50 kJ Q = 170 kJ DeltaE = 120 kJ

b. W = 100 Btu Q = -110 Btu DeltaE = -210 Btu

c. W = 250 kJ Q = -110 kJ DeltaE = -100 Wh

d. W = 44 kPa-m3   Q = -84 kPa-m3 DelatE = 40 kN-m

The phone company calculates a customer’s monthly cell phone bill as follows: monthly service charge: $35 voice charges:

First 100 minutes: $0.018 per minute

Second 100 minutes: $0.034 per minute

Additional minutes: $0.055 per minute

a. What is the charge for a month in which 158 minutes were used?

b. What is the charge for a month in which 311 minutes were used?

c. Construct a piecewise function that gives the monthly charge for x minutes of usage.

A certain piece ofequipment has an initial cost of $10,000 with an annual maintenance cost of $500 per year with no salvage value at the end of its useful life of 4 years.   There is an alternative equipment that costs $20,000 with no maintenance cost the first year.   However, it has a maintenance cost of $100 the second year and increases $100 per year in subsequent years.  Its salvage value is $5,000 and has a useful life of 12 years.  The MARR is 8%.   Which machine should be selected?

. Two outlets on the same household circuit (120 V) are connected in series, while the sockets in each are in parallel. In the first outlet you plug in a 100. W lightbulb and a 1200 W vacuum cleaner. In the second outlet you plug in another 100 W lightbulb and a 1500 W hairdryer.

(a) Draw a circuit diagram.

(b) Determine the current through each device.

(c) Determine the resistance of each and the equivalent resistance of the circuit.

(d) If the circuit has a 25 A fuse connected to it, will the fuse blow?

1) You have three vectors with (∣v⃗∣,θ)(∣v∣,θ) pairs of (11,75∘)(11,75∘), (8,50∘)(8,50∘), and (10,−100∘)(10,−100∘).

If you wanted to add a fourth vector to those first three such that the sum of all four vectors were 0, what would that fourth vector be? Give your answer as a (vx,vy)(vx​,vy​) pair. Give your answer to 1 decimal point. Then show it as a (∣v⃗∣,θ)(∣v∣,θ) pair.

There are two boxes, the first one contains nine 1 dollar bills and one 5 dollar bill, and the second one contains two 1 dollar bills and one 100 dollar bill. When you select one box, two of the bills will be taken out without replacement. Suppose you have chosen a box, and you got two 1 dollar bills. What is the possibility that you have chosen the box that contains the 100 dollar bill?

Economics Question. Please answer ASAP! Will provide thumbs up!

Car's annual operating and maintenance (O&M) costs are given by the following schedule:

If MARR = 10%, and it is known that the value of O&M costs in the first year is the base annuity, define the value of parameter G in the equivalent arithmetic gradient series.

(Note: Don't use the $ sign in your answer and keep 2 decimal places)

An Evaluation of the Status of Risk Management in South African manufacturing Industries. The manufacture industry in South Africa is central to growing the economy but has faced stagnation as a result of external challenges such as the fall in value of the Rand to the US Dollar, rising fuel costs, high inflation and increasing power costs. The manufacture industry is considered risk inclined because project undertakings are dynamic and complex, with multiple local and international stakeholders. Studies have shown that risk management has been poorly implemented in
manufacture industries in South Africa, despite there being a strong knowledge base to support it. Risk management has now become a competitive advantage in the industry.
Discuss the following:
 Obstacles to risk management
 Significant risks in the manufacturing industry
 Significant constraints
 Lesson to apply in the future

You are in the middle of your shift in the coronary care unit (CCU) of a large urban medical center. Your
new admission, C.B., a 47-year-old woman, was just flown to your institution from a small rural community
more than 100 miles away. She had a STEMI (ST segment elevation myocardial infarction) last
evening. Her current vital signs (VS) are 100/60, 86, 14. After you make C.B. comfortable, you receive
this report from the flight nurse: “C.B. is a full-time homemaker with four children. She has had episodes
of 'chest tightness' with exertion for the past year, but this is her first known MI. She has a history of
hyperlipidemia and has smoked one pack of cigarettes daily for 30 years. Surgical history consists of total
abdominal hysterectomy 10 years ago after the birth of her last child. She has no other known medical
problems. Yesterday at 8 pm, she began to have severe substernal chest pain that referred into her neck
and down both arms. She rated the pain as 9 or 10 on a 0-to-10 scale. She thought it was severe indigestion
and began taking Maalox with no relief. Her husband then took her to the local emergency department,
where a 12-lead electrocardiogram (ECG) showed hyperacute ST elevation in the inferior leads II,
III, aVF and V5 to V6. Before tissue plasminogen activator could be given, she went into ventricular fibrillation
(V-fib). CPR was started and when the code team arrived, she was successfully defibrillated after
two shocks. She then was started on nitroglycerin (NTG), heparin, and amiodarone drips. She was given
IV metoprolol and aspirin 325 mg to chew and swallow. This morning her systolic pressure dropped into
the 80s, and she was placed on a low-dose norepinephrine drip and urgently flown to your institution for
coronary angiography and possible percutaneous transluminal coronary angioplasty. Currently, she has
amiodarone infusing at 1 mg/min, heparin at 1200 units/hr, and norepinephrine at 0.5 mcg/kg/min. The
NTG has been stopped because of low blood pressure. Laboratory work that was done yesterday showed
Na 145 mEq/L, K 3.6 mEq/L, HCO3 19 mEq/L, BUN 9 mg/dL, creatinine 0.8 mg/dL, WBC 14,500/mm3, Hct
44.3%, and Hgb 14.5 g/dL.”

Please help me write the SBAR for this case