. What safe skills can be used to reduce each of those risks?

linear algebra Question 3. Define the matrix P by4/5 0 3/5 -3/5 0 4/5 0 1 0 P =Let 1, VER". Define what it means that 1,. Uk are orthogonal.(b) Let 1,...,Uk R. Define what it means that v, Uk are orthonormal.(c) Let A be an n n square matrix. Show that ATA is diagonal if and only if the columns of A are orthogonal to each other.(d) Let A be an n n square matrix. Show that ATA is the identity matrix if and only if the columns of. A form an orthonormal basis of Rn.(e) Show that the columns of P form an orthonormal basis of R".(f) What is the inverse of P?(g) Solve the linear system of equations. Hint, use (f).X1 PX2 a. The maturity of a futures contract on a stock market index is 4 months. The multiplier for the futures contract $250. The current level of the index is 32,000. The risk-free rate is 0.6% per month and dividend yield on the stock market index is 0.3% per month. The initial margin requirement is 10%.i. What is the parity value of the futures price now? (3 marks)ii. Assume the futures contract is fairly priced. How much initial margin you need to deposit if you long 5 contracts? (2 marks)iii. Calculate the one-month holding-period return for your long position in the futures contract if the stock market index increases to 33,000 one month later. Assume the futures contract keeps being priced fairly. (5 marks) 4.DISCUSS THE PES ANSERINUS TENDONS IN KNEE MOVEMENT ? When a feritis player serves a tennis bali, what is the agent of the force applied to the batl? According to the course textbook patients in early anemia are often asymptomatic. At what hemoglobin level are symptoms likely to appear? A mother brings her ten year old son to your office because he seems to have small lump-like elevations on the biting surfaces of the mandibular central and lateral incisors. Theses elevations are most likely The wave function of a quantum particle of mass m is(x) = Acos(k x) + B sin(k x)where A, B , and k are constants. b) Find the corresponding energy E of the particle. A car starts out from rest at the location x= 0 m and accelerates. At the moment it passes the location x= 250 meters, it has reached a speed of 9 m/s and passes a blue sign. The car then stays at that speed for an additional 1.5 min. at which time the car passes a purple store. You may type in answers or upload a scan of your work. Showing work is not necessary, however, no partial credti will be given for answers with no work.a) Solve for the average acceleration during the 1st 40 sec. of travel.b) Solve for the time (t) when the car passes the blue sign.c) Solve for the position (x) of the purple store. Nineteen-year-old Tyler stumbled into the drugstore gasping for breath. Blood was oozing from a small hole in his chest wall. When the paramedics arrived they said that Tyler had been shot and suffered a pneumothorax and atelectasis. What do both of these terms mean, and how do you explain his respiratory distress? How will it be treated? on 35 of 37 > Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 69.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 3.30 mm away from the Earth? The density of water is water = 1.00kg/liter, the Earth's mass is Mcarth = 5.97 x 1024 kg, the Moon's mass is Mmoon = 7.36 x 1022 kg, and the separation of the Earth and Moon is dem = 3.84 x 109 m. Liters water: tion 34 of 37 > A recent home energy bill indicates that a household used 325 kWh (kilowatt-hour) of electrical energy and 215 therms for gas heating and cooking in a period of 1 month. Given that 1.00 therm is equal to 29.3 kWh, how many milligrams of mass would need to be converted directly to energy each month to meet the energy needs for the home? mg mass needed: The difference between the list price and the net price on a motorbike is $772. The rate of trade discount is 27%. What is the list pric a $3,187 b $981 c $2,859 d $1,833 What production factors might be available in a resource market or factor market? If vacancy rates of a property increase and operating expensesdecline then the net operating oncome of the property willcertainly decline.TrueFalse What aspect of the self is central to the identity of the *true* self? O Memories O Moral character O Cognitive abilitiesHow does moral character and convictions relate to identity? O We attribute both the good and bad moral aspects of a person to their true moral self. O We only hold moral character essential to the identity of others-not to our own identity O We tend to hold that a person is the same self through any change expect deep change in moral character. According to Waide, what negative effect does participation in producing and promoting associative advertising have on the advertisers? o It desensitizes them to the well-being of others, including reduced compassion, concern, and sympathy o By making money a priority, one's conception of the good life becomes distorted o It leads them to neglect non-market means of satisfying non-market desires - which includes a range of virtues necessary for acquiring such goods. Which best describes the accuracy of moniquessolution Which battles were Allied victories in the Pacific campaign? Check all that apply. The population P of a city grows exponentially according to the function P(t)=9000(1.3)t,0t8where t is measured in years. (a)Find the population at time t=0 and at time t=4. (Round your answers to the nearest whole number) P(0)= P(4)= (b) When, to the nearest year, will the population reach 18,000? About the model of loanable funds market, a) We learned that a model is a simplied representation of the world (i.e., of the economy, if it is an economic model). Which part of the economy is represented by the model of loanable funds market? Mention two simplifications assumed in the model. b) Where does the supply of loanable funds come from? Where does the demand for loanable funds come from? c) Why does the supply of loanable funds increase when interest rate rises? Why does the demand for loanable funds decrease when interest rate rises? d) Suppose the supply of loanable funds is given by LF D=500r, and the demand for loanable funds is given by LF S=40500r. What are the equilibrium interest rate and quantity of loanable funds in the market? Label the equilibrium point clearly in a supply-demand graph. e) Now suppose the government decides to increase the tax rate on interest income. How will this policy affect the demand and supply curves in the market for loanable funds? What's the impact of this policy on equilibrium interest rate and quantity of loanable funds? Depict your answers clearly in a supply-demand graph. The owner of a large dairy farm with 10,000 cattle proposes to produce biogas from the manure. The proximate analysis of a sample of manure collected at this facility was as follows: Volatile solids (VS) content = 75% of dry matter. Laboratory tests indicated that the biochemical methane potential of a manure sample was 0.25 m at STP/ kg VS. a) Estimate the daily methane production rate (m at STP/day). b) Estimate the daily biogas production rate in m at STP/day (if biogas is made up of 55% methane by volume). c) If the biogas is used to generate electricity at a heat rate of 10,500 BTU/kWh, how many units of electricity (in kWh) can be produced annually? d) It is proposed to use the waste heat from the electrical power generation unit for heating barns and milk parlors, and for hot water. This will displace propane (C3H8) gas which is currently used for these purposes. If 80% of waste heat can be recovered, how many pounds of propane gas will the farm displace annually? Note that (c) and (d) together become a CHP unit. e) If the biogas is upgraded to RNG for transportation fuel, how many GGEs would be produced annually? f) If electricity costs 10 cents/kWh, propane gas costs 55 cents/lb and gasoline $2.50 per gallon, calculate farm revenues and/or avoided costs for each of the following biogas utilization options (i) CHP which is parts (c) and (d), (ii) RNG which is part (e). What values of a and b make this equation true?(4 + V-49) - 2(V (-4) + V-324) = a + bia= _.b=_.