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MATH SOLVE
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A wind turbine is located at the top of a hill where the wind blows steadily at 12 m/s, and stands 37 m tall. The air then exits the turbine at 9 m/s and the same elevation. Find the power generated by the wind if the mass flow rate is 137 kg/s. Report your answer in kW and to 2 decimal places.
General
2 months ago
For each function below, determine whether or not the function is injective and whether or not the function is surjective. Be sure to justify your answers.(b) f: P({1,2,3}) + N given by f(A) = |A| (Note: P(S) denotes the power set of a set S.)
General
2 months ago
Verify that the function(s) solve the following differential equations (DES): a) y' = -5y; y = 3e-5x b) y' = cos(3x); y = į sin(3x) + 7 c) y' = 2y; y = ce2x , where c is any real number. d) y" + y' – 6y = 0 ; yı = (2x, y2 = (–3x e) y" + 16y = 0; yı = cos(4x), y2 = sin(4x)
General
2 months ago
Arrivals at a fast-food restaurant follow a Poisson distribution with a mean arrival rate of 16 customers per hour. What is the probability that in the next hour there will be exactly 9 arrivals?a. 0.7500b. 0.1322c. 0.0000d. 0.0213e. none of the above
General
2 months ago
2. A landlord wants to acquire an additional apartment building for $250,000. The new buildingcontains eight apartment units, which will each rent for $500 per month. The bank is willing toloan the landlord the money for a long-term, 30-year loan at a 5.5 percent interest rate.Calculate the monthly payment and explain whether taking this loan for the new building is asmart business decision. (10 points)
General
2 months ago
Let P(x, y) be a propositional function. If Vy3x P(x,y) is true, does it necessarily follow that 3x Vy P(x,y) is true? Justify your answer or give a counter-example.
General
2 months ago
A linens department received the following:19 1/2 dozen of twin sheet sets33 2/3 dozen of queen sheet sets 23 1/4 dozen king sheet sets What is the total number of sheet sets received?a. 896. sheet setsb. 917. sheet setsc. 925. sheet setsd. 902. sheet setse. 930. sheet setsf. None of the above.
General
2 months ago
Suppose that 25 days are chosen at random from a calendar. Explain why at least 3 of the 25 days must lie in the same month. Do some research to find the name of the principle you've used, and clearly describe it in your own words.
General
2 months ago
Total departmental sales in the Housewares Department were $513000.00. A salesperson made 14% of the total departmental sales of that month and earns 6.5% commission on his sales. Find the dollar amount of commission.a. $33345.00b. $4691.95c. $4668.30d. $71820.00e. $4683.19f. None of the above.
General
2 months ago
A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $3,000 or $6,000. If the partnership raised $258,000, then how many investors contributed $3,000 and how many contributed $6,000?x = $3,000 investorsy = $6,000 investorsFormulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- and y-variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.A jar contains 70 nickels and dimes worth $5.70. How many of each kind of coin are in the jar?Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- and y-variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.The concession stand at an ice hockey rink had receipts of $7400 from selling a total of 3000 sodas and hot dogs. If each soda sold for $2 and each hot dog sold for $3, how many of each were sold?x= soday= hotdogs
General
2 months ago
You spend c dollars forp identical pairs of pants. A friend claims thatbecause c increases if you increase p, and pincreases if you increase C, either corp could bethe independent variable. Is your friend right orwrong? Explain.
General
2 months ago
What is the simplified Expression of -2/3(12c-9)+14c
General
2 months ago
How do you solve 3x-15=7x-10
General
2 months ago
A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He used fertilizers for the first group of land. He did not use fertilizers for the second group of land. At the end of the season, he measured the yield of the crops in these 2 groups. Is the study observational or experimental? If it is an experiment, what is the controlled factor?
General
2 months ago
A government sample survey plans to measure the LDL (bad) cholesterol level of an SRS of men aged 20 to 34.Suppose that in fact the LDL cholesterol level of all men aged 20 to 34 follows the Normal distribution with mean? = 118milligrams per deciliter (mg/dL) and standard deviation? = 25 mg/dL.Use Table A for the following questions, where necessary.(a) Choose an SRS of 100 men from this population. What is the sampling distribution of x? (Use the units of mg/dL.)N(0.118, 0.025)N(118, 2.5)N(118, 0.25)N(1.18, 0.25)N(118, 25)
General
2 months ago
A group of four components is known to contain two defectives. An inspector tests the componentsone at a time until the two defectives are located. Once she locates the two defectives, shestops testing, but the second defective is tested to ensure accuracy. Let Y denote the number ofthe test on which the second defective is found.a) Find the probability distribution for Y .b) If the cost of testing a component is $2 and the cost of repairing adefective is $4, find the expected total cost for testing and repairing the lot.c)Find the variance for the total cost for testing and repairing of the lot.
General
2 months ago
A single conservative force vector F = (4.0x - 12)i hat N where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 20 J at x = 0. (a) Write an expression for U as a function of x, with U in joules and x in meters.
General
2 months ago
A circle with a radius of 4.3 cm is centered at the vertex of an angle. a. Suppose the angle has a measure of 235 degrees. i. What is the radian measure of this angle? radians Preview i. What is the length (in cm) of the arc subtended by the angle's rays along the circle? cm Preview b.s b. Suppose θ represents the varying degree measure of the angle. Write an expression that represents the length (in cm) of the arc subtended by the angle's rays along the circle. (Enter "theta" for 0.) cm Preview
General
2 months ago
a group of hikers park there trail head and hike into the forest to a campsite. The next morning they head out on a hike from their campsite walking at a steady rate. The graph shows their distance in miles d from the car on the day of their hike after h hours. How many miles will the campers be from their car after 12 hours?
General
2 months ago
You need 3 sticks of butter for every 24 cookies you bake. How many sticks of butter for 5 cookies
General
2 months ago
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