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If tanx= -5/12 and x is in the 2nd quadrant. Determine sin2x describe me how to solve ?
Use completing the square to write each equation in form y=a(x-h)^2 +k and identify the vertex, focus, and directrix. Please show steps and explain,
Jack is four years older than Fred, the sum of their ages is 36 How would this look as an equation?
An investment of $30,000 earns interest of 10% compounded semi annually for 2.5 years. Determine the future value of the investment. If money can be deposited elsewhere for 2.5 years at 8% compound
Jose Martinez, an immigrant from Mexico, determines that he needs $9000 to start a (very) small grocery store in 3 years. How much must he deposit today if his credit union will pay 4% compounded q
The Datons' accountant told them they will get refund of $8500 upon their income taxes. They're excited and decide to borrow as much as possible now to go on lifelong dream tour of one month in the
We wish to design study to assess risk factors for stroke and dementia. There're two primary outcome measures. The first is measure of neurological function. Patients with normal function typically
How many cancer patients and controls would be required to estimate the difference in proportions of patients with sufficient concentrations of plasma antioxidants vitamins with margin of error not
The mean body mass index for boys of age 12 years is 23.6. An investigator wants to test if the BMI is higher in 12-year-old boys living in New York City.
An unsuspecting person opens the drawer and randomly picks one of these boxes, then tests one of the batteries from the box and it is good. With that knowledge, compute the probability that the pers
A collection of 6 items is to be randomly drawn from a bin containing 100 good items and 8 defective items. Determine the probability that exactly 3 of the items chosen are defective?
How many manners are there to arrange fours couples for photo if all of couple should be standing together?
A business is operating at 90% of capacity and is currently buying a part employed in its manufacturing operations for $17.00 per unit. The unit cost for business to make the part is $21.00, compris
A sterile solution of potassium chloride haves 2 mEq/mL. If a 20 mL ampul of the solution is diluted to 1 liter, what is the percentages strength of the resulting solution?
To establish big-O relationship, determine witnesses C and k such that |f(x) | ?C | g(x)| whenever x>k. Determine the least integer n such that f(x
A furniture manufacturing company manufactures dining room tables and chairs. A table needs 8 labor-hours for assembling and 2 labor-hours for finishing.
Prove F(2n) = F(n) ( F(n+1) + F(n-1) ) where F(n) is the nth term of the Fibonacci sequence. For all n<=k, let n=k+1. Use induction to prove the left side is equal to the right side.
Assume A is a 2X2 real matrix with eigenvalue lambda=3i and corresponding eigenvector v={{-1-i},{1}}. Determine a fundamental set (i.e., linearly independent set) of solutions for y'=Ay, where the
Find the solution to the linear system of differential equations x'=-y and y'=2x-3y satisfying the initial conditions x(0)=-2 and y(0)=-3
To get a job at the government agency, a candidate needs to pass written exam, an oral exam, and an interview. Assume the probabilities of passing the written exam, the oral exam, and the interview
Psuedocode for the greedy algorithm job scheduling problem. Not sure how to go about this help is much appreciated.
The Price of Consolidated inc. is now 75. The company pays no dividends. Ms. B expects price three years from now to be $100 per share. Should Ms. B buy Consolidated stock if she requires a 10% rate
Stock A, average stock, has expected return of 10 percent. Stock B has beta of 2.0. Portfolio P is the two-stock portfolio, where part of portfolio is invested in Stock A and other part is invested
A uniform disk of radius a and mass M lies in the x-y plane. Express the density in terms of delta and step functions in (a) spherical coordinates (b) cylindrical coordinates. (c) Cartesian coordina
The reduction of labor costs by incurring greater amount of fixed costs by purchase of machinery in order to raise the organization's operating leverage is unethical and must be avoided.