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Find probability that both freeways are congested? It turns out that 85 is congested.Find the probability that 280 is also congested?
The amount of waste company produces, W, in tons per week is approximated by W=3.75e^-.008t, where t is in weeks since Jan 1, 2005. Waste removal for company costs $15/ton.
The company evaluates total revenue, R, in dollars, received from sale of q items is R=ln(1+1000q^2). Compute and interpret marignal revenue if q=10.
What occurs at x= -3 in each function? Is there a hole, x-intercept or vertical asymptote? Y= (x-3)(x+3)/(x+3)(x-1) Y= (x-3)(x+3)^2/(x+3)(x-1) Y= (x-3)(x+3)/(x+3)^2(x-1) Y= (x-3)(x+3)/(x+3)
The weight of 800 pounds is suspended from two cables. One cable is 35 degrees and other is 50 degrees. Determine the tensions in the two cables?
You apply multiple forces at same point. Force in horizontal direction direction is 50 Newtons, and force in vertical direction is 100 Newtons. Determine resultant force in vector form? Determine i
In one dorm, 40 students are math majors, 5 have a double math/science major and 20 are science majors. Find number of students live in dorm?
Determine present value of the ordinary annuity of 60 payments of $5100 each made quarterly and earning interest at 8%/year compounded quarterly.
The large painting in style of Rubens is 3ft longer than it is wide. If wooden frame is 12 in wide, area of picture and frame is 208 ft2, determine the dimensions of the painting.
Use Heron's Law to determine area of triangle with sides a = 9, b = 12, c = 15. Utilize Law of Sines to solve for all possible triangles which satisfy given conditions a = 30, c = 40, A = 37 degree.
Use effective half-life found in part (a) to find out percentage of radioactive iodine remaining in human thyroid gland five weeks after its ingestion.
Assume that 1¢ is deposited in the savings account paying 1% annual interest compounded continuously. How much money will have accrued in account after 2000 years?
At last, mix of no Dumbium, 4 cc of Sillium, 3 cc of Deludium and 4 cc of Ignorium weighed 41.2 gms. Provided all this find weight of pure Deludium per cc, correct to nearest tenth of a gm/cc?
Determine number of bacteria present in culture after7 hours. Determine time that it takes culture to grow to20 times its initial size.
Determine values of trigonometric functions of angle (in standard position) whose terminal side passes through given point. Coordinates are approximate. (37.71,21.86)
Determine excact value of expression cos (a+B), sin (a+B) and tan (a+B) under the given conditions. cos (a) = 15/17, a lies in quadrant IV, and sin (B) = -6/13, B lies in quadrant III.
Compute amplitude, perod and displacement of given function. y = 2 cos (x - pi/6). Find amplitude, perod and displacement of given function. y = -5 cos (2x - pi/2)
Draw graph of the following. Define period and midline 1) y= 3sin 2t 2) y= -cos1/2 t. Compute coordinates of point at given angle on the circle with radius 3.8 centered at origin. a) 45°
Determine the formula for Cos(4theta) in terms of Cos{Theta}. Suppose that V is in interval (-pi/2, 0)...Tan V=-1/12 find sin(2V)
Write down equation in standard form of conic with given characteristics. parabola: vertex (3,-3) and focus (3, -9/4) ellipse: center (2,-1), vertex (2, 1/2), length of minor axis: 2.
The initial invesment of $14000 is appreciated for 5 years in the account which earns 14% interest, compounded semiannually. Determine amount of money in account at the end of the period.
There is linear relationship between number of units, N(x), of the product which the company sells and amount of money, x, spent on advertising. Write interpretations of slope and x- and y- intercep
Determine the function which gives amount of bacteria in grams after t days. (Use variable a to represent initial amount.)
The parallelogram has two sides of length 6, two sides of length 11, and two angles of 44 degrees. Determine angle between shorter diagonal of paralelogram and the side with length 6.
Utilize formula to fill in missing values of k (convert to % per year), relative exponential rate of growth between each pair of years.