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Comet C has the elliptcal orbit of eccentricity 0.9476 with sun at one focus. Greatest distance of the comet from sun is 2436 million mi. Determine least distance between the comet C and sun.
A bag comprises of 6 green ones, 2 red marbles, 2 yellows, 1 lavender one, and 2 orange marbles. Determine number of sets of four marbles have one of each color other than lavender?
If the person with weight W bends at waist with the straight back then force F exerted by lower back muscles. Determine value of theta which will cause the 120 pound person's back muscles to exert the
Express trigonometric function in terms of x. Then estimate if x=0.9865. sec (theta), if sin (theta) =x and (theta) is obtuse.
Cans are being stacked on the supermarket shelf. There are 28 cans on bottom row and 4 cans on top row. If there are 15 cans and every row is smaller than one below it by same number of cans, deter
Determine the following equations by using sum and difference formulas, then compute all the solutions. 2 sin(3x) cos(4x) +2 sin(4x) cos(3x)=√3
Trees situated on the sloping hillside turn to grow vertically by reacting to gravity and light rays. Find how tall is the tree?
Measure of the angle in standard position is 11pi/6. Determine two positive angles and two negative angles which are coterminal with given angle.
For following functions f and g, determine indicated composition. f(x)=6x+11, g(x)=3x-1; f(g(x)). Find maximum number of turning points for graph of function f(x)=-x^2-2x-35.
Write standard form of circle with given center and radius. (8,6);5. Determine midpoint of line segment whose endpoints are given. (-1,-8) and (1,7)
If refinery sells gasoline for $1.25 per gallon and fuel oil for $1 per gallon, how much of each must be manufactured to maximize revenue. Determine maximum revenue.
The object is moving so that its speed after t minutes is 5 + 2 t + 3t^2 meters per minute. Find how far does object travel during first minute?
It is expected that t years from now population of the certain country will be varying at rate of e0. 03 million per year. If present population is 30 million, find population be 20 years from now?
The hyperbola has the vertical transverse axis of length 18 and asymptotes of y=3/7x-2 and y=-3/7x+2. Determine center of hyperbola, its focal length, and its eccentricity.
Signals which come from satelitte strike surface of dish and are reflected to single point, where receiver is situated. If dish is 10 feet across at its opening and 2 feet deep at its center, find p
Presently, 10,000 people take city buses every day and pay 2 dollars for the ticket. Presently, price per ticket is 2 dollars. Should price be increased to increase revenue?
Large corporate office orders 800 novel electronic door locks for the building, but they buy them from the discount supplier. Find how many locks still be operational after eight weeks?
The business begins with 780 clients and grows over time. After four months there will be 3120 clients. suppose that growth follows exponential model. Write number of clients P after t months as the
Michael puts $7500.00 in the account bearing 4.2% interest. If interest is compounded continuously, find money in account after 4 years?
In the geometric series, sum of first three terms is 304, and sum of first six terms is 1330. Determine sum of the first seven terms. Illustrate the detailed step by step?
At the top of hill, passengers "feel light", with the noticeable weight of only 40% of their true weight. How fast is coaster moving?
If characters are represented by using the code which uses the byte for every character, how many different characters can be symbolized?
Let the function f(x) = 3cos (3x) - 1 Detemine vertical shift. Use this information to graph function for at least one period.
Use the suitable double angle formula to rewrite given expression as sine, cosine or tangent of corresponding double angle. 2 cos^2 (-9pi/8)-1=? Wrtite answer in radians.
Assume sina=4/5 for the quadrant II angle a and sinB=1/2 for the quadrant I angle B. Find exact value of following.