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Third reduced to 2 less than half its value, resulting three numbers form the arithmetic sequence. Determine numbers for arithemetic and geometric sequences.
Other end of zip line is attached to top of the 5 foot stake. Angle of elevation of platform is 23. How long is zip line.
They average forty five mph on local highways and fifty five mph on interstate highways. How many hours they spent driving on local highways?
The cubical box has the diagonal measure of 35 cm. (a) determine dimensions of box and (b) angle theta that diagonal makes at lower corner of box.
The rain gutter with the rectangular cross section is made from the 1ft x 20ft piece of metal by bending up equal amounts from 1ft side. How must metal be bent up on every side to make capacity of g
Find values of x for which f(x) 0 and state the answer in interval notation. State domain of function g(x)= 1/sqrt of f(x) in interval notation.
Intensity (I) of light recieved from the source differs inversely as square of distance (d) from source. If light intensity is 5 foot candles at 17 feet, determine the intensity light at 16 feet.
What sales price p yields maximum revenue? Based on fact that firm wants both sales and price to be positive, find suitable domain of pricing function p(x)?
Material for top costs $2 per square foot while material for remaining sides cost $1 per square foot. If total cost to create each box is $36, determine dimensions of box of greatest volume which ca
The cylindrical air tank has the volume of 1000 cubic inches. Material for bases cost 15 cents per square inch and side material 14 cents per square inch. Write cost function ,C, in terms of radius,
Car A passes point O heading east at the steady rate of 40mi/h; car B passes same point 1 hour later heading north at the steady rate of 60mi/h.
Determine height of two buildings which are 190 ft apart, if angle of depression from top of taller building to the top of shorter building is 25 degree.
If the third person is utilized to help complete task. And works with same efficiency as brian, find total time it would take to complete return if all three work together?
What change in unemployment rate corresponds to the year when production is same as year before? Determine meaning of the coefficient -2 in Okun's law?
Total revenue for selling x dozens is Revenue =xp= x(20-0.0002x). How many dozens should be sold to make the revenue of $500,000.
Determine equation of the cosine wave that is attained by shifting graph of y = cos x to the left 9 units and upward 2 units and which is horizontally compressed by the factor of 10 when compared to
Sum of two nonnegative numbers is 1. State sum of square of one and twice square of other as the function of one of the numbers. Provide domain of function.
Assume City A is due North of City B. Determine distance between City A (North latitude 43 degree 15' N) and City B (latitude 38 degree 45' N).
You take this chance to go back to the room and with paper, pencil and graphing calculator you find out best route.
An hour later second car leaves New Orleans following first car, traveling 70 kilometers per hour. How many hours after leaving New Orleans will it take second car to overtake first?
The radiator has 7 quarts of fluid, 35% of which is antifreeze. How much fluid must be drained and replaced with pure antifreeze so that new mixture is 55% antifreeze.
Let the limit as x ->2 of 2/(3x+C). The limit will have different values depending on value of C. Determine values of C so that limit is equal to each of given, or if it is not possible, describe
After Chernobyl disaster, it was predicted that region would not be safe for human habitation for 100 years. Evaluate percent of original strontium-90 remaining at this time.
Every time price is decreased by $10, though, sales increase by 2 per week. Find selling price that will result in weekly revenues of $7595?
The speed of current in the stream is 2 mi/hr. It takes the canoeist 24 minutes longer to paddle 3.2 miles upstream than to paddle same distance downstream. Find canoeist's rate in still water?