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The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the triangle is increasing at a rate of 3.5 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 10 centimeters and the area is 95 square centimeters?
The price of a technology stock has risen to today. Yesterday's price was . Find the percentage increase. Round your answer to the nearest tenth of a percent.
When adding or subtracting radical expressions, what must be true about the radicand (the data under the radical symbol) and the index? If the problem does not meet this criteria, what must be done?
Find the expected value and the variance of X, the number of inspected bottles with serious defects.
Find the potential alpha inflation
For the following algorithm find the number of times the assignment statement (:=) is executed during the running of the program. Answer the question by giving a formula in terms of n:
Show a sketch of a region satisfying set of inequalities or system of inequalities
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2.
If an open box has a square base and a volume of 97 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.)
A retailer knows that n games can be sold in a month if the price is 30-.3x dollars per game. If he buys each game for $6, and if he wishes to make a profit of at least $450 per month on sales of this game, how many games must he sell each month?
A worker on scaffolding 75 ft above the ground needs to lift a 450 lb bucket of cement from the ground to a point 20 feet above the ground by pulling on a rope weighing 5 lb/ft. How much work is required?
Kelly Fisher invested a total of $20,000 invested in two municipal bonds that have yields of 7% (bond A) and 9% (bond B) interest per year, respectively. If the interest Kelly receives from the bonds in a year is $1480, how much did she invest in ..
how far downstream does the boater finally land? (Hint: if x is the cross- stream position of the boat and y is its downstream position, find an expression for dy/dx. Then solve for y(x)).
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