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a ladder 10 ft long rests against a wall. if the bottom of ladder slides away from wall at a speed of 2ft/s how fast is the angle between the top of the ladder and the wall changing when the angle is pi/4 radians?
Discuss the general shape and location of each of your graphs and state the domain and range for each of your equations. Write them in interval notation and state whether each of the equations is a function or not giving your reasons for the answer.
What are the break even values? In other words, how many boxes of golf balls must they sell to break even?
Kelly Fisher has a total of $30,000 invested in two municipal bonds that have yields of 8% and 10% interest per year, respectively. If the interest Kelly receives from the bonds in a year is $2640, how much does she have invested in each bond?
if a garden is 315 square feet and 190 square feet has been used, what is the percent of area used?
find the slope of an object either where you live, where you work, or outside somewhere. Examples might include a ladder positioned against a wall or against a house, a banister on a set of stairs, a slide in a park, etc.
How were you able to find the 5th root of 32? If I asked you to find the 3rd root of 48, how you go about solving that? This is a follow up to the question you answered about What is a rational expression.
Derive the Euler-Lagrange Differential Equation (rigorously). Explain any theorems or results that you use in the derivation (e.g. don't just say "by the fundamental theorem of the calculus of variations" without telling what the fundamental theor..
Find the probability of random co-incidence, if the probability to get a certain value in both studies was the same, I would expect to have (125/1389)*38=3.41973 data-points with a larger value than the largest value in my study
The price of a gallon of unleaded gas has risen to today. Yesterday's price was . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Demand for vacuum cleaners remains constant through the year.
Similarly, one additional unit will be occupied for each 5 dollar decrease in rent. What rent should the manager charge to maximize revenue?
Consider English alphabets, how many 5 letters words can be form, if the 2nd letter can NOT be (B,D,E), 4nd letter must be (A,N) and the letter must not repeated.
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