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Two poles are set a = 60 feet apart, but the point of attachment P for the rope is yet to be determined. Express the length L of the rope as a function of the distance x from P to the ground.
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
Three balls are to be randomly selected with replacement from an urn containing 20 balls numbered 1 through 20. If we bet that at least one of the drawn balls
An Introduction to Economics class with 188 students meets in this lecture hall. What is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander?
If one gallon of paint has a volume of approximately 4000 cm3, what is the maximum number of whole gallons of paint that can be poured into the bucket?
Find all points on the curve whose x-coordinate is 1, and write an equation for the tangent line at each of these points
Find the absolute change and the percentage change in the following case. The population of a country increased from 99 million in 1990 to 259 million in 2010.
What does the graph look like for the two parabolas y=x^2 and y= -x^2 + 2x - 5 in the same coordinate plane? Find equations of the two lines simultaneously tangent to both parabolas.
from a rectangular piece of cardboard having dimensions an open box is to be made by romoving squares of area x squared from each corner and turning up the sides.
Find the value of x & y that solve the following system of equations:
Express the retailer's monthly profit from the sale of the cameras as a function of the selling price. Estimate the optimal selling price.
What types of information can you gather from graphing a formula? (Every day use, like budgets, Surveys, etc.)
You are designing a rectangular poster to contain 98 in2 of printing with a 4 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used?
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