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Assume the cost function to manufacture shoes is C(x) = 30x + 300,000, where x represents the number of shoe pairs made.
1. Use this information to construct the average cost function.
2. Explain the behavior of the average cost function as x increases without bound. (Solve for various values of X to find the behavior).
3. What type of asymptote does this function have?
Caitlyn is a landscaper who is creating a triangular planting garden. The homeowner, Lisa, wants the garden to have two equal sides and contain an angle of 120°. Also, Lisa wants the longest side of the garden to be exactly 6 m.
6. 23% of the seniors at a high school failed pre-calculus. If 1138 students failed pre-calculus, how many seniors are at this high school?
Determine the displacement y(x,t) to the string at any point at any subsequent time described by a function
Find the equation of horizontal and vertical asymptote of given functions - Find the equations for the horizontal and vertical asymptotes
Forty feet of fencing are to enclose three sides of a rectangular patio. The fourth side of the patio is a side of the house, and requires no fencing.
Evaluate the derivative of the given function by using the definition of derivative
Your textbook outlines a specific 4-step strategy that is used to solve general algebraic equations.
a pool measuring 10 meters by 16 meters is surrounded by a path of uniform width. If the are of the pool and path combined is 272 square meters, what is the width of the path?
What is the margin of error? Iii. Find a 99% condence interval for . What is the margin of error? B. A random sample of 100 observations from a normally distributed population possesses a mean equal to 83.2 and a standard deviation equal to 6.4. I..
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In the sequence of fractions {1/1, 2/1, 1/2, 3/1, 2/2, 1/3, 4/1, 3/2, 2/3, 1/4, 5/1, 4/2, 3/3, 2/4, 1/5, 6/1, ...} fractions equivalent to any given fraction occur many times. For example, fractions equivalent to 1/2 occur for the first two times ..
Use the quadratic formula to find out how long after the rocket is launched it will hit the ground. Round to the nearest tenth of a second.
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