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Question: Determine the appropriate functions
The mechanical advantage of an inclined plane is the ratio of the length of the plane to its height. Express the mechanical advantage M of a plane of length 8 m as a function of its height h.
How much water should be added to 30 gallons of a solution that is 70% anti freeze in order to get a mixture that is 60% antifreeze?
If you deposit $10,000 in a savings account now, what rate compounded monthly would be required for you to withdraw $12,500 at the end of 5 years
consider a linear transformation T on R3 which reflects each vector about the line spanned by [1 2 3 ]. Find a basis B such that B-matrix of T is diagonal.
Suppose x = D(p) is a nonlinear demand equation. Let price change from p to p + h Show that elasticity of demand is the limit as h approaches zero of the relative change in demand to the relative change in price.
Suppose you just received a job offer with a starting salary of $37000 per year and a guaranteed raise of $1500 per year. How many years will it be before you've made a total (or aggregate) salary of $1,025,000?
a saw mill runs for three 4-hour days per shift. it produces 500 2x4s per hour which are divided into 50 piece bundles
A store sells cashews for $3.00 per pound and pecans for $8.00 per pound. How many pounds of cashews and how many pounds of pecans should you mix to make a 50 Lb mixture costing $4.10 per pound?
a room measures 9 meters by 13 meters and the ceiling is 3 meters high. A liter of paint covers 16 square meters. How many liters of paint will it take to paint all but the floor of the room?
The use of Personal Computers for shopping provides "e-tailers" (online retailers) with extensive opportunities for market research. What information might Amazon.com or Staples.com find useful when a customer visits their site?
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Define Population 1 as this year and Population 2 as last year and use the p-value approach to test this hypothesis with α = 0.05.
A researcher studies the average distance that 130 people who are living in U.S. urban areas walk each week. What is the size of the sample? Identify the population.
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