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Question: Suppose you begin with a pile of n stones and split this pile into n piles of one stone each by successively splitting a pile of stones into two smaller piles. Each time you split a pile you multiply the number of stones in each of the two smaller piles you form, so that if these piles have r and s stones in them, respectively, you compute rs. Show that no matter how you split the piles, the sum of the products computed at each step equals n(n - 1)/2.
How large rebate should the company offer to a buyer, in order to maximize its revenue? dollars
Are the following examples linear transformations from p3 to p4? If yes, compute the matrix of transformation in the standard basis of P3 {1,x,x^2} and P4 {1,x,x^2,x^3}.
Deduce from Hadamard's theorem that if F is entire and of growth order ρ that is non-integral, then F has infinitely many zeros.
Question #1 How many nine-digit student identification numbers can be created from letters and numbers if the first four characters must be upper case letters from A to D and the last five must be digits from 0 to 9? Repetition of letters and number..
The number of miles driven each day for a five-day trip. Let an ordered pair be given in the form (day, miles).
A changing electric current in a coil of wire will induce a voltage in a nearby coil. Important in the design of transformers.
Please give examples of how graphs are used in your daily life. There are home, business, workplace, investments, and sports examples, to name a few. You can find graphs in newspapers, magazines, and on the news.
The height f (t), in feet of an object thrown upward after t seconds is given by f(t) = 256t - 16t^2 (a) Find the time when it reaches the highest point. (b) how high does it go
what is the maximum length of the triangular flags, if they want to use a maximum of 180 square inches of cloth?
Research two satellite phone plans with a specific number of minutes a month. Create a linear equation to represent the monthly bill based on both the flat fee and the per minute cost. Which one is the better option? Why?
Determining the number of X-intercepts " for a starting point. Determine the equation of a parabola with vertex ( 7,-2 ), and passing through the point ( 6,0 ).
Explain how a k-tuple coloring can be used to assign k frequencies to each mobile radio zone in a region.
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