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Question: Given a positive integer n written in decimal form, the alternating sum of the digits of n is obtained by starting with the right-most digit, subtracting the digit immediately to its left, adding the next digit to the left, subtracting the next digit, and so forth. For example, the alternating sum of the digits of 180,928 is 8 - 2 + 9 - 0 + 8 - 1 = 22. Justify the fact that for any nonnegative integer n, if the alternating sum of the digits of n is divisible by 11, then n is divisible by 11.
a restaurant is open 24 hours a day. the manager wants to divide the day into work shifts of equal length. the shifts
A agent makes a monthly rate of $3200 or a $1000 plus 11% commission on a selling price of each item sold by the agent, If the agent chooses the $3200 what dollar amount does the agent expect to sell in one month?
to prove that the minimal spanning tree in graph is unique.suppose you have n video streams that need to be sent one
The area of a right triangle is 50. One of its angles is 45o. Find the lengths of the sides and hypotenuse of the triangle.
Appreciation of the significance of the concept of integrated marketing communications (IMC) and its impact on marketing management. Identification of the elements of the promotion mix and the pros and cons of each element.
Write the related multiplication or division sentence. Draw a quick picture that shows the sentence. 18-6-6-6=0
The radius of a right circular cone is increasing at a rate of 3 inches per second and its height is decreasing at a rate of 2 inches per second. At what rate is the volume of the cone changing when the radius is 40 inches and the height is 20 inc..
Create the price function for Stock D. It should have the second lowest starting price and the second highest rate of growth. Using complete sentences, justify that your function meets these requirements.
The present success rate in the treatment of a particular psychiatric disorder is 0.65 (65%). A research group creates a new treatment for this disorder. Their null hypothesis is that the success rate for the new treatment is 0.65 (no different fr..
Start conjecturing if you haven't already. What are the next terms in this sequence? Do you see a recurrence relation? How about a closed-form formula? Share your conjectures with others.
Use the simplex method to solve this linear programming problem.
Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set:
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