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1. Describe fractional parts. What are the two distinct requirements of fractional parts? Explain how children's concepts of partitioning need to be refined to produce a concept of fractional parts. 2. Give a fourth-grade explanation of the meaning of the top number and the bottom number in a fraction. 3. Explain why it is obvious that 3/4 x 8/5 = 6/5 without using the algorithm and without first getting 24/20. 4. Explain why the place-value system extends infinitely in two directions. How can this idea be developed with students in the fifth or sixth grade?
Discuss the concept of the derivative of a function.
Find the small positive angle from the positive X-axis to the vector OP that corresponds to (3,3). Find the work done by the constant force 4i-2j if the point of application moves along the line segment from P(1,1) to Q(5,7)
If 4 Americans, 3 Frenchmen and 3 Englishmen are to be seated in a row, how many seating arrangements are possible when people of the same nationality must sit next to each other?
A closed rectangular container with a square base is to have a surface area of 150inches squared. Find the maximum possible volume of such a box.
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2.
Which of these best represents how much the manager will save on milkeach day if she buys the milk in 1-gallon containers?
G is a finite group with elements a and b. Let the conjugacy classes of these elements be A and B respectively and suppose |A|^2, |B|^2
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
Find sample size
Construct a 99% confidence interval for the population mean total fat, in grams per serving.
A group of people share in a $5,000,000 lottery. Before the money is divided, 3 more winning ticket holders are declared. As a result, each person's share is reduced by $375,000. Write and solve an equation to determine how much $ each winner rece..
Integrate the integral below using the partial fractions method. (S represents the sign for integration) S x^3 + 4 / (x^2 - 1)(x^2 + 3x + 2) dx
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