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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?
The surface area of the right squre pyramid is given by S=b square rt. b^2 + 4h^2. If the pyramid has height of 10 feet and surface area of 100 square feet, what is the length of a side b of its base?
Find the value of the integral of g(z) around the circle |z - i| = 2 in the positive section when g(z) = 1/(z^2+4)
The sign "I LOVE MATHEMATICS" is put on the wall of the mathematics building at South Central Carolina Technical College.
the wheel revolves at a rate of πrad/min and the observer's line of sight with a specific seat on the Ferris wheel makes an angle Ø with the horizontal. at what time during a full revolution is Ø changing most rapidly?
with what initial velocity must an object be thrown upward (from ground level) to reach a maximum height of 200 meters when a(t)=-9.8 meters per second per second.
use 3.14 for pi. please show how to solve. A one-story building is 130 ft by 390 ft. if a square patio with sides 27 ft occupies the center of building, how much area remains for offices?
Use the information below to answer the question: Is the segment PB congruent to PD? Segment PA is orthogonal to the plane m
An ad for a computer printer stated that you could buy the printer for only $280.00, or 80 % of the original price . What was the original price of the printer?
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 66 ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
The perimeter of a square garden is 248 metres. What is the length of each side?
Show that if (a_n)^infinity evaluated at n=1, and (b_n)^infinity evaluated at n=1 are equivalent sequences of rationals, then (a_n) ^infinity evaluated at n=1 is a cauchy sequence if and only if (b_n)^infinity evaluated at n=1 is a cauchy sequence..
Solve the equations i. 6sinh theta - 4cosh theta-3=0 correct to 3 decimal places
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