Find the number b such that the line y=b divides the region bounded by the curves ![]()
and y=4 into two regions with equal area.
What will be an ideal response?
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Use the preference table to answer the question.Students in several classes are asked to rank their choices for days to come to campus to make presentations as a final project. There are three days where a big enough venue is available for each of the classes, Monday (M), Tuesday (T) and Friday (F). The results are shown in the following preference table.Number of Votes135853015First ChoiceFFTMSecond ChoiceTMFTThird ChoiceMTMFa. Which option is favored over all others using pairwise comparisons?b. Which option wins the vote using the Borda count method?c. Is the Condorcet criterion satisfied?
A. a. Friday, b. Friday, c. Yes B. a. Tuesday, b. Tuesday, c. No C. a. Tuesday, b. Monday, c. No D. a. Friday, b. Tuesday, c. Yes
Provide an appropriate response.The area of a circle depends on the length of its radius.(a)Write a function a(r) for the area of a circle.(b)How many square units of sod are needed to cover a circular grass area of radius x?(c)If the radius of the circular grass area is increased by 2 feet, how much more sod is needed?(d)How much more sod is needed per foot increase?(e)If the radius of a circular grass area is increased by h, how much more sod is needed?(f)How much more sod is needed per unit increase?
What will be an ideal response?
Use exponential notation to write the repeated multiplication.4 ? 4 ? 4
A. 41 B. 43 C. 3 ? 4 D. 34
Evaluate the given binomial coefficient.
A. 1 B. 6 C. 4 D. 0