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A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (Give your answers correct to two decimal places.)
(a) How much wire should be used for the square in order to maximize the total area?(b) How much wire should be used for the square in order to minimize the total area?
Assuming exponential population growth, predict the populations of China and the U.S. in the years 2100 and 2200. Assuming exponential population growth, approximately when will China's population double?
Find the first five positive deficient square pentagonal numbers. The answer should demonstrate in a table with 3 columns how to get the corresponding m, n and Pm for each of the 5 numbers.
A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. if 35 students are randomly selected, find the probability that the mean of their test scores will be greater than 76.
For the expression :4x^3 +2x^4 +6xy^2, what is the degree of this polynomial expression and what is the highest degree x-term?
June finishes her math homework 90% of the time.If she has homework for each school day for four full school weeks, how many days will she turn in her homework?
determine the probability that the metal balls falls on the number 31 or a red slot.
One airplane is approaching an airport from the north at 149 km/hr. A second airplane approaches from the east at 246 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 27 km away from the airport an..
A union official wanted to get an idea of whether a majority of workers at a large corporation would favor a contract proposal. She surveyed 500 workers and found that 240 did not favor the proposal.
What is the probability that a randomly selected bike that did not pass inspection came from assembly line B?
At a one percent level of significance, test to see if the mean of the population is at least twelve ounces. Write your conclusion?
Compute the integral of 4y^3 dx -2x^2 dy around the square bounded by the lines y=+/- 1 and x=+/-1. Directly by performing the line integration.
find the slope, if it exists, of the line containing the pair of pairs. (9,5) and (10, -8)
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