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A farmer has a piece of fencing wire of length 625 m. the farmer intends to fence a portion of the land that will maximize, the area for keeping cattle. Determine the dimensions of the portion that will give the maximum area.
The height of one square pyramid is 36 m. A similar pyramid has a height of 18 m. The volume of the larger pyramid is 1600 m3. Determine each of the following.
Identify the variables and determine the system of equations. Use the Gauss-Jordan elimination method and solve the system of equations
At time t=0, the chemicals are mixed and X is produced at a rate of 2 grams/minute. Write a differential equation that describes the amount of X as a function of time. Include the necessary initial condition.
Often when people use regression analysis to estimate the effect of police officers or police spending on crime, they find that cities with larger police forces/budgets have higher crime rates. Therefore, police cause crime.
Two trains leave stations 374 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?
A steep mountain is inclined 79 degree to the horizontal and rises 3100 ft above the surrounding plain. A cable car is to be installed from a point 900 ft from the base to the top of the mountain. Find the shortest length of cable needed.
Your salary in year 1 is $65,000. You deposit 6% at the end of each yearin a savings account that earns 4% interest compounded daily (360days/yr.). Your salary increases by 3% per year. What value does your savings account show after 40 years?
A retailer finds that the demand for a very popular board game averages 100 per week with a standard deviation of 20. If the seller wishes to have adequate stock 95% of the time, how many of the games must she keep on hand?
The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3. What is the common ratio in this sequence?
due to the variation of environmental conditions and imperfections in the measurement method a single measurement will
Suppose that the average outstanding credit card balance for young couples is $650 with a standard deviation of $ 420. If a couple is selected at random, what is the probability the outstanding credit card balance exceeds $ 700?
In our Learning-Team forum, we are to chose a graphing software/method and 'teach' it to the rest of the class. For this assignment, I have chosen the graphing software "Graph 4.x".
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