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You have a wire that is 38 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum?
Determine the nature of the solutions of the equation. x^2-10=0. Choose the correct nature of the solutions of the equation. Is it a) 1 real solution; b) 2 imaginary solutions; or c) 2 real solutions.
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
At a 5 percent level of significance, test to see if there is a significant difference in the average amount spent at the two schools. Write your conclusion?
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
A surveyor measures the top of a building. The top of the building is 50 ft away from his angle-measuring device. His angle-measuring device is 4 ft above ground. The angle of elevation to the top of the building is 63 degrees. How tall is the bui..
Imagine you are talking about your college math class over the family dinner table with your father, and he asks, "What are Venn diagrams?" Describe how you would explain them to him.
How do I relate the relationship between geometry and abstract algebra to how the symmetries of a square are conceptualized as the dihedral group of 8?
The probability that federal income tax returns will have 0,1, or 2 errors is 0.53,0.15, and 0.32. if 10 randomly selected returns are audited
Find the gradient and the intercept of the following linear equation.
How many different triple-scoop cones can be made if the flavors can be duplicated?
Evaluate {double integral over region R} [F(dot)n dA] where F= x(ihat)+y(jhat)+(1-x^2-y^2)(khat) and n = 2x(i)+2y(j)+k and R is the disk x^2+y^2
How much variation does knowledge of Age Score account for in Competence Scores?
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