Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length a = 15 if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse. Assume the vertex opposite the hypotenuse is located at (0, 0), and the sides are along the positive axes.
What will be an ideal response?
(6, 6)
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City A has an initial population of 2.1 thousand. The population grows by 5% each year. City B has an initial population of 6.7 thousand. The population declines by 7% per year. ?? A: Find a formula that gives the population A, in thousands, of city A after t years. ? B: Find a formula that gives the population B, in thousands, of city B after t years. ? C: Make a graph that shows both populations over the first 20 years. ? D: When will the populations of the two cities be the same? Round your answer to two decimal places if necessary. What is that common population? Round the number of thousand to two decimal places if necessary. ??
What will be an ideal response?
Define the variable expression using the given information.Rasheed's monthly salary is $190 more than Fred's monthly salary. Define the variable expression for Rasheed's monthly salary using the variable f to represent Fred's salary.
What will be an ideal response?
A system of nonlinear equations is given. Sketch the graph of the equation of the system and then determine the number of real solutions to the system. Do not solve the system.x2 + y2 = 522y + 3x = 0
A. Two
B. Two
C. Two
D. Four
Simplify. Assume that no denominator is zero and that 00 is not considered.
4
A. 
B. 
C. 
D. 