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Question: The figures are made of rectangles and semicircles.
(a) Find a formula for the area.
(b) Find a formula for the perimeter.
(c) Find the dimensions x and y that maximize the area given that the perimeter is 100.
Evaluate the exponential equation for three positive valus of x, three negative values of x, and x = 0. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph. State if the equation of the line is asymptotic.
Formulate and prove a version of the division algorithm for integers allowing negative remainders. Will you be able to preserve uniqueness of the quotient and remainder?
A large koi pond is filled with a garden hose at a rate of 10 gallons per minute. After 5 minutes the pond has 475 gallons of water. Find a linear equation that models the number of gallons y of water in the pond after t minutes.
Define leadership. What is the difference between a leader and a manager? What is the relative importance of leaders and managers to the success of organisations today?
The demand for the Super Titan tires is 1,000,000/year. The setup cost for each production run is $4000, and the manufacturing cost is $20/tire.
give an example of using the distributive property for a negative monomial times a trinomial with different signs on
Farmer Jimenez hides 12 decorated duck eggs, all colored differently, and then lets her three weasels out of a cage to hunt for them.
Solve the problem. f(x) = log6(x + 3) and g(x) = log6(x - 2). Solve g(x) = 3. What point is on the graph of g
A local hamburger shop sold a combined total of hamburgers and cheeseburgers on Saturday. There were more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
Ben needs 550 grams of flour to bake two small loaves of bread. How many kilograms flour will he need for thirteen small loaves
Using Excel to graph, prove whether the following equation could possibly be an identity or determine if it is definitely not an identity.
Search the internet to find two graphs to critique: one you evaluate to be a good graphical representation of the information presented and the other to be a poor graphical representation of the information presented.
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