Rank the following functions by order of growth; that is,find an arrangement g1, of the functions satisfying g1 ∈ ω(g2),g2 ∈ ω( ∈ ω(g30). partition your list into equivalence classes such that ƒ(n) and g(n) are in the same class if and only if ƒ(n)∈θ(g(

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

The area of a rectangle is 54x^9y^8 square yards.if the length of the rectangle is 6x^3y^4 yards,which expression represents the width of the rectangle in yards

Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4