Write each product using an exponent: example 6x6==
1 answer:
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Step-by-step explanation:
We are given a set of points (0,3), (4,2), (9,7) and (10,-1) representing a function.
It is required to graph the function and its inverse.
As we know that, the inverse of a function is reflected by y=x line on the graph.
So, in order to find the inverse we have to replace the co-ordinate (x,y) by (y,x).
Then the points (3,0), (2,4), (7,9) and (-1,10) represents the inverse of the function.
So, after plotting all the points of the function and its inverse, we get the following graph, where figure 1 is of the function and figure 2 is of its inverse.
Using the Pythagorean theorem we get:
Simplifying the above result we get:
Subtracting 64 from the above equation we get:
Therefore:
Answer:
Answer:
about 15 hours
Step-by-step explanation:
You want to find t such that N(t)=200. Fill in the equation with that information and solve for t.
200 = 400/(1 +399e^(-0.4t))
1 +399e^(-0.4t) = 400/200 = 2 . . . . . multiply by (1+399e^(-0.4t))/200
399e^(-0.4t) = 1 . . . . . . . . . . . . . . . . . . subtract 1
e^(-0.4t) = 1/399 . . . . . . . . . . . . . . . . . .divide by 399
-0.4t = ln(1/399) . . . . . . . take the natural log
t = ln(399)/0.4 ≈ 14.972 . . . . . . . divide by -0.4, simplify
Rounded to tenths, it will take 15.0 hours for half the people to have heard the rumor.
