Answer:
p(t) = 5*2^t
Step-by-step explanation:
We can solve for 'a' and 'b' using the point coordinates shown on the graph.
<h3>Setup</h3>
Substituting for (t, p(t)), the two equations we can make from the given points are ...
p(t) = a*b^t
5 = a*b^0 . . . . . . . (t, p(t)) = (0, 5)
10 = a*b^1 . . . . . . . (t, p(t)) = (1, 10)
<h3>Solution</h3>
The first equation tells you ...
5 = a
The second equation tells you ...
10 = 5*b
2 = b
<h3>Equation</h3>
The function is ...
p(t) = a*b^t
p(t) = 5*2^t
Answer:
Radius=4 units
Centre= (0,-10)
Step-by-step explanation:
Given equation of circle is x^2 +(y-10)^2=16
Comparing it with (x-h)^2 +(y-k)^2 = r^2 ,we get,
r=4
Since, centre of a circle=(h,k)=(0,-10)
Answer:
16^6
Step-by-step explanation:
4^2 x 4^4 = 16^6
