If f(x)f(x) is an exponential function where f(-0.5)=27f(−0.5)=27 and f(1.5)=21f(1.5)=21, then find the value of f(0.5)f(0.5), to the nearest hundredth.

Given:

f(x) is an exponential function.

To find:

The value of f(0.5), to the nearest hundredth.

Solution:

The general exponential function is

For, x=-0.5,

         ...(i)

For, x=1.5,

         ...(ii)

Divide (ii) by (i).

Taking square root on both sides, we get

Putting b=0.882 in (i), we get

Now, the required function is

Putting x=0.5, we get

Therefore, the value of f(0.5) is 23.81.

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: