A decimal in the wrong place can change the value of a number completely for example
0.5 can be converted to 50 cents or 1/2 but if you change the decimal 0.05 converts to 5% or 1/20.
For a, you could use the volume of a sphere divided by two to solve for a dome (like when you cut a sphere in half).
For b, you could use the volume of a rectangular prism divided by three when solving for a rectangular pyramid.
This is because the volume for a rectangular prism is V=lwh, and for a rectangular prism the volume is V= (1/3)lwh
The quadratic function is given by the equation
The maximal height will be at vertex. Find t-coordinate of the parabola vertex:
At t=4,
Answer: it will take 4 seconds for the ball to reach the maximal height of 3.7 feet.
Use the formula:
Y-yo=m(x-xo)
In realistic world there are so many examples which use exponential and logarithmic functions.
Use of Logarithmic function
We can find use of logarithmic function in measuring earthquake (Richter Scale) , the brightness of stars , and chemistry(pH balance , measure of acidity and alkalinity)
For example:
In Richter Scale , a logarithmic function that is used to measure the magnitude of earthquake.
If A = measure of amplitude of earthquake wave.
= Amplitude of smallest detectable wave.
From this we can find R the Richter scale measure of magnitude of earthquake.
Use of Exponential Function:Exponential function may use in finding compound interest , population growth , radioactivity decay , etc.
For example :
As we know the formula for compound interest is
Where P is principal amount , r = rate of interest(decimal) , n is the number of compounding period , t is time.
For