<em>C. A sphere with radius 0.6 inches.</em>
<u><em>Here is why:</em></u>
The equation for the volume of a sphere is:
We can plug in and solve.
We will multiply everything but leave the 3 to divide later.
So...
Divide by 3.
0.288π
If a bicyclist travels 3 miles in 15 minutes, how far will he travel in 25 minutes maintaining a constant speed? (includes units
2 answers:
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The given expression is:
![\sqrt[4]{ 9^{ \frac{1}{2}x } }](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%209%5E%7B%20%5Cfrac%7B1%7D%7B2%7Dx%20%7D%20%7D%20%20)
4th root is equivalent to raising the expression to power
. So, re-writing the expression by converting radical to exponent:
Therefore, the given expression simplifies to
4th root is equivalent to raising the expression to power
Therefore, the given expression simplifies to
<h2>Answer:</h2>
The correct options are:
- The domain is all real numbers.
- The base must be less than 1 and greater than 0.
- The function has a constant multiplicative rate of change.
We know that the exponential function is given by:
where a>0 and b are constants.
Also, it represents a growth function if b>1
and a decay function if 0<b<1
where b is the base.
- x belongs to whole of the real numbers( since the exponential function is well defined for all the real values of x.
Hence, the domain of the function is all the real numbers )
- Also, the graph of a decay function decreases continuously i.e. with the increasing input value the output value decreases.
- The exponential decay function always have a constant multiplicative rate of change i.e. b.