Answer:
The base is 0.1
The base is less than 1 so the function is decreasing
The x intercept is (3,0)
Step-by-step explanation:
The base of a logarithm refers to the number that must be raised to the power of the number on the right hand side of the logarithmic equation in order to yield the number on the left hand side of the logarithmic equation. It is always written as a subscript below the log symbol. In this case, the base is 0.1.
When the base of a logarithm is less than 1, it means that the function is decreasing as is the case in this question.
Looking at the graph, the x axis is cut at the point (3,0). This is the x-intercept of the graph.
Answer: ![11\ ft](https://tex.z-dn.net/?f=11%5C%20ft)
Step-by-step explanation:
Given
The volume of a sphere is ![5572.45\ ft^3](https://tex.z-dn.net/?f=5572.45%5C%20ft%5E3)
The volume of sphere with radius r is given by
![\Rightarrow \dfrac{4\pi r^3}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D)
Insert the values
![\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D%5Cdfrac%7B4%5Cpi%20%7D%7B3%7D%5Ctimes%20r%5E3%5C%5C%5C%5C%5CRightarrow%205572.45%3D%5Cdfrac%7B4%5Cpi%20%7D%7B3%7D%5Ctimes%20r%5E3%5C%5C%5C%5C%5CRightarrow%20r%5E3%3D%5Cdfrac%7B5572.45%5Ctimes%203%7D%7B4%5Cpi%20%7D%5C%5C%5C%5C%5CRightarrow%20r%5E3%3D1330.992%5C%5C%5C%5C%5CRightarrow%20r%3D10.97%5Capprox%2011%5C%20ft)
Therefore, the radius is ![11\ ft](https://tex.z-dn.net/?f=11%5C%20ft)
Not sure if you are just looking for equations but it would be written as
1/4(r+10)=r-4
Solving would be
1/4r+10/4=r-4
26/4=3/4r
r=26/3 or 8.66
Answer:
In statistics, bivariate data is data on each of two variables, where each value of one of the variables is paired with a value of the other variable. ... For example, bivariate data on a scatter plot could be used to study the relationship between stride length and length of legs.
Step-by-step explanation:
hope this helps