B. 4.
You can get this by setting them equal to each other and getting all of the x terms to one side. Then get the number values to the other and divide the coefficient away.
Answer:
![r = \sqrt[3]{7.5 t/\pi} \\](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B7.5%20t%2F%5Cpi%7D%20%5C%5C)
Step-by-step explanation:
Given volume as a function of time is for a ball is V(t) = 10t
we know that volume of a sphere is given by 
where r is radius of sphere
Note we are using formula for sphere as ball is spherical in shape
Now equating volume V(t) = 10t, and volume of a sphere is given by formula
![10t = (4/3 ) \pi r^3\\=> 10t * 3/4 = \pi r^3\\=>(10t * (3/4))/\pi = r^3\\=> r^3= (30/4)*t /\pi = 7.5 t/\pi \\=> r = \sqrt[3]{7.5 t/\pi} \\\\or \\ r = ({7.5 t/\pi})^1/3](https://tex.z-dn.net/?f=10t%20%3D%20%284%2F3%20%29%20%5Cpi%20r%5E3%5C%5C%3D%3E%2010t%20%2A%203%2F4%20%3D%20%5Cpi%20r%5E3%5C%5C%3D%3E%2810t%20%2A%20%283%2F4%29%29%2F%5Cpi%20%20%3D%20r%5E3%5C%5C%3D%3E%20r%5E3%3D%20%20%2830%2F4%29%2At%20%2F%5Cpi%20%3D%207.5%20t%2F%5Cpi%20%5C%5C%3D%3E%20%20r%20%3D%20%5Csqrt%5B3%5D%7B7.5%20t%2F%5Cpi%7D%20%5C%5C%5C%5Cor%20%5C%5C%20r%20%3D%20%28%7B7.5%20t%2F%5Cpi%7D%29%5E1%2F3)
Hence radius at a given volume can be modeled by function
![=> r = \sqrt[3]{7.5 t/\pi} \\\\\\](https://tex.z-dn.net/?f=%3D%3E%20%20r%20%3D%20%5Csqrt%5B3%5D%7B7.5%20t%2F%5Cpi%7D%20%5C%5C%5C%5C%5C%5C)
Growth or Increase = (last value - initial value)/(initial value):
Growth/Increase = (2.09 - 1.89)/(1.89) = 0.1058 or 10.58 %
Answer:
NO WAIT NO IGNORE MY PREVIOUS ANSWER
NOT A FUNCTION
If you draw vertical lines on the dotted line, one line will intersect two parts of the dotted line, so it is not a function.
Answer:
Identifying at least one confounding variable that undermines the conclusion drawn in the fictional study is:
All students took the same comprehensive test.
Step-by-step explanation:
In a study, an independent variable causes an effect on the dependent variable. But a confounding variable is the variable that influences the independent variable as well as the dependent variable. If this third variable is not controlled, it might lead the researcher to make a wrong estimate of the relationship that exists between the independent variable and the dependent variable.
