Answer:
The radius of the inflated spherical balloon is 45 millimeters.
Step-by-step explanation:
Volume of the spherical water balloon = 121,500 pi cubic millimeters
Let the radius of the balloon = r
Now, Volume of a Sphere = 
⇒
On solving for the value of r, we get:
![r^{3} = \frac{121,500\times 3}{4} = 91125\\ \implies r = \sqrt[3]{91125}](https://tex.z-dn.net/?f=r%5E%7B3%7D%20%20%3D%20%5Cfrac%7B121%2C500%5Ctimes%203%7D%7B4%7D%20%20%20%3D%2091125%5C%5C%20%5Cimplies%20%20r%20%20%3D%20%5Csqrt%5B3%5D%7B91125%7D)
or, r = 45 millimeter
Hence, the radius of the inflated spherical balloon is 45 millimeters.
The function f(x) = x² then the required function exists g(x) = -x²- 4.
<h3>What is a function?</h3>
The function exists described as y = f(x).
In mathematics, a function from a set X to a set Y allocates to each element of X exactly one element of Y. The set X exists named the domain of the function and the set Y exists named the codomain of the function. Functions stood originally for the idealization of how a variable quantity relies on another quantity.
For every x there exists a certain value of y.
From the graph g(x) exists reflection of f(x) at y = -4.
So g(x) = -f(x) - 4, the negative sign for reflection.
g(x) = -x² - 4
The required function exists g(x) = -x² - 4.
Therefore, the correct answer is option D. g(x) = -x² - 4.
To learn more about functions, refer to:
brainly.com/question/12431044
#SPJ9
The complete question is:
F(x) = x². What is g(x)?
A. g(x) = x² - 4
B. g(x) = x² + 4
C. g(x) = -4x²
D. g(x) = -x² - 4
1 - 1/3= 2/3
180(2/3)= 120
120 hikers did not camp overnight.
Hopefully, this helps!
× = .5 or 1/2 because .5×4=2
Group C ran more miles an individual.
Explanation: To find the number of miles per individual, you must subtract the total number of miles by the total number of people who ran those miles. Which ever answer is larger, tells us which group ran more miles an individual.
Here are the calculations-
Group C: 27/4=6.75
Group D: 39/6=6.5
As you can see, Group C ran more miles an individual than Group D.
Hope this Helped!
