Answer:
Diameter = 12.00 in
Step-by-step explanation:
Given:
Capacity of water balloon (V) = 904.78 in³
Let the diameter of the water balloon be 'd' inches.
Assuming the water balloon is spherical in shape.
We know that, volume of a sphere is given as:
Where 'r' is the radius of the sphere.
Use π = 22/7
Now, plug in the given values and solve for radius 'r'. This gives,
![904.78=\frac{4}{3}\times \frac{22}{7}\times r^3\\\\904.78=\frac{88r^3}{21}\\\\88r^3=904.78\times 21\\\\r^3=\frac{19000.38}{88}\\\\r^3=215.9134\\\\r=\sqrt[3]{215.9134}=5.9992\ in](https://tex.z-dn.net/?f=904.78%3D%5Cfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cfrac%7B22%7D%7B7%7D%5Ctimes%20r%5E3%5C%5C%5C%5C904.78%3D%5Cfrac%7B88r%5E3%7D%7B21%7D%5C%5C%5C%5C88r%5E3%3D904.78%5Ctimes%2021%5C%5C%5C%5Cr%5E3%3D%5Cfrac%7B19000.38%7D%7B88%7D%5C%5C%5C%5Cr%5E3%3D215.9134%5C%5C%5C%5Cr%3D%5Csqrt%5B3%5D%7B215.9134%7D%3D5.9992%5C%20in)
Now, diameter is equal to twice of radius. Therefore,
Therefore, the diameter of the balloon is 12.00 inches.
(f○g)(x)=√(7(x+8))
(f○g)(x)=√(7x+56)
Since there is no real square root of a negative value, the smallest value in the domain would make the radicand equal to zero. x=-8 is the smallest number in the domain of (f○g)(x)
Your in luck! I was just learning these percent things today 'xD but Not in luck at the same time. I will answer the 2 questions that's the most I can do.
1. $17.50 with a 7% sales tax
Answer: 17.50 times .07 equals 1.23
17.50 plus 1.23 equals 18.73
The answer is $18.73
2. 21.95 with a 4.25% sales tax
Answer: 21.95+4.25=26.20
Hope this helps!! :D this took me a while to figure out and used a bit of my time. So I hope the time was worth it! :)
F(x) = x^2 + 1
f(4) = 4^2 + 1 = 16 + 1 = 17
2*f(4) = 2 * 16 = 32
