125. To find the answer to these questions, divide the number (50) by the percent in decimal form (40% = 0.4) 50 / 0.4 = 125. To make sure, 125 x 0.4 = 50.
Answer:
Step-by-step explanation:
1 group = 10 students
x group = 240 students.
1/x = 10/240 Cross multiply
10x = 240 Divide by 10
10x/10=240/10 Do the division
x = 24
![\bf 2=x^2+5x\implies 0=x^2+5x-2\\\\\\\qquad \qquad \qquad \textit{discriminant of a quadratic}\\\\\\0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{-2}~~~~~~~~\stackrel{discriminant}{b^2-4ac}=\begin{cases}0&\textit{one solution}\\positive&\textit{two solutions}\\negative&\textit{no solution}\end{cases}\\\\\\(5)^2-4(1)(-2)\implies 25+8\implies 33](https://tex.z-dn.net/?f=%20%5Cbf%202%3Dx%5E2%2B5x%5Cimplies%200%3Dx%5E2%2B5x-2%5C%5C%5C%5C%5C%5C%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Ctextit%7Bdiscriminant%20of%20a%20quadratic%7D%5C%5C%5C%5C%5C%5C0%3D%5Cstackrel%7B%5Cstackrel%7Ba%7D%7B%5Cdownarrow%20%7D%7D%7B1%7Dx%5E2%5Cstackrel%7B%5Cstackrel%7Bb%7D%7B%5Cdownarrow%20%7D%7D%7B%2B5%7Dx%5Cstackrel%7B%5Cstackrel%7Bc%7D%7B%5Cdownarrow%20%7D%7D%7B-2%7D~~~~~~~~%5Cstackrel%7Bdiscriminant%7D%7Bb%5E2-4ac%7D%3D%5Cbegin%7Bcases%7D0%26%5Ctextit%7Bone%20solution%7D%5C%5Cpositive%26%5Ctextit%7Btwo%20solutions%7D%5C%5Cnegative%26%5Ctextit%7Bno%20solution%7D%5Cend%7Bcases%7D%5C%5C%5C%5C%5C%5C%285%29%5E2-4%281%29%28-2%29%5Cimplies%2025%2B8%5Cimplies%2033%20)
so we have a 33, namely two real solutions for that quadratic.
usually that number goes into a √, if you have covered the quadratic formula, you'd see it there, namely that'd be equivalent to √(33), now 33 is a prime number, and √(33) is yields an irrational value, specifically because a prime number is indivisible other than by itself or 1.
so 33 can only afford us two real irrational roots.
The answer would be 15,120
Given:
The radius of the sphere is 6 in.
To find:
The volume of the sphere.
Solution:
We know that, the volume of a sphere is
![V=\dfrac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Where, r is the radius of the sphere.
Putting r=6, we get
![V=\dfrac{4}{3}\pi (6)^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20%286%29%5E3)
![V=\dfrac{4}{3}\pi (216)](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20%28216%29)
![V=288\pi](https://tex.z-dn.net/?f=V%3D288%5Cpi)
![V\approx 904.78](https://tex.z-dn.net/?f=V%5Capprox%20904.78)
The volume of the sphere is 904.78 inches cubed.
Therefore, the correct option is C.