Answer:
1/6
Step-by-step explanation:
On an equal dice? 1/6
There are 6 sides to a dice.
The sum of all the probabilities is 1.
As each side has equal probability, their probability is 1 / number of options = 1/6.
270
<h3>
Further explanation</h3>
<u>Given:</u>
<u>Question:</u>
What is the value of ![\boxed{ \ \bigg( \frac{f}{g} \bigg)(5)? \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cbigg%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cbigg%29%285%29%3F%20%5C%20%7D)
<u>The Process:</u>
The form of
means that f(x) is divided by g(x).
![\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ } \rightarrow \boxed{ \ \frac{f(x)}{g(x)} \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%20%5C%20%5Cbigg%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cbigg%29%28x%29%20%5C%20%7D%20%5Crightarrow%20%5Cboxed%7B%20%5C%20%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5C%20%7D%7D)
Let us solve the problem.
![\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = \frac{7 + 4x}{\frac{1}{2x}} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cbigg%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cbigg%29%28x%29%20%3D%20%5Cfrac%7B7%20%2B%204x%7D%7B%5Cfrac%7B1%7D%7B2x%7D%7D%20%5C%20%7D)
![\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = (7 + 4x) \times \frac{2x}{1} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cbigg%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cbigg%29%28x%29%20%3D%20%287%20%2B%204x%29%20%5Ctimes%20%5Cfrac%7B2x%7D%7B1%7D%20%5C%20%7D)
Thus, we get ![\boxed{{ \ \bigg( \frac{f}{g} \bigg)(x) = 14x + 8x^2 \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%7B%20%5C%20%5Cbigg%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cbigg%29%28x%29%20%3D%2014x%20%2B%208x%5E2%20%5C%20%7D%7D)
And now, we can calculate the value of
.
![\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 14(5) + 8(5)^2 \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cbigg%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cbigg%29%285%29%20%3D%2014%285%29%20%2B%208%285%29%5E2%20%5C%20%7D)
![\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 70 + 200 \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cbigg%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cbigg%29%285%29%20%3D%2070%20%2B%20200%20%5C%20%7D)
Thus, the value is 270.
- - - - - - - - - - -
Alternative thinking
![\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = \frac{7 + 4(5)}{\frac{1}{2(5)}} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cbigg%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cbigg%29%285%29%20%3D%20%5Cfrac%7B7%20%2B%204%285%29%7D%7B%5Cfrac%7B1%7D%7B2%285%29%7D%7D%20%5C%20%7D)
![\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = (7 + 20) \times 10} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Cbigg%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cbigg%29%285%29%20%3D%20%287%20%2B%2020%29%20%5Ctimes%2010%7D%20%5C%20%7D)
![\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 270 \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%20%5C%20%5Cbigg%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%5Cbigg%29%285%29%20%3D%20270%20%5C%20%7D%7D)
<h3>Learn more</h3>
- If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
- Solve for the value of the function composition brainly.com/question/2142762
- If g(x) is the inverse of f(x), what is the value of f(g(2)) brainly.com/question/1517760
Keywords: if, f(x), g(x), function, divide by, the value, (f/g)(5), 5, 270
#learnwithBrainly
Answer:
Step-by-step explanation:
-----------
5/7 can be written as 0.714285
-----
7/9 can be written as 0.777
∴ An irrational number between 5/7 and 7/9 is 0.72010010001.....
or u ca write other numbers also like
0.73010203.....
0.74090080007.....
![\bf \textit{surface area of a cylinder}\\\\ S=2\pi r(h+r)\qquad \begin{cases} h=height\\ r=radius \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bsurface%20area%20of%20a%20cylinder%7D%5C%5C%5C%5C%0AS%3D2%5Cpi%20r%28h%2Br%29%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Ah%3Dheight%5C%5C%0Ar%3Dradius%0A%5Cend%7Bcases%7D)
looking at the picture above... you do have the radius, is just in the truncated part of the picture... so you have "h" and "r", so just plug them in
Answer: -w(2w+7): -2w ^2 - 7w
Step-by-step explanation: