Answer:
Step-by-step explanation:
Given
5 tuples implies that:
implies that:
Required
How many 5-tuples of integers are there such that
From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.
Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location
So, there are n + 4 items to make selection from
The selection becomes:
Expand the numerator
<u><em>Solved</em></u>
Answer:
Step-by-step explanation:
According to the given situation, the calculation of volume of the solid is shown below:-
Here we will consider the curves that is
Now, rotating the line for the line x which is equals to 7
So, the inner radio is
7 - 7 = 0
and the outer radius is
Now, the area of cross section is
The volume is
now we will put the values into the above formula
After solving the above equation we will get
Answer:
16.65
Step-by-step explanation:
15 percent of 111 is the same as 15 per hundred of 111. We can therefore make the following equation:
15/100 = X/111
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 111, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:
15/100 = X/111
X/111 = 15/100
X*111/111 = 15*111/100
X = 1665/100
X = 16.65
or
The work above shows the long way to explain how to calculate 15 percent of 111 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula:
(Y * P)/100
In our problem "What is 15 percent of 111?", Y is 111 and P is 15:
(111 * 15)/100 = 16.65
And once again you see that the answer is 16.65.