Answer: 212,520
Step-by-step explanation:
Given : A pianist plans to play 4 pieces at a recital from her repertoire of 23 pieces, and is carefully considering which song to play first, second, etc.
It means the repetition of pieces is not allowed.
When repetition is not allowed , then the number of ways to arrange n things where r things taken together is given by :-
Now, the number of different recital programs are :-
Hence, there are 212,520 different recital programs possible.
Answer:
z=4, y=11, x=1
Step-by-step explanation:
The sides don't change when a shape is reflected over,
so we can use the other sides to find the variables.
3z=12, so z=4. 2y-4=18, so y=11. 9x+6=15, so x=1
<h2>Steps:</h2>
So firstly, I will be factoring by grouping. For this, factor x⁶ - 9x⁴ and -x² + 9 separately. Make sure that they have the same quantity on the inside of the parentheses:
Now, you can rewrite the equation as:
However, it's not completely factored. Next, we will apply the formula for the difference of squares, which is . In this case:
Next, we will apply the difference of squares once more with the second factor as such:
<h2>Answer:</h2>
<u>The factored form of this equation is: </u>
So the problem ask to find the un simplified form of the simplified form of a radicals. In my calculation and further reversing the forms, i came up of an answers of sqrt(18), - sqrt(150) and negative postive sqrt(12096). I hope you are satisfied with my answer and feel free to ask for more if you have clarification and further questions.
<span>Given
situation
=> A piece of string is said to have a measurement of 25 and ½ inches long.
=> It will be cut in ¾
Question: How many pieces of string will there be?
Solutions:
=> 25 and ½ = 25. 50 inches long
=> ¾ = .75 inches long
Let’s start the division to get the answer that we need:
=> 25.5 / .75
=> 34, thus there will be 34 pieces of cut string which measures 0.75 inches
long.</span>