Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given
--- number of letters
Solving (a): Number of arrangements.
We have:
So, the number of arrangements is calculated as:
This gives:
This gives:
Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:
So, the number of arrangements is calculated as:
This gives:
This gives:
Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:
So, the number of arrangements is calculated as:
This gives:
This gives:
To arrange the given polynomial in descending order of x, we only look at the exponent of x in each term and then write it in decreasing order of the value. We do as follows:
2xy^4 + 2x^2y − 3y^2 + 10x^3<span>
10x^3 + 2x^2 + 2xy^4 - 3y^2
The degree of the third term would be 5. The degree of a term is the sum of the exponents of the variables involved in the term.
</span>
Answer:
$29.25
Step-by-step explanation:
39 x .25 = 9.75
39 - 9.75 = 29.25
First you take 15 and divide it by 5. That leaves you with 3. You also need to decide the x’s so you subtract the exponents (2-3=-1)
so you now have (y^10z^7)/(y^4z^10)3x^-1
Next we will divide the y’s.
Again, subtract the exponents (10-4=6) to get y^6
Now we have (3x^-1)(y^6) (z^7/z^10)
Last is z, we subtract the exponents again (7-10=-3) and get z^-3
Our answer is (3x^-1)(y^6)(z^-3)
A value equal to -(-3.7) is 3.7
The negative signs outside and inside zero out each other, which means you will get a positive. Think of (negative) as opposite. The opposite of an opposite will cancel out and give you what you had.
