The number of possible ways to organize these books based on their number is 240.
<h3>What is the combination?</h3>
In math, this is the concept that describes the organization of a set of elements such as books, people, etc. This concept differs from permutation because in combination, the order does not matter.
<h3>What is the combination formula?</h3>
The genral formula is:
- nCr = n! / ((n – r)! r!) n
- n= total of elements
- r= elements to be used
But in this case, whe can use the n!.
Based on this, let's find out the total ways the books can be arranged:
- Math books: 5! = 5 x 4 x 3 x 2 x 1= 120
- Social studies books = 1! = 1
- Science books= 2! = 2 x 1 = 2
- 120 x 1 x 2 = 240 ways
Note: This question is incomplete; here is the complete question:
Tthere are 5 different math books, 1 social studies book, and 2 different science books on the shelf. how many different ways can the books be arranged if the books of each type must be together?
Learn more about combination in: brainly.com/question/20211959
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Divide the actual building's measurements by the replica's measurements.
The measurements of the actual building are divided by
20 not 12.
The crew member's calculation is
incorrect.
Answer:
v=a+ 2e1= [3 1 1 1] 
.
Step-by-step explanation:
Let a = 
![\left[\begin{array}{ccc}\\1&1&1\\\end{array}\right] ^{T}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5C%5C1%261%261%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5E%7BT%7D)
and we know that
=±║α║₂= 2.
As we have gone over in class, the formula for v is v= a-e1
with the sign of chosen to avoid subtraction. This gives v=a+ 2e1= [3 1 1 1] .
Disclaimer ;The question is incomplete
Question:
Determine the Householder transformation that annihilates all but the first entry of the vector[1 1 1 1]>Specifically, if
![I-2vv^{T}/v^{T}v\left[\begin{array}{ccc}1\\1\\1\\1\end{array}\right]](https://tex.z-dn.net/?f=I-2vv%5E%7BT%7D%2Fv%5E%7BT%7Dv%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C1%5C%5C1%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
==![\left[\begin{array}{ccc}\alpha \\0\\0\\0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Calpha%20%5C%5C0%5C%5C0%5C%5C0%5Cend%7Barray%7D%5Cright%5D)
what are the values of α and v?
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learn more about it on
brainly.com/question/28180105
Answer:25.5m^3
Step-by-step explanation:
radius(r)=2.3m
π=3.14
volume of hemisphere=2/3 x π x r^3
Volume=2/3 x 3.14x(2.3)^3
Volume=2/3 x 3.14 x 2.3 x 2.3 x 2.3
volume=(2x3.14x2.3x2.3x2.3) ➗ 3
Volume=76.40876 ➗ 3
Volume=25.5
