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pantera1 [17]
3 years ago
10

Determine whether the following problem involves a permutation or a combination and explain your answer. How many different ​-le

tter passwords can be formed from the letters ​, ​, ​, ​, ​, ​, and if no repetition of letters is​ allowed? Choose the correct answer below. A. The problem involves a permutation because the order in which the letters are selected does matter. B. The problem involves a combination because the order in which the letters are selected does not matter. C. The problem involves a combination because the order in which the letters are selected does matter. D. The problem involves a permutation because the order in which the letters are selected does not matter.
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0

Answer:

B. The problem involves a combination because the order in which the letters are selected does not matter.

Step-by-step explanation:

Computation technique is a method of statistics to find possible ways of combination. In computation technique it is assumed that order does not matter and letters will be selected at random. Permutation is a statistics technique to find possible ways of combination when the order does matter. Permutation technique cannot be used when order does not matter.

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Let divf = 6(5 − x) and 0 ≤ a, b, c ≤ 12. (a) find the flux of f out of the rectangular solid 0 ≤ x ≤ a, 0 ≤ y ≤ b, and 0 ≤ z ≤
dusya [7]
Continuing from the setup in the question linked above (and using the same symbols/variables), we have

\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}(\nabla\cdot f)\,\mathrm dV
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=\displaystyle6bc\int_0^a(5-x)\,\mathrm dx
=6bc\left(5a-\dfrac{a^2}2\right)=3abc(10-a)

The next part of the question asks to maximize this result - our target function which we'll call g(a,b,c)=3abc(10-a) - subject to 0\le a,b,c\le12.

We can see that g is quadratic in a, so let's complete the square.

g(a,b,c)=-3bc(a^2-10a+25-25)=3bc(25-(a-5)^2)

Since b,c are non-negative, it stands to reason that the total product will be maximized if a-5 vanishes because 25-(a-5)^2 is a parabola with its vertex (a maximum) at (5, 25). Setting a=5, it's clear that the maximum of g will then be attained when b,c are largest, so the largest flux will be attained at (a,b,c)=(5,12,12), which gives a flux of 10,800.
7 0
3 years ago
Is algebra.
Ket [755]

Answer:

6(x-10)(x+9)

Step-by-step explanation:

First, make A equal one by factoring out the greatest common factor, 6. This makes the new expression 6(x^{2} +x-90). Then, factor the remaining polynomial by finding two numbers that multiply to -90 and add to 1. These two numbers are -10 and 9. So, add each term to x and then multiply to get the final answer, 6(x-10)(x+9).

5 0
3 years ago
I need help it’s homework and idk how to do it
Volgvan

Answer:

  x = 40 1/2

Step-by-step explanation:

The hash marks tell you the triangles are similar and the smaller one is 1/2 the size of the  larger one. Then x is half the length of the corresponding segment marked 81.

  x = 81/2

  x = 40 1/2

___

You may have to write it as 81/2 or as 40.5. Sometimes the answer needs to be in a particular form.

3 0
3 years ago
here is my question: Find the rule which gives the number of matchsticks required to make the following matchstick patterns?
kipiarov [429]
Number of matchsticks required is 2. Rule which matchstick pattern is 2 x n.
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2 years ago
A woman traveled 2438.1 miles in 17 hours 20 minutes. Find the average speed of her light in miles per hour (Change 17 hours 20
adell [148]

Answer:

+140.68 m/h

Step-by-step explanation:

17.33 h

2438.1/17.33 = 140.68

+140.68 m/h

6 0
3 years ago
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