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gayaneshka [121]
4 years ago
10

Suppose a person may use any six different letters except a, e, i, o, or u, to make a computer password. Using permutations, fin

d the number of possible six-letter, lower-case passwords.
Mathematics
1 answer:
sweet [91]4 years ago
8 0

Answer:

39,070,080 possible passwords

Step-by-step explanation:

The complete alphabet has 26 letters. Removing the 5 vowels, we have 21 letters.

We want to make groups of 6 letters, and the order of each letter matters, because it will create a different password, so we can write a permutation to solve this problem.

The number of elements is 21, and the group has 6 elements, so we have a permutation of 21 choose 6:

P(21,6) = 21! / (21-6)! = 21! / 15! = 21 * 20 * 19 * 18 * 17 * 16 = 39,070,080 possible passwords

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If x < y, then all of the following are true except _____.
____ [38]

Answer

1. - x < -y

Step by step explanation

When we multiply, add and divide the value remains the same.

But when you change the sign, the inequality direction will be > in this case, otherwise that is not ture.

For instance,

2 < 3

-2 < -3 is not true.

Because -2 is greater than -3

Hope this will help you.

Thank you. :)


7 0
4 years ago
Read 2 more answers
What is the correct expansion of (x - 2)(x - 5)?
kherson [118]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The equivalent expression is ~

  • {x}^{2}  - 7x + 10

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

  • (x - 2)(x - 5)

  • \small(x \times x) + (x \times  - 5) + ( - 2 \times x) + ( - 2 \times  - 5)

  • {x}^{2}  - 5x - 2x + 10

  • {x}^{2}  - 7x + 10

\mathrm{✌TeeNForeveR✌}

3 0
3 years ago
Read 2 more answers
4. Tests are performed to determine the Tool Life of a high speed steel single edge cutting tool. At a cutting speeds (v) of 180
podryga [215]

Answer:(a)   n=0.233

Step-by-step explanation:

Given

We Know according to Taylor tool life

VT^n=c

V=cutting speed

T=tool life

n=tool life exponent

c=constant

180\times \left ( 4.25\right )^n=110\times \left ( 35\right )^n

\frac{180}{110}=\left ( \frac{35}{4.25}\right )^n

1.636=\left ( 8.235\right )^n

taking log both side

\ln \left ( 1.636\right )=n\ln \left ( 8.235\right )

n=0.233                

3 0
3 years ago
How many solutions does this equation have?
drek231 [11]

The answer is infinitely many solutions because 0 = 0.

If you don't seem to see where I got 0 = 0, look at the equation,

4b – 4b = 0

first lets do the math on the left side.

4b - 4b  is equal to 0.

so lets put 0 on the left side, now lets look at the equation all together,

0 = 0,

and this means that it has infinitely many solutions.

The reason why it is not no solution because no solution means when there are no answers to the equation. For example, the solution is not true, such as the equation 24 ≠ 29. This is a no solution equation. One solution can be 4x = 20, as x = 5, concluding it being one solutions.

5 0
3 years ago
Ignore the answer thing it’s an scavenger hunt
Nikolay [14]

Answer: 19x is the first answer 5x - 24 is the second answer

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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