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stiks02 [169]
3 years ago
7

A computer password uses 5 letters where no letter may be repeated. How many passwords are possible?

Mathematics
2 answers:
Artemon [7]3 years ago
7 0
The correct answer is 26!/21!. I have turned this in and gotten a 100. Hoped this helped ya .
lora16 [44]3 years ago
4 0

Answer: 7893600

Step-by-step explanation:

Given: The number of digits used for computer password = 5

Number of letter in English alphabet=26

By using permutations, the required number of passwordssuch that there is no letter repeated is given by :-

^{26}P_5=\frac{26!}{(26-5)!}\\\\=\frac{26\times25\times24\times23\times22\times21!}{21!}\\\\=26\times25\times24\times23\times22=7893600

Hence, there area 7893600 passwords are possible.

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This is a proportion. What is the value of X?
Verizon [17]

Answer:

x = 15 or x = - \frac{2}{5}

Step-by-step explanation:

Cross- multiplying gives

(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )

238x² + 172x + 30 = 243x² + 99x

rearrange into standard form : ax² + bx + c = 0

5x² - 73x - 30 = 0 ← in standard form

consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )

the factors are - 75 and + 2

Use these factors to split the middle term

5x² - 75x + 2x - 30 = 0 ( factor by grouping )

5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)

(x - 15)(5x + 2) = 0

equate each factor to zero and solve for x

x - 15 = 0 ⇒ x = 15

5x + 2 = 0 ⇒ x = - \frac{2}{5}


7 0
3 years ago
Draw or write two ways to use a doubles fact to find 6+7
PtichkaEL [24]
Here are a few doubles facts:

5+5=10
2+2=4
3+3=6

A double is simply a pair of identical numbers added together. There's a pair of doubles you can <em>subtract </em>1 from to get 6+7, and there's a pair you can <em>add</em> 1 to get the same answer. What are those pairs?

Hint: If you take the example 3+4, you can either <em>subtract 1</em> from the double 4+4 or <em>add 1</em> to the double 3+3 to obtain your answer.
4 0
3 years ago
The function ƒ(x) = (x − 1)^2 + 5 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an i
melisa1 [442]

Answer:

f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.

Step-by-step explanation:

The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.

* if x>1, then x-1>0.

* Also since the parabola opens up, then y>5.

So let's solve y=(x-1)^2+5 for x.

Subtract 5 on both sides:

y-5=(x-1)^2

Take square root of both sides:

Plus/minus sqrt(y-5)=x-1

We want x-1>0:

Sqrt(y-5)=x-1

Add 1 on both sides:

Sqrt(y-5)+1=x

Swap x and y:

Sqrt(x-5)+1=y

x>5

y>1

3 0
3 years ago
152.5 is what percent of 61
Anna71 [15]
<span>152.5 is 250% of 61

Hope this helps! (tried to do an explanation and my browser crashed...) </span>
5 0
3 years ago
Read 2 more answers
Jimmy can read 800 words in a newspaper in 20 minutes.
trapecia [35]
40 words/mins



800 words divided by 20 minutes, 800/20=40
8 0
3 years ago
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