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Nadya [2.5K]
2 years ago
11

A word processing program requires a user to enter a 7-digit registration code made up of the digits 1,2,4,5,6,7 and 9. Each num

ber has to be used, and no number can be used more than once. How many codes are possible?
Mathematics
1 answer:
ahrayia [7]2 years ago
6 0
For the first digit there are 7 choices. For the second digit there are 6 choices (because we can't use the same one again). And so on, until there is only one choice for the last digit.

The number of possible codes is this:
7*6*5*4*3*2*1 = 7! = 5040
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a marble bag contains three red marbles and four gray marbles six white marbles and five black marbles what is the probability o
Andrews [41]

Answer:

1/27

Step-by-step explanation:

do good!

3 0
3 years ago
Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0
lorasvet [3.4K]

Answer:

equation;

(x + 4) {}^{2}  + (y - 2) {}^{2}  = 27

Center (-4,2)

Radius is

3 \sqrt{3}

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

(x - h) {}^{2}  + (y - k)  {}^{2}  =  {r}^{2}

Where (h,k) is center

r is the radius

So first we group like Terms together

{x}^{2}  + 8x  +  {y}^{2}  - 4y - 7 = 0

Add 7 to both sides

{x}^{2}  + 8x +  {y}^{2}  - 4y = 7

( {x}^{2}  + 8x) +(  {y}^{2}  - 4y) = 7

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

(\frac{8}{2} ) {}^{2}  = 16

and

( - \frac{4}{2} ) {}^{2}  = 4

so we have

{x}^{2}  + 8x + 16 +  {y}^{2}  - 4y + 4y = 7 + 16 + 4

{x}^{2}  + 8x + 16  +  {y}^{2}  - 4y + 4y = 27

(x + 4) {}^{2}  +  (y  - 2) {}^{2}  = 27

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

\sqrt{27}  = 3 \sqrt{3}

So the radius is 3 times sqr root of 3.

8 0
2 years ago
A Tv show had 3.5x10 to the 6th power viewers for their first episode and 8.5x10 to the 6th power viewers for their second episo
Sonbull [250]

is that x a variable or multiplication symbol?

Step-by-step explanation:

if multiplication the answer is 12 • 10 to the 6th power or 12,000,000 they are the same

5 0
2 years ago
Please answer the following:
konstantin123 [22]

Answer:

26 1/2

Step-by-step explanation:

convert 4 5/12 into 53/12

multiply 53/12 by 6 to get 53/2

turn 53/2 into a mixed number = 26 1/2

3 0
3 years ago
Read 2 more answers
I need help solving this
ladessa [460]
I’m not that sure but
B is (-2,2)
A is (-4,-2)
C is (2,2)
Hope it helps!!
5 0
3 years ago
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