(a) How many strings of five hexadecimal digits do not have any repeated digits?

Recognize that "( ) over 2^3" means ( ) • 2^-3. Use the rule of exponents
.. (a^b)^c = a^(b•c)

= 2^-16•5^10•19^-2 • 5^-8*2^-12 • 2^28

Now, you can use the rule of exponents
.. (a^b)*(a^c) = a^(b+c)

= 2^(-16 -12 +28) • 5^(10 -8) • 19^-2
= 5^2 • 19^-2
= 5^2 / 19^2
= 25/361

3 0

4 years ago

Which of the following points would fall on the line produced by the point-slope form equation y - 2 = 3/2(x + 4) when graphed?

Zielflug [23.3K]

Answer:

c. (-2, 5)

Step-by-step explanation:

y - 2 = 3/2(x + 4)

to know which is the correct option we have to replace the equation x and y with what is in the point

a.

y - 2 = 3/2(x + 4)

(-1) - 2 = 3/2((-2) + 4)

-3 = 3/2(2)

-3 = 3

Wrong

b.

y - 2 = 3/2(x + 4)

(5) - 2 = 3/2((-6) + 4)

3 = 3/2(-2)

3 = -3

Wrong

c.

y - 2 = 3/2(x + 4)

(5) - 2 = 3/2((-2) + 4)

3 = 3/2(2)

3 = 3

Correct

d.

y - 2 = 3/2(x + 4)

(-1) - 2 = 3/2((6) + 4)

-3 = 3/2(10)

-3 = 15

Wrong

8 0

3 years ago

PLEASE HELP

sattari [20]

Answer: THIRD OPTION.

Step-by-step explanation:

For this case it is important to know that by definition, there are three possible cases for the solution of a System of equations. These are shown below:

1. If the lines intersect each other, then the System of equations has ONE SOLUTION.

2. If the lines are parallel, then the System of equations has NO SOLUTION.

3. If the two equations are the same line, then the System of equations has INFINITELY MANY SOLUTIONS.

Observe the graphs attached in the exercise.

You can notice in the third graph that the "line a" and the "line b" are exactly the same line.

Therefore, based on the explained before, you can conclude that the third graph given in the exercise contains a System of equations with Infinitely many solutions.

3 0

3 years ago

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