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Yuri [45]
2 years ago
9

how many different license plates can be formed if each plate plate has 5 different digits followed by 1 letter

Mathematics
1 answer:
Elina [12.6K]2 years ago
3 0

This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.

For the first five digits you can choose from the numbers 0,1,2...,9 or 10 choices.

A we cannot repeat the digits, so, first five digits will be:

10 × 9 × 8 × 7 × 6

Now the next 1 digit will all be letter all being different

There are 26 letters in the alphabet.. for our second digit we have 26 choices,

Here is the whole calculation:

= 10 × 9 × 8 × 7 × 6 × 26

= 786240

To learn more about calculating possibilities from the given link

brainly.com/question/4658834

#SPJ4

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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir
FromTheMoon [43]

The statements which are correct about the equation of circle x^{2} +y^{2}-2x-8=0 are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is x^{2} +y^{2} =9.

Given the equation of circle be x^{2} +y^{2}-2x-8=0.

We are required to find the appropriate statements related to the equation x^{2} +y^{2}-2x-8=0.

x^{2} +y^{2}-2x-8=0 can be written as under:

x^{2} +y^{2} -2x+1-9=0

x^{2} +1^{2}-2x+y^{2} -9=0

(x-1)^{2}+y^{2}-9=0

(x-1)^{2} +y^{2} =9

(x-1)^{2}+y^{2}  =3^{2}

Equation of a circle usually in the form x^{2} +y^{2} =a^{2} in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle x^{2} +y^{2}-2x-8=0 are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is x^{2} +y^{2} =9.

Learn more about radius at brainly.com/question/24375372

#SPJ1

3 0
1 year ago
Yx*2; use x=7,And y=2
Lyrx [107]

Answer:

28

Step-by-step explanation:

First you plug in your x, and y to get (2)(7)*2

Then you just have to times them all together and you get 2*7=14 then 14*2=28

6 0
3 years ago
Solve the system of equations using the addition method.
stepladder [879]

Answer:

A) 5x - 2y = 12

B) 3x + 2y = 36  Adding both equations eliminates "y"

8x = 48

x = 6   Putting x=6 into equation B we get

3*6 + 2y = 36

2y = 18

y = 9

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
ms jones has 754 cookies she wants to give to 5 teachers at thre school. how many cookies does each friend get?
frutty [35]

Answer:

about 150

just divide dude

6 0
3 years ago
Read 2 more answers
The inverse of f(x)= x2 is also a function
Margaret [11]
<h2>Answer:</h2><h3>False</h3><h2>Step-by-step explanation:</h2>

The inverse is not a function because this function is not one-to-one, that is, a function f has an inverse function if and only if there is no any horizontal  line that intersects the graph of f at more than one point, this is called the Horizontal Line Test for Inverse Functions. Thus, if you take an horizontal line it will pass through two points as indicated in the figure below. In conclusion, this function hasn't an inverse function.

3 0
3 years ago
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