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Naily [24]
2 years ago
13

How many different plates can be made with 2 vowels and a digit?

Mathematics
1 answer:
TiliK225 [7]2 years ago
6 0
<h3>Answer:  750</h3>

============================================================

Explanation:

If repeats are allowed, then we have 5 vowels (a,e,i,o,u) for the first vowel slot, and 5 choices for the second vowel slot. We also have 10 choices for the numeric digit (0 through 9).

There are 5*5*10 = 250 ways to make a selection of the form LLN where L stands for "letter" (specifically a vowel) and N stands for "number". An example plate could be AE2.

There are also 250 ways to make a selection of the form LNL and 250 ways to select something of the form NLL.

That means there are 3*250 = 750 ways to make a license plate with two vowels and a digit where repeats are allowed.

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Please help with math (30 points)
ikadub [295]

Here we have some problems about circles, the solutions are:

  • a) 490.6 yd^2
  • b) x = 15
  • c) x = 27

<h3>How to find the area of a circle?</h3>

We know that for a circle of diameter D, the area is given by:

A = pi*(D/2)^2

where pi = 3.14

In the image we can see that the diameter of the circle is 25 yd, replacing that in the area equation we get:

A = 3.14*(25yd/2)^2 = 490.6 yd^2

<h3>How to find the value of x?</h3>

<u>For the second image</u>, each line creates two 180° angles. So, if we look at the tilted line, we can see that it is divided in two angles, one of 37° and the other that depends of x, so we can write:

180° = 37° + (9x + 8)°

180° - 37° - 8°  = (9x)°

135°/9° = x = 15

So the value of x is 15.

For the last image:

Notice that we have a 90° angle denoted, then <u>the other 3 sections must add up to 270°.</u>

270° = 54° + (2x + 21)° + (5x + 6)°

Now we solve this for x:

270 - 54 - 21 - 6 = 2x + 5x

189 = 7x

189/7 = x = 27

x is equal to 27

If you want to learn more about circles, you can read:

brainly.com/question/25306774

8 0
2 years ago
Sevastion's friend gives him 4 special baseball cards to start his own collection . Sebastian then buys 6 new baseball cards for
Sonbull [250]

Answer:

F(x) = 6x + 5.

Step-by-step explanation:

Given that :

Number of cards Given to Sébastian = 4

Number of baseball cards purchased every month = 6 cards

Number of months = x

Linear function f(x) which shows the number of cards after a number of months:

(Number of cards produced per month * Number of months) + number of card `

F(x) = 6x + 5

3 0
4 years ago
HELP ME ASAP NO FILES OR WILL REPORT!!!<br> And help me BEFORE 3PM PLEASEEEE
Illusion [34]

Answer:

1) 18a^11

2) 7b^5

3) 16c^12

4) 3/2d^2

Step-by-step explanation:

i hope this helped

5 0
3 years ago
If you start at vertex A and use the "shortest route" algorithm, what would be the second path to
MAVERICK [17]

Answer:

Shortest distance=|AC|/\sqrt[2]{2}.

Kindly find the attached for the figure

Step-by-step explanation:

This problem can be addressed using right-angled,

Let have right angle triangle with the shortest distance=hypotenuse;

hypotenuse=|AC|

using pythagoras theorem, we have

|AC|^2=|AB|^2+|BC|^2

Let |AB|=|BC|

|AC|^2=2|AB|^2

|AB|=|AC|/\sqrt[2]{2}

Shortest distance=|AC|/\sqrt[2]{2}

7 0
3 years ago
Which expression is equivalent to
Tresset [83]

Answer:

j^13

Step-by-step explanation:

j j j j j j j j j j j j j j

There are 13 j's so we raise j to the 13 power

j^13

5 0
3 years ago
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