Question:
Which is equivalent to after it has been simplified completely?
Answer:
Step-by-step explanation:
Given
Required
Simplify
We start by splitting the square root
Replace 180 with 36 * 5
Further split the square roots
Replace power of x; 11 with 10 + 1
From laws of indices;
So, we have
Further split the square roots
From laws of indices;
So, we have
Rearrange Expression
From laws of indices;
So, we have
<em>The expression can no longer be simplified</em>
Hence, is equivalent to
The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
<h3>Define the term permutation?</h3>
- The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
- The arrangement's order is essential when using permutations.
For the stated data;
Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.
There are total 9 digits (0 - 9).
There are total 26 letter (A - Z)
Repetitions of letters and numbers given allowed.
Thus, numbers and the letters ca be arranged as;
1st place = 9 ways.
2nd place = 9 ways.
3nd place = 9 ways.
4th place = 26 ways.
6th place = 26 ways.
7th place = 9 ways.
8th place = 9 ways.
Total ways = 9×9×9×26×26×9×9
Total ways = 39917124
Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
To know more about the permutation, here
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Answer:
Step-by-step explanation:
y+1 =(3/4)x+9/4
y=(3/4)x+1/4
<h3>4 times a number increased by 3.</h3>
When we have a number that appears
right before a variable, it means multiplication.
So 4n means the same thing as 4 times a number.
Remember, n is a variable which is just a
letter that represents any number.
Since we are adding 3 to 4n, we can say
4 times a number increased by 3.
So 4n + 3 can be written as 4 times a number increased by 3.