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Tamiku [17]
3 years ago
9

Q # 1 simplify the expression

Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0
<u>Answer</u>

95,040

<u>Explanation</u>
The interpretation of this expression is; the number of permutation of 5 objects out of 12.

12P5 = 12!/(12-5)!

         =12!/7!
         =(12×11×10×9×8×7×6×5×4×3×2×1)/(7×6×5×4×3×2×1)

         =12×11×10×9×8
         =95,040

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Simplify. Remove all perfect squares from inside the square root. 12 = 12 ​
Elena L [17]

Answer:

Removing the perfect square 4 in 12 we get 2√3

Step-by-step explanation:

The square root of 12 is

√12 = √(4 x 3)

√12  = 2√3.

There's no special trick here, but it's usually easy to check whether a small number is divisible by 4. Keep this in mind when looking for factors.

Removing the perfect square 4 in  the square root of 12 we get 2√3.

Here 4 is a perfect square it can be written as

√4 =√2^2

√4 =2

4 0
3 years ago
a prop for a school musical is cut from a sheet of cardboard. the shape is shown in the picture, what is the area of the shape?
Ulleksa [173]

Answer:

32

Step-by-step explanation:

<u>area of rectangle:</u> 6*4=24

<u>area of top triangle:</u> 4*2=8

24+8=32 total area

8 0
3 years ago
What is the range of the following function, if the domain is {1,3,12}?<br> f(x) = x - 3
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I think this is the answer ( −∞,∞)
8 0
2 years ago
Please help if you know anything about triangles!!
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Step-by-step explanation:

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7 0
3 years ago
1. What is the solution of n² – 49 = 0? (1 point)
maks197457 [2]

Answer:

1. n=\pm7

2. x=\pm7i[tex]3.[tex]\pm 12x =a

4. 22

Step-by-step explanation:

1. n^2 - 49 = 0

n^2 =49

n= \sqrt{49}

n=\pm7

2. x^2+64 = 0

x^2 =-64

x= \sqrt{49}

x=\pm7i[tex]3. Area of square = [tex]a^{2}

Where a is the side

We are given an area o square = 144x^{2}

So, 144x^{2}=a^{2}

\sqrt{144x^{2}}=a

\pm 12x =a

4. We are given that the solution of quadratic equation -9 and 9

So, equation becomes:

(x+9)(x-9)=0

x^2- 81=0

So, in the given equation x^2 + z = 103

z should be the number from which if we subtract 103 so we get 81

Substitute z = 22

x^2 + 22 = 103

x^2 + 22 -103=0

x^2 -81=0

Thus the value of z is 22

8 0
3 years ago
Read 2 more answers
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