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lisov135 [29]
3 years ago
11

If the nth term of a number sequence is n squared -5 find the first 3 terms and the 10th term

Mathematics
1 answer:
DanielleElmas [232]3 years ago
5 0

Answer:

If the nth term is n^-5,

Then the first term will be (1)^-5=1

Second term will be (2)^-5= 1/32

3rd term=(3)^-5 = 1/243

So, 10th term will be (10)^-5=1/100000

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Allisa [31]

Answer:

30

Step-by-step explanation:

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V = lbh ( l is length, b is breadth and h is height ), that is

V = 14 × 8 × 5 = 560 cm³

Now divide the volume of concrete available by the volume of 1 brick.

number of bricks made = \frac{16800}{560} = 30

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Out of a total of 3000 available parking spaces in a mall parking lot, 1875 are taken. What percent of the parking spaces are ta
Iteru [2.4K]

Answer:

62.5%

Step-by-step explanation:

1875 diveded by 3000 = 62.5

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Four students spoke to the Home and School parents for a total of 2/3 hour. Each student spoke for the same amount of time. How
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8 0
3 years ago
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Soloha48 [4]

Answer:

→x=√3

Step-by-step explanation:

tan^{-1} x+2cot^{-1} x=\frac{2\pi }{3} \\\\tan^{-1} x+2(\frac{\pi }{2}-tan^{-1} x)= \frac{2\pi }{3} \\\\-tan^{-1} x=\frac{2\pi }{3}-\pi \\\\-tan^{-1} x=-\frac{\pi }{3} \\\\tan^{-1} x=\frac{\pi }{3} \\\\x=tan\frac{\pi }{3} \\\\x=\sqrt{3}

3 0
2 years ago
Read 2 more answers
hus, D satisfying ​(ABC)DequalsI exists. Why does the expression for D found above also satisfy ​D(ABC)equalsI​, thereby showing
Assoli18 [71]

Complete Question

The complete question is shown on the first uploaded image

Answer:

First Question

Option A is correct

Second  Question

Option C is correct

Third   Question

     D =  A^{-1}  *  B^{-1} *  C^{-1}

Fourth   Question

  So substituting for D in  (ABC) D =  I

                 (ABC) *  A^{-1}  *  B^{-1} *  C^{-1} =  I

                 I =  I

This proof that  ABC is invertible

Step-by-step explanation:

From the question we are told that

   A , B and  C are invertible which means that A^{-1} , B^{-1}, C^{-1} exist

Now

 From the question

          (ABC) D =  I

Where I is an identity matrix

   Now when we multiply both sides by  A^{-1}  we have

          A^{-1}  A BCD =  A^{-1} * I

          IBCD =  A^{-1}

Now when we multiply both sides by  B^{-1}  we have  

         B^{-1 } *I BCD =  A^{-1}  *  B^{-1}

         I CD =  A^{-1}  *  B^{-1}

Now when we multiply both sides by  C^{-1}  we have  

          C^{-1} * I CD =  A^{-1}  *  B^{-1} *  C^{-1}

              I D =  A^{-1}  *  B^{-1} *  C^{-1}

                 D =  A^{-1}  *  B^{-1} *  C^{-1}

So substituting for D in the above equation

                 (ABC) *  A^{-1}  *  B^{-1} *  C^{-1} =  I

                 I =  I

This proof that  ABC is invertible

 

4 0
3 years ago
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