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Artist 52 [7]
3 years ago
9

Determine the value of x. Write the answer in an inequity. Use x only once in the inequality

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0

Answer:  1 < x < 25

<u>Step-by-step explanation:</u>

The sum of two sides must be GREATER than the third side.

      a +  b > c              a + c > b              b + c > a

     12 + 13 > x             12 + x > 13            13 + x > 12

          25  > x                     x > 1                      x > -1

           x < 25                     1 < x

Length cannot be negative so disregard x > -1

We are left with   1 < x  and   x < 25  

                                 1 < x < 25

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Part 1. Please show work. Please assist me with these math problems. ​
Vitek1552 [10]

Answer: 1) 2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784

              2) 2,490,924

              3) Neither

<u>Step-by-step explanation:</u>

S_n=S_{n-2}\cdot (S_{n-1}-1)\quad \\\\S_1=2\quad given\\S_2=3\quad given\\S_3=S_1(S_2-1)\quad =2(3-1)\quad =4\\S_4=S_2(S_3-1)\quad =3(4-1)\quad =9\\S_5=S_3(S_4-1)\quad =4(9-1)\quad =32\\S_6=S_4(S_5-1)\quad =9(32-1)\quad =279\\S_7=S_5(S_6-1)\quad =32(279-1)\quad =8,896\\S_8=S_6(S_7-1)\quad =279(8896-1)\quad =2,481,705\\S_9=S_7(S_8-1)\quad =8896(2481705-1)\quad =22,077,238,784

\sum^8_{k=1}S_k\\\\=S_1+S_2+S_3+S_4+S_5+S_6+S_7+S_8\\\\= 2,490,924\\

Neither

Not arithmetic because the difference between each of the terms is not the same.            

                        S₂ - S₁          S₃ - S₂           S₄ - S₃      

                      3 - 2 = 1       4 - 3 = 1          9 - 4 = 5

Not geometric because the ratios between each of the terms is not the same.                

                       \dfrac{S_2}{S_1}=\dfrac{S_3}{S_2}\qquad \rightarrow \dfrac{3}{2}=\dfrac{4}{3}\qquad \rightarrow \text{cross multiply to get}: 9\neq 8

8 0
3 years ago
The probability that the card drawn from a standard 52-card deck is queen is​
Fed [463]

There are 4 queens in a deck of cards.

You have 4 chances out of 52 total cards to get a queen.

The probability is 4 queens / 52 cards = 4/52, which can be reduced to 1/13

6 0
3 years ago
Use the lim f(x)-f(a)/x-a to find the derivative.
Tresset [83]
Hello,

f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)

lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11

Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11



at point(1,-7)

4 0
3 years ago
Paula has 54 stickers and 36 pencils that she wants to put in bags. All the bags will have an equal number of stickers and an eq
m_a_m_a [10]

Answer:

18 bags

Step-by-step explanation:

We need to find the greatest common factor

Break each number into its prime components

54 = 9*6 = 3*3*3*2

36 = 6*6 = 3*2*3*3

Find the common terms

3*3*2

18

The greatest common factor is 18

She can make 18 bags

It will contain  3 stickers and 2 pencils

3 0
3 years ago
Read 2 more answers
SOMEONE PLEASEE HELP ME WITH THIS!!! I NEED TO GET DONE
klasskru [66]

Answer:

B. 1

Step-by-step explanation:

-   \frac{1}{2} (10) + 6 =  - 5 + 6 = 1

6 0
2 years ago
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