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finlep [7]
3 years ago
13

Which is equivalent to -4 sqrt of 9 1/2x

Mathematics
1 answer:
Alja [10]3 years ago
3 0
To solve this problem you can apply the proccedure shown below:
 1. You have the fexpression given in the problem above, which you can rewrite it as following:
 -4√(9/2x)
 2. You can find an equivalent expression:
 -4√(3²/2x)
 (-4)(3)√(1/2x)
 -12/√2x
 3- If you multiply the numerator and the denominator by √2, you obtain:
 (-12√2)/[(√2)²√x]
 (-12√2)/(2√x)
 (-6√2)/(√x)
 Therefore, the answer is:-(-6√2)/(√x)
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A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
Somebody please help im giving 20 points and a brainliest !
rosijanka [135]

Answer:

Initial is $26000

It's representing decay.

9.1% change each year.

7 0
3 years ago
Find the ratio a:b-<br><br> 1) 2a=9b<br> 2) a+b=3b<br><br> please explain your work
Alex777 [14]

1) 2a = 9b    ⇒ 2:9

2) a + b = 3b   ⇒   a = 2b   ⇒   1:2

Answers: 2:9  and  1:2

6 0
3 years ago
-114=-5x-2(4x+18)<br> ????????
SVETLANKA909090 [29]

Primeiro multiplica o -2 com tudo que tem dentro do parenteses (chuveirinho)  -114 = -5x -2(4x+18)

-2 . 4x = -8x        +     -2 . 18 = -36        =   -8x-36


Agora soma os números com incógnitas (no caso x)

-114 = - 5x - 8x -36    


Joga a incógnita do outro, tornando positiva

-114 = -13x - 36            

13x -114 = -36


e o 114 do outro lado, ficando positiva também  

13x -114 = -36

13x  = - 36 + 114

13x = 78

x = 78 /13

x= 6


ESPERO TER AJUDADO :)


8 0
3 years ago
If u do 3 I’ll mark Brainlynest u don’t have to do 3 it depends but also 14 points
Helen [10]

Answer:

Step-by-step explanation:

A(-5,-2),B(-2,-2), C(-5,2)

find distance first:d=√(x2-x1)^2+(y^2-y1^2)

AB: 3

BC: 5

AC: 4

perimeter of triangle=3+5+4=12

compliment angle=90

90+34=124

5x+17+x+19=180

x=24

4 0
3 years ago
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