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Minchanka [31]
3 years ago
14

Lnx=-3

Mathematics
1 answer:
scZoUnD [109]3 years ago
3 0

Answer:

because It's rounded to the nearest hundred place

Step-by-step explanation:

Given equation:

  • \ln(x )  =  - 3

recall that,

\ln(a )  =  b \iff  {e}^{b}  = a

remember, <em>In </em>is natural logarithm which is actually nothing but common logarithm with the base euler's number (<em>e)</em><em> </em>. anyway rewriting lnx=-3 yields:

\ln( x )  =   - 3\\  \iff  {e}^{ - 3}   =  \frac{1}{ {e}^{3} }

1/e³ is approximately 0.0497870684..... , rounding it to the nearest hundred place would be 0.05 which is the same answer as your textbook .

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-1/3x-1/6=2/9 solution
Grace [21]

Answer:

-1  1/6

Step-by-step explanation:

Use a common denominator first to convert all the fractions so they can be easily added or subtracted.

Common denominator is 18 since 3, 6, and 9 can all evenly divide into 18

1/3 = 6/18

1/6 = 3/18

2/9 = 4/18

So now you have

-6/18x - 3/18 = 4/18

add 6/18x to both sides so you can make the number with the variable positive

6/18x - 6/18x - 3/18 = 4/18 + 6/18x simplifies to - 3/18 = 4/18 + 6/18x

subtract 4/18 from both sides

- 3/18 - 4/18 = 4/18 - 4/18 + 6/18x simplifies to - 7/18 = 6/18x

Divide both sides by 6/18 so x is alone on the one side

( - 7/18) / ( 6/18) = ( 6/18x) / ( 6/18)  simplifies to ( - 7/18) / ( 6/18) = x

When you divide a fraction by a fraction, the bottom fraction gets flipped over then you multiply the two new fractions straight across

so the new equation looks like this

- 7/18 times 18/6 and you multiply -7 x 18 = -126 and the bottom is 18 times 6 = 108    you now have  -126/108

x = -126/108  which simplifies to - 1  18/108  which can still be simplified more to -1  1 / 6   since 108 can be divided by 18 that gives you 6.

4 0
3 years ago
I’m confused on this one
masha68 [24]

If Y is an external point and XY and YZ are tangent to the circle, then by definition, XY = YZ.

Then, we just plug in the values to get:

2x + 8 = 8x - 16

Combine like terms to get:

6x = 24.

Divide 6 from both sides, and you get: x = 4 units.

6 0
4 years ago
Please help! I forgot how to do it
Stels [109]
3*2 probably I’m sorry if it’s wrong
5 0
3 years ago
A taxicab starts at (1, −2) on the grid. It goes 4 blocks south and 3 blocks east to pick up a passenger. Then it goes 6 blocks
Dmitry_Shevchenko [17]

1, -2

1, -6

4, -6

-2, -6

-2, -1

The cab is 4 blocks away from its starting point.

(I think)

5 0
4 years ago
Simplify the algebraic expression:<br><br> 5 + 3(2y - 4) - 11y
Iteru [2.4K]

5 + 6  − 1 2 − 1 1  -11y 5+6y−12−11y − 7 + 6  − 1 1  

− 7 + 6  − 1 1   −7+6y−11y − 7 − 5  

− 7 − 5  −7−5y − 5  − 7

Solution: −5y−7

3 0
3 years ago
Read 2 more answers
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