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You can enter the expression just as it is:  -0.518 - 184ln(1 - 0.2)

If you want to simplify it, simplify what's inside the parentheses first:   -0.518 - 184ln(0.8)

You then get an answer that rounds to 41.

When you had 3x + 3 - 2x² - 2x  =  6x - 9

   --->             - 2x² + x + 3  =  6x - 9

   --->                   - 2x² - 5x  + 12  =  0

it should be  -5x, not -7x ... 

Good Question!! hard one/stumper

Change 1% into a decimal:  15%  = 0.15

30 + ( 0.825 x 30 ) + 0.15 x 30 =

Enter this into a calculator ...

There are 60 minutes in a degree and 60 seconds in every minute.

If you take 0.3185 x 60  =  19.11 minutes  --->  19 minutes

.11 minutes x 60  =  6.6 seconds

0.3185  =  19 minutes and 6.6 seconds

For the top equation:  there is: (√2 - 1) / (√2 - 1)   --->  but this equals 1. So any finite exponent of 1 will work.

For the second equation:

2^(x - 2) - 4^x + 8^x  =  0

--->  2^(x - 2) - (2^2)^x + (2^3)^x  =  0

--->  2^(x - 2) - 2^(2x) + 2^(3x)  =  0     --->  x = -1     (I solved it by graphing; but it checks fairly easily.)

Glue does infact stick to the inside of the bottle it just does not get stuck because there is no air to get in it.

Write 19% as a decimal and interpret "of" as "times":

19% of 75  =  0.19 x 75  =  14.25

You can use these:

A ≥ 5000

C ≥ 195

D ≥ 700

x  =  3000A + 45C + 75D

y  =  1000A + 50C + 200D

However, the direct combination of these equations/inequalities won't give you the answer that you want.

The number of type x pills necessary:

   For vitamin A, you would need to take at least 2 type x pills (5000÷3000 = 1.67 --> 2 pills)

   For vitamin C, 195 ÷ 45  =  4.33 ---> 5 pills. 

   For vitamin D, 700 ÷ 75  =  9.33 ---> 10 pills.

You can make a similar analysis for type y pills.

Then, there is the possibility that you can take a combination of x and y pills.

This can get quite complicated.

5.865696e13 is equal to this:

58,656,960,000,000 <-- you just move the decimal over to the right 13 times.

good job. You r correct!👊😜

x - 14 ≤ 23

x - 14 + 14 ≤ 23 + 14

x ≤ 37

x is less than or equal to 37.

I believe its 5.98 x 10^3

-5k - 4k = k - 10

-9k = k - 10

-9k - k = k - k - 10

-10k = -10

k = 1

$${\frac{{\mathtt{b}}}{{\mathtt{13}}}} = {\mathtt{31}}$$

multiply 13 on both sides...

$${\mathtt{b}} = {\mathtt{13}}{\mathtt{\,\times\,}}{\mathtt{31}}$$

simplify....

b = 403

Let  J  represent the number of tickets in Japan.

Let  S  represent the number of tickets in Switzerland.

I'm going to modify the $79.663 to $79.63:

3J + 2S  =  79.63    --->     3J + 2S  =  79.63   (multiply by 2)  --->   6J + 4S  =    159.26

3S + 2J  =  75.57     --->     2J + 3S  =  75.57    (multiply by -3) -->  -6J  - 9S  =  -226.71  

                                                       Add down the columns:                    -5S  =  -67.45

                                                                                                                S  =  $13.49

When  S = 13.49 --->   3J + 2(13.49)  =  79.63   --->  3J + 26.98  =  79.63   --->  J  =  $17.55

7 + x - 6x = -33

7 - 5x = -33

-5x = -33 - 7

-5x = -40

x = 8

2 + 2 = 4 :D

(im so smart these days) lol.

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