geno3141

6.4 - 2x - 6.63x  =  610.5

Combine the x-terms:

6.4 - 8.63x  =  610.5

Subtract 6.4 from both sides:

     - 8.63x  =  604.1

Divide both sides by -8.63:

       x  =  -71.66  (approximately)

0.00247

To the nearest 1:  0

To the nearest tenth:  0.0

To the nearest hundredth:  0.00

To the nearest thousandth:  0.002

To the nearest ten-thousandth:  0.0025

To the nearest hundred-thousandth:  0.00247

Discount rate:  you saved $6.00 off an original amount of $30.00

     --->     6/30  =  1/5  =  .2  =  .20  =  20%

Tax rate:  $1.32 / $24.00  =  0.055  =  5.5%

sin(x) + sin(x)·cot²(x)

= sin(x) + sin(x)·[cos²(x)/sin²(x)]        since cot(x) = cos(x) / sin(x)

= sin(x) + cos²(x)/sin(x)                     cancel out the sin(x) factor

= sin²(x)/sin(x) + cos²(x)/sin(x)          write both terms with the common denominator of sin(x)

= [ sin²(x) +  cos²(x) ] sin(x)              add, using the common denominator

=  1 / sin(x)                                      sin²(x) +  cos²(x)  =  1

= csc(x)

You can use the calculator at this site.

First, make certain that the calculator is in the correct mode; do you want your answer in radians or in degrees? (click the correct choice at the lower left).

Then press (2nd) and then (atan) to enter atan(1.16)

Is the question:  What did calculating that number tell him about his newspaper sales?

If so, calculating the average says that the average number of papers sold per day is 40.

If that isn't the question, what is the question that one is supposed to answer?

Do you mean that the base is 1/2?

If so, use the change-of-base formula to get:  

if you want to use common logs:  log (to the base 1/2) 9  =  log(9) / log(1/2)

if you want to use natural logs: log (to the base 1/2) 9  =  ln(9) / ln(1/2)

Generally speaking, use:  log(number) / log(base)     or     ln(number) / ln(base)

You'll get the same answer using either log or ln.

What is the question?

a  =  8^-2 x 2^7 

Since 8 ^ -2  =  1 / 8^2  =  1/64   and   2^7  =  128,   8^-2 x 2^7  =  128/64  =  2

b  = 4^-3  =  1 / 4^3  =  1/64

a/b  =  (2) / (1/64)  =  2 x (64/1)  =  128

So, a/b = 128,    or, as a ratio:  128/1 

-3n + 9 < 6n + 18

Add 3n to both sides:

         9 < 9n + 18

Subtract 18 from both sides:

        -9 < 9n

Divide both sides by 9:

        -1 < n     or     n > -1