geno3141

To enter a negative into this calculator, just use the minus key.

Is this the problem:  8 2/3  +  -9 1/6  ?

If so, you will need to subtract the  8 2/3  from  9 1/6  and make your answer negative.

To subtract  2/3  from  1/6  you will need to have a common denominator; since 3 goes into 6, turn them both into 6ths:    2/3  =  4/6

     9 1/6  -  8 2/3

     9 1/6  -  8 4/6

Since  4/6  is greater  than  1/6  rewrite the  9  as  8 + 1  and turn the  1  into  6/6:

     9 1/6   =   8 + 1 + 1/6   =   8 + 6/6 + 1/6   =   8 + 7/6   =   8 7/6

Now, the problem is:   8 7/6  -  8 4/6   =   3/6   =   1/2

But since there was more negative than positive, the answer is  - 1/2 

A boat travelling at a constant spedd traveling 2.5 miles in 20 minutes:

     Distance   =   rate x time

       2.5 mi    =   rate x 20 min     --->     rate  =  2.5mi / 20 min     =  0.125 miles per minute

If the boat travels a total of 10 miles:

     Distance   =   rate x time

     10 miles   =   0.125 mi/min x time     --->     time  =  10 mi ÷ 0.125 mi/min     =     80 minutes

300   =   π · r² · 0.0006

First, divide both sides by 0.0006

500 000  =  π · r²

Now, divide both sides by pi:

159 154   =   r²

Finally, take the square root of both sides:

r   =   398.9   ≈   400

I can't help you with the units because I don't know the units of  0.0006  (and I find it strange that the 300 is in km).

I believe that this problem is incomplete; were you giving the domain of x?

Finish the question and re-post.

Thanks.

The answer is approximately 316 227 . 766 001 026

√-1  =  i        = i^5        = i^9       = i^13       = ... 

-1     = i²       = i^6        = i^10     = i^14       = ... 

-i     =  i³       = i^7        = i^11     = i^15       = ...

 1    =i^4      = i^8        = i^12      = i^16       = ...

So if the exponent is positive, divide the exponent by 4:

if the remainder is 0, the value is  1

if the remainder is 1, the value is  i

if the remainder is 2, the value is  -1

if the remainder is 3, the value is  -i

For negative exponents:

i^-1  =  1/i x i/i   =   i/i²    =   i/-1   =   -i       =    i^-5     =   ...

i^-2   =   1/i²      =   1/-1   =   -1                  =   i^-6       =   ...

i^-3   =   i/i³       =   i/-i     =   i                     =   i^-7       =   ...

i^-4   =   1/i^4   =   i/1     =   1                     =   i^-8       =   ...

So if the exponent is negative, divide the exponent by 4:

if the remainder is 0, the value is  1

if the remainder is 1, the value is  -i

if the remainder is 2, the value is  -1

if the remainder is 3, the value is  i

If you are supposed to use the quadratic equation, you will need values for a, b, and c.

First, move the  49  to the left side by subtracting.

9x² = 49  then becomes 9x² - 49  =  0 

Since the problems is missing the x-term, create an x-term, writing it as 0x and place it between the  x²  term and the number.

Now you have 9x² + 0x - 49  = 0

In the quadratic formula,  a = 9    b = 0    c = -49

Usually, { } represents the empty set. The fact that it is empty means that there was no answer to put into it. Generally, it means that there was no answer.