geno3141

Create a table for the function  y  =  x² + 7x + y     for y values from -7 to 0.

This seems to be a strange question because:  y  =  x² + 7x + y 

                          subtracting y from both sides:  0  =  x² + 7x

and the y-term disappears!

So, solving for x:                                                0  =  x(x + 7)

      this means that either  x = 0  or  x = -7.

Thus, for every y-value, x has two possible values, either 0 or -7.

To change 14 fluid ounces per minute into gallons per hour:

Since there are 128 fluid ounces in one gallon, we need to divide 14 by 128 to change ounces into gallons.

Since there are 60 minutes per hour, we need to multiply 14 by 60 to change per minute into per hour.

Combining these:  14 fl oz / min x (1 gal / 128 fl oz) x (60 min / hr)  =  6.5625 gal per hour.

Written as a mixed fraction:  6 9/16 gal per hour.

If 10% of the trucks are defective, you would expect 1 of the 10 trucks to be defective.

x/y  =  5/7          y/z  =  3/4          What is the value of  (x + y)/z

Since  (x + y)/z  =  x/z + y/z  and we know the value of  y/z  we need to find the value of x/z.

Starting with  x/y  =  5/7     

                      7x  =  5y      (cross multiplying)

                        y  =  7x/5   (dividing)

Substituting into  y/z  =  3/4

                    (7x/5)/z  =  3/4

                       7x/5z  =  3/4

                  (7/5)(x/z)  =  3/4

                           x/z  =  (3/4)(5/7)

                          x/z  =  15/28

Therefore  x/z  +  y/z  =  15/28  +  3/4

                 x/z  +  y/z  =  15/28  +  21/28

                 x/z  +  y/z  =  36/28

Thus::  (x + y)/z  =  x/z + y/z  =  36/28  =  18/14  =  9/7

The definitions:

0 OR 0  =  0          0 AND 0  =  0          0 XOR 0  =  0

0 OR 1  =  1          0 AND 1  =  0          0 XOR 1  =  1

1 OR 0  =  1          1 AND 0  =  0          1 XOR  0  =  1

1 OR 1  =  1          1 AND 1  =  1          1 XOR 1  =  0

To calculate the answer, combine the bit of one string with the corresponding bit of the other strip using the above definitions.

If I understand your question correctly:  (adding 0s to front of (a) to make both strings the same length)

     bitwise  (a) OR (b)     00 0000 0000 00 0000 0000 00 0111 0001

                                       11 1111  1111  10 0100 1000 00 0000 0000

                                       -------------------------------------------------------

                                       11 1111  1111  10 0100 1000 00 0111 0001

   bitwise  (a) AND (b)     00 0000 0000 00 0000 0000 00 0111 0001

                                       11 1111  1111  10 0100 1000 00 0000 0000

                                       -------------------------------------------------------

                                       00 0000 0000 00 0000 0000 00 0000 0000

   bitwise  (a) XOR (b)    00 0000 0000 00 0000 0000 00 0111 0001

                                       11 1111  1111 10 0100 1000 00 0000 0000

                                       -------------------------------------------------------

                                       11 1111  1111 10 0100 1000 00 0111 0001

If the 0s are to be attached to the end of (a), then repost the question.

10¹  =  10

10²  =  100

10³  =  1000

...

Thus, the first 10 digits of  10^12!  =  1 000 000 000  ...

0.47  +  0.2    =    0.47  +  0.20    =    0.67

There are two square roots of 4:  2  and  -2.

The positive square root is called the "principal root".

The square root sign is defined to mean the principal root; thus, sqrt(4) = 2, not -2.

(3m)^-2  =  (3)^-2·(m^-2)  =  (1/9)(1/m²)  =  1/(9m²)

So, if you put parentheses around the '9m²', your answer is correct; if you don't use the parentheses, your answer is incorrect.

Each of the lines, blue, red, and yellow, has the same highest point.

Since blue has the lowest point, it has to rise the farthest; thus, the blue line is the steepest.