Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
Answer:
$362.25
Step-by-step explanation:
Profit made per product :
Soft pretzel = $5.25 - $3.50 = $1.75
Candied apple = $3.50 - $1.75 = $1.75
For every 2 candied apple sold, 7 soft pretzel is sold :
If 161 sold pretzel is sold, the number of candied apple sold will be :
(161 / 7) * 2
23 *. 2 = 46 candied apple was sold
Profit made on product sold :
Soft pretzel = $1.75 * 161 = $281.75
Candied apple = $1.75 * 46 = $80.5
$(80.5 + 281.75) = $362.25
Answer:
1. 4 gal= 16 qt.
2. 6 qt= 12 pt.
3. 11 pt= 176 fl oz.
4. 18 c= 144 fl oz.
5. 48 qt= 12 gal.
6. 17 gal= 136 pt.
7. 19 qt= 76 c.
8. 256 c= 16 gal.
9. 12 gal= 96 pt.
10. 28 c= 14 pt.
11. 17 c= 136 fl oz.
12. 128 fl oz= 16 c.
13. 8 gal= 32 qt.
14. 20 qt= 640 fl oz.
15. 4 qt= 8 pt.
16. 18 qt= 72 c.
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The coordinates of your position are <u>(</u><u>6</u><u>,</u><u> </u><u>0</u><u>,</u><u> </u><u>-4</u><u>)</u>.