the second duckling is wandering by 2.6 units distance than the first duckling .
<u>Step-by-step explanation:</u>
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
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⇒ 
⇒ 
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⇒ 
Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
If during a given month your average daily credit card balance is $800 and your yearly interest rate is 17%, then the interest you owe on your credit card for that month would be: $11.33
Answer:

Step-by-step explanation:
Because of the power of a power property, which states that
, where m and n are real numbers, the expression you mentioned can be simplified by applying this property like this: 
Answer: $700
explanation: they lost 175 EACH DAY
so 175 x 3 = 525
add another 175 for the fourth day
525 +175 = 700
They lost a total of $700 on the fourth day.