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 :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
Keywords:
<em>equation, variable, clear, round, centesima, neperian logarithm, exponential
</em>
For this case we have the following equation
, from which we must clear the value of the variable "x" and round to the nearest hundredth. To do this, we must apply properties of neperian and exponential logarithms. By definition:

So:
We apply Neperian logarithm to both sides:

We divide between "3" both sides of the equation:

Rounding out the nearest hundredth we have:

Answer:

<span>A simple event is an event where all possible outcomes are equally likely to occur. ...A set of all possible outcomes of an event is called sample space, usually represented as 'S' with curly braces { }. ...<span>This is called Experimental Probability – probability derived from a series of trials, or experiments.</span></span>
Answer:
MRS is the demand side of equation while MRT is for the supply side.
MRS defines how much a consumer is willing to give up of good X for 1 additional unit of good Y to stay on the same utility level. It is shown by indifference curve. MRS = Price of X/ Price of Y
Similarly, MRT is how much a supplier is willing to give up producing good X for 1 additional unit of good Y. It is shown by Production Possibility Frontier. MRT = MC of X/ MC of Y
99 is the biggest 2 digit number correct? So 1000 more than that is 99 + 1000 = 1099