To answer this question, use permutation since the order of the letter matters. There are 7 letters and only 4 are to be used for the code. This is a permutation of 7 taken 4 (7P4) which is equal to 840. Thus, the sample space is 840.
For the next questions, there are 3 vowels for as the first letter, only 6 letters are available for the second, 5 on the next, and 4 on the last. Multiplying these numbers give 360. To solve for probability, divide this number with the sample space. Thus, the answer is 3/7.
Answer:
xowowo2o2oeoddoxxocckckcll
we know that
The scalar magnitude of the velocity vector is the speed. The speed is equal to

in this problem we have

substitute in the formula


therefore
<u>the answer Part a) is</u>
the speed is equal to 
<u>Part b) </u>Find the velocity
we know that
<u>Velocity </u>is a vector quantity; both magnitude and direction are needed to define it
in this problem we have
the magnitude is equal to the speed


therefore
<u>the answer Part b) is</u>
the velocity is 
Part c)
we know that
the acceleration is equal to the formula

in this problem we have


substitute in the formula



therefore
<u>the answer Part c) is</u>
the acceleration is 
This is an example of negative acceleration
I am guessing the answer is both
x=-0.834252 or x=0.134252
Answer:
The other dimension of the pasture (width) is 
Step-by-step explanation:
In this problem I assume that the pasture has the shape of a rectangle.
Let
x -----> the length of the pasture
y -----> the width of the pasture
we know that
The area of the pasture (rectangle) is equal to

we have


substitute and solve for y


