Answer:
A=384 
Step-by-step explanation:
A =2(wl+hl+hw)
A=2(8*8+8*8+8*8)
A=2(64+64+64)
A=2(192)
A=384
Answer:
8. Arithmetic Progression
9. 
Step-by-step explanation:
Given

Solving (8): Arithmetic or Geometric
We start by checking if it is arithmetic by checking for common difference (d).

This gives:



<em>Because the common difference is equal, then it is an arithmetic progression</em>
<em></em>
Solving (8):

To find f(9), we substitute 9 for n


We need to solve for f(8); substitute 8 for n


We need to solve for f(7); substitute 7 for n


We need to solve for f(6); substitute 6 for n


We need to solve for f(5); substitute 6 for n


From the function, f(4) = 25 and f(1) = 55.
So:














It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.
Let <em>θ</em> be the angle between the force vector <em>F</em> and the displacement vector <em>r</em>. The work <em>W</em> done by <em>F</em> in the direction of <em>r</em> is
<em>W</em> = <em>F</em> • <em>r</em> cos(<em>θ</em>)
The cosine of the angle between the vectors can be obtained from the dot product identity,
<em>a</em> • <em>b</em> = ||<em>a</em>|| ||<em>b</em>|| cos(<em>θ</em>) ==> cos(<em>θ</em>) = (<em>a</em> • <em>b</em>) / (||<em>a</em>|| ||<em>b</em>||)
so that
<em>W</em> = (<em>F</em> • <em>r</em>)² / (||<em>F</em>|| ||<em>r</em>||)
For instance, if <em>F</em> = 3<em>i</em> + <em>j</em> + <em>k</em> and <em>r</em> = 7<em>i</em> - 7<em>j</em> - <em>k</em> (which is my closest guess to the given vectors' components), then the work done by <em>F</em> along <em>r</em> is
<em>W</em> = ((3<em>i</em> + <em>j</em> + <em>k</em>) • (7<em>i</em> - 7<em>j</em> - <em>k</em>))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))
==> <em>W</em> ≈ 5.12 J
(assuming <em>F</em> and <em>r</em> are measured in Newtons (N) and meters (m), respectively).
Answer:
A: 22
Step-by-step explanation:
2The interquartile range begins at 45 and ends at 67. All you need to do is subtract 45 drom 67, and you get 22.
We have been given two functions
and
. We are asked to find
.
We will use composite function property
to solve our given problem.
Now we will combine like terms as:


Therefore, the value of
would be
.