Answer:
x > 10
Step-by-step explanation:
5x - 24 > 26
Add 24 on both sides.
5x -24 + 24 > 26 + 24
5x > 50
Divide by 5 on both sides.
x > 50 ÷ 5
Find x.
x > 10
Answer:
A. Store A
Step-by-step explanation:
The median is shown by the very middle line of the box. The middle-most line on the box of store A is greater than that of Store B
Answer:
B. The absolute value parent function
Step-by-step explanation:
Referred to as absolute value, the value inside the bars is measured in terms of its distance from 0. Therefore:
In essence, a negative value within the bars becomes positive, while a positive value remains positive.
Answer:
The relator recived $8,186.4
Step-by-step explanation:
What you have to do is find the 60% of the commission. Commission is 4% of $341,100 (100%)
First do a cross multiplication to find 4% of $341,100
100% ___ $341,100
4%______x:
So, the 4% of $341,100 is $13,466
Now you have to find the 60% of $13,466
100% ___ $13,466
60%______x:
The answer is: $8,186.4
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).
