<span> we know the length of the cable is 9m.
That means the magnitude of </span><span><span>r<span><span><span>AB</span></span><span></span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span><span>AB</span></span><span></span></span></span><span> divided by the magnitude.
</span>u=<span>(<span><span>x/9</span><span></span></span>i−<span>y/9<span></span></span>j−<span>z/9<span></span></span>k<span>)
</span></span><span>We can also figure out the unit vector of F.
</span>u=(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.
Therefore
</span>(x/9i−y/9j−z/9k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m
The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
We know that
if <span>Allison can complete a sales route by herself in 6 hours
then
100% of the sales route---------------> 6 hours
x%--------------------------> 1 hour
x=100/6-----> x=16.67%/hour
Allison </span><span>working with an associate, she completes the route in 4 hours
</span>then
100%------------------> 4 hours
x%----------------> 1 hour
x=100/4-----> x=25%
An associate in 1 hour complete-------> 25%-16.67%----> 8.33%
then
an associate complete in 1 hour--------> 8.33%
x hour--------------------------> 100%
x=100/8.33-----> x=12 hours
the answer is
12 hours
Answer/explanation :
Step-by-step
subtract 15-8 you have 7 then take
10- ur answer is 7
10-7= 3
Here, x-coordinate = 2
y - coordinate = 3
It would be: 2x + 3y ≥ 6
In short, Your Answer would be Option C
Hope this helps!
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
(left to right)
4²-(3.1+6.4)+4.5
According to PEMDAS, we will do what is inside the parenthesis.
3.1+6.4 = 9.5
<em>4²-9.5+4.5</em>
Then we do figure out the exponent.
4² = (4)(4) = 16
<em>16-9.5+4.5</em>
Then we do subtraction then addition because PEMDAS also tells us we should do adding and subtracting from left to right. In this expression, subtracting is on the left side so we should do that first.
16-9.5 = 6.5
<em>6.5 + 4.5 = 11</em>
11 is your answer :)
