<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>
Answer:
72
Step-by-step explanation:
<u>Given:</u>
There were 120 people in total.
60% were parents.
<u>To find:</u>
Number of parents attended.
Solution:
1. 60% of 120
It can also be written as:
Simplify
- Divide by common factor (2)
2. 
Multiply
Divide
Therefore, 72 parents attended the game.
Answer:
The answer is 1296
Step-by-step explanation:
Answer:
g(-3) = 1
Step-by-step explanation:
We use the top piece of the function since x = -3
g(-3) = x+4 and x = -3
g(-3) = -3 +4 = 1
Answer:
Kindly check explanation
Step-by-step explanation:
The prevalence per 1000 among the exposed :
Total number of diseases among those exposed = 60 + 238 = 298
Prevalence per 1000 among the exposed :
(298 / 9000) * 1000 = 33.11
Prevalence per 1000 among the non exposed :
((90 - 60) + (268 - 238)) / 3000
(60 / 3000) * 1000 = 20
Incidence rate per 1000 among the exposed :
238 / 5940 * 1000
0.0400673 * 1000 = 40.07
Incidence rate per 1000 among the unexposed :
((90 - 30) / (3000-30)) * 1000
(60/2970) * 1000 = 20.2
