Answer:
Option d) bracelets over week
Step-by-step explanation:
We are given the following in the question:
s(t): This function represents the number of bracelets made per hour.
W(h): This function represent the hours per week Margaret spends making bracelets.
We have to find the units of measurement for the composite function s(W(h))
s(W(h))
s(hours per week)
(bracelets per hour(hours per week))\
bracelets per week
Thus, the composite function s(W(h)) tells us about the number of bracelets made by Margaret over week.
Option d) bracelets over week
60 seconds per minute
2 x 60 = 120 parts per minute
60 minutes per hour
120*60 = 7200 parts per hour
7200 x 10 hours = 72,000 parts per 10 hour shift
If you mean 7.5% its 560
if you mean 75% its 56
We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9))
Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>
Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>
<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>
Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2
<span>sqrt(y+9) = (2x + 2) / 2sqrt(2)
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>
y = ((2x+2)^2) / 8 - 9