Answer:
1 song is a slow song, 2 songs are not
Step-by-step explanation:
that would give you 1/3 probability = 33.3333333333333%
Answer:
1. x=2
2. x=5
3.x=10
Step-by-step explanation:
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
S = 2*(1/2 * 7 * 14) + 2* (1/2 * 7 * 7) = 7*14 + 7*7 = 7*(14+7) = 7*21 = 147 sm^2
Number B
Answer:
22.34 
Step-by-step explanation:
The area of a circle:
A = π
The problem gives the diameter of a circle, which is equal to 2*r.
If 5 1/3 = 2*r, then the radius is (16/3)/2 = 8/3.
Plugging this into the area equation,
A = π*
A = 
or approximately 22.34
