Answer:
Option B.
Step-by-step explanation:
The given exponential equation is
...(1)
It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).
The graph passes through the point (-3,24), so substitute x=-3 and y=24 in equation (1).
...(2)
The graph passes through the point (-2,12), so substitute x=-2 and y=12 in equation (1).
...(3)
Divide equation (3) by equation (2).
Substitute b=0.5 in equation (2).
Substitute a=3 and b=0.5 in equation (1).
Therefore, the correct option is B.
Answer:
Step-by-step explanation:
Give the DE
dy/dx = 1-y
Using variable separable method
dy = (1-y)dx
dx = dy/(1-y)
Integrate both sides
∫dx = ∫dy/(1-y)
∫dy/(1-y)= ∫dx
-ln(1-y) = x+C
ln(1-y)^-1 = x+C
Apply e to both sides
e^ln(1-y)^-1 = e^,(x+C)
(1-y)^-1 = Ce^x
1/(1-y) = Ce^x
Answer:
A. x-6
Step-by-step explanation:
The area of a square is given by the expression 
square inches. Now we need to find an expression that represents the length of one side of the square, in inches. To do that we need to factor .
Since area of square is given by (side)^2
Hence one side of square is (x-6).
So choice A. x-6 is correct.
Just completed this question as of right now it’s was : “ a common ratio between 0 and 1
Answer:
D. 10
Step-by-step explanation:
The volume of the cylinder is given by the formula ...
V = πr²h
V = π(4 in)²(13 in) = 208π in³
The volume of a cone 3 inches in radius and 7 inches high is ...
V = (1/3)πr²h = (1/3)(3 in)²(7 in) = 21π in³
Then the ratio of the volume of the cylinder to that of the cone is ...
(208π in³)/(21π in³) ≈ 9.905
You would need to fill the funnel about 10 times to fill the can.
