Answer:
Differentiation is concerned with things like speeds and accelerations, slopes and curves ect. These are Rates of Change, they are things that are defined locally. The Fundamental Theorem of Calculus is that Integration and Differentiation are the inverse of each other.
900x is greater than or equal to 550x+6500. In this equation, I used x to represent the number of weeks, 900x to represent her profits, and 550x+6500 to represent her costs. Then, since 19 is the lowest integer that we can plug into the equation to keep the inequality true, it is our answer, 19 weeks.
Answer:
The answer to your question is the letter B. 27
Step-by-step explanation:
Data
The Radius of large sphere = 3 times the size of the radius small sphere.
The Ratio of Volume = ?
Formula
Volume of a sphere = 4/3 πr³
Process
1.- Calculate the volume of the large sphere
Vl = 4/3 π(3r)³
2.- Calculate the volume of the small sphere
Vs = 4/3 πr³
3.- Calculate the ratio
Vl / Vs = [4/3π(3r³)] / [4/3 πr³]
- Simplification
Vl / Vs = 3³r³ / r³
Vl / Vs = 27
Answer:
y=1.7
x=.9
Step-by-step explanation:
Answer:
C. (-1, 2)
Step-by-step explanation:
The midpoint has coordinates that are the average of the endpoint coordinates. If the endpoints are A and B, and the midpoint is M, the equation for this is ...
M = (A+B)/2
Solving for B, we get ...
2M = A + B
2M - A = B
This tells us we can find the other endpoint by subtracting the coordinates of the given endpoint from twice the midpoint coordinates. (It is useful to remember this.)
B = 2(1, -2) - (3, -6) = (2-3, 2(-2)-(-6)) = (-1, 2)
The other endpoint is (-1, 2).
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You can also graph the points and find one as far from center as the given endpoint is.
