Answer:m=142
Step-by-step explanation:180-38
This problem deals the rate of change.
For the formula of the area of a circle, we differentiate both sides with respect to time t.
(A = πr^2) d/dt
dA/dt = 2πr (dr/dt)
Since we don't know yet the radius r, the area of a circle is given.
A = πr^2
r^2 = A/π = 4π/π
r^2 = 4
r = 2 cm
Therefore, the rate of the radius is
dA/dt = 2πr (dr/dt)
dr/dt = (dA/dt)/(2πr)
dr/dt = π/(2π*2)
dr/dt = 0.25 cm/min
Hope this helps.
Let x be the number of loaves of banana bread and y be the number of loaves of nyt bread Elena makes.
1. A loaf of banana bread requires 2 cups of flour and 2 eggs, then x loaves require 2x cups of flour and 2x eggs.
2. A loaf of nut bread takes 3 cups of flour and 1 egg, then y loaves require 3y cups of flour and y eggs.
3. Elena has 12 cups flour, then
2x+3y≤12.
4. Elena has 8 eggs, then
2x+y≤8.
5. If she makes $1.50 profit per loaf of banana bread and $2 per loaf of nut bread, then she makes total profit of $(1.50x+2y).
The solution of system of two inequalities

is represented in the attached diagram.
The maximal profit can be obtained at point (3,2), where

Answer: correct choice is C (Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit)
Answer:
Mike is not right
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z----> the scale factor
x----> surface area of the enlarged rectangular prism
y-----> surface area of the original rectangular prism

so
In this problem we have

substitute



so
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
therefore
Mike is not right
<em>Verify with an example</em>
we have a rectangular prism



The surface area of the prism is equal to

substitute the values

If he doubles each dimension of any rectangular prism
then
the new dimensions will be



The new surface area will be


therefore
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
Answer:
Volume of triangular prism & cube (video)Step-by-step explanation: