12^2 - 6^2 * 3^4 + 5^3
(144) - (36) * (81) + (125)
144 - (36 * 81) + 125
144 - 2916 + 125
-2,772 + 125
-2,647
Answer:
What are the measures and is there a link that could be shown?
Step-by-step explanation:
The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
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Step-by-step answer:
Given an enlargement from preimage (ABC) to image (A'B'C').
Need to find scale factor.
Solution:
Scale factor = linear size of image / linear size of preimage.
From the accompanying diagram, we see that
L(preimage) = AC = 4 units
L(image) = A'C' = 12 units
Therefore
Scale factor = L(image) / L(preimage) = 12 / 4 = 3