Bennett bought a $21 meal. The sales tax was 5%. Bennett tried to find the sales tax in a few different ways. Which of his metho
2 answers:
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Answer:
(a) The largest square side is 24 inches
(b) No. of pieces are 14
Step-by-step explanation:
As per the question:
The dimensions of the fabric are
(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:
Therefore,
The GCF of the dimensions =
Therefore, the largest side of a square that can be cut from the fabric is 24 inches.
(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:
No. of pieces =
No. of pieces = = 14
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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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