2.32 x 10⁵ = 232000
This can be solved by multiplying 2.32 to the product of 10 multiplied 5 times.
10⁵ = 10 * 10 * 10 * 10 *10
10⁵ = 100,000
2.32 x 100000 = 232000
The given equation is the standard form of a decimal number. It is used to write down a very large or very small number easily.
There are a lot of standard forms. Like: Standard form of an equation and Standard form of a polynomial.
There is a possibility of 24 combinations I believe
Answer:
-5
Step-by-step explanation:
H is the value that is being added or subtracted from x in the equation
f(x)=a(x-h)^2 +k
You just have to find the greatest common factor for both 28 and 24, which is 4. You can make 4 packets with 7 milk chocolates and 6 dark chocolates.
Dy/dx = y/(x^2)
dy/y = dx/(x^2)
int[dy/y] = int[dx/(x^2)] ... apply integral to both sides
ln(|y|) = (-1/x) + C
|y| = e^{(-1/x) + C}
|y| = e^C*e^(-1/x)
|y| = C*e^(-1/x)
y = C*e^(-1/x)
So you have the correct answer. Nice job.
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Check:
y = C*e^(-1/x)
dy/dx = d/dx[C*e^(-1/x)]
dy/dx = d/dx[-1/x]*C*e^(-1/x)
dy/dx = (1/(x^2))*C*e^(-1/x)
is the expression for the left hand side (LHS)
y/(x^2) = [C*e^(-1/x)]/(x^2)
y/(x^2) = (1/(x^2))*C*e^(-1/x)
is the expression for the right hand side (RHS)
Since LHS = RHS, this confirms the solution for dy/dx = y/(x^2)
