Answer: There are 18 quarters and 3 dimes in $4.80
Step-by-step explanation:
In mathematics, the Laplace transform, named after its discoverer Pierre Simon Laplace, transforms a function of real variables (usually in the time domain) into a function of complex variables (in the time domain). is the integral transform that Complex frequency domain, also called S-area or S-plane).
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Answer:
f'(x) = 5[1 + f²(x)]
Step-by-step explanation:
By definition, f'(x) = lim h => 0 {[f(x + h) - f(x)]/h}
This was used, together with the given limits:
lim x => 0 f(x) = 0
lim x => 0 f(x)/x = 5,
to determine the derivative of the given function:
f(x + y) = [f(x) + f(y)]/[1 - f(x)f(y)].
The workings are shown in the attachments.
Mia’s first error was " she forgot to multiply π by (17.5)²(47) "
Step-by-step explanation:
The formula of the volume of a cylinder is V = π r² h, where
- r is the radius of the base of the cylinder
- h is the height of the cylinder
∵ The diameter of the base of the cylinder is 35 meters
∵ The radius =
× diameter
∴ The radius =
× 35 = 17.5 meters
∴ r = 17.5
∵ The height of the cylinder = 47 meters
∴ h = 47
- Substitute r and h in the formula of the volume
∴ V = π (17.5)²(47)
∵ Mai's first step is V = (17.5)²(47)
- She forgot to put π
∴ Her first error is she forgot to multiply π by (17.5)²(47)
Mia’s first error was " she forgot to multiply π by (17.5)²(47) "
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