Answer:
d. 9.25
Step-by-step explanation:
g(f(3.5)) = g(3.5²) = g(12.25) = 12.25 -3 = 9.25
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<em>Creating the composite function first</em>
The composition (g ∘ f)(x) means g(f(x)). That is, the value of f(x) is used as the argument for function g.
g(f(x)) = g(x²) = x² -3
Then g(f(3.5)) = 3.5² -3 = 12.25 -3 = 9.25
There are 12 months, 7/12 have 31 days. You would have a 7/12 probability of choosing one with 31 days if it is random.
Step-by-step explanation:
hope it is helpful to you
29 because the original answer would have been 28.26
Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.
Step-by-step explanation:
The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that
P is directly proportional to S
Introducing a constant of proportionality, k, it becomes
P = kS
A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that
750 = k × 37
k = 750/37 = 20.27
The expression becomes
P = 20.27S
Therefore, the output for a wind speed of 40 miles per hour would be
P = 20.27 × 40
P = 810.8
