Answer:
Total distance covered by the maintenance worker = 9189.16 feet
Step-by-step explanation:
An amusement park has a diameter = 975 feet
Radius of the park = 
r = 
r = 487.5 feet
Since a maintenance worker walks around the park three times, that means he covers the circumference of the circle thrice.
Circumference = 2πr
C = 2π(487.5)
C = 975π feet
He covers this distance thrice,
So total distance covered by him = 3 × (975π)
= 2925π
= 9189.16 feet
Therefore, he walks 9189.16 feet per day.
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Answer:
Step-by-step explanation:
The standard form for a polynomial equation in its factored form is:
Where p and q are the zeros and a is the leading coefficient.
We know that the degree of the polynomial is 5.
We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).
These have a multiplicity of two, so we will square them.
We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.
Therefore, our polynomial is now:
We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:
Evaluate:
Evaluate:
Divide both sides by -144:
Hence, our entire polynomial is:
Answer: -5 - 4w > 10
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