Answer:
B. The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.
Step-by-step explanation:
Rate at which people enter:
e(x)=0.03x^3 + 2
Rate at which people leave:
L(x)=0.5x + 1
Rate at which the number of people in the park is changing:
(e - L)(x) = 0.03x^3 + 2 - (0.5x + 1) = 0.03x^3 - 0.5x + 1
4 hours after the gates open, the rate is:
(e - L)(4) = 0.03(4)^3 - 0.5(4) + 1 = 0.92 hundreds of people per hour or 0.92*100 = 92 people per hour
Answer:
![f(x)=x^3](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3)
Step-by-step explanation:
The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of
. From here we're in simplest form, since
or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.
This triangle can be classified as an Acute Scalene Triangle.
It is an Acute triangle because all of its sides are acute (less than 90 degrees)
It is a Scalene triangle because all of its sides are of different lengths.
To find the missing angle degree we must subtract 61 and 78 from 180. We subtract them from 180 because all angles of a triangle add up to 180 degrees.
180 - 61 - 78 = 41.
So the missing angle (x) = 41 degrees.
Hope I helped!
Eight hundred seventy six thousand five hundred forty three.