EXPLANATION
The range of the number of miles biked is ----> 14 because 25-11=14
Should be B because the slope is 2
Answer:
Growth factor = 5
<em></em>
Step-by-step explanation:
Given
![y = 1.5(0.5)^x](https://tex.z-dn.net/?f=y%20%3D%201.5%280.5%29%5Ex)
Required
Determine the growth factor
An exponential function is represented as: ![y = ab^x](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex)
Where b is the growth factor
By comparing:
to ![y = 1.5(0.5)^x](https://tex.z-dn.net/?f=y%20%3D%201.5%280.5%29%5Ex)
![b = 0.5](https://tex.z-dn.net/?f=b%20%3D%200.5)
<em>Hence, the growth factor is 5</em>
Answer:
28 miles in 1.4 hours in the city
Step-by-step explanation:
<u>On the highway:</u>
Time
hours
Rate = 45 mph
Distance
miles
<u>In the city:</u>
Time
hours
Rate = 20 mph
Distance
miles
The trip was 100 miles long, then
![45t+20(3-t)=100\\ \\45t+60-20t=100\\ \\45t-20t=100-60\\ \\25t=40\\ \\t=1.6\ hours\\ \\3-t=3-1.6=1.4\ hours](https://tex.z-dn.net/?f=45t%2B20%283-t%29%3D100%5C%5C%20%5C%5C45t%2B60-20t%3D100%5C%5C%20%5C%5C45t-20t%3D100-60%5C%5C%20%5C%5C25t%3D40%5C%5C%20%5C%5Ct%3D1.6%5C%20hours%5C%5C%20%5C%5C3-t%3D3-1.6%3D1.4%5C%20hours)
Distance on the highway
miles
Distance in the city
miles
Answer:
The length of the arc is ![S =75 . 4 \ m](https://tex.z-dn.net/?f=S%20%3D75%20.%204%20%5C%20m)
Step-by-step explanation:
From the question we are told that
The angle of the quadrant is ![\theta = 90 ^o](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%2090%20%5Eo)
The radius of the circle is r =4 m
The angle of the arc is mathematically represented as
![z = 360 - 90 = 270 ^o](https://tex.z-dn.net/?f=z%20%3D%20%20360%20-%20%2090%20%3D%20270%20%5Eo)
The length of the arc is mathematically represented as
![S = 2 \pi r [\frac{z}{360} ]](https://tex.z-dn.net/?f=S%20%3D%202%20%5Cpi%20r%20%5B%5Cfrac%7Bz%7D%7B360%7D%20%5D)
substituting values
' ![S = 2*(3.142) * 4 [\frac{270}{360} ]](https://tex.z-dn.net/?f=S%20%3D%202%2A%283.142%29%20%2A%204%20%5B%5Cfrac%7B270%7D%7B360%7D%20%5D)
![S =75 . 4 \ m](https://tex.z-dn.net/?f=S%20%3D75%20.%204%20%5C%20m)