Answer:
50 km/hr
Step-by-step explanation:
D = RT
Time for first part of trip = 80/60 = 4/3 hr.
Time for second part of trip = 20/30 = 2/3 hr.
total time for entire trip = 4/3 + 2/3 = 6/3 = 2 hr.
Total distance = 100 km
Average rate of speed for entire trip = 100/2 = 50 km/hr
The correct answer for this problem is 0.83.
Answer:
Step-by-step explanation:
Let x be the track straights lengths
Let y be the track ends diameter and the other rectangle side lengths.
1800 = 2x + πy
y = (1800 - 2x) / π
A = xy
A = x((1800 - 2x) / π
A = (1/π)(1800x - 2x²)
dA/dx = (1/π)(1800 - 4x)
0 = (1/π)(1800 - 4x)
0 = 1800 - 4x
4x = 1800
x = 450 m
y = (1800 - 2(450)) / π
y = 900/π or approximately 286.5 m
Answer: 
Step-by-step explanation:
First, it is needed to determined the values for x = 1 and x = 2:

The sign change within the interval is the most sound evidence of the root existence. According to the Intermediate Value Theorem, there is a number
such that
. Another finding is that
is closer to 1 than to 2.
![c = a + \frac{b-a}{f(b)-f(a)}\cdot[f(c)-f(a)]](https://tex.z-dn.net/?f=c%20%3D%20a%20%2B%20%5Cfrac%7Bb-a%7D%7Bf%28b%29-f%28a%29%7D%5Ccdot%5Bf%28c%29-f%28a%29%5D)
![c = 1 + \frac{2-1}{4-(-1)}\cdot[0-(-1)] \\c = 1.2](https://tex.z-dn.net/?f=c%20%3D%201%20%2B%20%5Cfrac%7B2-1%7D%7B4-%28-1%29%7D%5Ccdot%5B0-%28-1%29%5D%20%5C%5Cc%20%3D%201.2)
What? explain or show a picture of the problem:/