The answer to the first question is 7(3.14)/6.
the answer to the second question is quadrant 2
The speed of the current is 40.34 mph approximately.
<u>SOLUTION:
</u>
Given, a man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream.
We have to find the speed of the current if the speed of the boat is 11 mph in still water. Now, let the speed of river be a mph. Then, speed of boat in upstream will be a-11 mph and speed in downstream will be a+11 mph.
And, we know that, ![\text{ distance } =\text{ speed }\times \text{ time }](https://tex.z-dn.net/?f=%5Ctext%7B%20distance%20%7D%20%3D%5Ctext%7B%20speed%20%7D%5Ctimes%20%5Ctext%7B%20time%20%7D)
![\begin{array}{l}{\text { So, for upstream } \rightarrow 40=(a-11) \times \text { time taken } \rightarrow \text { time taken }=\frac{40}{a-11}} \\\\ {\text { And for downstream } \rightarrow 70=(a+11) \times \text { time taken } \rightarrow \text { time taken }=\frac{70}{a+11}}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Ctext%20%7B%20So%2C%20for%20upstream%20%7D%20%5Crightarrow%2040%3D%28a-11%29%20%5Ctimes%20%5Ctext%20%7B%20time%20taken%20%7D%20%5Crightarrow%20%5Ctext%20%7B%20time%20taken%20%7D%3D%5Cfrac%7B40%7D%7Ba-11%7D%7D%20%5C%5C%5C%5C%20%7B%5Ctext%20%7B%20And%20for%20downstream%20%7D%20%5Crightarrow%2070%3D%28a%2B11%29%20%5Ctimes%20%5Ctext%20%7B%20time%20taken%20%7D%20%5Crightarrow%20%5Ctext%20%7B%20time%20taken%20%7D%3D%5Cfrac%7B70%7D%7Ba%2B11%7D%7D%5Cend%7Barray%7D)
We are given that, time taken for both are same. So ![\frac{40}{a-11}=\frac{70}{a+11}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7Ba-11%7D%3D%5Cfrac%7B70%7D%7Ba%2B11%7D)
![\begin{array}{l}{\rightarrow 40(a+11)=70(a-11)} \\\\ {\rightarrow 40 a+440=70 a-770} \\\\ {\rightarrow 70 a-40 a=770+440} \\\\ {\rightarrow 30 a=1210} \\\\ {\rightarrow a=40.33}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Crightarrow%2040%28a%2B11%29%3D70%28a-11%29%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%2040%20a%2B440%3D70%20a-770%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%2070%20a-40%20a%3D770%2B440%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%2030%20a%3D1210%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%20a%3D40.33%7D%5Cend%7Barray%7D)
Answer:
Table 1 is not a function because there are two y-values with the same x-values. Remember... y values can repeat but x values cannot repeat when their corresponding y values are different.
Table 2 is a function.
You would need to omit either (3,7) or (3,-2).
Please vote brainliest! Hope this helps, have a nice day.
Any terminating decimal number is rational.
A rational number is a number that can be written as a fraction of integers.
0.444 = 444/1000 = 222/500 = 111/250
0.444 is the same as 111/250, a fraction of integers, so 0.444 is rational.