Answer:
part 1) It takes 2/15 hour to complete 1 task
Part 2) The robot can only complete 7 tasks in an hour (the remaining doens’t count)
Step-by-step explanation:
So first divide to find unit rate
2/5 ÷ 3
2/5 * 1/3
2/15
For part 2
Just put the unit rate in an equation
2/15x=1
Where 1 is the single hour and x is the task
solve
you’ll get 7 1/2
Due to only requesting for tasks in an Hour
its only 7 task
Step-by-step explanation:
Hey there!
Follow the steps to get answer.
- Use one point formula and find 1st equation.
- After that you find the slope of second equation.
- Use the condition of perpendicular lines and find the slope of first equation.
- Put slope value of equation in equation (i) and simplify them to get equation.
The equation of a line passing through point (2,3) is;
(y-3)= m1(x-2).......(i).
Another equation is;
![y = \frac{ - 1}{2} x + \frac{2}{3}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20-%201%7D%7B2%7D%20x%20%2B%20%20%5Cfrac%7B2%7D%7B3%7D%20)
2nd equation..
Now, From equation (ii)
We have;
Comparing equation (ii) with y = mx+c.
We get;
Slope = -1/2.
For perpendicular lines,
![m1 \times m2 = - 1](https://tex.z-dn.net/?f=m1%20%5Ctimes%20m2%20%3D%20%20-%201)
![m1 \times \frac{ - 1}{2} = - 1](https://tex.z-dn.net/?f=m1%20%5Ctimes%20%20%5Cfrac%7B%20-%201%7D%7B2%7D%20%20%3D%20%20-%201)
Therefore the slope is 2.
Put value of slope (m1) in equation (i). We get;
![(y - 3) = 2(x - 2)](https://tex.z-dn.net/?f=%28y%20-%203%29%20%3D%202%28x%20-%202%29)
Simplify them to get equation.
![(y - 3) = 2x - 4](https://tex.z-dn.net/?f=%28y%20-%203%29%20%3D%202x%20-%204)
![y = 2x - 1](https://tex.z-dn.net/?f=y%20%3D%202x%20-%201)
Therefore the required equation is y = 2x-1.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Answer: 939520
Step-by-step explanation: your ones place has a five in it, therefore you round up your tens place
Answer: 21,362 people
Step-by-step explanation:
The current population is 20,600 people and this population is to increase by 3.7% per year.
The population of the town in one year can be calculated by:
= Population * (1 + growth rate)^no. of years
= 20,600 * ( 1 + 3.7%)¹
= 21,362.2
= 21,362 people