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
Answer:
a=1, b=-6, c=2, d=1
Step-by-step explanation:
You are given the function
Find the derivative:
The curve has a tangent line when x = 0 with equation y = 2x + 1, so
Hence,
The curve has a tangent line when x = 1 with equation y = -3x + 2, so
So,
From the second equation, a=-5-b, substitute it into the first one:
Answer:
The solution of the inequality is a < 0.2870
Step-by-step explanation:
* Lets talk about the exponential function
- the exponential function is f(x) = ab^x , where b is a constant and x
is a variable
- To solve this equation use ㏒ or ㏑
- The important rule ㏒(a^n) = n ㏒(a) OR ㏑(a^n) = n ㏑(a)
* Lets solve the problem
∵ 13^4a < 19
- To solve this inequality insert ㏑ in both sides of inequality
∴ ㏑(13^4a) < ㏑(19)
∵ ㏑(a^n) = n ㏑(a)
∴ 4a ㏑(13) < ㏑(19)
- Divide both sides by ㏑(13)
∴ 4a < ㏑(19)/㏑(13)
- To find the value of a divide both sides by 4
∴ a < [㏑(19)/㏑(13)] ÷ 4
∴ a < 0.2870
* The solution of the inequality is a < 0.2870
Answer:
Nora would have 30 papers graded in 5 hours.
Step-by-step explanation:
6 papers per hour x 5 hours = 30 papers graded in 5 hours