Answer:
y = 12
Step-by-step explanation:
Use the equation y = kx
Plug in x and y to find k:
2 = k(16)
1/8 = k
Then, plug in 1/8 as k and 96 as x to find y:
y = 1/8(96)
y = 12
Hello and Good Morning/Afternoon!
<u>Let's take this problem step-by-step</u>:
<u>What the problem asks for:</u>
⇒ to rationalize the denominator
⇒ rationalize means that you multiply the numerator and
demonimator by the denominator
<u>Let's put that into action</u>:
<== <u>Answer</u>
<u></u>
Hopefully that helps!
Answer:
wait what.... ummm do you need help with somthing
Step-by-step explanation:
Answer:
9:4,000
Step-by-step explanation:
90:40,000
This can be simplified by 10
9:4,000
This cannot be simplified further.
Answer:
a)
b) P(2) = 14 units
c) from hour 4 to hour 5, an average worker can complete about 0.1 of a unit.
Step-by-step explanation:
Notice that the problem gives the derivative of the production function, and also an extra piece of information (P(2) = 14) - also called initial condition - that allows us to find the actual production with any additional constant.
Let's work on the "antiderivative" of the function:
Using the change of variables , becomes
Then, the family of antiderivatives becomes:
We should be able to determine the constant C using the initial condition for the problem:
Then we evaluate:
Then the function requested in point a) is:
Point b) "Find the number of units an average worker can complete 2 hours after beginning work" was already given as the initial condition, so P(2) = 14 units.
Point c) asks for the number of units an average worker can complete from hour 4 to hour 5, so we calculate the difference:
So the average worker can complete one tenths of a unit between hour 4 and hour 5.