Let x= measure of angle 1
Let y= measure of angle 2
This is solving a system of equations
3x=30+ 5y which can also be written
3x-5y=30, and
2x+2y=180
There are a few ways to solve this, like solving for x in one of the equations and plugging it in for x in the other equation, but here is another way:
2(3x-5y)=2*30
3(2x+2y)= 3*180
6x-10y=60
6x+6y=540, and now subtract to get rid of x
0-16y=-480
Y=30
Plug it back in to either equation and you get x=60
1 revolution is 360 degrees
1 hour = 60 minutes
360/60 = 6
so it rotates 6 degrees every minute
135/6 = 22.5 minutes
Answer: Marginal cost = $46
The cost of production increases by about $46 when one additional unit is produced.
Step-by-step explanation:
Given : The cost to produce q items is dollars.
The marginal cost of producing the 12th item= C(12)-C(11)
=1588-1542=46
Interpretation : It means , the cost of production increases by about $46 when one additional unit is produced.
Answer:
t = 2.5 s
Step-by-step explanation:
Suppose you have a water-balloon launcher. The balloon is 3 ft high when it leaves the launcher. Its equation is :
The above equation is a quadratic equation. The general equation is :
Here, a = 16, b = 38.8 and c = 3
The solution of quadratic equation is given by :
So, at t = 2.5 s the balloon is in air.
Three times the product of four and twelve.