the domain is a range of values of t (the x variable) that can give real values of y
Since the range ( y variable) is Rp= [0,100] ( round brackets mean excluding the two numbers while square means including ) since there are only 100 sheets of paper, no more no less
so the most t can be is when p=0, when t= 12.5, so domain is Dp= [0,12.5] after 12.5 min, there will be no paper left in the printer, so nothing can be printed
for D, sub t=7, so p(t) is the number of sheets left in the printer, you want to find the no. of sheets deducted so
p(t)=-8(7)+100
=100-15
=85
no. of pages in her report= 100-85= 15
Answer:
A) Radius: 3.44 cm.
Height: 6.88 cm.
B) Radius: 2.73 cm.
Height: 10.92 cm.
Step-by-step explanation:
We have to solve a optimization problem with constraints. The surface area has to be minimized, restrained to a fixed volumen.
a) We can express the volume of the soda can as:
This is the constraint.
The function we want to minimize is the surface, and it can be expressed as:
To solve this, we can express h in function of r:
And replace it in the surface equation
To optimize the function, we derive and equal to zero
The radius that minimizes the surface is r=3.44 cm.
The height is then
The height that minimizes the surface is h=6.88 cm.
b) The new equation for the real surface is:
We derive and equal to zero
The radius that minimizes the real surface is r=2.73 cm.
The height is then
The height that minimizes the real surface is h=10.92 cm.
Answer:
John has 42 apples left
Step-by-step explanation:
77-20-15=42
Hope this helps
Answer:
No correlation
Step-by-step explanation:
It doesn't face upward or downward really and is more in the middle with no actual direction.
Hopefully this helped :)