Answer:
Equation of the line that passes through the point (-2,7) and has a slope of zero is given as

Step-by-step explanation:
Equation of line is given as
-----------(1)
Here

Substituting values in equation (1)

Answer:
Required largest volume is 0.407114 unit.
Step-by-step explanation:
Given surface area of a right circular cone of radious r and height h is,
and volume,

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,
subject to,

We know for maximum volume
. So let
be the Lagranges multipliers be such that,



And,



Substitute (3) in (2) we get,



Substitute this value in (1) we get,



Then,

Hence largest volume,

We have $8.50 an hour gross minus $2.15 an hour tax and bennys. Then $3.75 daily expense. In one week our net take-away y after x hours is
y = x(8.50 - 2.15) - 5(3.75)
That's the answer, or we can simplify it to
Answer: y = 6.35 x - 18.75
Answer: The slope, 6.35, is the net dollars per hour <em>before weekly expenses.</em>
Answer: The y intercept, -18.75, is the weekly expense, negative because it's an expense.
To make $120 in a week, we solve for x where y=120
120 = 6.35x - 18.75
138.75 = 6.35 x
x = 138.75 / 6.35 = 21.8503937007874
That wasn't the nice round number I was expecting/hoping for. I don't see a mistake so let's go with
Answer: 21.85 hours to make $120
Answer:
4.4471336 * 10^2.
Step-by-step explanation:
(6.253•10^-2)(7.112x10^3)
= 6.253*7.112 * 10^-2*10^3
= 44.471336 * 10^1
= 4.4471336 * 10^2.
32 cars per hour. If you do 256 divided by 8 you get 32.
Hope this helped!