
divide both sides by pi


r=3
Radius is 3
diameter is double the radius, so diameter = 6
Answer:
Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the left.
Step-by-step explanation:
The solid line shows it is greater than or equal to. Shade to left of vertical line if less than and right of it if greater than.
Complete question :
It takes Carol 30 minutes to drive to work using two roads. She drives 24 mph on a small road 1/2 for hour. Then she drives 56 mph on a highway for 1/4 hour. How far does Carol travel to work?
Answer:
26 miles
Step-by-step explanation:
The distance traveled is given by :
Distance = speed * time
Distance covered on small road :
24 mph * 1/2 hours = 12 miles
Distance covered in highway :
56 mph * 1/4 hours = 14 miles
Total miles traveled = 12 + 14 = 26 miles
Answer:
The correct answer is 0.5 pounds of pollutant.
Step-by-step explanation:
According to the problem the cost of controlling emissions at a firm is given by:
C(q) = 1,260 + 100 ×
, where q is the reduction in emissions (in pounds of pollution per day) and C is the daily cost to the firm (in dollars) of this reduction.
Government clean-air subsidies amount to $100 per pound of pollutant removed per day.
Net cost = C(q) - Subsidy
⇒ Net Cost = 1,260 + 100 ×
- 100 × q.
In order to minimize net cost we calculate,
(Net cost) = 0.
⇒ 200 × q - 100 = 0
⇒ q = 0.5
We can see that the second order derivative is positive and thus the net cost minimizes.
Thus the firm should remove 0.5 pounds of pollutant each day in order to minimize net cost.
Yes!
1/4 will equal 3/12
2/3 will equal 8/12