Sector area= theta/360 x πr^2
Radius= 24/2= 12
Sector area= 120/360 x π(12)^2
Final answer :
Sector area = 48π
The cost function is
c = 0.000015x² - 0.03x + 35
where x = number of tires.
To find the value of x that minimizes cost, the derivative of c with respect to x should be zero. Therefore
0.000015*2x - 0.03 = 0
0.00003x = 0.03
x = 1000
Note:
The second derivative of c with respect to x is positive (= 0.00003), so the value for x will yield the minimum value.
The minimum cost is
Cmin = 0.000015*1000² - 0.03*1000 + 35
= 20
Answer:
Number of tires = 1000
Minimum cost = 20
Answer: 1.79
Step-by-step explanation: x2−6x−14=0
For this equation: a=1, b=-6, c=-14
1x2+−6x+−14=0
Step 1: Use quadratic formula with a=1, b=-6, c=-14.
x=
−b±√b2−4ac
2a
x=
−(−6)±√(−6)2−4(1)(−14)
2(1)
x=
6±√92
2
x=3+√23 or x=3−√23
Answer:
x=3+√23 or x=3−√23= 1.79
Answer:
There are 5 pigs on Aaron's farm
Step-by-step explanation:
1. Start with 40 animals
2. 1/10 of the animals are cows, so divide 40 by 10 and you will find that 4 of the animals are cows
3. 2/5 of the animals are chickens, so multiple 40 by 2 to get 80 and then divide 80 by 5 and you will find that 16 of the animals are chickens
4. Subtract the 4 cows and 16 chickens from the 40 total animals and you find there are 20 more animals that are neither cows nor chickens
5. Of the 20 remaining animals, 1/4 are pigs, so divide 20 by 4 and you will find that there are 5 pigs
