Answer:
Hello! answer: x = 4
Step-by-step explanation:
Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!
Answer:
The actual cost incurred in manufacturing:
- the 111st oven is $114.07
- the 221st oven is 122.71
- the 311st oven is $140.59
The marginal cost when x = 110, 220, and 310 is



Step-by-step explanation:
We know that the daily cost function of producing microwave ovens is given by

(a) The actual cost incurred in manufacturing the 111st oven is the difference between the total cost incurred in manufacturing the first 111 ovens and the total cost of manufacturing the first 110 ovens:
![C(111)-C(110)=[0.0002(111)^3 - 0.06(111)^2 + 120(111) + 5000]-[0.0002(110)^3 - 0.06(110)^2 + 120(110) + 5000]\\\\C(111)-C(110)=17854.27-17740.2\\\\C(111)-C(110)=114.07](https://tex.z-dn.net/?f=C%28111%29-C%28110%29%3D%5B0.0002%28111%29%5E3%20-%200.06%28111%29%5E2%20%2B%20120%28111%29%20%2B%205000%5D-%5B0.0002%28110%29%5E3%20-%200.06%28110%29%5E2%20%2B%20120%28110%29%20%2B%205000%5D%5C%5C%5C%5CC%28111%29-C%28110%29%3D17854.27-17740.2%5C%5C%5C%5CC%28111%29-C%28110%29%3D114.07)
For the 221st
![C(221)-C(220)=[0.0002(221)^3 - 0.06(221)^2 + 120(221) + 5000]-[0.0002(220)^3 - 0.06(220)^2 + 120(220) + 5000]\\\\C(221)-C(220)=30748.31-30625.6\\\\C(221)-C(220)=122.71](https://tex.z-dn.net/?f=C%28221%29-C%28220%29%3D%5B0.0002%28221%29%5E3%20-%200.06%28221%29%5E2%20%2B%20120%28221%29%20%2B%205000%5D-%5B0.0002%28220%29%5E3%20-%200.06%28220%29%5E2%20%2B%20120%28220%29%20%2B%205000%5D%5C%5C%5C%5CC%28221%29-C%28220%29%3D30748.31-30625.6%5C%5C%5C%5CC%28221%29-C%28220%29%3D122.71)
For the 311st
![C(311)-C(310)=[0.0002(311)^3 - 0.06(311)^2 + 120(311) + 5000]-[0.0002(310)^3 - 0.06(310)^2 + 120(310) + 5000]\\\\C(311)-C(310)=42532.79-42392.2\\\\C(311)-C(310)=140.59](https://tex.z-dn.net/?f=C%28311%29-C%28310%29%3D%5B0.0002%28311%29%5E3%20-%200.06%28311%29%5E2%20%2B%20120%28311%29%20%2B%205000%5D-%5B0.0002%28310%29%5E3%20-%200.06%28310%29%5E2%20%2B%20120%28310%29%20%2B%205000%5D%5C%5C%5C%5CC%28311%29-C%28310%29%3D42532.79-42392.2%5C%5C%5C%5CC%28311%29-C%28310%29%3D140.59)
(b) If C(x) is a total cost function, then the marginal cost function is defined to be its derivative C'(x).
We need to find the derivative of the total cost function:

The marginal cost when x = 110, 220, and 310 is given by



It all depends on how many wins and losse you have all together in the conference
Answer:
3.5 in
Step-by-step explanation:
1in=6Miles
21=Miles
1in=6
1in=12
1in=18
.5in=3
____________
3.5IN = 21MILES
Answer:
V = (2·a)·(2·b)·(2·c) = 8·(a·b·c)
8 * 56 = 448 cubic inches