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algol [13]
2 years ago
8

Which inequality is NOT true when x= -2?

Mathematics
1 answer:
Levart [38]2 years ago
3 0

Answer: D

Step-by-step explanation:

-7 isn't greater than -4

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13

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What is 1.827 rounded to the nearest tenth
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Simplify (8.2 x 105) – (5.4 x 105)<br> 2.8 x 1010<br> 2.8 x 105<br> 3.2 x 1010<br> 3.2 x 105
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2.8×105

Step-by-step explanation:

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d = √(k/R)

Step-by-step explanation:

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3 years ago
A tire company has plants in Chicago and Detroit. The Chicago plant can make 600 radial and 100 standard tires per day. The Detr
melomori [17]

Answer:

To minimize the cost, the Chicago plant should run 30 days and the Detroit plant should run 20 days.

Step-by-step explanation:

This is a linear programming question, in which there is a function to optimize (minimize cost) and restrictions, all linear functions.

The objective function is Cost:

C=4000H+3000D

C: cost function

H: days of operation for Chicago plant

D: days of operation for Detroit plant

The restrictions are:

- Minimum requirements for radial tires:

600*H+300*D\geq24,000

- Minimum requirements for standard tires:

100*H+100*D\geq5,000

- Days are positive integers

H,D\geq0

We have 3 points in which 2 of the constraints are saturated. In one of this three points is the minimum cost.

We will evaluate them to find the minimum cost:

Point 1: H=0, D=80

C=4,000*H+3,000*D\\\\C=4,000*0+3,000*80=240,000

Point 2: H=50, D=0

C=4,000*H+3,000*D\\\\C=4,000*50+3,000*0=200,000

Point 3: H=30, D=20

C=4,000*H+3,000*D\\\\C=4,000*30+3,000*20=120,000+60,000=180,000

The third point minimizes the cost.

To minimize the cost, the Chicago plant should run 30 days and the Detroit plant should run 20 days.

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