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Westkost [7]
4 years ago
9

Given the following diagram, if m∠COF = 150°, then m∠BOC =

Mathematics
1 answer:
Naddik [55]4 years ago
5 0
Complete question:
<span>Given the following diagram, if and mCOF = 150°, then mBOC = _____.
150°
90°
45°
30°

I attached a possible diagram that I found in a similar problem.

Using the diagram, I can see that </span>∠COF is supplementary to ∠BOC. This means that the sum of their angles is equal to 180°. 

m∠COF + m∠BOC = 180°
m∠COF = 150°

m∠BOC = 180° - 150° = 30°  Choice D.

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The total cost (in dollars) of producing x food processors is C(x) = 2500 + 50x -0.28.
Darya [45]

Answer:

The exact cost of producing the 21st food processor is $38.52.

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

Step-by-step explanation:

Consider the provided function.

C(x) = 2500 + 50x -0.28x^2

(A) Find the exact cost of producing the 21st food processor

The exact cost producing 21st food processor is C(21)-C(20)

Substitute x=21 in above function.

C(x) = 2500 + 50(21) -0.28(21)^2

C(x) = 2500 +1050 -123.48

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Substitute x=20 in above function.

C(x) = 2500 + 50(20) -0.28(20)^2

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C(x) = 3388

The exact cost producing is:

C(21)-C(20)=3426.52-3388=38.52

Hence, the exact cost of producing the 21st food processor is $38.52.

Part (B) Use the marginal cost to approximate the cost of producing the 21st food processor,

To find the marginal cost first differentiate the function with respect to x.

C(x) = 2500 + 50x -0.28x^2

C'(x) =50-0.56x

Now substitute x=21 in above function.

C'(x) =50-0.56(21)

C'(x) =50-11.76

C'(x) =38.24

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

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3 years ago
Broccoli cost 1.50 per pound at a store. How much money does 32 ounce of broccoli cost.
spayn [35]

Answer:

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Step-by-step explanation:

Step 1. Calculate the <em>pounds of broccoli</em>.

Start with what you know: you want 32 oz of broccoli.

You know that 1 lb = 16 oz.     Calculate the weight in pounds

Wt  = 32 × 1/16

Wt  = 2 lb

===============

Step 2. Calculate the <em>cost of the broccoli</em>.

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