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Studentka2010 [4]
2 years ago
11

Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost st

ructure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, is the cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units per day.


Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks. (5 points)

PLEASE HELP ):

Mathematics
1 answer:
spayn [35]2 years ago
7 0
The answer would be this graph.

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The area of a trapezoid is 144 square inches. if the height is 12 inches, find the length of the median.
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Answer: 12 inches

Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.

Area = median · height

We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for <em>m</em>, we divide both sides of the equation by 12 and we find that 12 = M.

So the length of the median of the trapezoid is 12 inches.

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2 years ago
Thirty-two percent of fish in a large lake are bass. Imagine scooping out a simple random sample of 15 fish from the lake and ob
klio [65]

Answer:

Thirty-two percent of fish in a large lake are bass. Imagine scooping out a simple random sample of 15 fish from the lake and observing the sample proportion of bass. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.

A.  The standard deviation is 0.8795. The 10% condition is met because it is very likely there are more than 150 bass in the lake.

B. The standard deviation is 0.8795. The 10% condition is not met because there are less than 150 bass in the lake.

C. The standard deviation is 0.1204. The 10% condition is met because it is very likely there are more than 150 bass in the lake.

D. The standard deviation is 0.1204. The 10% condition is not met because there are less than 150 bass in the lake.

E. We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 150 bass in the lake

The answer is E.

6 0
2 years ago
Describe a triangle for which the centroid, circumcenter, incenter, and orthocenter are the same point. What features of this tr
hjlf

Answer:

An equilateral triangle

Step-by-step explanation:

Because an equilateral has a feature that all sides have the same length and all angles are of the same, it does not matter from which side and peak the centroid, circumcenter, incenter and orthocenter is created, they would always end up at the same point.

3 0
2 years ago
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The average of Johnny’s two tests is a 92. What must he get on a 3rd test to raise his average to a 94?
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Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses but wants to spend le
Umnica [9.8K]

Answer: x+y\geq12

2.75x+3.50y\leq35

Step-by-step explanation:

Let x represents the number of red roses and y represents the number of white roses.

Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.

i.e. the required inequality for this statement will be :-

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i.e. x+y\geq12

Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35.

i.e. $2.75(No. of red roses)+$3.50(No. of white roses)≤ $35

i.e. 2.75x+3.50y\leq35

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x+y\geq12

2.75x+3.50y\leq35

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