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bonufazy [111]
3 years ago
7

A lamp manufacturer has daily production costs of C = 0.25n2 – 10n + 800, where C is the total cost in dollars for n lamps produ

ced.
What is a reasonable domain for this function, given the problem's context?
A) all integers
B) all real numbers
C) all positive integers
D) all positive real numbers
Mathematics
1 answer:
Oliga [24]3 years ago
8 0
I think the answer is C) all positive integers. It makes the most sense in the context of the problem. 
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Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t
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The total area of the figure is 139.20 square centimeters

Areas

The area of a shape is the amount of space it occupies

<h3>Composite figure</h3>

The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure

The shape has 6 equilateral triangles, each of which has an area of:

A_1 = \sqrt{\frac{3s^2}{4}}

Where:

s = 6 --- the length of each toothpick

The area of the rectangle is then represented as:

A_2 =3s \times s

A_2 =3s^2

So, the total area of the figure is:

Total = 6A_1 + A_2

This gives

Total =6 \times \sqrt{\frac{3s^2}{4}} + 3s^2

Substitute 6 for s

Total =6 \times \sqrt{\frac{3(6)^2}{4}} + 3(6)^2

Total =6 \times \sqrt{27} + 108

Total =6 \times 5.20+ 108

Total =139.20

Hence, the total area of the figure is 139.20 square centimeters

Read more about areas at:

brainly.com/question/21135654

7 0
2 years ago
What is the y-intercept of the graph of the function f(x)=x^2+3x+5?
marta [7]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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4 0
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Evaluate the expression for a = 5, b = 11, and c = 3. 2a + 2c(b − 5) A. 64 B. 46 C. 54 D. 163
Artemon [7]

2a +2c(b-5)

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10+36

46

Choice B


8 0
3 years ago
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