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erica [24]
3 years ago
15

A carpenter is framing a window with wood trim where the length of the window is 9 1/3 feet. If the width of the window is 6 3/4

feet, how many feet of the wood is needed to frame the window?
Mathematics
1 answer:
ElenaW [278]3 years ago
4 0
This is not much of a question, because it doesn't take into account the width of the wood trim.  

So you are asked to find the perimeter of the window, ignoring the width of the trim.

P = Perimeter = 2L + 2W.

Here, P= 2(9 1/3 feet) + 2(6 3/4 feet) = 2(28/3 feet) + 2(27/4 feet)

So P = 2[28/3 + 27/4] feet.  LCD is 3*4 = 12.

Thus, P = 2 [ 28/3 + 27/4 ] feet.  Can you finish?  Add together the fractions 28/3 and 27/4.
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The volume of a cylinder is given by

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Let h\mapsto 2h and r\mapsto 2r

The new volume becomes

V = \pi(2h)(2r)^2 = \pi\cdot 2h \cdot 4r^2 = 8\pi hr^2

So, the new volume is 8 times the original volume. In fact, volume scales linearly with the height and quadratically with the radius.

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3 years ago
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4 years ago
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A particular bacterium population is found to double the in 20 minutes. If a laboratory culture
insens350 [35]

The bacteria present at t=37 minutes is found to be 8.40, with no change in growth rate.

<h3>What does population growth exponentially mean?</h3>

When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.

Given:

P = 340

It has been discovered that a specific bacterial population doubles in 20 minutes.

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We know that,

P = P₀e^{kt}

340   = P₀(e^{0.1*37})

340 =P₀(40.44)

P₀ = 8.40

As a result, the bacteria that will be present in t=37 minutes is found to be 8.40 with no change in growth rate.

Learn more about exponential growth here:

brainly.com/question/13223520

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Answer:

4. 40 regular hours.

5. 7.3 hours of overtime

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Step-by-step explanation:

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