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Mumz [18]
3 years ago
6

The weight W that a horizontal beam can support varies inversely as the length L of the beam. Suppose that an 8 dash m beam can

support 900 kg. How many kilograms can a 19 dash m beam​ support?
Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0
<h2>Answer:</h2>

The number of kilograms a 19 m beam can support is:

                               378.9474 kg

<h2>Step-by-step explanation:</h2>

It is given that:

The weight W that a horizontal beam can support varies inversely as the length L of the beam.

Let k denote the constant.

This means that the weight W and Length L is related as:

                 W=\dfrac{k}{L}

Suppose that an 8 dash m beam can support 900 kg.

This means that L=8 and W=900

Then,

900=\dfrac{k}{8}\\\\i.e.\\\\k=900\times 8\\\\i.e.\\\\k=7200

Now , we are asked to find the value of W when L= 19

i.e.

W=\dfrac{7200}{19}\\\\i.e.\\\\W=378.9474\ kg

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Determine whether the series is convergent or divergent. if it is convergent, find its sum. (if the quantity diverges, enter div
Lemur [1.5K]

The geometric series is convergent and the value is 16.

<h3>How to illustrate the information?</h3>

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4)

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Learn more about geometric series on:

brainly.com/question/24643676

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2 years ago
10.
Misha Larkins [42]

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Step-by-step explanation:

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Ok, a fun hack

if f⁻¹(a)=b then f(b)=a

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to find b, find x such that f(x)=7


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irinina [24]

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Step-by-step explanation:

Have a great rest of your day
#TheWizzer

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