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Veronika [31]
3 years ago
15

The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If

the energy stored by the spring is 12 joules, what is the approximate weight of the spring in pounds?
Mathematics
2 answers:
Lesechka [4]3 years ago
8 0

Answer:

3.12 pound.

Step-by-step explanation:

Energy due to weight, w, of the spring = 0.9 × \sqrt{E} will be represented by

W=mg=0.9\sqrt{E}

If energy stored by the spring is 12 joules.

Then weight of the spring will be

m'g = w' = 0.9\sqrt{12}

             = 0.9 × 3.46

             = 3.12 pounds

The approximate weight of the spring  is 3.12 pound.

frutty [35]3 years ago
4 0
For this case we have the following equation:
 w = 0.9* \sqrt{E}
 Where,
 w: The weight of a spring in pounds
 E: the energy stored by the spring in joules.
 Substituting values we have:
 w = 0.9* \sqrt{12}
 Making the corresponding calculation:
 w=3.12
 Answer:
 
the approximate weight of the spring in pounds is:
 
w=3.12
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Step-by-step explanation:

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Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 1 : 4 : 7 by weight. Henry needs
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Answer:

Henry is short of gravel

Step-by-step explanation:

Here, we are to identify which of the ingredients Henry is short of.

To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.

The total ratio is 1 + 4 + 7 = 12

For cement, we have ;

1/12 * 180 = 15 kg

For sand, we have

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For gravel, we have

7/12 * 180 = 105 kg

From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel

8 0
2 years ago
What is 28 tiles in 7 ros. (It has to be a divison equation)
raketka [301]

If 28 tiles is placed in 7 rows then each row has 4 tiles.

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

The total number of tiles given =28.

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The number of tiles in each row is given by diving the total number of tiles given by the number of rows.

No of tiles in each row= \frac{total number of tiles}{number of rows}.

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Note: You can replace the values according to the given values.

8 0
3 years ago
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Hope this helps! :)
6 0
3 years ago
Read 2 more answers
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Flauer [41]

Answer:

The p-value of the test is of 0.0287 < 0.05(standard significance level), which means that it can be concluded that less than half of HIV-positive smokers have used a nicotine patch.

Step-by-step explanation:

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At the null hypothesis, we test if the proportion is of at least half, that is:

H_0: p \geq 0.5

At the alternative hypothesis, we test if the proportion is below 0.5, that is:

H_1: p < 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*(1-0.5)} = 0.5

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This means that n = 444, X = \frac{202}{444} = 0.455

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The p-value of the test is the probability of finding a sample proportion below 0.455, which is the p-value of z = -1.9.

Looking at the z-table, z = -1.9 has a p-value of 0.0287.

The p-value is of 0.0287 < 0.05(standard significance level), which means that it can be concluded that less than half of HIV-positive smokers have used a nicotine patch.

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