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Vinil7
9 days ago
15

Eric wants to get an output of 0. Can he do this with each machine? If so, how? If not, why not?

Mathematics
1 answer:
PIT_PIT [3.9K]9 days ago
4 0

Answer:

  • No, the second machine (function B) can produce an output of 0, while the first machine (function A) cannot.

Explanation

The functionality of each machine is dictated by the expression it operates under.

1)  Function A:

To achieve an output of 0 with the equation y = x² + 3, one would need to resolve the equation x² + 3 = 0.

Given that x² is always non-negative for any real number, x² + 3 will always be at least 3, meaning an output of 0 is unattainable with the first machine.

2) Function B:

By solving y=\sqrt{x}-2=0

  • \sqrt{x}-2=0

  • \sqrt{x} =2

  • x=2^{2}

  • x=4

Thus, utilizing x = 4 will yield an output of 0 with this machine.

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I believe the volume is approximately 1742.54 cm³.
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Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.
lawyer [4039]

Answer:

6.75g

Step-by-step explanation:

The initial step is to convert all values to grams using rules of three, followed by summation.

In a rule of three calculation, the first step is identifying the measures and how they interrelate; whether their connection is direct or inverse.

In direct relationships, as one measure increases, so does the other.

In inverse relationships, as one measure increases, the other decreases.

Problems involving unit conversion, like this, illustrate a direct relationship between measures.

First step: convert 0.0025kg to grams

One kilogram equals 1000 grams, so:

1kg - 1000g

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x = 1000*0.0025 = 2.5g

Thus, 0.0025kg is equal to 2.5g

Second step: handle 1750 mg

One gram consists of 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

x = \frac{1750}{1000}

x = 1.75g

Therefore, 1750 mg converts to 1.75g

2.25g is fine

Third step: convert 825,000 μg to grams

One gram consists of 1,000,000 micrograms, so:

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1,000,000x = 825,000

x = \frac{825,000}{1,000,000}

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So, 825,000 μg equals 0.25g

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8 0
9 days ago
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Sample size: n=12

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Standard deviation = \sigma=\sqrt{np(1-p)}

\Rightarrow\ \sigma=\sqrt{12(0.15)(1-0.15)}=1.23693168769\approx1.2369

Let x represent a binomial variable.

Referencing the standard normal distribution table,

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Z score for normal distribution:-

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17 hours ago
pat made a total of 48 pottery plates and cups if she made twice as many plates as cups how many plates did she make?
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48 divided by 3 equals 16 (cups)
Adding 16 and 16 gives 32 (which is double the number of cups)
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14 days ago
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