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NemiM [27]
3 years ago
9

Approximate the value of each of the irrational numbers below to the nearest thousandth.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
4 0

ANSWER

\sqrt{13}  = 3.606

to the nearest thousandth.

EXPLANATION

The given irrational number is

\sqrt{13}

We use the calculator to evaluate this to obtain,

\sqrt{13}  = 3.605551...

To round to the nearest thousandth means we are rounding to 3 decimal places.

The third decimal place is 5.

The next number is 5 so we round up.

\sqrt{13}  = 3.606

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If possible help me in this. I need to find the two odd numbers...​
Lelechka [254]

Part (a)

Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer

For example, if x = 7, then x+2 = 9 is right after.

<h3>Answer:  x+2</h3>

========================================================

Part (b)

The consecutive odd integers we're dealing with are x and x+2.

Their squares are x^2 and (x+2)^2, and these squares add to 394.

<h3>Answer: x^2 + (x+2)^2 = 394</h3>

========================================================

Part (c)

We'll solve the equation we just set up.

x^2 + (x+2)^2 = 394

x^2 + x^2 + 4x + 4 = 394

2x^2+4x+4-394 = 0

2x^2+4x-390 = 0

2(x^2 + 2x - 195) = 0

x^2 + 2x - 195 = 0

You could factor this, but the quadratic formula avoids trial and error.

Use a = 1, b = 2, c = -195 in the quadratic formula.

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\

If x = 13, then x+2 = 13+2 = 15

Then note how x^2 + (x+2)^2 = 13^2 + 15^2 = 169 + 225 = 394

Or we could have x = -15 which leads to x+2 = -15+2 = -13

So, x^2 + (x+2)^2 = (-15)^2 + (-13)^2 = 225 + 169 = 394

We get the same thing either way.

<h3>Answer: Either 13, 15  or  -15, -13</h3>
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3 years ago
What is the coefficient in the following equation: p - 6 = 3
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Answer:

1

Step-by-step explanation:

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7 0
3 years ago
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Acasa Insurance Company offers several plans for home insurance.
pantera1 [17]

Acasa's expected value loss  be per customer who chooses plan A

Assumption

Fill customers choose plan A

The  average payout is the same for plans A & B

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⇒ 1000% × 700$ - 5% ×[27000$ - 3000$]

⇒ 700$ - 1200$

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What are a profit and loss?

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How do I write an equation in point slope form
valentina_108 [34]
Hi there...
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I have 25 coins in my pocket all of which are 5 penny or 20 penny coins. if their total value is 2.90 pounds how many penny coin
Jlenok [28]

Answer:

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Step-by-step explanation:

<u>Given</u>

  • 5p coins = x
  • 20p coins = y
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  • Number of coins = 25

<u>Equations</u>

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<u>Consider the first equation in the second one</u>

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