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emmainna [20.7K]
3 years ago
8

Simplify. 5√ 10 1) 2√ 2) 2√2 3) 10√2 4) 5√

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

For this case we have that the expression in its exact form is the same, that is:

5 \sqrt {10}

If it is expressed in decimal form we have:

5 \sqrt {10} = 1.5849

If we want equivalent expressions, we must first mention the following property of powers and roots:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

Then, we can rewrite the expression as:

5 \sqrt {10} = \sqrt {5 ^ 2 * 10} = \sqrt {25 * 10} = \sqrt {250}

Answer:

5 \sqrt {10} = \sqrt {250} = 1.5849

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Does 23^-1 (mod 1000) exist? If yes solve it.
sweet [91]

Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).

Let <em>x</em> be the inverse. Then <em>x</em> is such that

23<em>x</em> ≡ 1 (mod 1000)

Use the Euclidean algorithm to solve for <em>x</em> :

1000 = 43×23 + 11

23 = 2×11 + 1

→   1 ≡ 23 - 2×11   (mod 1000)

→   1 ≡ 23 - 2×(1000 - 43×23)   (mod 1000)

→   1 ≡ 23 - 2×1000 + 86×23   (mod 1000)

→   1 ≡ 87×23 - 2×1000 ≡ 87×23   (mod 1000)

→   23⁻¹ ≡ 87   (mod 1000)

3 0
3 years ago
Help me please i dont understand
ELEN [110]

Answer:

6/5 or 1.2, they're the same value

Step-by-step explanation:

When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: \frac{y_2-y_1}{x_2-x_1} which is essentially \frac{rise}{run}. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: \frac{4- (-2)}{2- (-3)} = \frac{6}{5} that's the rate of change

8 0
2 years ago
Under her cell phone plan, Peyton pays a flat cost of $48 per month and $3 per gigabyte. She wants to keep her bill at $60.60 pe
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Answer: 4.20 gigabyte

Step-by-step explanation:

Based on the information given in the question, the equation that can be used to determine the the number of gigabytes of data Peyton can use while staying within her budget will be:

48 + 3g = 60.60

3g = 60.60 - 48

3g = 12.60

g = 12.60/3

= 4.20

The number of gigabytes of data is 4.20g

4 0
2 years ago
Read 2 more answers
1/3( x - 10 ) = -4 solve for x​
-BARSIC- [3]

the answer for x is 1 because 1/3 should be multiplied by x and x is one

3 0
2 years ago
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Your family takes a trip to the train station. The taxi fare is $17.85. You pay the taxi driver a 18% tip. How much will he get
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Answer:

his tip will be $3.21

Step-by-step explanation:

17.85 times 0.18

multiply and get 3.213

round that to $3.21

3 0
3 years ago
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