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3 years ago

Which situation is represented by n + 12 = 25?

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Answer:

Step-by-step explanation:

The height of a rectangle is 12 units. The rectangle has an area greater than 25 square units. What are the possible values for the base of the

rectangle, n?

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Use Fermat's Little Theorem to determine 7^542 mod 13.

m_a_m_a [10]

$a^{p-1} \equiv 1 \pmod p$ where $p$ is prime, $a\in\mathbb{Z}$ and $a$ is not divisible by $p$ .

$7^{13-1}\equiv 1 \pmod {13}\\7^{12}\equiv 1 \pmod {13}\\\\542=45\cdot12+2\\\\7^{45\cdot 12}\equiv 1 \pmod {13}\\7^{45\cdot 12+2}\equiv 7^2 \pmod {13}\\7^{542}\equiv 49 \pmod{13}$

4 0

3 years ago

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PLEASE AND THANK YOU CONFUSED ON THIS

ICE Princess25 [194]

After staring at this for a few seconds, I think the equation

$-5\sqrt{10}\cdot\sqrt{15}=[1]\sqrt{[2]}$

is asking you to simplify the left hand side so that it has a form matching the right hand side, and [1] and [2] are placeholders. My guess is that they're supposed to be integers.

Notice that

$\sqrt{10}=\sqrt{5\cdot2}=\sqrt5\cdot\sqrt2$

$\sqrt{15}=\sqrt{5\cdot3}=\sqrt5\cdot\sqrt3$

$\implies\sqrt{10}\cdot\sqrt{15}=(\sqrt5)^2\cdot\sqrt2\cdot\sqrt3=5\sqrt{2\cdot3}=5\sqrt6$

Then multiplying by -5, we have

$-5\sqrt{10}\cdot\sqrt{15}=-25\sqrt6$

so I believe [1] = -25, and [2] = 6.

5 0

3 years ago

Solve the inequality 7y-34 ≤ 8

Vlad1618 [11]

Answer:

Explanation: start by adding 34 to both sides to make the variable stand alone giving you
7y is greater than or equal to 42
Then divide 7 into both sides to give you the answer of
Y=6

8 0

3 years ago

Identify square root of 2 as either rational or irrational, and approximate to the tenths place.

Artist 52 [7]

Definitely irrational, and I'd say 1.4

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3 years ago

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Analyze the decimal number 8.46 and determine the value of each digit.

AURORKA [14]

Answer:

8 units, 4 tenths and 6 hundredths

Step-by-step explanation:

The decimal number 8.46 can be expressed as following

The number at unit place is 8

The number at tenth place is 4

The number at hundredth place is 6

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3 years ago