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nlexa [21]
3 years ago
5

Ordering integers -10 -6 4 6-2 2 ​

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0

Answer:

-10, -6, -2, 2, 4, 6.

Step-by-step explanation:

I assume that you're ordering these numbers from smallest to greatest.

The order would be: -10, -6, -2, 2, 4, 6.

Please mark as brainliest.

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Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

6 0
3 years ago
an initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. how long will it take to double t
tino4ka555 [31]

Answer:

20 years

Step-by-step explanation:

9000/ 100= 900 = 10%

900/2= 450

450 x 2= 900

900 x 10= 9000

Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.

8 0
3 years ago
Which graph represents -
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Answer:

3rd

Step-by-step explanation:

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3 years ago
Dr. Johnson is studying the effects of alcohol consumption on memory. He randomly assigns people to four groups. Three groups co
Hunter-Best [27]

Answer:

Experiment

Step-by-step explanation:

I'm guessing ill look it up later in a dictionary, if its wrong, report the answer.

8 0
3 years ago
9x2 – 16<br> Factoring quadratic eqations
Strike441 [17]

Answer:

Step-by-step explanation:

Both are squares so

(3x - 4)2

6 0
3 years ago
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