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3 years ago

9

Who revolutionized science by publishing his argument that mathematics was the underlying rule of the physical nature of all thi

ngs?

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer:

Sir Isaac Newton revolutionised science when he published his argument

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33 is 55% of what number

9966 [12]

Because percentage is the numerator divided by the denominator of a fraction times one-hundred, we can set up this equation:

$\frac{33}{x} =0.55$

Now, we cross multiply.

$33= 0.55x$

Next, we divide both sides by 0.55 to get x by itself.

x = 60

So, 33 is 55% of 60.

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3 years ago

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How many solutions can be found for the equation 2 + x = 6?

White raven [17]

I think it's "B"?(6-2=x)

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3 years ago

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:

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

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3 years ago

Hi! I need Help <br> What is the answer to (-37) - (+14)<br> Negative 37 minus positive 14

Dimas [21]

Answer: -51 my friend

Step-by-step explanation:

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3 years ago

Calculate the volume of the solid. Round answer to the nearest hundredth.

alex41 [277]

Answer:

191.1 cm^3

Step-by-step explanation:

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3 years ago

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