2 years ago

Write 4270000 in scientific notation

Mathematics

1 answer:

notka56 [123]2 years ago

7 0

4.27x10*6
i cant get it to come up properly but its to the power of 6

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Factor x3y6 + 27z42. (xy3 + 3z39)(x2y9 – 3xy3z39 + 9z1,521) (xy3 + 3z39)(x2y6 – 3xy3z39 + 9z78) (x3y6 + 27z42)(x6y12 – 27x3y6z42

Licemer1 [7]

Answer:

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})$

Step-by-step explanation:

Given

$x^3y^6 + 27z^{42$

Required

Factor

Express both terms as a cube

$x^3y^6 + 27z^{42} = (xy^2)^3 + (3z^{14})^3$

Let

$a =(xy^2)$

$b = (3z^{14})$

So:

$x^3y^6 + 27z^{42} = a^3 + b^3$

Using sum of cubes:

$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

So:

$x^3y^6 + 27z^{42} = (a + b)(a^2 - ab + b^2)$

Substitute in, values of a and b

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})((xy^2)^2 - (xy^2)*(3z^{14}) + (3z^{14})^2)$

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})$

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2 years ago

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Can a sequence be both arithmetic and geometric at the same time

erastova [34]

Yes, it can both arithmetic and geometric.

The formula for an arithmetic sequence is: a(n)=a(1)+d(n-1)

The formula for a geometric sequence is: a(n)=a(1)*r^(n-1)

Now, when d is zero and r is one, a sequence is both geometric and arithmetic.

This is because it becomes a(n)=a(1)1 =a(1). Note that a(n) is often written an

It can easily observed that this makes the sequence a constant.

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3 years ago

You earn 90% on a quiz. If you earned 36 points, how many points was the quiz worth?

tatiyna

40 questions
Reasoning: 36/40=0.9

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If 4m=10 what is the value of 12m

san4es73 [151]

If i'm correct the answer would 12m=30, hope i was able to help out.

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