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madreJ [45]
3 years ago
12

The bomb cyclone storm dumped 3 inches of snow per hour in Providence, Rhode Island. How many inches of snow fell during a 12-ho

ur period?
Mathematics
2 answers:
Viktor [21]3 years ago
8 0

Answer:

36

Step-by-step explanation:

earnstyle [38]3 years ago
5 0

Answer:

36

Step-by-step explanation:

3x12=36

12+12=24

add 12 to 24 and it equals 36.

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156 hundreds 3 teens and 8 ones I believe
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Same

Step-by-step explanation:

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Find the distance between the pair of points. give an exact answer, and, where appropiate, and apporximation to two decimal plac
atroni [7]
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  • Product rule of radicals: √ab = √a x √b

Using our two points, we can solve for the distance as such:

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Now our exact answer may be √116, however using the product rule of radicals we can further simplify the radical as such:

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3 years ago
Which expression is a sum of cubes?
erik [133]

we know that

A polynomial in the form a^{3} +b^{3} is called a sum of cubes

so

Let's verify each case to determine the solution

<u>case A)</u> -64x^{6} y^{12} +125x^{16} y^{3}

we know that

-64=-4^{3}

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{16}=x^{15} *x=x*(x^{5})^{3} -------> is not a perfect cube

y^{3}= (y)^{3}

therefore

the case A) is not a sum of cubes

<u>case B)</u> -32x^{6} y^{12} +125x^{16} y^{3}

we know that

-32=-2^{5} -------> is not a perfect cube

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{16}=x^{15} *x=x*(x^{5})^{3} -------> is not a perfect cube

y^{3}= (y)^{3}

therefore

the case B) is not a sum of cubes

<u>case C)</u> 32x^{6} y^{12} +125x^{9} y^{3}

we know that

32=2^{5} -------> is not a perfect cube

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

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y^{3}= (y)^{3}

therefore

the case C) is not a sum of cubes

<u>case A)</u> 64x^{6} y^{12} +125x^{9} y^{3}

we know that

64=4^{3}

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{9}=(x^{3})^{3}

y^{3}= (y)^{3}

Substitute

4^{3}(x^{2})^{3}(y^{4})^{3} +5^{3}(x^{3})^{3}(y)^{3}

(4x^{2}y^{4})^{3} +(5x^{3}y)^{3}

therefore

<u>the answer is</u>

64x^{6} y^{12} +125x^{9} y^{3} is a sum of cubes

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