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3 years ago

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Find the quotient: 15x^4y^2-30x^2y^3+45xy/5xy is ____. when this quotient is divided by _the result is x^3y-2xy^2+3

1 answer:

gogolik [260]3 years ago

5 0

$\dfrac{15x^4y^2-30x^2y^3+45xy}{5xy}=\dfrac{15x^4y^2}{5xy}-\dfrac{30x^2y^3}{5xy}+\dfrac{45xy}{5xy}\\\\=3x^{4-1}y^{2-1}-6x^{2-1}y^{3-1}+9=3x^3y-6xy^2+9\\\\=3(x^3y-2xy^2+3)\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\Answer:\\....\underline{3x^3y-6xy^2+9}...\ \ \ ...\underline{3}...$

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3 years ago

Read 2 more answers

What is the opposite reciprocal of 2/3?

Gekata [30.6K]

Answer:

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Step-by-step explanation:

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3 years ago

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In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean sc

Daniel [21]

Answer:

The number is $N =1147$ students

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 281$

The standard deviation is $\sigma = 34.4$

The sample size is n = 2000

percentage of the would you expect to have a score between 250 and 305 is mathematically represented as

$P(250 < X < 305 ) = P(\frac{ 250 - 281}{34.4 } < \frac{X - \mu }{\sigma } < \frac{ 305 - 281}{34.4 } )$

Generally

$\frac{X - \mu }{\sigma } = Z (Standardized \ value \ of \ X )$

So

$P(250 < X < 305 ) = P(-0.9012< Z$

$P(250 < X < 305 ) = P(z_2 < 0.698 ) - P(z_1 < -0.9012)$

From the z table the value of $P( z_2 < 0.698) = 0.75741$

and $P(z_1 < -0.9012) = 0.18374$

$P(250 < X < 305 ) = 0.75741 - 0.18374$

$P(250 < X < 305 ) = 0.57$

The percentage is $P(250 < X < 305 ) = 57\%$

The number of students that will get this score is

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3 years ago

4. The length of a rectangle is sixteen inches less

-BARSIC- [3]

Answer:

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Step-by-step explanation:

l = 3w-16

l-3w = -16

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w = 28 in

l = 96-28 = 68in

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2 years ago