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iogann1982 [59]
2 years ago
11

Directions:Use the product rule to simplify the following monomials.

Mathematics
1 answer:
abruzzese [7]2 years ago
3 0

7) Answer = -24x^8y^{11}

\left(8x^4y^2\right)\left(-3x^4y^9\right)

=-8x^4y^2\cdot \:3x^4y^9

=-24x^4y^2x^4y^9

=-24x^8y^2y^9

=-24x^8y^{11}

8) Answer = -30y^6

2y\left(-5\right)y^2\cdot \:3y^3

=-30yy^2y^3

=-30y^{1+2+3}

=-30y^6

9) Answer = -6x^4y^5

\left(-2xy\right)\left(xy\right)\left(3x^2y^3\right)

=-2xyxy\cdot \:3x^2y^3

=-6xyxyx^2y^3

=-6x^4yyy^3

=-6x^4y^5

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Answer: There are 56 boys in the 10th grade

Step-by-step explanation:

Step 1

ratio of boys to girls in the 10th grade is 8 :13

Number of girls= 91

To find the number of boys, we first find the total number of boys and girls in the 10th grade

Step 2

Now the total ratio= 8 +13=21

Number of girls = ratio of girls/ total ratio  x  Total number of students

91=13/ 21  x  Total number of students

Total number of students =21 x 91 / 13  =147

Step 3

Therefore Number of boys =ratio of boys/ total ratio  x  Total number of student

8/21 x 147=56

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Convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
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Answer:

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Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - \frac{\sqrt{3} }{2}

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