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3 years ago

In the diagram below,

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

3 0

Answer:

fjggjdig

gghfhh

Step-by-step explanation:

vjguitjttif

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Please help me!!! 30 minutes left

Lesechka [4]

Option D:

$\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Solution:

Given expression:

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

To find which expression is equivalent to the given expression.

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $(ab)^m=a^mb^m$

$$=\frac{5^3 a^3 b^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $\frac{1}{a^{m}}=a^{-m}, \quad \frac{1}{a^{-m}}=a^{m}$

$$=\frac{125 a^3 b^{3}a^{6} b^{7}}{30 }$

$$=\frac{125 a^3 a^{6} b^{3} b^{7}}{30 }$

Using exponent rule: $a^{m} \cdot a^{n}=a^{m+n}$

$$=\frac{125 a^{3+6} b^{3+7} }{30 }$

$$=\frac{125 a^{9} b^{10} }{30 }$

Divide both numerator and denominator by the common factor 5.

$$=\frac{25 a^{9} b^{10} }{6 }$

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}=\frac{25 a^{9} b^{10} }{6 }$

Therefore, $\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Hence Option D is the correct answer.

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3 years ago

How do you turn a fahrenheit to kelvins??

densk [106]

<span>1.Subtract 32 from the Fahrenheit temperature.
2.Multiply this number by 5.
3.Divide this number by 9.
<span>4.Add 273.15 to this number.</span></span>

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3 years ago

A line that includes the point (4, 7) has a slope of 3. What is its equation in slope-intercept form?

vampirchik [111]

Answer: slope intercept is solve for y

Step-by-step explanation:

point slope

y-y1=m(x1,y1) and the slope is m

given

slope=3

a point i (4,7)

y-7=3(x-4)

solve for y

y-7=3x-12

add 7 both sides

y=3x-5 is slope intercept form

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Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

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Citrus2011 [14]

Answer:

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Step-by-step explanation:

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