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andrew11 [14]
2 years ago
14

What is the quotient of StartFraction negative 8 x Superscript 6 Baseline Over 4 x Superscript negative 3 Baseline EndFraction?

StartFraction x Superscript 9 Baseline Over 32 EndFraction 4x9 Negative StartFraction 12 Over x squared EndFraction –2x9
Mathematics
1 answer:
scZoUnD [109]2 years ago
8 0

Answer:

Option D.

Step-by-step explanation:

We need to find the quotient of  

\dfrac{-8x^6}{4x^{-3}}

It can rewritten as

\dfrac{-8}{4}\times \dfrac{x^6}{x^{-3}}

-2\times x^{6-(-3)}      [\because \dfrac{a^m}{a^n}=a^{m-n}]

-2x^{6+3}  

-2x^{9}  

The required expression is -2x^{9} .

Therefore, the correct option is D.

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The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width
liraira [26]
Let the width be w, length = 3w and height = 2w

Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7

width = 7 cm
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2 years ago
A retail store owner offers a discount on product A and predicts that, the customers would purchase products B and C in addition
m_a_m_a [10]

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C. Data Mining

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2 years ago
The cost of tuition at Cornell University is 43,000 per year when rounded to the nearest thousand what is the greatest possible
melomori [17]
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3 0
2 years ago
If the data below were represented with a stem-and -leaf plot, a stem of 3 would have how many leaves? 53, 34, 16, 93, 72, 30, 2
Nikitich [7]

Answer:

D) 3

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3 0
2 years ago
A building has an entry the shape of a parabolic arch 74 ft high and 28 ft wide at the base as shown below.
sergiy2304 [10]
The equation of a parabola with vertex at (h,k) is 
y=a(x-h)²+k

vertex isi at (0,0)

y=a(x-0)²+0
y=a(x)²
y=ax²
find a

we see that one point is (14,-74)
x=14 and y=-74

-74=a(14²)
-74=196a
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the equation is 

y= \frac{-37}{98} x^2




6 0
2 years ago
Read 2 more answers
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