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Mila [183]
3 years ago
7

What is the cube root of -1000p^12q^3

Mathematics
2 answers:
Umnica [9.8K]3 years ago
7 0
∛(<span>-1000p^12q^3) 
= -10p^4 q

Hope it helps</span>
iragen [17]3 years ago
7 0

Answer:

-10p^4q

Step-by-step explanation:

Using the exponent rules:

\sqrt[n]{a^n} = a

\sqrt[3]{-1} = -1

To find the cube root of :

-1000p^{12}q^3

then;

\sqrt[3]{-1000p^{12}q^3}

We can write :

1000 = 10 \cdot 10 \cdot 10 = 10^3

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

then;

\sqrt[3]{-10^3 \cdot (p^4)^3 \cdot q^3}

Apply the exponent rules:

-10 \cdot p^4 \cdot q

⇒-10p^4q

Therefore, the cube root of -1000p^{12}q^3 is, -10p^4q

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6)
Rashid [163]

Answer:

Larger rocket: 36 kiloliters

smaller rocket: 24 kiloliters

Step-by-step explanation:

Lets assign the letters: "L" to the number of kiloliters the "Larger" rocket gets, and "S" to the number of kiloliters that the "Smaller" rocket gets.

We can create two equations from the words given in the problem:

First equation: <em>A total of 60 kiloliters is to be used for "L" plus "S"</em>:

which gives us: L+S=60

Next equation comes from the words: "<em>The smaller rocket receives 12 kiloliters less than the larger rocket</em>"

which gives us: S=L-12

Now we can use this last equation to replace for the "S" unknown in the first equation (and thus reducing the problem to one equation with one unknown (L), that one can easily solve):

L+S=60\\L+(L-12)=60\\2L-12=60\\2L=60+12\\2L=72\\L=\frac{72}{2}\\ L=36

Therefore the amount of fuel that the larger rocket gets is 36 kiloliters.

And using the equation  "S = L - 12" we get: S=36-12=24

Which tells us that the smaller rocket gets 24 kiloliters of fuel.

3 0
3 years ago
Someone PLEASE HELP ME ASAP!!!!
mr_godi [17]
1. 3/-1x + 4y

2. 3/-2x + 5y

3. 3x+2y

4. 3x+1y

I think :)
5 0
2 years ago
____ 2. The set of numbers {9, 8, 7, …}
OverLord2011 [107]

Answer:

A. x > -4

Step-by-step explanation:

< less than

>greater than

the unknown number x is greater than -4

{9, 8, 7, ...} the number is counting down. So the next number is 6.

is 6 greater than -4

or less than -4

therefore

x(which is 6) is greater than -4

x > -4

6 0
3 years ago
How many triangles can be constructed with sides measuring 14 cm, 8 cm, and 5 cm?
babymother [125]
The answer is 3 triangles
6 0
3 years ago
Read 2 more answers
Can you please help me with this.. you only have to do the first one (a)
Studentka2010 [4]
-18 because 2 1/4 as an improper fraction is 9/4 then it -8/1 then multiply which is -72/4 and simplified is -18.
6 0
3 years ago
Read 2 more answers
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