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tatuchka [14]
1 year ago
11

Factor out the following by taking out the GCF18cd^2+12c^2d+9cd

Mathematics
1 answer:
Arturiano [62]1 year ago
5 0

The given polynomial is:

18cd^2+12c^2d+9cd

The first step to factor taking out the GCF is to write each term in prime factored form, so:

\begin{gathered} 18cd^2=2\times3\times3\times c\times d\times d \\ 12c^2d=2\times2\times3\times c\times c\times d \\ 9cd=3\times3\times c\times d \end{gathered}

The second step is to identify the factors common in all terms, they are: 3xcxd

Finally, factor out the GCF:

3cd(6d+4c+3)

The answer is above

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What is the to m(3 +m)
ella [17]

Answer:

3m+m^2

Step-by-step explanation:

3 0
3 years ago
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Is this equation true, false or open? 9p+8=10p+7
il63 [147K]

9p+8=10p+7

9p - 10p = 7 - 8

-p = -1

p = 1

TRUE


6 0
4 years ago
How do I simplify (6^-2)(3^-3)(3 x 6)^4? Not the answer, just the simplified expression.
Mazyrski [523]

The simplification form of the provided expression is 108 after applying the integer exponent properties.

<h3>What is integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an expression:

=\left(6^{-2}\right)\left(3^{-3}\right)\left(3\:\cdot \:6\right)^4

=\dfrac{1}{36}\cdot \dfrac{1}{27}\left(3\cdot \:6\right)^4

=\dfrac{1}{36}\cdot \dfrac{1}{27}\cdot \:81\cdot \:1296

=\dfrac{1}{36}\cdot \dfrac{1}{27}\cdot \dfrac{104976}{1}

=\dfrac{104976}{972}

= 108

Thus, the simplification form of the provided expression is 108 after applying the integer exponent properties.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

5 0
2 years ago
PLEASE HELP!!
Elena-2011 [213]
For this case we have the following equation:
 S = 0.159 + 0.118logD
 Substituting S = 0.2 we have:
 0.2 = 0.159 + 0.118logD
 From here, we clear the value of D.
 We have then:
 0.2 - 0.159 = 0.118logD
 logD = (0.2 - 0.159) / (0.118)
 logD = 0.347457627
 10 ^ (logD) = 10 ^ 0.347457627
 D = 10 ^ (0.347457627)
 D = 2.23 mm
 Answer:
 
The average diameter, D, of the sand particles for a beach is:
 
D = 2.23 mm
5 0
3 years ago
Ana is having dinner at a restaurant. Her bill before adding sales tax and tips is $23.20. The restaurant add the sales tax of 7
Aneli [31]
Start by finding 7% of the $23.20:

\frac{7}{100} *23.20=1.624

Now add this to $23.20:

23.20+1.624=24.824

Now, let's find 18% of this new total with tax to find the tip amount:

\frac{18}{100} *24.824=4.46832

This is the tip amount. And finally, let's add this to the 24.824:

24.824+4.46832=29.29232

Not sure if you were given any instructions about rounding, but Ana's cost will be around $29.29.

Hope this helps.
4 0
3 years ago
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