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Free_Kalibri [48]
3 years ago
9

Um i have to write here to send the question so here k bye

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Answer:

142

38

Step-by-step explanation:

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What is the simplified form of 12x/900x²y4z6?
zalisa [80]

Answer:

360xy^2|xz^3|

Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}

Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0
2 years ago
How do the mathematical domain and reasonable domain compare
dexar [7]
---
weekly income y:
y = 10x
where x is number of hours worked per week
---
domain: x >= 0 hours
range: y >= 0 dollars
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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3 0
3 years ago
Math question screen shot down below
ser-zykov [4K]

Answer:

11

Step-by-step explanation:

11,16,12,7,23,9,5,5

arrange to least to greatest

5,5,7,9,11 ,12,16,23

2 middle numbers

11+12= 23

23÷2= 11.5

Median is 11

3 0
3 years ago
Read 2 more answers
Which number line represents the solution set for the inequality –4(x 3) ≤ –2 – 2x?
Anna71 [15]

The solution to the inequality expression is x ≥ - 5

<h3>Inequality expressions</h3>

Inequality are expressions not separated by an equal sign. Given the inequality;

–4(x + 3) ≤ –2 – 2x

Expand

-4x - 12  ≤ -2 - 2x

Collect the like terms

-4x + 2x  ≤ -2 + 12

-2x  ≤  10

Divide both sides by -2

-2x/-2  ≤ 10/-2
x ≥ - 5

Hence the solution to the inequality expression is x ≥ - 5

learn more on inequality here: brainly.com/question/24372553

#SPJ1

3 0
2 years ago
for a party, mr. snd mrs. rodriguez made 4 1/2 gallons of fruit punch. how msny quarts of punch did they make? HELP
Alik [6]

Answer:

18 quarts!!!

Step-by-step explanation:

hope this helps!!!!!!!!!!!!!!!!!!

3 0
2 years ago
Read 2 more answers
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