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Scorpion4ik [409]
3 years ago
12

Simplify each cube root expression. Describe the simplified form of the expression as rational or irrational. In your final answ

er, include all of your work.
3 square root of 81


3 square root of -64
Mathematics
1 answer:
Margarita [4]3 years ago
4 0

Answer:

  • \sqrt[3]{81}=3\sqrt[3]{3}
  • \sqrt[3]{-64}=-4

Step-by-step explanation:

a)

\sqrt[3]{81}=\sqrt[3]{3^4}=\sqrt[3]{(3^3)(3)}=3\sqrt[3]{3}

This is irrational.

__

b)

\sqrt[3]{-64}=\sqrt[3]{(-4)^3}=-4

This is rational.

_____

Please be aware that 3 square root of 81 is not the same as cube root of 81.

3\sqrt{81}\ne\sqrt[3]{81}

You can call a cube root what it is.

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Find the mean of the data
Triss [41]
<h3>Answer:  6.282</h3>

Explanation:

Refer to the table below. I've added a third row where I multiplied each x value with its corresponding frequency value f. We can refer to this row as the xf row.

Once we know the xf values, we add them up to get 245.

We'll then divide that result over the sum of the frequency values (add everything in the second row). The sum of the frequency values is 39.

So the mean is approximately: 245/39 = 6.282051 which rounds to 6.282

Notice that this mean value is fairly close to the x value which has the highest frequency.

5 0
3 years ago
What is the answer?​
andreev551 [17]

\bf \begin{array}{cll} \cfrac{1}{3}\\\\\cline{1-1}\\ \cfrac{1}{9}~~\cfrac{1}{9}~~\cfrac{1}{9} \end{array}\qquad \implies\qquad \cfrac{1}{3}=\cfrac{1+1+1}{9}\implies \cfrac{1}{3}= \cfrac{3}{9} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{cll} \cfrac{1}{4}\\\\\cline{1-1}\\ \cfrac{1}{8}~~\cfrac{1}{8} \end{array}\qquad \implies\qquad \cfrac{1}{4}=\cfrac{1+1}{8}\implies \cfrac{1}{4}= \cfrac{2}{8}

7 0
3 years ago
Find the missing amount)
Akimi4 [234]

Answer: 182 gallons

find 30% of 260 by multiplying 260 by 30%

260 x .3 = 78

30% of 260 = 78

Subtract 78 from 260 to get original amount

260 - 78 = 182

Original is 182 gallons

ps. this is an actual impossible question because you need to know the original amount to find what 30% of it is. What i found was a 30% decrease of 260 not a 30% increase of the original. With that being said I think this is what you want?

8 0
3 years ago
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Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are
dimaraw [331]
Correct answer:

"<span>If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle"

the Pythagorean theorem states that in a right triangle, the sum of the squares of the shortest sides is equal to the square of the largest side, the hypotenuse. 

Also, 
If we have a triangle with side lengths a, b and c, where a and b are the shortest, and "a squared plus b squared = c squared" then the triangle is a right triangle.

 </span>
4 0
3 years ago
Read 2 more answers
How many 1/6 pieces are there in 3/6<br>​
dmitriy555 [2]

Answer:

there are 3 1/6 pieces

Step-by-step explanation:

since 3 x 1/6=3/6.

another explanation:

(3/6)/(1/6)=(3/6) x (6/1) since you multiply by inverse when dividing fractions. Then, (3/6) x (6/1) = 18/6, which equals 3.

8 0
3 years ago
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