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tatuchka [14]
3 years ago
6

Which is equivalent to 243 2/5 ? 3 6 9 12

Mathematics
2 answers:
Vlada [557]3 years ago
5 0

Answer:

The answer is 9

Step-by-step explanation:

we have

(243)^{\frac{2}{5}}

we know that

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

so

(243)^{\frac{2}{5}}=\sqrt[5]{243^{2}}

Remember that

243=3^{5}

Substitute

\sqrt[5]{243^{2}}=\sqrt[5]{(3^{5})^{2}}\\ \\= \sqrt[5]{(3^{10})}\\ \\=3^{\frac{10}{5}}\\ \\= 3^{2} \\ \\=9

NeTakaya3 years ago
3 0
9 Good luckkkkkkkkkkkkkkkkkkkkkkkkkkkkk

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Hey, can I please get some help with this? It shouldn’t be too hard, thanks!
Fynjy0 [20]

Answer:

  • (x -3)(x+3)(2x +1)
  • (x -1)(x +1)(x +3)
  • (2x -1)(2x +1)(x -4)

Step-by-step explanation:

A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)

__

B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)

__

C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)

_____

In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).

_____

The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.

7 0
3 years ago
Lg(5x+10)+2lg3=1+lg(4x+12)<br>need them fast with steps
pashok25 [27]

Answer:

x=6

Step-by-step explanation:

log(5x+10)-log(4x+12)=1-2log(3)

log(5x+10/4x+12)=1-2log(3)

log(5x+10/4x+12)=log(10)+log(3^-2)

log(5x+10/4x+12)=log(10×3^-2)

log(5x+10/4x+12)=log(10×1/9)

log(5x+10/4x+12)=log(10/9)

5x+10/4x+12=10/9

9(5x+10)=(4x+12)10

45x+90=40x+120

5x=30

x=6

if you like my answer. Please mark me as brainliest

5 0
3 years ago
How much water will be in each bottle if the total amount of water is equally divided among the bottles?
Tems11 [23]

Answer:

D

Step-by-step explanation:

add everything up devide by 3

4 0
3 years ago
Read 2 more answers
The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the funct
Mazyrski [523]

Remember that the area of a rectangle is the length of the rectangle multiplied by the width of the rectangle.


In this case, we could say (where A(x) is the area of the rectangle):

A(x) = L(x) \cdot W(x)


Substituting the values the problem gave us for L(x) and W(x), we can find the formula for A in terms of x, which is:

A(x) = (5x) \cdot (2x^2 - 4x + 13) = (10x^3 - 20x^2 + 65x)


The formula for the area of the rectangle would be A(x) = 10x³ - 20x² + 65x.

3 0
3 years ago
Read 2 more answers
4. The data shows the number of siblings each student in a 9th-grade class has.
antiseptic1488 [7]

Answer:

The correct option is Mean and standard deviation.

Step-by-step explanation:

The data set provided, arranged in ascending order is:

S = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 4}

Now, it is provided that Macy was absent when the data was collected and the class guessed she had 4 siblings. When  she returned, they found out she actually has 9 siblings.

So, the new data set is:

X = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 9}

The mean of a data set is the average value representing the entire data.

\bar X=\frac{1}{n}\sum X_{i}

The median is the middle value of the data set.

The inter-quartile range is the difference between the first and the third quartile.

The standard deviation is the value that represents how dispersed the data values are.

SD=\sqrt{\frac{1}{n}\sum (X_{i}-\bar X)^{2}}

From all the above statistic, the mean and standard deviation are the only ones that uses all the observations in the data set to compute their value.

So, on changing one of the 4s by a 9, the set of measures that will be affected are the mean and standard deviation.

Thus, the correct option is Mean and standard deviation.

3 0
3 years ago
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