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ANTONII [103]
2 years ago
11

What is the simplest form of

Mathematics
1 answer:
steposvetlana [31]2 years ago
4 0

Answer:

The simplest form of \sqrt[3]{27a^{3}b^{7}} is

3ab²(∛b)

Step-by-step explanation:

The given term is:

\sqrt[3]{27a^{3}b^{7}}

To convert it into its simplest form, we will apply simple mathematical rules to simplify the power of individual terms.

\sqrt[3]{27a^{3}b^{7}}\\= \sqrt[3]{3^{3} a^{3}b^{7}}\\= \sqrt[3]{3^{3}a^{3}b^{6}b}\\= 3^{3/3} a^{3/3}b^{6/3}b^{1/3}}\\= 3ab^{2}(\sqrt[3]{b})

While simplifying the term, we basically took the cube root of individual terms. The powers cancelled out cube root for some terms. In the end, we were left with the simplest form of the expression.

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Ok, now i need help from 1-5, 20 points
ratelena [41]

1 = 8

2=3+8

3=12

4=9

8 that's it bra



5 0
3 years ago
PLZ HELP ITS BEING TIMED PLZ SOMEONE ANSWER!!!!!
Eduardwww [97]

Answer: First, you identify how many rises and runs the line is from each point on a graph (intersection). Then you take the y's and the x's and do y2-y1/x2-x1 to get the slope!

6 0
2 years ago
Please help me with this.
OLga [1]

Swapping rows alters the sign of the determinant:

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}

Multiplying a single row by a scalar scales the determinant by the same amount:

\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}

Then

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}

8 0
1 year ago
write the slope-intercept form of the line that passes through the point (1,0) and is parallel to x-y=7. type your answer in the
Brilliant_brown [7]
  • Parallel lines have the same slope but different y intercepts.
  • turn x-y=7 into slope intercept form by isolating y which would be -y=-x+7
  • divide the equation by -1 in order to make y positive and you get y=x-7
  • So rewrite the equation with the same slope but this time solving for b
  • y=x+b
  • plug in your coordinates
  • 0=1+b
  • subtract 1 from both sides
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7 0
2 years ago
Read 2 more answers
A zealous geologist is sponsoring a contest in which entrants have to guess the age of a shiny rock. He offers these clues: the
nataly862011 [7]

Answer:

The total number of possibilities are 60.

Step-by-step explanation:

Given:

There are 6 digits and 3,7,9 are odd ones.

To Find:

How many possibilities are there for the rock's age

Solution:

Here condition is that number should start with odd digit

so there 3 number only as odd(3,7,9)

So it leaves 3 repeating  numbers i.e.2

So permutation of 5 numbers with 3 odd numbers

So possible arrangement will be

nPr

n=5 ,r=3

So 5P3=5!/3!

And finally for all possibilities as

=3*(5!/3!)

=3*(20)

=60

3 0
3 years ago
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