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ANTONII [103]
3 years ago
11

What is the simplest form of

Mathematics
1 answer:
steposvetlana [31]3 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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A diver’s elevation is −30 feet relative to sea level. She dives down 12 feet. What is her elevation after the dive
nignag [31]
I think it is -42 Your welcome
7 0
3 years ago
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HELP please i'll give brainliest I only have until 3 to finish this
Ivahew [28]

Answer:

B

Step-by-step explanation:

The ratios are 2:1

In the table it shows 4:2, 8:x, y:6, 20:z

To find if the ratios are equivalent we would need to plug in

Once plugging in answer B we get 4:2, 8:4, 12:6, 20:10 which would all equate to 2:1

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3 years ago
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7.
liraira [26]

Answer:

A geometric series has a positive common ratio r. The series has a sum to infinity of 9 and the

sum of the first two terms is 5. Find the first four terms of the series.

Step-by-step explanation:

A geometric series has a positive common ratio r. The series has a sum to infinity of 9 and the

sum of the first two terms is 5. Find the first four terms of the series.

8 0
3 years ago
What is the least common multiple of 8 and 10
Lynna [10]

40 is your answer. Because, you need the lowest multiple so we have to find it by making out a chart of their multiples

8, 16,24,32,40

10,20,30,40

The first same multiple they make is 40

3 0
3 years ago
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Y<br> 45°<br> 30°<br> N<br> 17<br> I need help pls
melisa1 [442]

Answer:

x=29.4

Step-by-step explanation:

To help find the sides of a triangle, I use SOHCAHTOA.

SOH - CAH - TOA

S=O/H (Sine=\frac{opposite}{hypotenuse} )

C=A/H (Cosine=\frac{adjacent}{hypotenuse} )

T=O/A (Tangent =\frac{opposite}{adjacent} )

Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.

So it would be tangent (tan).

opposite = 17

adjacent = 30°

Plug these numbers into the calculator and you should get your answer.

\frac{17}{tan(30)} = 29.44486372...

x=29.4

Try to do <em>y</em> on your own and let me know if you have any questions!

Also correct me if I'm wrong on anything.

Hope this information helps!

4 0
3 years ago
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