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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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Hello, this is my last attempt to get it right so if you can please help me​
irga5000 [103]

Answer:

138°

Step-by-step explanation:

x+115°=6x° [ being vertically opposite angle]

or, 115=6x - x

or, 115=5x

or, 115/5 =x

or, x=23

Then,

x+115°

= 23+115°

=138°

<em>Mark</em><em> </em><em>me</em><em> </em><em>brainliest</em><em> </em><em>plz</em><em>.</em>

8 0
2 years ago
Read 2 more answers
The gross domestic product (GDP) of a certain country, which measures the overall size of the economy in billions of dollars, ca
DiKsa [7]

Answer:

The estimated GDP in 2007 is 12782 billion dollars.

The estimated GDP in 2011 is 15010 billion dollars.

The estimated GDP in 2012 is 15567 billion dollars.

Step-by-step explanation:

Consider the provided function.

g(y) = 557y +8883

Where y = 10 corresponds to the year 2010.

Part (b) Estimate the GDP (to the nearest billion dollars) in 2007.

If y = 10 corresponds to the year 2010 then y = 7 corresponds to the year 2007.

Substitute the value of y = 7 in the provided function.

g(y) = 557(7) +8883

g(y) = 3899+8883

g(y) = 12782

Hence, the estimated GDP in 2007 is 12782 billion dollars.

Part (b) Estimate the GDP (to the nearest billion dollars) in 2011.

If y = 10 corresponds to the year 2010 then y = 11 corresponds to the year 2011.

Substitute the value of y = 11 in the provided function.

g(y) = 557(11) +8883

g(y) = 6127+8883

g(y) = 15010

Hence, the estimated GDP in 2011 is 15010 billion dollars.

Part (C) Estimate the GDP (to the nearest billion dollars) in 2012.

If y = 10 corresponds to the year 2010 then y = 12 corresponds to the year 2012.

Substitute the value of y = 12 in the provided function.

g(y) = 557(12) +8883

g(y) = 6684+8883

g(y) = 15567

Hence, the estimated GDP in 2012 is 15567 billion dollars.

4 0
3 years ago
Joseph gives a math test to all the students in a middle school and notices that taller students have higher scores. He conclude
MariettaO [177]

Answer:

D) justified, assuming that the test was given fairly

7 0
3 years ago
The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the​ length, find the
Paul [167]
So.. hmm notice the picture here

we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59

we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2

now.. use the pythagorean theorem
\bf c^2=a^2+b^2\implies \qquad &#10;\begin{cases}&#10;a=2w+59\\&#10;b=w\\&#10;c=(2w+59)+2\to 2w+61&#10;\end{cases}&#10;\\\\\\&#10;(2w+61)^2=(2w+59)^2+(w)^2&#10;\\  \qquad\qquad \uparrow\qquad \qquad\qquad \qquad \uparrow  \\&#10;\textit{expand using binomial theorem, or FOIL}

you'd end up with a quadratic, after simplifying, solve for "w"

7 0
3 years ago
Please help! 20 points + brainliest
klemol [59]

For the first one we divide every element by sqrt3

we get

q+2/sqrt3 =sqrt5/sqrt3

q=(sqrt5-2)/sqrt3

q=sqrt3*sqrt5-2*sqrt3/3

q=sqrt15-2sqrt3/3

which is the third option

For the second one

sqrt(2y-5) +4=8

first we move the 4 to the right

sqrt(2y-5)=4

we remove the square root by bringing to the power of two

2y-5=16

2y=21

y=21/2

y=10 1/2

third option

7 0
3 years ago
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