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dlinn [17]
3 years ago
10

Change this radical to an algebraic expression with fractional exponents 3√a

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

\bf ~\hspace{7em}\textit{rational exponents}
\\\\
a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n}
~\hspace{10em}
% rational negative exponent
a^{-\frac{ n}{ m}} \implies
\cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\sqrt[3]{a}\implies \sqrt[3]{a^1}\implies a^{\frac{1}{3}}

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PLEASEEEEEEEE HELP ME TY SO MUCH LOVE YOUUU HAVE A GREEAT DAYYYY
Vitek1552 [10]

Answer:

should have 3.5 for the first one ::))

Step-by-step explanation:

8 0
3 years ago
Darin randomly selects a marble from a jar that contains only red and green marbles. Which of these could be the probability tha
Luden [163]

Answer:

E

Step-by-step explanation:

There are both red and green marbles in the jar. The answer cannot be A or D because that would mean that there's 1.14% or 1.04% green marbles. But we know that there's less than that in the and bag. And there are also red marbles. B and F do not work because there can't be a negative amount of marbles in the bag.

8 0
3 years ago
The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10
cestrela7 [59]

Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.

μ =2000, σ =100

We have to find z score for income $2100 i.e x=2100

Z = \frac{x-mean}{standard deviation}

= \frac{2100 - 2000}{100}

Z = 100/100

Z = 1

The z score for income $2100 is 1

6 0
3 years ago
Given that tan θ ≈ −0.087, where 3 2 π < θ < 2 , π find the values of sin θ and cos θ.
elena-s [515]

Answer:

  • sin θ ≈ -0.08667
  • cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

  sin(-0.08678 radians) ≈ -0.08667

  cos(-0.08678 radians) ≈ 0.99624

_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

  \cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}

That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

4 0
3 years ago
How do you find the domain of a function?
emmasim [6.3K]
Domain of the function is x in order pair for example (2,3) 2 is the domain
6 0
3 years ago
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