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Anton [14]
3 years ago
10

Need help on this Please answer ASAP

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Domain:\ x\neq0\\\\\dfrac{1}{x}+\dfrac{1}{3x^2}=\dfrac{1}{3x}\\\\\dfrac{1\cdot3x}{x\cdot3x}+\dfrac{1}{3x^2}=\dfrac{1}{3x}\\\\\dfrac{3x}{3x^2}+\dfrac{1}{3x^2}=\dfrac{1}{3x}\\\\\dfrac{3x+1}{3x^2}=\dfrac{1}{3x}\qquad\text{cross multiply}\\\\(3x)(3x+1)=(3x^2)(1)\qquad\text{use distributive property}\\\\(3x)(3x)+(3x)(1)=3x^2\\\\9x^2+3x=3x^2\qquad\text{subtract}\ 3x^2\ \text{from both sides}\\\\6x^2+3x=0\\\\3x(2x+1)=0\iff3x=0\ \vee\ 2x+1=0\\\\3x=0\qquad\text{divide both sides by 3}\\x=0\notin Domain

2x+1=0\qquad\text{subtract 1 from both sides}\\\\2x=-1\qquad\text{divide both sides by 2}\\\\\boxed{x=-\dfrac{1}{2}}\to\boxed{A)}

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Answer:

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Hope that helps. x

Step-by-step explanation:

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nikdorinn [45]
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3 years ago
In circle Q with m/PQR = 74 and PQ = 8 units find area of sector PQR. Round
VladimirAG [237]

A circle is a curve sketched out by a point moving in a plane. The area of the sector PQR is 41.346 units².

<h3>What is a circle?</h3>

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given the radius of the circle is 8 units, while the angle of the sector is 74°. Therefore, the area of the sector is,

Area of the sector = π×R²×(74/360)

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Hence, the area of the sector PQR is 41.346 units².

Learn more about Circle:

brainly.com/question/11833983

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4 0
2 years ago
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Anna [14]

Answer:

See explanation below

Step-by-step explanation:

It depends on what null hypothesis is under consideration.

One of the most common null hypothesis that are subject of study in a given statistical model is <em>the mean</em> predicted by the model.

In this case, the scientist probably observed that the mean of tusk lengths she obtained in a sample did not match the one predicted with the H-W equation.

So, she decided to perform a statistical study by collecting random samples and measuring the tusk lengths to determine a new possible mean and contrast it against the one predicted by the H-W equation.

<em>Let's call M the mean predicted by the H-W equation, and S the mean obtained by the scientist. </em>

If M different of S and the p-value is 0.021, that means that <em>there is at most 2.1% of probability that the difference between M and S could be due to a random sampling error. </em>

It should be kept in mind that the p-value does not represent the probability that the scientist is wrong.

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