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3 years ago

Which choices listed below indicate that a linear model is not the best fit for a dataset? Choose all that apply.

1 answer:

6 0

The following indicate that a linear model is not the best fit for a dataset:

• Scatterplot shows a curve pattern.
• Residual plot shows no pattern.
• Correlation coefficient is close to 1 or –1.


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If Seth's family plans to drive 220 miles to their vacation spot and they would like to complete the drive in 4 hours, how many

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Read 2 more answers

What is (1+2x3) squared

kobusy [5.1K]

Answer:

$\large\boxed{(1+2x^3)^2=4x^6+4x^3+1}$

Step-by-step explanation:

$(1+2x^3)^2\\\\\bold{METHOD\ 1:}\\\\(1+2x^3)^2=(1+2x^3)(1+2x^3)\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(1)(1)+(1)(2x^3)+(2x^3)(1)+(2x^3)(2x^3)\\\\=1+2x^3+2x^3+4x^6\qquad\text{combine like terms}\\\\=1+4x^3+4x^6$

$\bold{METHOD\ 2:}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(1+2x^3)^2=1^2+2(1)(2x^3)+(2x^3)^2\\\\=1+4x^3+2^2(x^3)^2\\\\=1+4x^3+4x^6$

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2 years ago

Which of the following best explains why tangent StartFraction 5 pi Over 6 EndFraction not-equals tangent StartFraction 5 pi Ove

I am Lyosha [343]

Using the tangent equation and reference angles, it is found that the correct option is given by:

The angles do not have the same reference angle.

<h3>What is the tangent of angle?</h3>

It is given by the sine divided by the cosine. For angles that are not on the first quadrant, we can also finding their tangent by using their reference angles, considering the signs according to the quadrant of the angles.

Angle $\frac{5\pi}{6}$ is on the second quadrant, and the reference angle is:

$\pi - \frac{5\pi}{6} = \frac{6\pi}{6} - \frac{5\pi}{6} = \frac{\pi}{6}$

Angle $\frac{5\pi}{3}$ is on the fourth quadrant, and the reference angle is:

$2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}$

Different reference angles, hence different values for sine and cosine, and different value for the tangent.

Both $\frac{5\pi}{3}$ and $\frac{5\pi}{6}$ are positive measures, hence the only reason is the difference reference angles.

More can be learned about reference angles at brainly.com/question/14910565

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