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Morgarella [4.7K]
2 years ago
6

Which of the following is irrational?

Mathematics
1 answer:
uysha [10]2 years ago
7 0
Answer
<span>C. root 3 + 8.486</span>
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Write an equation of the line that passes through (6,-1) and is perpendicular to y = 3x +2.
artcher [175]

Answer:

x=-2/3

Step-by-step explanation:

8 0
3 years ago
Use the following basketball team's scores for one season to answer the following question 44,43,42,40,42,45,39,38,18 What's the
Nimfa-mama [501]

Answer:

The mean is 39

The median is 42

Step-by-step explanation:

The median is the best measure of center for the above data because half of the values are less than the median and half of the values are more than the median. It's probably the best measure of center to use in a skewed distribution.

The measure of variability is the range because is the simplest measure of variability to calculate but can be misleading if the dataset contains extreme values.

The variability is 67.25

This is how I did it

8 0
2 years ago
Find the values of λ for which the determinant is zero.
elena55 [62]

Answer:

Determinant are special number that can only be defined for square matrices.

Step-by-step explanation:

Determinant are particularly important for analysis. The inverse of a matrix exist, if the determinant is not equal to zero.

How to find determinant

For a 2×2 matrix

det ( \left[\begin{array}{cc}x&y\\a&z\end{array}\right] ) = xz-ay

For a 3×3 matrix

we first decompose it to 2×2

det (\left[\begin{array}{ccc}k&l&m\\o&p&q\\r&s&t\end{array}\right] )\\\\= k*det(\left[\begin{array}{cc}p&q\\s&t\end{array}\right] ) - l*det(\left[\begin{array}{cc}o&q\\r&t\end{array}\right] ) + m*det(\left[\begin{array}{cc}o&p\\r&s\end{array}\right] ) \\\\=k(pt-sq) - l(ot-rq) + m(os-rp)

Example

Find the values of λ for which the determinant is zero

\left[\begin{array}{ccc}s&-1&0\\-1&s&-1\\0&-1&1\end{array}\right]

det(\left[\begin{array}{ccc}s&-1&0\\-1&s&-1\\0&-1&1\end{array}\right])\\\\= s*det(\left[\begin{array}{cc}s&-1\\-1&1\end{array}\right] ) - (-1)*det(\left[\begin{array}{cc}-1&-1\\0&1\end{array}\right] ) + 0*det(\left[\begin{array}{cc}-1&s\\0&-1\end{array}\right] )\\\\= s(s(1)-(-1*-1)) - (-1)(-1*1 - (-1*0)) + 0\\= s(s - 1)) + 1(-1 + 0) \\=s^{2} -s-1

Equating the determinant to zero

s^{2} -s-1 =0\\

s = \frac{1}{2} * (1 ±5 )

s = 1.61 or -0.61

5 0
3 years ago
Use the elimination method to solve the following equations<br> 5x+7y=9 <br> 10x+14y=18
kolbaska11 [484]

Answer:

Step-by-step explanation:

10x + 14y = 18.....reduce by dividing everything by 2 and u end up with 5x + 7y = 9

notice how both equations are now the same....means same line.....this means ur solution is : INFINITE SOLUTIONS

8 0
3 years ago
"when reading a cd-rom disk 2.8 cm from its center the rotational speed is 726 rpm what is the rpm at 5.2cm
wolverine [178]

9514 1404 393

Answer:

  726 rpm

Step-by-step explanation:

The angular speed is not dependent upon the radius. The rotational speed is 726 rpm at any radius.

5 0
2 years ago
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