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son4ous [18]
3 years ago
13

A black bear has a tail 190 mm long.How many cm is that?

Mathematics
2 answers:
GarryVolchara [31]3 years ago
7 0

Answer:19

Step-by-step explanation:

Divide 190 by 10

melomori [17]3 years ago
5 0

Answer:

The black bear's tail is 19 centimetres long

Step-by-step explanation:

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Orthogonally diagonalize the​ matrix, giving an orthogonal matrix P and a diagonal matrix D. To save​ time, the eigenvalues are
alexgriva [62]

Answer:

P=\left(\begin{array}{ccc}-\frac{2}{3}&-\frac{2}{3}&\frac{1}{3}\\\frac{1}{\sqrt{5}}&0&\frac{2}{\sqrt{5}}\\-\frac{4}{3\sqrt{5}}&\frac{\sqrt{5}}{3}&\frac{2}{3\sqrt{5}}\end{array}\right)

Step-by-step explanation:

It is a result that a matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.  According with the data you provided the matrix should be

A=\left(\begin{array}{ccc}-9&-4&2\\ -4&-9&2\\2&2&-6\\\end{array}\right)

We know that its eigenvalues are \lambda_{1}=-14, \lambda_{2}=-5, where \lambda_{2}=-5 has multiplicity two.

So if we calculate the corresponding eigenspaces for each eigenvalue we have

E_{\lambda_{1}=-14}=\langle(-2,-2,1)\rangle,E_{\lambda_{2}=-5}=\langle(1,0,2),(-1,1,0)\rangle..

With this in mind we can form the matrices P, D that diagonalizes the matrix A so.

P=\left(\begin{array}{ccc}-2&-2&1\\1&0&2\\-1&1&0\\\end{array}\right)

and

D=\left(\begin{array}{ccc}-14&0&0\\0&-5&0\\0&0&-5\\\end{array}\right)

Observe that the rows of P are the eigenvectors corresponding to the eigen values.

Now you only need to normalize each row of P dividing by its norm, as a row vector.

The matrix you have to obtain is the matrix shown below

3 0
4 years ago
Translate this phrase into a mathematic expression: “A number less than 7”
horsena [70]

Answer:

7 - ?

Step-by-step explanation:

Write and expression like and you should have a right answer. Hope this helps and good luck :)

5 0
3 years ago
Read 2 more answers
After 7 years, Amber earned $1575 in simple interest from a cd into which he initially deposited $6000. What was the annual inte
ankoles [38]
\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$1575\\
P=\textit{original amount deposited}\to& \$6000\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &7
\end{cases}
\\\\\\
1575=(6000)(r)(7)\implies \cfrac{1575}{(6000)(7)}=r\implies 0.0375=r
\\\\\\
r\%=0.0375\cdot 100\implies r=\stackrel{\%}{3.75}
4 0
3 years ago
How to find the area of a square whose perimeter is 7 meters​
yKpoI14uk [10]

Answer:

A≈3.06

P Perimeter  

7

Using the formulas

A=a2

P=4a

Solving forA

A=1

16P2=1

16·72=3.0625

8 0
3 years ago
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Which graph represents a linear function?
irakobra [83]

Answer:

On a coordinate plane, a line has a negative slope

Step-by-step explanation:

A linear function is a function whose graph is a straight line. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function.

5 0
3 years ago
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