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3 years ago

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Mathematics

1 answer:

faltersainse [42]3 years ago

8 0

I think it is 4 cause I love u

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HELLLPPPPPPPP PLEASEEE use the image

Harrizon [31]

Answer:

20 2/3 feet

Step-by-step explanation:

7 3/4 * 2 2/3 = 20 2/3

Convert into improper fraction..

= 31/4 * 8/3

...

Solve equation...

= 20 2/3

The area of the garden is 20 2/3.

5 0

3 years ago

Read 2 more answers

A file that is 278 megabytes is being downloaded. If the download is 19.9% complete, how many megabytes have been downloaded? Ro

noname [10]

Answer:

55.3

Step-by-step explanation:

19.9% of 278 = 55.322

55.322 rounded to the nearest tenth = 55.3

8 0

4 years ago

Isabel is making lemonade for a party with 12 guests. She wants to make equal servings that are at least 2 cups each. She makes

JulsSmile [24]

1 quart = 4 cups
7 quarts = 28 cups

1 guest needs 2 cups
12 guests need 24 cups

She has 28 and needs 24, yes there is enough

7 0

3 years ago

Read 2 more answers

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

The graph from the US Department of Agriculture shows the growth of farmers markets in the United States. What was the first yea

Helen [10]

The answer is C.) 2002
The graph shows that the previous years have been under that, the number of markets is shown on the y axis

3 0

3 years ago