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Nikitich [7]
3 years ago
6

−5.010010001... number is rational or irrational or integer or real number?

Mathematics
1 answer:
mojhsa [17]3 years ago
5 0
This is an irrational number because it cannot be written as a fraction
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NEED ANSWER QUICK!!
ivanzaharov [21]

It is given in the question that, Camillo needs 2,400 oz of jelly for the food challenge.

And 48oz of Jelly cost $3.84 .

So 1 oz of Jelly cost

=\frac{3.84}{48}

And 2400 oz of jelly cost

\frac{3.84}{48}*2400 = 192

6 0
3 years ago
Read 2 more answers
Find a formula for the least squares solution of ax=b when the columns of a are orthonormal1 .
neonofarm [45]
Let \mathbf A be a rectangular m\times n matrix with column vectors \mathbf a_1,\ldots,\mathbf a_n, i.e.

\mathbf A=\begin{bmatrix}\mathbf a_1&\cdots&\mathbf a_n\end{bmatrix}

Then we have

\mathbf A^\top=\begin{bmatrix}\mathbf a_1&\cdots&\mathbf a_n\end{bmatrix}^\top

and the product of the two is

\mathbf A^\top\mathbf A=\begin{bmatrix}\mathbf a_1\cdot\mathbf a_1&\mathbf a_1\cdot\mathbf a_2&\cdots&\mathbf a_1\cdot\mathbf a_n\\\mathbf a_2\cdot\mathbf a_1&\mathbf a_2\cdot\mathbf a_2&\cdots&\mathbf a_2\cdot\mathbf a_n\\\vdots&\vdots&\ddots&\vdots\\\mathbf a_n\cdot\mathbf a_1&\mathbf a_n\cdot\mathbf a_2&\cdots&\mathbf a_n\cdot\mathbf a_n\end{bmatrix}

Because the columns of \mathbf A are orthonormal, we have

\mathbf a_i\cdot\mathbf a_j=\begin{cases}1&\text{for }i=j\\0&\text{for }i\neq j\end{cases}

which means \mathbf A^\top\mathbf A reduces to an n\times n matrix with ones along the diagonal and zero everywhere else, i.e.

\mathbf A^\top\mathbf A=\begin{bmatrix}1&0&\cdots&0\\0&1&\cdots&0\\\vdots&\vdots&\ddots&\vdots\\0&0&\cdots&1\end{bmatrix}=\mathbf I_n

where \mathbf I denotes the identity matrix. This means the solution to \mathbf{Ax}=\mathbf b is given by

\mathbf A^\top(\mathbf{Ax})=\mathbf A^\top\mathbf b\implies(\underbrace{\mathbf A^\top\mathbf A}_{\mathbf I})\mathbf x=\mathbf A^\top\mathbf b\implies\mathbf x=\mathbf A^\top\mathbf b
6 0
3 years ago
Answer the 3 screenshotted questions below. 30 points!
Triss [41]

Answer:

13.  36a^2b^4π  

14. 16x^3y^4π

15. -\frac{c^3}{4a^7b^3}

Step-by-step explanation:

13.

A = π * r^2

r = 6ab^2

A = π*  (6ab^2)^2

A = π * (6ab^2)(6ab^2)

A = π * 36a^2b^4

A = 36a^2b^4π  

14.

V = π * r^2 * h

r = 2x

h = 4xy^4

V = π * (2x)^2 * 4xy^4

V = π * 4x^2 * 4xy^4

V = π * 16x^3y^4

V = 16x^3y^4π

15. \frac{3a^{-4}b^2}{-12a^3b^5c^{-3}} = -\frac{c^3}{4a^7b^3}

\frac{3a^{-4}b^2}{-12a^3b^5c^{-3}}

\frac{a^{-4}}{-4a^3b^5c^{-3}}

\frac{b^2}{-4^{3+4}b^5c^{-3}}

\frac{b^2}{-4^7b^5c^{-3}}

\frac{1}{-4a^7b^{5-2}c^{-3}}

\frac{1}{-4a^7b^3c^{-3}}

\frac{c^3}{-4a^7b^3}

-\frac{c^3}{4a^7b^3}

Hope this helps!

3 0
3 years ago
Help me pleasee :) :)
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I know that one is obtuse and acute
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The green and the orange triangles drawn on the line are similar.
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Of these choices, the best is the last:
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While this will show the slope is the same everywhere, it does so by actually showing the inverse of the slope is the same everywhere. Slope is defined as
  slope = rise/run
3 0
4 years ago
Read 2 more answers
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