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jeka94
3 years ago
9

Please answer it in two minutes

Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

t = 1, u = 10

Step-by-step explanation:

50=t+49, 45=u+35 solve for t and u

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They split it 50/50 that's the answer
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Write each ratio as a fraction in the lowest terms
stich3 [128]

Answer:

1/4

Step-by-step explanation:

(4\times \frac{3}{8} ) : (12\times \frac{1}{2} )\\\\\frac{4\times \frac{3}{8}}{12\times \frac{1}{2}}\\\\\mathrm{Multiply\:}12\times \frac{1}{2}\::\quad 6\\=\frac{4\times \frac{3}{8}}{6}\\\\\mathrm{Multiply\:}4\times \frac{3}{8}\::\quad \frac{3}{2}\\=\frac{\frac{3}{2}}{6}\\\\=\frac{3}{2\times \:6}\\\\=\frac{3}{12}\\\\=\frac{1}{4}

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Mira finished 2/5 of a puzzle in 1/ 5 of an hour. At this rate, how many puzzles could she finish in 1 hour
Romashka-Z-Leto [24]
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3 years ago
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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
PLEASE HELP ME FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Sholpan [36]

Slope is the change in Y over the change in. X

Using two of the given points:

Slope = 70-45 / 25-10

Slope= 25/ 15

Slope = 5/3

6 0
4 years ago
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