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4 years ago

What is 35 123/1000 as decimals

1 answer:

5 0

To determine the total variation in water level, multiply 1.8 mm/year by 2.2 years. The exact answer is 3.96 mm/year. Use rounding to check the answer by using the problem 2(2) =4. 4 is close to 3.96.

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Jordan received 9 text messages last week.She received 3 times more text message this week than last week. How many text message

vazorg [7]

If she got 9 messages last week and 3rimes as much this week then she got 27 messages because 9x3=27

8 0

3 years ago

Read 2 more answers

anyanavicka [17]

Answer:

Choice B

Step-by-step explanation:

When two shapes are similar their sides are always going to be proportional. So here we will set up a proportion to solve this.

$\frac{23}{40}=\frac{x}{17}$

Now we cross multiply

$391=40x$

After we got an equation we solve it

$x=9.775$

Since we got a decimal we will have to round it to the place they instruct for us, on this one it is 9.8 cm so it is choice b.

6 0

3 years ago

Bob decides he wants to make guitars and sell them online. He makes and sells Gibson Explorer’s and Gibson Flying V’s. He can ma

lozanna [386]

Okay so the equation. Lets say e is explorers and v is flying vs and m = money.

e + v > or = 30.

80e + 5v =m.

e < or = 20\
v < or = 20.
Okay, the most money he could make would be if he made 20 explorers at 80 dollars and 10 vs at 5 dollars.
Total money...
1600 + 50 = 1650.
So he could make $1650.

7 0

4 years ago

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

Matt went out to lunch yesterday. His meal cost $14.98. He wants to leave a 15% tip for his

Hatshy [7]

Answer:

$17.227 -> $17.23

Step-by-step explanation:

$14.98 × 0.15 = $2.247

$14.98 + $2.247 = $17.227

7 0

3 years ago