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3 years ago

What is the square root of 361

Mathematics

1 answer:

ivann1987 [24]3 years ago

6 0

The answer would be 19. If u have a calculator you can just plug it in though

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What value of b makes the equation true? -6(b+3)=-8b+5

Dmitry_Shevchenko [17]

The answer is b= - 5/2

- 6 (b + 3)= - 8 + 5

- 6b - 18= - 3

- 6b= - 3 + 18

- 6b= 15

b= - 15/6

b= - 5/2

6 0

3 years ago

Read 2 more answers

Whats the absolute value of -8 and 8

Alla [95]

Answer:

Step-by-step explanation:

-8--------------------------0---------------------------8

imagine this is a straight line where you can measure the distances.

to get from -8 to 0 we have a distance of 8 units.

so, knowing this, now from 0 to 8 we have another distance of 8 units.

8+8=16

Distance is the absolute value, meaning that it'll always be positive.

4 0

2 years ago

Formulate the following problem as least squares problems. For each problem, give a matrixA and a vector b such that the problem

hammer [34]

Answer:

a) $A=\left[\begin{array}{ccc}1&2&3\\1&-1&1\end{array}\right]$

$b=\left[\begin{array}{ccc}0\\1\end{array}\right]$

b) $||Ax-b||^{2} =(-bx_{2}+4)^{2} (-4x_{1} +3x_{2} -1)^{2} +(x_{1} +8x_{2} -3)^{2}$

c) $A=\left[\begin{array}{ccc}0&6\sqrt{2} &0\\\sqrt{3} &3\sqrt{3} &0\\2&-16&0\end{array}\right]$

$x=\left[\begin{array}{ccc}x_{1} \\x_{2} \\x_{3} \end{array}\right]$

$b=\left[\begin{array}{ccc}-\sqrt{2} \\\sqrt{3} \\6\end{array}\right]$

Step-by-step explanation:

a) considering the equation:

Minimize $x_{1}^{2} +2x_{2}x^{2} +3x_{3}^{2}+(x_{1} -x_{2} +x_{3} -1)^{2} +(-x_{1} -4x_{2} +2)^{2}$

$A=\left[\begin{array}{ccc}1&2&3\\1&-1&1\end{array}\right]$ (matrix A)

vector b

$b=\left[\begin{array}{ccc}0\\1\end{array}\right]$

b) If Pxn is matrix B and p-vector d, we have:

minimize $(-6x_{2}+4)^{2} +(-4x_{1} +3x_{2} -1)+(x_{1} +8x_{2} -3)^{2}$

$Ax=\left[\begin{array}{ccc}0&-6&0\\-4&3&0\\1&8&0\end{array}\right]$

$\left[\begin{array}{ccc}x_{1} \\x_{2} \\x_{3} \end{array}\right]$

$b=\left[\begin{array}{ccc}-4\\1\\3\end{array}\right]$

$Ax-b=\left[\begin{array}{ccc}-bx_{2}+4 \\-4x_{1}+3x_{2}-1 \\x_{1}+8x_{2}-3 \end{array}\right] =1$

$||Ax-b||^{2} =(-bx_{2}+4)^{2} (-4x_{1} +3x_{2} -1)^{2} +(x_{1} +8x_{2} -3)^{2}$

c) minimize $2(-bx_{2}+4)^{2} +3(-4x_{1} +3x_{2} -1)^{2} +4(x_{1} -x_{2} -3)^{2} -(6\sqrt{2}x_{2} +4\sqrt{2} )^{2} +(-4\sqrt{3} x_{1} +3\sqrt{3}x_{2} -\sqrt{3})^{2} +(2x_{1} -16x_{2} -6)^{2}$

in matrix:

$A=\left[\begin{array}{ccc}0&6\sqrt{2} &0\\\sqrt{3} &3\sqrt{3} &0\\2&-16&0\end{array}\right]$

$x=\left[\begin{array}{ccc}x_{1} \\x_{2} \\x_{3} \end{array}\right]$

$b=\left[\begin{array}{ccc}-\sqrt{2} \\\sqrt{3} \\6\end{array}\right]$

6 0

3 years ago

A soccer team played 28 games and won 4 out of every 7 games. There are no ties.

Andrej [43]

16 games they won in total 28 ÷7 is 4 and they won 4 games in each 7 games so 4 times 4 is 16

8 0

3 years ago

A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 square

Jet001 [13]

Answer:

The correct answer is A. 22 inches ³

Step-by-step explanation:

Let's recall that the formula of the volume of a triangular pyramid:

Volume = 1/3 * Area of the base * height

Replacing with the values we have:

Volume = 1/3 * 11 inches² * 6 inches

Volume = 66/3

Volume = 22 inches ³

The correct answer is A. 22 inches ³

5 0

3 years ago