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3 years ago

The weight of an object on the moon is 1/6 its weight on earth .write1/6 as a decimal

Mathematics

2 answers:

irga5000 [103]3 years ago

6 0

Well you just have to dived the numerator by denominator so 1 divided by 6 and that will be your answer

quester [9]3 years ago

4 0

1/6.....this is simply 1 divided by 6 = 0.166 with a line over 66 because it is repeating

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Which row operation will triangularize this matrix?

Ludmilka [50]

Triangularizing matrix gives the matrix that has only zeroes above or below the main diagonal. To find which option is correct we need to calculate all of them.
In all these options we calculate result and write it into row that is first mentioned:

A)R1-R3
$\left[\begin{array}{ccc}-1&0&0|0\\0&1&1|6\\2&0&1|1\end{array}\right]$

B)2R2-R3
$\left[\begin{array}{ccc}1&0&1|1\\-2&2&1|4\\2&0&1|1\end{array}\right]$

C)-2R1+R3
$\left[\begin{array}{ccc}0&0&-1|-1\\0&1&1|6\\2&0&1|1\end{array}\right]$

D)2R1+R3
$\left[\begin{array}{ccc}4&0&3|3\\0&1&1|6\\2&0&1|1\end{array}\right]$

E)3R1+R3
$\left[\begin{array}{ccc}5&0&4|4\\0&1&1|6\\2&0&1|1\end{array}\right]$

None of the options will triangularize this matrix. The only way to <span>triangularize this matrix is
R3-2R1
</span> $\left[\begin{array}{ccc}1&0&1|1\\0&1&1|6\\0&0&-1|-1\end{array}\right]$
<span>
This equation is similar to C) but in reverse order. Order in which rows are written is important.</span>

4 0

3 years ago

Please help ASAP! 38 points

dangina [55]

$\boxed {y= \frac{2}{3} x - 17}$

$Slope \longrightarrow \frac{2}{3}$

$Y-intercept \longrightarrow -17$

$\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow$

$\boxed {4x-6y=-6}$

$Rearranging\ it \ to \ make \ y \ the \ subject$

$6y=4x +6$

$y= \frac{2}{3} x +1$

$Slope \longrightarrow \frac{2}{3}$

$Y-intercept \longrightarrow 1$

$\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow\downarrow$

$\boxed{Both \ the \ slope \ are \ the \ same \longrightarrow They \ are \ parallel }$

$\boxed {The \ y-intercepts \ are \ different

\longrightarrow They \ are \ not \ the \ same \ line }$

$\boxed{\boxed{Answer B}}$

5 0

3 years ago

2. What is the volume of the metal in this heavy-duty pipe? (It is not drawn to scale and the inside of the pipe is empty space.

Sergio [31]

Volume of the outer cylinder = 3.14 x (1.5)² x 18 = 127.17 ft²

Volume of the inner cylinder = 3.14 x (1)² x 18 = 56.52 ft²

Volume of the pipe = 127.17 - 56.52 = 70.65 ft²

Answer: 70.65 ft²

7 0

3 years ago

Find the degree of 2b^9c^5

Tems11 [23]

$\large \mathfrak{Solution : }$

Degree of a polynomial is the highest exponential power in the expression.

i.e 9 here

so, degree of the given expression is 9

6 0

3 years ago

What is the answer to -3=7(y-9/7)

iragen [17]

So, we start off with this:
$-3 = 7(y- \frac{9}{7} )$

First, use the distributive property on the right side of the equation:
$7(y - \frac{9}{7} ) = 7y - \frac{63}{7}$
We can then simplify $\frac{63}{7}$ to just 9. Now, our equation is:
$-3 = 7y - 9$
Add 9 to both sides:
$6 = 7y$
And finally, divide both sides by 7:
$\frac{6}{7} = y$

And there you have it! Hope I helped, let me know if you have any questions :)

5 0

3 years ago